Merge branch 'moment_estimation' into 'master'
First implementation of moment estimation See merge request Dynare/dynare!1750time-shift
commit
1dbbef9f2e
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@ -61,6 +61,7 @@ p = {'/distributions/' ; ...
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'/cli/' ; ...
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'/cli/' ; ...
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'/lmmcp/' ; ...
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'/lmmcp/' ; ...
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'/optimization/' ; ...
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'/optimization/' ; ...
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'/method_of_moments/' ; ...
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'/discretionary_policy/' ; ...
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'/discretionary_policy/' ; ...
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'/accessors/' ; ...
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'/accessors/' ; ...
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'/modules/dseries/src/' ; ...
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'/modules/dseries/src/' ; ...
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@ -626,28 +626,7 @@ end
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%% get the non-zero rows and columns of Sigma_e and H
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%% get the non-zero rows and columns of Sigma_e and H
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H_non_zero_rows=find(~all(M_.H==0,1));
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estim_params_= get_matrix_entries_for_psd_check(M_,estim_params_);
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H_non_zero_columns=find(~all(M_.H==0,2));
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if ~isequal(H_non_zero_rows,H_non_zero_columns')
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error('Measurement error matrix not symmetric')
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end
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if isfield(estim_params_,'nvn_observable_correspondence')
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estim_params_.H_entries_to_check_for_positive_definiteness=union(H_non_zero_rows,estim_params_.nvn_observable_correspondence(:,1));
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else
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estim_params_.H_entries_to_check_for_positive_definiteness=H_non_zero_rows;
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end
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Sigma_e_non_zero_rows=find(~all(M_.Sigma_e==0,1));
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Sigma_e_non_zero_columns=find(~all(M_.Sigma_e==0,2));
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if ~isequal(Sigma_e_non_zero_rows,Sigma_e_non_zero_columns')
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error('Structual error matrix not symmetric')
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end
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if isfield(estim_params_,'var_exo') && ~isempty(estim_params_.var_exo)
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estim_params_.Sigma_e_entries_to_check_for_positive_definiteness=union(Sigma_e_non_zero_rows,estim_params_.var_exo(:,1));
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else
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estim_params_.Sigma_e_entries_to_check_for_positive_definiteness=Sigma_e_non_zero_rows;
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end
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if options_.load_results_after_load_mh
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if options_.load_results_after_load_mh
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if ~exist([M_.fname '_results.mat'],'file')
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if ~exist([M_.fname '_results.mat'],'file')
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@ -0,0 +1,55 @@
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function estim_params_= get_matrix_entries_for_psd_check(M_,estim_params_)
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% function estim_params_= get_matrix_entries_for_psd_check(M_)
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% Get entries of Sigma_e and H to check for positive definiteness
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%
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% INPUTS
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% M_: structure storing the model information
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% estim_params_: structure storing information about estimated
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% parameters
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% OUTPUTS
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% estim_params_: structure storing information about estimated
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% parameters
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%
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% SPECIAL REQUIREMENTS
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% none
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% Copyright (C) 2020 Dynare Team
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%
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% This file is part of Dynare.
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%
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% Dynare is free software: you can redistribute it and/or modify
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% it under the terms of the GNU General Public License as published by
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% the Free Software Foundation, either version 3 of the License, or
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|
% (at your option) any later version.
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||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
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|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
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|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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|
% GNU General Public License for more details.
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|
%
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|
% You should have received a copy of the GNU General Public License
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|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
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||||||
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%% get the non-zero rows and columns of Sigma_e and H
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H_non_zero_rows=find(~all(M_.H==0,1));
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H_non_zero_columns=find(~all(M_.H==0,2));
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if ~isequal(H_non_zero_rows,H_non_zero_columns') || (any(any(M_.H-M_.H'>1e-10)))
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error('Measurement error matrix not symmetric')
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end
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if isfield(estim_params_,'nvn_observable_correspondence')
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estim_params_.H_entries_to_check_for_positive_definiteness=union(H_non_zero_rows,estim_params_.nvn_observable_correspondence(:,1));
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else
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estim_params_.H_entries_to_check_for_positive_definiteness=H_non_zero_rows;
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end
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Sigma_e_non_zero_rows=find(~all(M_.Sigma_e==0,1));
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Sigma_e_non_zero_columns=find(~all(M_.Sigma_e==0,2));
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if ~isequal(Sigma_e_non_zero_rows,Sigma_e_non_zero_columns') || (any(any(M_.Sigma_e-M_.Sigma_e'>1e-10)))
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error('Structual error matrix not symmetric')
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end
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if isfield(estim_params_,'var_exo') && ~isempty(estim_params_.var_exo)
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estim_params_.Sigma_e_entries_to_check_for_positive_definiteness=union(Sigma_e_non_zero_rows,estim_params_.var_exo(:,1));
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else
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estim_params_.Sigma_e_entries_to_check_for_positive_definiteness=Sigma_e_non_zero_rows;
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end
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@ -0,0 +1,918 @@
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function [oo_, options_mom_, M_] = method_of_moments(bayestopt_, options_, oo_, estim_params_, M_, matched_moments_, options_mom_)
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%function [oo_, options_mom_, M_] = method_of_moments(bayestopt_, options_, oo_, estim_params_, M_, matched_moments_, options_mom_)
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% -------------------------------------------------------------------------
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% This function performs a method of moments estimation with the following steps:
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% Step 0: Check if required structures and options exist
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% Step 1: - Prepare options_mom_ structure
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% - Carry over options from the preprocessor
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% - Initialize other options
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% - Get variable orderings and state space representation
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% Step 2: Checks and transformations for matched moments structure
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% Step 3: Checks and transformations for estimated parameters, priors, and bounds
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% Step 4: Checks and transformations for data
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% Step 5: Checks for steady state at initial parameters
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% Step 6: Checks for objective function at initial parameters
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% Step 7: Iterated method of moments estimation
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% Step 8: J-Test
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% Step 9: Clean up
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% -------------------------------------------------------------------------
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% This function is inspired by replication codes accompanied to the following papers:
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% o Andreasen, Fernández-Villaverde, Rubio-Ramírez (2018): "The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications", Review of Economic Studies, 85(1):1-49.
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% o Born, Pfeifer (2014): "Risk Matters: Comment", American Economic Review, 104(12):4231-4239.
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% o Mutschler (2018): "Higher-order statistics for DSGE models", Econometrics and Statistics, 6:44-56.
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% =========================================================================
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|
% INPUTS
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|
% o bayestopt_: [structure] information about priors
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% o options_: [structure] information about global options
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% o oo_: [structure] storage for results
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% o estim_params_: [structure] information about estimated parameters
|
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|
% o M_: [structure] information about model
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% o matched_moments_: [cell] information about selected moments to match in estimation
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% vars: matched_moments_{:,1});
|
||||||
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% lead/lags: matched_moments_{:,2};
|
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% powers: matched_moments_{:,3};
|
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% o options_mom_: [structure] information about settings specified by the user
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||||||
|
% -------------------------------------------------------------------------
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% OUTPUTS
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||||||
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% o oo_: [structure] storage for results (oo_)
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% o options_mom_: [structure] information about all (user-specified and updated) settings used in estimation (options_mom_)
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% -------------------------------------------------------------------------
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% This function is called by
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% o driver.m
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% -------------------------------------------------------------------------
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% This function calls
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% o check_for_calibrated_covariances.m
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% o check_prior_bounds.m
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% o do_parameter_initialization.m
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% o dynare_minimize_objective.m
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% o evaluate_steady_state
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|
% o get_all_parameters.m
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% o get_matrix_entries_for_psd_check.m
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% o makedataset.m
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% o method_of_moments_data_moments.m
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% o method_of_moments_mode_check.m
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% o method_of_moments_objective_function.m
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% o method_of_moments_optimal_weighting_matrix
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% o method_of_moments_standard_errors
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% o plot_priors.m
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% o print_info.m
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% o prior_bounds.m
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% o set_default_option.m
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% o set_prior.m
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% o set_state_space.m
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% o set_all_parameters.m
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% o test_for_deep_parameters_calibration.m
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% =========================================================================
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% Copyright (C) 2020 Dynare Team
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|
%
|
||||||
|
% This file is part of Dynare.
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||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
% -------------------------------------------------------------------------
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|
% Author(s):
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% o Willi Mutschler (willi@mutschler.eu)
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% o Johannes Pfeifer (jpfeifer@uni-koeln.de)
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% =========================================================================
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%% TO DO LIST
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% - [ ] why does lsqnonlin take less time in Andreasen toolbox?
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% - [ ] test user-specified weightning matrix
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% - [ ] which qz_criterium value?
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% - [ ] document that in method_of_moments_data_moments.m NaN are replaced by mean of moment
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% - [ ] add IRF matching
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% - [ ] test estimated_params_bounds block
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|
% - [ ] test what happens if all parameters will be estimated but some/all are not calibrated
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% - [ ] speed up lyapunov equation by using doubling with old initial values
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% - [ ] check smm at order > 3 without pruning
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|
% - [ ] provide option to use analytical derivatives to compute std errors (similar to what we already do in identification)
|
||||||
|
% - [ ] add Bayesian GMM/SMM estimation
|
||||||
|
% - [ ] useautocorr
|
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|
% - [ ] do we need dirname?
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% - [ ] decide on default weighting matrix scheme, I would propose 2 stage with Diagonal of optimal matrix
|
||||||
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% - [ ] check smm with product moments greater than 2
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||||||
|
% -------------------------------------------------------------------------
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||||||
|
% Step 0: Check if required structures and options exist
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|
% -------------------------------------------------------------------------
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if isempty(estim_params_) % structure storing the info about estimated parameters in the estimated_params block
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|
if ~(isfield(estim_params_,'nvx') && (size(estim_params_.var_exo,1)+size(estim_params_.var_endo,1)+size(estim_params_.corrx,1)+size(estim_params_.corrn,1)+size(estim_params_.param_vals,1))==0)
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|
error('method_of_moments: You need to provide an ''estimated_params'' block')
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|
else
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error('method_of_moments: The ''estimated_params'' block must not be empty')
|
||||||
|
end
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|
end
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if isempty(matched_moments_) % structure storing the moments used for the method of moments estimation
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|
error('method_of_moments: You need to provide a ''matched_moments'' block')
|
||||||
|
end
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|
if ~isempty(bayestopt_) && any(bayestopt_.pshape==0) && any(bayestopt_.pshape~=0)
|
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|
error('method_of_moments: Estimation must be either fully classical or fully Bayesian. Maybe you forgot to specify a prior distribution.')
|
||||||
|
end
|
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|
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|
if options_.logged_steady_state || options_.loglinear
|
||||||
|
error('method_of_moments: The loglinear option is not supported. Please append the required logged variables as auxiliary equations.\n')
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|
else
|
||||||
|
options_mom_.logged_steady_state = 0;
|
||||||
|
options_mom_.loglinear = false;
|
||||||
|
end
|
||||||
|
|
||||||
|
fprintf('\n==== Method of Moments (%s) Estimation ====\n\n',options_mom_.mom.mom_method)
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 1a: Prepare options_mom_ structure
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% options_mom_ is local and contains default and user-specified values for
|
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|
% all settings needed for the method of moments estimation. Some options,
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|
% though, are set by the preprocessor into options_ and we copy these over.
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|
% The idea is to be independent of options_ and have full control of the
|
||||||
|
% estimation instead of possibly having to deal with options chosen somewhere
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||||||
|
% else in the mod file.
|
||||||
|
|
||||||
|
% Method of Moments estimation options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
if strcmp(options_mom_.mom.mom_method,'GMM') || strcmp(options_mom_.mom.mom_method,'SMM')
|
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|
options_mom_.mom = set_default_option(options_mom_.mom,'bartlett_kernel_lag',20); % bandwith in optimal weighting matrix
|
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|
options_mom_.mom = set_default_option(options_mom_.mom,'penalized_estimator',false); % include deviation from prior mean as additional moment restriction and use prior precision as weight
|
||||||
|
options_mom_.mom = set_default_option(options_mom_.mom,'verbose',false); % display and store intermediate estimation results
|
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|
options_mom_.mom = set_default_option(options_mom_.mom,'weighting_matrix',{'DIAGONAL'; 'DIAGONAL'}); % weighting matrix in moments distance objective function at each iteration of estimation; cell of strings with
|
||||||
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% possible values are 'OPTIMAL', 'IDENTITY_MATRIX' ,'DIAGONAL' or a filename. Size of cell determines stages in iterated estimation.
|
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|
options_mom_.mom = set_default_option(options_mom_.mom,'weighting_matrix_scaling_factor',1); % scaling of weighting matrix
|
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options_mom_.mom = set_default_option(options_mom_.mom,'se_tolx',1e-5); % step size for numerical computation of standard errors
|
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|
options_mom_ = set_default_option(options_mom_,'order',1); % order of Taylor approximation in perturbation
|
||||||
|
options_mom_ = set_default_option(options_mom_,'pruning',true); % use pruned state space system at higher-order
|
||||||
|
% Checks for perturbation order
|
||||||
|
if options_mom_.order < 1
|
||||||
|
error('method_of_moments:: The order of the Taylor approximation cannot be 0!')
|
||||||
|
end
|
||||||
|
end
|
||||||
|
if strcmp(options_mom_.mom.mom_method,'SMM')
|
||||||
|
options_mom_.mom = set_default_option(options_mom_.mom,'burnin',500); % number of periods dropped at beginning of simulation
|
||||||
|
options_mom_.mom = set_default_option(options_mom_.mom,'bounded_shock_support',false); % trim shocks in simulation to +- 2 stdev
|
||||||
|
options_mom_.mom = set_default_option(options_mom_.mom,'seed',24051986); % seed used in simulations
|
||||||
|
options_mom_.mom = set_default_option(options_mom_.mom,'simulation_multiple',5); % multiple of the data length used for simulation
|
||||||
|
if options_mom_.mom.simulation_multiple < 1
|
||||||
|
fprintf('The simulation horizon is shorter than the data. Dynare resets the simulation_multiple to 5.\n')
|
||||||
|
options_mom_.mom.simulation_multiple = 5;
|
||||||
|
end
|
||||||
|
end
|
||||||
|
if strcmp(options_mom_.mom.mom_method,'GMM')
|
||||||
|
% Check for pruning with GMM at higher order
|
||||||
|
if options_mom_.order > 1 && ~options_mom_.pruning
|
||||||
|
fprintf('GMM at higher order only works with pruning, so we set pruning option to 1.\n');
|
||||||
|
options_mom_.pruning = true;
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
|
||||||
|
% General options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
options_mom_ = set_default_option(options_mom_,'dirname',M_.fname); % directory in which to store estimation output
|
||||||
|
options_mom_ = set_default_option(options_mom_,'graph_format','eps'); % specify the file format(s) for graphs saved to disk
|
||||||
|
options_mom_ = set_default_option(options_mom_,'nodisplay',false); % do not display the graphs, but still save them to disk
|
||||||
|
options_mom_ = set_default_option(options_mom_,'nograph',false); % do not create graphs (which implies that they are not saved to the disk nor displayed)
|
||||||
|
options_mom_ = set_default_option(options_mom_,'noprint',false); % do not print output to console
|
||||||
|
options_mom_ = set_default_option(options_mom_,'plot_priors',true); % control plotting of priors
|
||||||
|
options_mom_ = set_default_option(options_mom_,'prior_trunc',1e-10); % probability of extreme values of the prior density that is ignored when computing bounds for the parameters
|
||||||
|
options_mom_ = set_default_option(options_mom_,'TeX',false); % print TeX tables and graphics
|
||||||
|
|
||||||
|
% Data and model options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
options_mom_ = set_default_option(options_mom_,'first_obs',1); % number of first observation
|
||||||
|
options_mom_ = set_default_option(options_mom_,'logdata',false); % if data is already in logs
|
||||||
|
options_mom_ = set_default_option(options_mom_,'nobs',NaN); % number of observations
|
||||||
|
options_mom_ = set_default_option(options_mom_,'prefilter',false); % demean each data series by its empirical mean and use centered moments
|
||||||
|
options_mom_ = set_default_option(options_mom_,'xls_sheet',1); % name of sheet with data in Excel
|
||||||
|
options_mom_ = set_default_option(options_mom_,'xls_range',''); % range of data in Excel sheet
|
||||||
|
% Recursive estimation and forecast are not supported
|
||||||
|
if numel(options_mom_.nobs)>1
|
||||||
|
error('method_of_moments: Recursive estimation and forecast for samples is not supported. Please set an integer as ''nobs''.');
|
||||||
|
end
|
||||||
|
if numel(options_mom_.first_obs)>1
|
||||||
|
error('method_of_moments: Recursive estimation and forecast for samples is not supported. Please set an integer as ''first_obs''.');
|
||||||
|
end
|
||||||
|
|
||||||
|
% Optimization options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
options_mom_ = set_default_option(options_mom_,'huge_number',1e7); % value for replacing the infinite bounds on parameters by finite numbers. Used by some optimizers for numerical reasons
|
||||||
|
options_mom_ = set_default_option(options_mom_,'mode_compute',13); % specifies the optimizer for minimization of moments distance
|
||||||
|
options_mom_ = set_default_option(options_mom_,'additional_optimizer_steps',[]); % vector of additional mode-finders run after mode_compute
|
||||||
|
options_mom_ = set_default_option(options_mom_,'optim_opt',[]); % a list of NAME and VALUE pairs to set options for the optimization routines. Available options depend on mode_compute
|
||||||
|
options_mom_ = set_default_option(options_mom_,'silent_optimizer',false); % run minimization of moments distance silently without displaying results or saving files in between
|
||||||
|
% Mode_check plot options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
options_mom_.mode_check.nolik = false; % we don't do likelihood (also this initializes mode_check substructure)
|
||||||
|
options_mom_.mode_check = set_default_option(options_mom_.mode_check,'status',false); % plot the target function for values around the computed mode for each estimated parameter in turn. This is helpful to diagnose problems with the optimizer.
|
||||||
|
options_mom_.mode_check = set_default_option(options_mom_.mode_check,'neighbourhood_size',.5); % width of the window around the mode to be displayed on the diagnostic plots. This width is expressed in percentage deviation. The Inf value is allowed, and will trigger a plot over the entire domain
|
||||||
|
options_mom_.mode_check = set_default_option(options_mom_.mode_check,'symmetric_plots',true); % ensure that the check plots are symmetric around the mode. A value of 0 allows to have asymmetric plots, which can be useful if the posterior mode is close to a domain boundary, or in conjunction with mode_check_neighbourhood_size = Inf when the domain is not the entire real line
|
||||||
|
options_mom_.mode_check = set_default_option(options_mom_.mode_check,'number_of_points',20); % number of points around the mode where the target function is evaluated (for each parameter)
|
||||||
|
|
||||||
|
% Numerical algorithms options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
options_mom_ = set_default_option(options_mom_,'aim_solver',false); % use AIM algorithm to compute perturbation approximation instead of mjdgges
|
||||||
|
options_mom_ = set_default_option(options_mom_,'k_order_solver',false); % use k_order_perturbation instead of mjdgges
|
||||||
|
options_mom_ = set_default_option(options_mom_,'dr_cycle_reduction',false); % use cycle reduction algorithm to solve the polynomial equation for retrieving the coefficients associated to the endogenous variables in the decision rule
|
||||||
|
options_mom_ = set_default_option(options_mom_,'dr_cycle_reduction_tol',1e-7); % convergence criterion used in the cycle reduction algorithm
|
||||||
|
options_mom_ = set_default_option(options_mom_,'dr_logarithmic_reduction',false); % use logarithmic reduction algorithm to solve the polynomial equation for retrieving the coefficients associated to the endogenous variables in the decision rule
|
||||||
|
options_mom_ = set_default_option(options_mom_,'dr_logarithmic_reduction_maxiter',100); % maximum number of iterations used in the logarithmic reduction algorithm
|
||||||
|
options_mom_ = set_default_option(options_mom_,'dr_logarithmic_reduction_tol',1e-12); % convergence criterion used in the cycle reduction algorithm
|
||||||
|
options_mom_ = set_default_option(options_mom_,'lyapunov_db',false); % doubling algorithm (disclyap_fast) to solve Lyapunov equation to compute variance-covariance matrix of state variables
|
||||||
|
options_mom_ = set_default_option(options_mom_,'lyapunov_fp',false); % fixed-point algorithm to solve Lyapunov equation to compute variance-covariance matrix of state variables
|
||||||
|
options_mom_ = set_default_option(options_mom_,'lyapunov_srs',false); % square-root-solver (dlyapchol) algorithm to solve Lyapunov equation to compute variance-covariance matrix of state variables
|
||||||
|
options_mom_ = set_default_option(options_mom_,'lyapunov_complex_threshold',1e-15); % complex block threshold for the upper triangular matrix in symmetric Lyapunov equation solver
|
||||||
|
options_mom_ = set_default_option(options_mom_,'lyapunov_fixed_point_tol',1e-10); % convergence criterion used in the fixed point Lyapunov solver
|
||||||
|
options_mom_ = set_default_option(options_mom_,'lyapunov_doubling_tol',1e-16); % convergence criterion used in the doubling algorithm
|
||||||
|
options_mom_ = set_default_option(options_mom_,'sylvester_fp',false); % determines whether to use fixed point algorihtm to solve Sylvester equation (gensylv_fp), faster for large scale models
|
||||||
|
options_mom_ = set_default_option(options_mom_,'sylvester_fixed_point_tol',1e-12); % convergence criterion used in the fixed point Sylvester solver
|
||||||
|
options_mom_ = set_default_option(options_mom_,'qz_criterium',1-1e-6); % value used to split stable from unstable eigenvalues in reordering the Generalized Schur decomposition used for solving first order problems [IS THIS CORRET @wmutschl]
|
||||||
|
options_mom_ = set_default_option(options_mom_,'qz_zero_threshold',1e-6); % value used to test if a generalized eigenvalue is 0/0 in the generalized Schur decomposition
|
||||||
|
if options_mom_.order > 2
|
||||||
|
fprintf('Dynare will use ''k_order_solver'' as the order>2\n');
|
||||||
|
options_mom_.k_order_solver = true;
|
||||||
|
end
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 1b: Options that are set by the preprocessor and need to be carried over
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
|
||||||
|
% options related to VAROBS
|
||||||
|
if ~isfield(options_,'varobs')
|
||||||
|
error('method_of_moments: VAROBS statement is missing!')
|
||||||
|
else
|
||||||
|
options_mom_.varobs = options_.varobs; % observable variables in declaration order
|
||||||
|
options_mom_.obs_nbr = length(options_mom_.varobs); % number of observed variables
|
||||||
|
% Check that each declared observed variable is also an endogenous variable
|
||||||
|
for i = 1:options_mom_.obs_nbr
|
||||||
|
if ~any(strcmp(options_mom_.varobs{i},M_.endo_names))
|
||||||
|
error(['method_of_moments: Unknown variable (' options_mom_.varobs{i} ')!'])
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
% Check that a variable is not declared as observed more than once
|
||||||
|
if length(unique(options_mom_.varobs))<length(options_mom_.varobs)
|
||||||
|
for i = 1:options_mom_.obs_nbr
|
||||||
|
if sum(strcmp(options_mom_.varobs{i},options_mom_.varobs))>1
|
||||||
|
error(['method_of_moments: A variable cannot be declared as observed more than once (' options_mom_.varobs{i} ')!'])
|
||||||
|
end
|
||||||
|
end
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
% options related to variable declarations
|
||||||
|
if isfield(options_,'trend_coeffs')
|
||||||
|
error('method_of_moments: %s does not allow for trend in data',options_mom_.mom.mom_method)
|
||||||
|
end
|
||||||
|
|
||||||
|
% options related to estimated_params and estimated_params_init
|
||||||
|
options_mom_.use_calibration_initialization = options_.use_calibration_initialization;
|
||||||
|
|
||||||
|
% options related to model block
|
||||||
|
options_mom_.linear = options_.linear;
|
||||||
|
options_mom_.use_dll = options_.use_dll;
|
||||||
|
options_mom_.block = options_.block;
|
||||||
|
options_mom_.bytecode = options_.bytecode;
|
||||||
|
|
||||||
|
% options related to steady command
|
||||||
|
options_mom_.homotopy_force_continue = options_.homotopy_force_continue;
|
||||||
|
options_mom_.homotopy_mode = options_.homotopy_mode;
|
||||||
|
options_mom_.homotopy_steps = options_.homotopy_steps;
|
||||||
|
options_mom_.markowitz = options_.markowitz;
|
||||||
|
options_mom_.solve_algo = options_.solve_algo;
|
||||||
|
options_mom_.solve_tolf = options_.solve_tolf;
|
||||||
|
options_mom_.solve_tolx = options_.solve_tolx;
|
||||||
|
options_mom_.steady = options_.steady;
|
||||||
|
options_mom_.steadystate = options_.steadystate;
|
||||||
|
options_mom_.steadystate_flag = options_.steadystate_flag;
|
||||||
|
|
||||||
|
% options related to dataset
|
||||||
|
options_mom_.dataset = options_.dataset;
|
||||||
|
options_mom_.initial_period = options_.initial_period;
|
||||||
|
|
||||||
|
% options related to endogenous prior restrictions are not supported
|
||||||
|
options_mom_.endogenous_prior_restrictions.irf = {};
|
||||||
|
options_mom_.endogenous_prior_restrictions.moment = {};
|
||||||
|
if ~isempty(options_.endogenous_prior_restrictions.irf) && ~isempty(options_.endogenous_prior_restrictions.moment)
|
||||||
|
fprintf('Endogenous prior restrictions are not supported yet and will be skipped.\n')
|
||||||
|
end
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 1c: Options related to optimizers
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% mode_compute = 1, 3, 7, 11, 102, 11, 13
|
||||||
|
% nothing to be done
|
||||||
|
% mode_compute = 2
|
||||||
|
options_mom_.saopt = options_.saopt;
|
||||||
|
% mode_compute = 4
|
||||||
|
options_mom_.csminwel = options_.csminwel;
|
||||||
|
% mode_compute = 5
|
||||||
|
options_mom_.newrat = options_.newrat;
|
||||||
|
options_mom_.gstep = options_.gstep;
|
||||||
|
% mode_compute = 6
|
||||||
|
options_mom_.gmhmaxlik = options_.gmhmaxlik;
|
||||||
|
options_mom_.mh_jscale = options_.mh_jscale;
|
||||||
|
% mode_compute = 8
|
||||||
|
options_mom_.simplex = options_.simplex;
|
||||||
|
% mode_compute = 9
|
||||||
|
options_mom_.cmaes = options_.cmaes;
|
||||||
|
% mode_compute = 10
|
||||||
|
options_mom_.simpsa = options_.simpsa;
|
||||||
|
% mode_compute = 12
|
||||||
|
options_mom_.particleswarm = options_.particleswarm;
|
||||||
|
% mode_compute = 101
|
||||||
|
options_mom_.solveopt = options_.solveopt;
|
||||||
|
|
||||||
|
options_mom_.gradient_method = options_.gradient_method;
|
||||||
|
options_mom_.gradient_epsilon = options_.gradient_epsilon;
|
||||||
|
options_mom_.analytic_derivation = 0;
|
||||||
|
|
||||||
|
options_mom_.vector_output= false; % specifies whether the objective function returns a vector
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 1d: Other options that need to be initialized
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
options_mom_.initialize_estimated_parameters_with_the_prior_mode = 0; % needed by set_prior.m
|
||||||
|
options_mom_.figures.textwidth = 0.8; %needed by plot_priors.m
|
||||||
|
options_mom_.ramsey_policy = 0; % needed by evaluate_steady_state
|
||||||
|
options_mom_.debug = false; %needed by resol.m
|
||||||
|
options_mom_.risky_steadystate = false; %needed by resol
|
||||||
|
options_mom_.threads = options_.threads; %needed by resol
|
||||||
|
options_mom_.jacobian_flag = true;
|
||||||
|
options_mom_.gstep = options_.gstep;
|
||||||
|
|
||||||
|
% options_mom.dsge_var = false; %needed by check_list_of_variables
|
||||||
|
% options_mom.bayesian_irf = false; %needed by check_list_of_variables
|
||||||
|
% options_mom.moments_varendo = false; %needed by check_list_of_variables
|
||||||
|
% options_mom.smoother = false; %needed by check_list_of_variables
|
||||||
|
% options_mom.filter_step_ahead = []; %needed by check_list_of_variables
|
||||||
|
% options_mom.forecast = 0;
|
||||||
|
%options_mom_ = set_default_option(options_mom_,'endo_vars_for_moment_computations_in_estimation',[]);
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 1e: Get variable orderings and state space representation
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
oo_.dr = set_state_space(oo_.dr,M_,options_mom_);
|
||||||
|
% Get index of observed variables in DR order
|
||||||
|
oo_.dr.obs_var = [];
|
||||||
|
for i=1:options_mom_.obs_nbr
|
||||||
|
oo_.dr.obs_var = [oo_.dr.obs_var; find(strcmp(options_mom_.varobs{i}, M_.endo_names(oo_.dr.order_var)))];
|
||||||
|
end
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 2: Checks and transformations for matched moments structure (preliminary)
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Note that we do not have a preprocessor interface yet for this, so this
|
||||||
|
% will need much improvement later on. @wmutschl
|
||||||
|
|
||||||
|
% Initialize indices
|
||||||
|
options_mom_.mom.index.E_y = false(options_mom_.obs_nbr,1); %unconditional first order product moments
|
||||||
|
options_mom_.mom.index.E_yy = false(options_mom_.obs_nbr,options_mom_.obs_nbr); %unconditional second order product moments
|
||||||
|
options_mom_.mom.index.E_yyt = false(options_mom_.obs_nbr,options_mom_.obs_nbr,0); %unconditional temporal second order product moments
|
||||||
|
options_mom_.mom.index.E_y_pos = zeros(options_mom_.obs_nbr,1); %position in matched moments block
|
||||||
|
options_mom_.mom.index.E_yy_pos = zeros(options_mom_.obs_nbr,options_mom_.obs_nbr); %position in matched moments block
|
||||||
|
options_mom_.mom.index.E_yyt_pos = zeros(options_mom_.obs_nbr,options_mom_.obs_nbr,0); %position in matched moments block
|
||||||
|
|
||||||
|
for jm=1:size(matched_moments_,1)
|
||||||
|
% higher-order product moments not supported yet for GMM
|
||||||
|
if strcmp(options_mom_.mom.mom_method, 'GMM') && sum(matched_moments_{jm,3}) > 2
|
||||||
|
error('method_of_moments: GMM does not yet support product moments higher than 2. Change row %d in ''matched_moments'' block.',jm);
|
||||||
|
end
|
||||||
|
% Check if declared variables are also observed (needed as otherwise the dataset variables won't coincide)
|
||||||
|
if any(~ismember(oo_.dr.inv_order_var(matched_moments_{jm,1})', oo_.dr.obs_var))
|
||||||
|
error('method_of_moments: Variables in row %d in ''matched_moments'' block need to be declared as VAROBS.', jm)
|
||||||
|
end
|
||||||
|
|
||||||
|
if strcmp(options_mom_.mom.mom_method, 'GMM')
|
||||||
|
% Check (for now) that only lags are declared
|
||||||
|
if any(matched_moments_{jm,2}>0)
|
||||||
|
error('method_of_moments: Leads in row %d in the ''matched_moments'' block are not supported for GMM, shift the moments and declare only lags.', jm)
|
||||||
|
end
|
||||||
|
% Check (for now) that first declared variable has zero lag
|
||||||
|
if matched_moments_{jm,2}(1)~=0
|
||||||
|
error('method_of_moments: The first variable declared in row %d in the ''matched_moments'' block is not allowed to have a lead or lag for GMM;\n reorder the variables in the row such that the first variable has zero lag!',jm)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
vars = oo_.dr.inv_order_var(matched_moments_{jm,1})';
|
||||||
|
if sum(matched_moments_{jm,3}) == 1
|
||||||
|
% First-order product moment
|
||||||
|
vpos = (oo_.dr.obs_var == vars);
|
||||||
|
options_mom_.mom.index.E_y(vpos,1) = true;
|
||||||
|
options_mom_.mom.index.E_y_pos(vpos,1) = jm;
|
||||||
|
matched_moments_{jm,4}=['E(',M_.endo_names{matched_moments_{jm,1}},')'];
|
||||||
|
matched_moments_{jm,5}=['$E(',M_.endo_names_tex{matched_moments_{jm,1}},')$'];
|
||||||
|
elseif sum(matched_moments_{jm,3}) == 2
|
||||||
|
% Second-order product moment
|
||||||
|
idx1 = (oo_.dr.obs_var == vars(1));
|
||||||
|
idx2 = (oo_.dr.obs_var == vars(2));
|
||||||
|
lag1 = matched_moments_{jm,2}(1);
|
||||||
|
lag2 = matched_moments_{jm,2}(2);
|
||||||
|
if lag1==0 && lag2==0 % contemporaneous covariance matrix
|
||||||
|
options_mom_.mom.index.E_yy(idx1,idx2) = true;
|
||||||
|
options_mom_.mom.index.E_yy(idx2,idx1) = true;
|
||||||
|
options_mom_.mom.index.E_yy_pos(idx1,idx2) = jm;
|
||||||
|
options_mom_.mom.index.E_yy_pos(idx2,idx1) = jm;
|
||||||
|
matched_moments_{jm,4}=['E(',M_.endo_names{matched_moments_{jm,1}(1)},',',M_.endo_names{matched_moments_{jm,1}(2)},')'];
|
||||||
|
matched_moments_{jm,5}=['$E({',M_.endo_names_tex{matched_moments_{jm,1}(1)},'}_t,{',M_.endo_names_tex{matched_moments_{jm,1}(1)},'}_t)$'];
|
||||||
|
elseif lag1==0 && lag2 < 0
|
||||||
|
options_mom_.mom.index.E_yyt(idx1,idx2,-lag2) = true;
|
||||||
|
options_mom_.mom.index.E_yyt_pos(idx1,idx2,-lag2) = jm;
|
||||||
|
matched_moments_{jm,4}=['E(',M_.endo_names{matched_moments_{jm,1}(1)},',',M_.endo_names{matched_moments_{jm,1}(2)},'(',num2str(lag2),'))'];
|
||||||
|
matched_moments_{jm,5}=['$E({',M_.endo_names_tex{matched_moments_{jm,1}(1)},'}_t\times{',M_.endo_names_tex{matched_moments_{jm,1}(1)},'_{t',num2str(lag2) ,'})$'];
|
||||||
|
end
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
|
||||||
|
% @wmutschl: add check for duplicate moments by using the cellfun and unique functions
|
||||||
|
%Remove duplicate elements
|
||||||
|
UniqueMomIdx = [nonzeros(options_mom_.mom.index.E_y_pos); nonzeros(tril(options_mom_.mom.index.E_yy_pos)); nonzeros(options_mom_.mom.index.E_yyt_pos)];
|
||||||
|
DuplicateMoms = setdiff(1:size(matched_moments_,1),UniqueMomIdx);
|
||||||
|
if ~isempty(DuplicateMoms)
|
||||||
|
fprintf('Found and removed duplicate declared moments in ''matched_moments'' block in rows: %s.\n',num2str(DuplicateMoms))
|
||||||
|
end
|
||||||
|
%reorder matched_moments_ to be compatible with options_mom_.mom.index
|
||||||
|
matched_moments_ = matched_moments_(UniqueMomIdx,:);
|
||||||
|
if strcmp(options_mom_.mom.mom_method,'SMM')
|
||||||
|
options_mom_.mom=rmfield(options_mom_.mom,'index');
|
||||||
|
end
|
||||||
|
|
||||||
|
% Check if both prefilter and first moments were specified
|
||||||
|
options_mom_.mom.first_moment_indicator = find(cellfun(@(x) sum(abs(x))==1,matched_moments_(:,3)))';
|
||||||
|
if options_mom_.prefilter && ~isempty(options_mom_.mom.first_moment_indicator)
|
||||||
|
fprintf('Centered moments requested (prefilter option is set); therefore, ignore declared first moments in ''matched_moments'' block in rows: %u.\n',options_mom_.mom.first_moment_indicator');
|
||||||
|
matched_moments_(options_mom_.mom.first_moment_indicator,:)=[]; %remove first moments entries
|
||||||
|
options_mom_.mom.first_moment_indicator = [];
|
||||||
|
end
|
||||||
|
options_mom_.mom.mom_nbr = size(matched_moments_,1);
|
||||||
|
|
||||||
|
% Get maximum lag number for autocovariances/autocorrelations
|
||||||
|
options_mom_.ar = max(cellfun(@max,matched_moments_(:,2))) - min(cellfun(@min,matched_moments_(:,2)));
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 3: Checks and transformations for estimated parameters, priors, and bounds
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
|
||||||
|
% Set priors and bounds over the estimated parameters
|
||||||
|
[xparam0, estim_params_, bayestopt_, lb, ub, M_] = set_prior(estim_params_, M_, options_mom_);
|
||||||
|
|
||||||
|
% Check measurement errors
|
||||||
|
if (estim_params_.nvn || estim_params_.ncn) && strcmp(options_mom_.mom.mom_method, 'GMM')
|
||||||
|
error('method_of_moments: GMM estimation does not support measurement error(s) yet. Please specifiy them as a structural shock.')
|
||||||
|
end
|
||||||
|
|
||||||
|
% Check if enough moments for estimation
|
||||||
|
if options_mom_.mom.mom_nbr < length(xparam0)
|
||||||
|
fprintf('\n');
|
||||||
|
error('method_of_moments: We must have at least as many moments as parameters for a method of moments estimation.')
|
||||||
|
end
|
||||||
|
fprintf('\n\n')
|
||||||
|
|
||||||
|
% Check if a _prior_restrictions.m file exists
|
||||||
|
if exist([M_.fname '_prior_restrictions.m'],'file')
|
||||||
|
options_mom_.prior_restrictions.status = 1;
|
||||||
|
options_mom_.prior_restrictions.routine = str2func([M_.fname '_prior_restrictions']);
|
||||||
|
end
|
||||||
|
|
||||||
|
bayestopt_laplace=bayestopt_;
|
||||||
|
|
||||||
|
% Check on specified priors and penalized estimation
|
||||||
|
if any(bayestopt_laplace.pshape > 0) % prior specified, not ML
|
||||||
|
if ~options_mom_.mom.penalized_estimator
|
||||||
|
fprintf('\nPriors were specified, but the penalized_estimator-option was not set.\n')
|
||||||
|
fprintf('Dynare sets penalized_estimator to 1. Conducting %s with penalty.\n',options_mom_.mom.mom_method)
|
||||||
|
options_mom_.mom.penalized_estimator=1;
|
||||||
|
end
|
||||||
|
if any(setdiff([0;bayestopt_laplace.pshape],[0,3]))
|
||||||
|
fprintf('\nNon-normal priors specified. %s with penalty uses a Laplace type of approximation.\n',options_mom_.mom.mom_method)
|
||||||
|
fprintf('Only the prior mean and standard deviation are relevant, all other shape information, except for the parameter bounds, is ignored.\n\n')
|
||||||
|
non_normal_priors=bayestopt_laplace.pshape~=3;
|
||||||
|
bayestopt_laplace.pshape(non_normal_priors) = 3;
|
||||||
|
bayestopt_laplace.p3(non_normal_priors) = -Inf*ones(sum(non_normal_priors),1);
|
||||||
|
bayestopt_laplace.p4(non_normal_priors) = Inf*ones(sum(non_normal_priors),1);
|
||||||
|
bayestopt_laplace.p6(non_normal_priors) = bayestopt_laplace.p1(non_normal_priors);
|
||||||
|
bayestopt_laplace.p7(non_normal_priors) = bayestopt_laplace.p2(non_normal_priors);
|
||||||
|
bayestopt_laplace.p5(non_normal_priors) = bayestopt_laplace.p1(non_normal_priors);
|
||||||
|
end
|
||||||
|
if any(isinf(bayestopt_laplace.p2)) %find infinite variance priors
|
||||||
|
inf_var_pars=bayestopt_laplace.name(isinf(bayestopt_laplace.p2));
|
||||||
|
disp_string=[inf_var_pars{1,:}];
|
||||||
|
for ii=2:size(inf_var_pars,1)
|
||||||
|
disp_string=[disp_string,', ',inf_var_pars{ii,:}];
|
||||||
|
end
|
||||||
|
fprintf('The parameter(s) %s have infinite prior variance. This implies a flat prior\n',disp_string)
|
||||||
|
fprintf('Dynare disables the matrix singularity warning\n')
|
||||||
|
if isoctave
|
||||||
|
warning('off','Octave:singular-matrix');
|
||||||
|
else
|
||||||
|
warning('off','MATLAB:singularMatrix');
|
||||||
|
end
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
% Check for calibrated covariances before updating parameters
|
||||||
|
estim_params_ = check_for_calibrated_covariances(xparam0,estim_params_,M_);
|
||||||
|
|
||||||
|
% Checks on parameter calibration and initialization
|
||||||
|
xparam1_calib = get_all_parameters(estim_params_,M_); %get calibrated parameters
|
||||||
|
if ~any(isnan(xparam1_calib)) %all estimated parameters are calibrated
|
||||||
|
estim_params_.full_calibration_detected=1;
|
||||||
|
else
|
||||||
|
estim_params_.full_calibration_detected=0;
|
||||||
|
end
|
||||||
|
if options_mom_.use_calibration_initialization %set calibration as starting values
|
||||||
|
if ~isempty(bayestopt_laplace) && all(bayestopt_laplace.pshape==0) && any(all(isnan([xparam1_calib xparam0]),2))
|
||||||
|
error('method_of_moments: When using the use_calibration option with %s without prior, the parameters must be explicitly initialized.',options_mom_.mom.mom_method)
|
||||||
|
else
|
||||||
|
[xparam0,estim_params_]=do_parameter_initialization(estim_params_,xparam1_calib,xparam0); %get explicitly initialized parameters that have precedence over calibrated values
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
% Check initialization
|
||||||
|
if ~isempty(bayestopt_laplace) && all(bayestopt_laplace.pshape==0) && any(isnan(xparam0))
|
||||||
|
error('method_of_moments: %s without penalty requires all estimated parameters to be initialized, either in an estimated_params or estimated_params_init-block ',options_mom_.mom.mom_method)
|
||||||
|
end
|
||||||
|
|
||||||
|
% Set and check parameter bounds
|
||||||
|
if ~isempty(bayestopt_laplace) && any(bayestopt_laplace.pshape > 0)
|
||||||
|
% Plot prior densities
|
||||||
|
if ~options_mom_.nograph && options_mom_.plot_priors
|
||||||
|
plot_priors(bayestopt_,M_,estim_params_,options_mom_)
|
||||||
|
plot_priors(bayestopt_laplace,M_,estim_params_,options_mom_,'Laplace approximated priors')
|
||||||
|
end
|
||||||
|
% Set prior bounds
|
||||||
|
Bounds = prior_bounds(bayestopt_laplace, options_mom_.prior_trunc);
|
||||||
|
Bounds.lb = max(Bounds.lb,lb);
|
||||||
|
Bounds.ub = min(Bounds.ub,ub);
|
||||||
|
else % estimated parameters but no declared priors
|
||||||
|
% No priors are declared so Dynare will estimate the parameters
|
||||||
|
% with inequality constraints for the parameters.
|
||||||
|
Bounds.lb = lb;
|
||||||
|
Bounds.ub = ub;
|
||||||
|
if options_mom_.mom.penalized_estimator
|
||||||
|
fprintf('Penalized estimation turned off as you did not declare priors\n')
|
||||||
|
options_mom_.mom.penalized_estimator = 0;
|
||||||
|
end
|
||||||
|
end
|
||||||
|
% Set correct bounds for standard deviations and corrrelations
|
||||||
|
param_of_interest=(1:length(xparam0))'<=estim_params_.nvx+estim_params_.nvn;
|
||||||
|
LB_below_0=(Bounds.lb<0 & param_of_interest);
|
||||||
|
Bounds.lb(LB_below_0)=0;
|
||||||
|
param_of_interest=(1:length(xparam0))'> estim_params_.nvx+estim_params_.nvn & (1:length(xparam0))'<estim_params_.nvx+estim_params_.nvn +estim_params_.ncx + estim_params_.ncn;
|
||||||
|
LB_below_minus_1=(Bounds.lb<-1 & param_of_interest);
|
||||||
|
UB_above_1=(Bounds.ub>1 & param_of_interest);
|
||||||
|
Bounds.lb(LB_below_minus_1)=-1;
|
||||||
|
Bounds.ub(UB_above_1)=1;
|
||||||
|
|
||||||
|
clear('bayestopt_','LB_below_0','LB_below_minus_1','UB_above_1','param_of_interest');%make sure stale structure cannot be used
|
||||||
|
|
||||||
|
% Test if initial values of the estimated parameters are all between the prior lower and upper bounds
|
||||||
|
if options_mom_.use_calibration_initialization
|
||||||
|
try
|
||||||
|
check_prior_bounds(xparam0,Bounds,M_,estim_params_,options_mom_,bayestopt_laplace)
|
||||||
|
catch last_error
|
||||||
|
fprintf('Cannot use parameter values from calibration as they violate the prior bounds.')
|
||||||
|
rethrow(last_error);
|
||||||
|
end
|
||||||
|
else
|
||||||
|
check_prior_bounds(xparam0,Bounds,M_,estim_params_,options_mom_,bayestopt_laplace)
|
||||||
|
end
|
||||||
|
|
||||||
|
estim_params_= get_matrix_entries_for_psd_check(M_,estim_params_);
|
||||||
|
|
||||||
|
% Set sigma_e_is_diagonal flag (needed if the shocks block is not declared in the mod file).
|
||||||
|
M_.sigma_e_is_diagonal = true;
|
||||||
|
if estim_params_.ncx || any(nnz(tril(M_.Correlation_matrix,-1))) || isfield(estim_params_,'calibrated_covariances')
|
||||||
|
M_.sigma_e_is_diagonal = false;
|
||||||
|
end
|
||||||
|
|
||||||
|
% storing prior parameters in MoM info structure for penalized minimization
|
||||||
|
oo_.prior.mean = bayestopt_laplace.p1;
|
||||||
|
oo_.prior.variance = diag(bayestopt_laplace.p2.^2);
|
||||||
|
|
||||||
|
% Set all parameters
|
||||||
|
M_ = set_all_parameters(xparam0,estim_params_,M_);
|
||||||
|
|
||||||
|
%provide warning if there is NaN in parameters
|
||||||
|
test_for_deep_parameters_calibration(M_);
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 4: Checks and transformations for data
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
|
||||||
|
% Check if datafile has same name as mod file
|
||||||
|
[~,name,~] = fileparts(options_mom_.datafile);
|
||||||
|
if strcmp(name,M_.fname)
|
||||||
|
error('method_of_moments: Data-file and mod-file are not allowed to have the same name. Please change the name of the data file.')
|
||||||
|
end
|
||||||
|
|
||||||
|
% Build dataset
|
||||||
|
dataset_ = makedataset(options_mom_);
|
||||||
|
|
||||||
|
% set options for old interface from the ones for new interface
|
||||||
|
if ~isempty(dataset_)
|
||||||
|
options_mom_.nobs = dataset_.nobs;
|
||||||
|
end
|
||||||
|
|
||||||
|
% provide info on missing observations
|
||||||
|
if any(any(isnan(dataset_.data)))
|
||||||
|
fprintf('missing observations will be replaced by the sample mean of the corresponding moment')
|
||||||
|
end
|
||||||
|
|
||||||
|
% Check length of data for estimation of second moments
|
||||||
|
if options_mom_.ar > options_mom_.nobs+1
|
||||||
|
error('method_of_moments: Data set is too short to compute second moments');
|
||||||
|
end
|
||||||
|
|
||||||
|
% Get data moments for the method of moments
|
||||||
|
[oo_.mom.data_moments, oo_.mom.m_data] = method_of_moments_data_moments(dataset_.data, oo_, matched_moments_, options_mom_);
|
||||||
|
|
||||||
|
% Get shock series for SMM and set variance correction factor
|
||||||
|
if strcmp(options_mom_.mom.mom_method,'SMM')
|
||||||
|
options_mom_.mom.long = round(options_mom_.mom.simulation_multiple*options_mom_.nobs);
|
||||||
|
options_mom_.mom.variance_correction_factor = (1+1/options_mom_.mom.simulation_multiple);
|
||||||
|
% draw shocks for SMM
|
||||||
|
smmstream = RandStream('mt19937ar','Seed',options_mom_.mom.seed);
|
||||||
|
temp_shocks = randn(smmstream,options_mom_.mom.long+options_mom_.mom.burnin,M_.exo_nbr);
|
||||||
|
temp_shocks_ME = randn(smmstream,options_mom_.mom.long,length(M_.H));
|
||||||
|
if options_mom_.mom.bounded_shock_support == 1
|
||||||
|
temp_shocks(temp_shocks>2) = 2;
|
||||||
|
temp_shocks(temp_shocks<-2) = -2;
|
||||||
|
temp_shocks_ME(temp_shocks_ME<-2) = -2;
|
||||||
|
temp_shocks_ME(temp_shocks_ME<-2) = -2;
|
||||||
|
end
|
||||||
|
options_mom_.mom.shock_series = temp_shocks;
|
||||||
|
options_mom_.mom.ME_shock_series = temp_shocks_ME;
|
||||||
|
end
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 5: checks for steady state at initial parameters
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
|
||||||
|
% setting steadystate_check_flag option
|
||||||
|
if options_mom_.steadystate.nocheck
|
||||||
|
steadystate_check_flag = 0;
|
||||||
|
else
|
||||||
|
steadystate_check_flag = 1;
|
||||||
|
end
|
||||||
|
|
||||||
|
old_steady_params=M_.params; %save initial parameters for check if steady state changes param values
|
||||||
|
% Check steady state at initial model parameter values
|
||||||
|
[oo_.steady_state, new_steady_params, info] = evaluate_steady_state(oo_.steady_state,M_,options_mom_,oo_,steadystate_check_flag);
|
||||||
|
if info(1)
|
||||||
|
fprintf('\nmethod_of_moments: The steady state at the initial parameters cannot be computed.\n')
|
||||||
|
print_info(info, 0, options_mom_);
|
||||||
|
end
|
||||||
|
|
||||||
|
% check whether steady state file changes estimated parameters
|
||||||
|
if isfield(estim_params_,'param_vals') && ~isempty(estim_params_.param_vals)
|
||||||
|
Model_par_varied=M_; %store M_ structure
|
||||||
|
|
||||||
|
Model_par_varied.params(estim_params_.param_vals(:,1))=Model_par_varied.params(estim_params_.param_vals(:,1))*1.01; %vary parameters
|
||||||
|
[~, new_steady_params_2] = evaluate_steady_state(oo_.steady_state,Model_par_varied,options_mom_,oo_,1);
|
||||||
|
|
||||||
|
changed_par_indices=find((old_steady_params(estim_params_.param_vals(:,1))-new_steady_params(estim_params_.param_vals(:,1))) ...
|
||||||
|
| (Model_par_varied.params(estim_params_.param_vals(:,1))-new_steady_params_2(estim_params_.param_vals(:,1))));
|
||||||
|
|
||||||
|
if ~isempty(changed_par_indices)
|
||||||
|
fprintf('\nThe steady state file internally changed the values of the following estimated parameters:\n')
|
||||||
|
disp(char(M_.param_names(estim_params_.param_vals(changed_par_indices,1))))
|
||||||
|
fprintf('This will override parameter values and may lead to wrong results.\n')
|
||||||
|
fprintf('Check whether this is really intended.\n')
|
||||||
|
warning('The steady state file internally changes the values of the estimated parameters.')
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
% display warning if some parameters are still NaN
|
||||||
|
test_for_deep_parameters_calibration(M_);
|
||||||
|
|
||||||
|
% If steady state of observed variables is non zero, set noconstant equal 0
|
||||||
|
if all(abs(oo_.steady_state(oo_.dr.order_var(oo_.dr.obs_var)))<1e-9)
|
||||||
|
options_mom_.noconstant = 1;
|
||||||
|
else
|
||||||
|
options_mom_.noconstant = 0;
|
||||||
|
end
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 6: checks for objective function at initial parameters
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
objective_function = str2func('method_of_moments_objective_function');
|
||||||
|
try
|
||||||
|
% Check for NaN or complex values of moment-distance-funtion evaluated
|
||||||
|
% at initial parameters and identity weighting matrix
|
||||||
|
oo_.mom.Sw = eye(options_mom_.mom.mom_nbr);
|
||||||
|
tic_id = tic;
|
||||||
|
[fval, info, ~, ~, ~, oo_, M_] = feval(objective_function, xparam0, Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_);
|
||||||
|
elapsed_time = toc(tic_id);
|
||||||
|
if isnan(fval)
|
||||||
|
error('method_of_moments: The initial value of the objective function is NaN')
|
||||||
|
elseif imag(fval)
|
||||||
|
error('method_of_moments: The initial value of the objective function is complex')
|
||||||
|
end
|
||||||
|
if info(1) > 0
|
||||||
|
disp('method_of_moments: Error in computing the objective function for initial parameter values')
|
||||||
|
print_info(info, options_mom_.noprint, options_mom_)
|
||||||
|
end
|
||||||
|
fprintf('Initial value of the moment objective function with %4.1f times identity weighting matrix: %6.4f \n\n', options_mom_.mom.weighting_matrix_scaling_factor, fval);
|
||||||
|
fprintf('Time required to compute objective function once: %5.4f seconds \n', elapsed_time);
|
||||||
|
|
||||||
|
catch last_error% if check fails, provide info on using calibration if present
|
||||||
|
if estim_params_.full_calibration_detected %calibrated model present and no explicit starting values
|
||||||
|
skipline(1);
|
||||||
|
fprintf('There was an error in computing the moments for initial parameter values.\n')
|
||||||
|
fprintf('If this is not a problem with the setting of options (check the error message below),\n')
|
||||||
|
fprintf('you should try using the calibrated version of the model as starting values. To do\n')
|
||||||
|
fprintf('this, add an empty estimated_params_init-block with use_calibration option immediately before the estimation\n')
|
||||||
|
fprintf('command (and after the estimated_params-block so that it does not get overwritten):\n');
|
||||||
|
skipline(2);
|
||||||
|
end
|
||||||
|
rethrow(last_error);
|
||||||
|
end
|
||||||
|
|
||||||
|
if options_mom_.mode_compute == 0 %We only report value of moments distance at initial value of the parameters
|
||||||
|
fprintf('No minimization of moments distance due to ''mode_compute=0''\n')
|
||||||
|
return
|
||||||
|
end
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 7a: Method of moments estimation: print some info
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
fprintf('\n---------------------------------------------------\n')
|
||||||
|
if strcmp(options_mom_.mom.mom_method,'SMM')
|
||||||
|
fprintf('Simulated method of moments with');
|
||||||
|
elseif strcmp(options_mom_.mom.mom_method,'GMM')
|
||||||
|
fprintf('General method of moments with');
|
||||||
|
end
|
||||||
|
if options_mom_.prefilter
|
||||||
|
fprintf('\n - centered moments (prefilter=1)');
|
||||||
|
else
|
||||||
|
fprintf('\n - uncentered moments (prefilter=0)');
|
||||||
|
end
|
||||||
|
if options_mom_.mom.penalized_estimator
|
||||||
|
fprintf('\n - penalized estimation using deviation from prior mean and weighted with prior precision');
|
||||||
|
end
|
||||||
|
if options_mom_.mode_compute == 1; fprintf('\n - optimizer (mode_compute=1): fmincon');
|
||||||
|
elseif options_mom_.mode_compute == 2; fprintf('\n - optimizer (mode_compute=2): continuous simulated annealing');
|
||||||
|
elseif options_mom_.mode_compute == 3; fprintf('\n - optimizer (mode_compute=3): fminunc');
|
||||||
|
elseif options_mom_.mode_compute == 4; fprintf('\n - optimizer (mode_compute=4): csminwel');
|
||||||
|
elseif options_mom_.mode_compute == 5; fprintf('\n - optimizer (mode_compute=5): newrat');
|
||||||
|
elseif options_mom_.mode_compute == 6; fprintf('\n - optimizer (mode_compute=6): gmhmaxlik');
|
||||||
|
elseif options_mom_.mode_compute == 7; fprintf('\n - optimizer (mode_compute=7): fminsearch');
|
||||||
|
elseif options_mom_.mode_compute == 8; fprintf('\n - optimizer (mode_compute=8): Dynare Nelder-Mead simplex');
|
||||||
|
elseif options_mom_.mode_compute == 9; fprintf('\n - optimizer (mode_compute=9): CMA-ES');
|
||||||
|
elseif options_mom_.mode_compute == 10; fprintf('\n - optimizer (mode_compute=10): simpsa');
|
||||||
|
elseif options_mom_.mode_compute == 11; fprintf('\n - optimizer (mode_compute=11): online_auxiliary_filter');
|
||||||
|
elseif options_mom_.mode_compute == 12; fprintf('\n - optimizer (mode_compute=12): particleswarm');
|
||||||
|
elseif options_mom_.mode_compute == 101; fprintf('\n - optimizer (mode_compute=101): SolveOpt');
|
||||||
|
elseif options_mom_.mode_compute == 102; fprintf('\n - optimizer (mode_compute=102): simulannealbnd');
|
||||||
|
elseif options_mom_.mode_compute == 13; fprintf('\n - optimizer (mode_compute=13): lsqnonlin');
|
||||||
|
elseif ischar(minimizer_algorithm); fprintf(['\n - user-defined optimizer: ' minimizer_algorithm]);
|
||||||
|
else
|
||||||
|
error('method_of_moments: Unknown optimizer, please contact the developers ')
|
||||||
|
end
|
||||||
|
if options_mom_.silent_optimizer
|
||||||
|
fprintf(' (silent)');
|
||||||
|
end
|
||||||
|
fprintf('\n - perturbation order: %d', options_mom_.order)
|
||||||
|
if options_mom_.order > 1 && options_mom_.pruning
|
||||||
|
fprintf(' (with pruning)')
|
||||||
|
end
|
||||||
|
fprintf('\n - number of matched moments: %d', options_mom_.mom.mom_nbr);
|
||||||
|
fprintf('\n - number of parameters: %d\n\n', length(xparam0));
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 7b: Iterated method of moments estimation
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
if size(options_mom_.mom.weighting_matrix,1)>1 && ~(any(strcmpi('diagonal',options_mom_.mom.weighting_matrix)) || any(strcmpi('optimal',options_mom_.mom.weighting_matrix)))
|
||||||
|
fprintf('\nYou did not specify the use of an optimal or diagonal weighting matrix. There is no point in running an iterated method of moments.\n')
|
||||||
|
end
|
||||||
|
|
||||||
|
optimizer_vec=[options_mom_.mode_compute,options_mom_.additional_optimizer_steps]; % at each stage one can possibly use different optimizers sequentially
|
||||||
|
|
||||||
|
for stage_iter=1:size(options_mom_.mom.weighting_matrix,1)
|
||||||
|
fprintf('Estimation stage %u\n',stage_iter);
|
||||||
|
Woptflag = false;
|
||||||
|
switch lower(options_mom_.mom.weighting_matrix{stage_iter})
|
||||||
|
case 'identity_matrix'
|
||||||
|
fprintf(' - identity weighting matrix\n');
|
||||||
|
weighting_matrix = eye(options_mom_.mom.mom_nbr);
|
||||||
|
case 'diagonal'
|
||||||
|
fprintf(' - diagonal of optimal weighting matrix (Bartlett kernel with %d lags)\n', options_mom_.mom.bartlett_kernel_lag);
|
||||||
|
if stage_iter == 1
|
||||||
|
fprintf(' and using data-moments as initial estimate of model-moments\n');
|
||||||
|
weighting_matrix = diag(diag( method_of_moments_optimal_weighting_matrix(oo_.mom.m_data, oo_.mom.data_moments, options_mom_.mom.bartlett_kernel_lag) ));
|
||||||
|
else
|
||||||
|
fprintf(' and using previous stage estimate of model-moments\n');
|
||||||
|
weighting_matrix = diag(diag( method_of_moments_optimal_weighting_matrix(oo_.mom.m_data, oo_.mom.model_moments, options_mom_.mom.bartlett_kernel_lag) ));
|
||||||
|
end
|
||||||
|
case 'optimal'
|
||||||
|
fprintf(' - optimal weighting matrix (Bartlett kernel with %d lags)\n', options_mom_.mom.bartlett_kernel_lag);
|
||||||
|
if stage_iter == 1
|
||||||
|
fprintf(' and using data-moments as initial estimate of model-moments\n');
|
||||||
|
weighting_matrix = method_of_moments_optimal_weighting_matrix(oo_.mom.m_data, oo_.mom.data_moments, options_mom_.mom.bartlett_kernel_lag);
|
||||||
|
else
|
||||||
|
fprintf(' and using previous stage estimate of model-moments\n');
|
||||||
|
weighting_matrix = method_of_moments_optimal_weighting_matrix(oo_.mom.m_data, oo_.mom.model_moments, options_mom_.mom.bartlett_kernel_lag);
|
||||||
|
Woptflag = true;
|
||||||
|
end
|
||||||
|
otherwise %user specified matrix in file
|
||||||
|
fprintf(' - user-specified weighting matrix\n');
|
||||||
|
try
|
||||||
|
load(options_mom_.mom.weighting_matrix{stage_iter},'weighting_matrix')
|
||||||
|
catch
|
||||||
|
error(['method_of_moments: No matrix named ''weighting_matrix'' could be found in ',options_mom_.mom.weighting_matrix{stage_iter},'.mat'])
|
||||||
|
end
|
||||||
|
[nrow, ncol] = size(weighting_matrix);
|
||||||
|
if ~isequal(nrow,ncol) || ~isequal(nrow,length(oo_.mom.data_moments)) %check if square and right size
|
||||||
|
error(['method_of_moments: weighting_matrix must be square and have ',num2str(length(oo_.mom.data_moments)),' rows and columns'])
|
||||||
|
end
|
||||||
|
end
|
||||||
|
try %check for positive definiteness of weighting_matrix
|
||||||
|
oo_.mom.Sw = chol(weighting_matrix);
|
||||||
|
catch
|
||||||
|
error('method_of_moments: Specified weighting_matrix is not positive definite. Check whether your model implies stochastic singularity.')
|
||||||
|
end
|
||||||
|
|
||||||
|
for optim_iter= 1:length(optimizer_vec)
|
||||||
|
if optimizer_vec(optim_iter)==13
|
||||||
|
options_mom_.vector_output = true;
|
||||||
|
else
|
||||||
|
options_mom_.vector_output = false;
|
||||||
|
end
|
||||||
|
[xparam1, fval, exitflag] = dynare_minimize_objective(objective_function, xparam0, optimizer_vec(optim_iter), options_mom_, [Bounds.lb Bounds.ub], bayestopt_laplace.name, bayestopt_laplace, [],...
|
||||||
|
Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_);
|
||||||
|
if options_mom_.vector_output
|
||||||
|
fval = fval'*fval;
|
||||||
|
end
|
||||||
|
fprintf('\nStage %d Iteration %d: value of minimized moment distance objective function: %12.10f.\n',stage_iter,optim_iter,fval)
|
||||||
|
if options_mom_.mom.verbose
|
||||||
|
oo_.mom=display_estimation_results_table(xparam1,NaN(size(xparam1)),M_,options_mom_,estim_params_,bayestopt_laplace,oo_.mom,prior_dist_names,sprintf('%s (STAGE %d ITERATION %d) VERBOSE',options_mom_.mom.mom_method,stage_iter,optim_iter),sprintf('verbose_%s_stage_%d_iter_%d',lower(options_mom_.mom.mom_method),stage_iter,optim_iter));
|
||||||
|
end
|
||||||
|
xparam0=xparam1;
|
||||||
|
end
|
||||||
|
options_mom_.vector_output = false;
|
||||||
|
% Update M_ and DynareResults (in particular to get oo_.mom.model_moments)
|
||||||
|
M_ = set_all_parameters(xparam1,estim_params_,M_);
|
||||||
|
[fval, ~, ~,~,~, oo_] = feval(objective_function, xparam1, Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_);
|
||||||
|
% Compute Standard errors
|
||||||
|
SE = method_of_moments_standard_errors(xparam1, objective_function, Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_, Woptflag);
|
||||||
|
|
||||||
|
% Store results in output structure
|
||||||
|
oo_.mom = display_estimation_results_table(xparam1,SE,M_,options_mom_,estim_params_,bayestopt_laplace,oo_.mom,prior_dist_names,sprintf('%s (STAGE %u)',options_mom_.mom.mom_method,stage_iter),sprintf('%s_stage_%u',lower(options_mom_.mom.mom_method),stage_iter));
|
||||||
|
end
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 8: J test
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
if options_mom_.mom.mom_nbr > length(xparam1)
|
||||||
|
%get optimal weighting matrix for J test, if necessary
|
||||||
|
if ~Woptflag
|
||||||
|
W_opt = method_of_moments_optimal_weighting_matrix(oo_.mom.m_data, oo_.mom.model_moments, options_mom_.mom.bartlett_kernel_lag);
|
||||||
|
oo_j=oo_;
|
||||||
|
oo_j.mom.Sw = chol(W_opt);
|
||||||
|
[fval] = feval(objective_function, xparam1, Bounds, oo_j, estim_params_, matched_moments_, M_, options_mom_);
|
||||||
|
end
|
||||||
|
|
||||||
|
% Compute J statistic
|
||||||
|
if strcmp(options_mom_.mom.mom_method,'SMM')
|
||||||
|
Variance_correction_factor = options_mom_.mom.variance_correction_factor;
|
||||||
|
elseif strcmp(options_mom_.mom.mom_method,'GMM')
|
||||||
|
Variance_correction_factor=1;
|
||||||
|
end
|
||||||
|
oo_.mom.J_test.j_stat = dataset_.nobs*Variance_correction_factor*fval/options_mom_.mom.weighting_matrix_scaling_factor;
|
||||||
|
oo_.mom.J_test.degrees_freedom = length(oo_.mom.model_moments)-length(xparam1);
|
||||||
|
oo_.mom.J_test.p_val = 1-chi2cdf(oo_.mom.J_test.j_stat, oo_.mom.J_test.degrees_freedom);
|
||||||
|
fprintf('\nvalue of J-test statistic: %f\n',oo_.mom.J_test.j_stat)
|
||||||
|
fprintf('p-value of J-test statistic: %f\n',oo_.mom.J_test.p_val)
|
||||||
|
end
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 9: Display estimation results
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
title = ['Data moments and model moments (',options_mom_.mom.mom_method,')'];
|
||||||
|
headers = {'Moment','Data','Model','% dev. target'};
|
||||||
|
labels= matched_moments_(:,4);
|
||||||
|
data_mat=[oo_.mom.data_moments oo_.mom.model_moments 100*abs((oo_.mom.model_moments-oo_.mom.data_moments)./oo_.mom.data_moments)];
|
||||||
|
dyntable(options_mom_, title, headers, labels, data_mat, cellofchararraymaxlength(labels)+2, 10, 7);
|
||||||
|
if options_mom_.TeX
|
||||||
|
lh = cellofchararraymaxlength(labels)+2;
|
||||||
|
labels_TeX = matched_moments_(:,5);
|
||||||
|
dyn_latex_table(M_, options_mom_, title, 'sim_corr_matrix', headers, labels_TeX, data_mat, lh, 10, 7);
|
||||||
|
end
|
||||||
|
|
||||||
|
if options_mom_.mode_check.status
|
||||||
|
method_of_moments_mode_check(objective_function,xparam1,SE,options_mom_,M_,estim_params_,Bounds,bayestopt_laplace,...
|
||||||
|
Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_)
|
||||||
|
end
|
||||||
|
|
||||||
|
fprintf('\n==== Method of Moments Estimation (%s) Completed ====\n\n',options_mom_.mom.mom_method)
|
||||||
|
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Step 9: Clean up
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
%reset warning state
|
||||||
|
if isoctave
|
||||||
|
warning('on')
|
||||||
|
else
|
||||||
|
warning on
|
||||||
|
end
|
|
@ -0,0 +1,71 @@
|
||||||
|
function [dataMoments, m_data] = method_of_moments_data_moments(data, oo_, matched_moments_, options_mom_)
|
||||||
|
% [dataMoments, m_data] = method_of_moments_data_moments(data, oo_, matched_moments_, options_mom_)
|
||||||
|
% This function computes the user-selected empirical moments from data
|
||||||
|
% =========================================================================
|
||||||
|
% INPUTS
|
||||||
|
% o data [T x varobs_nbr] data set
|
||||||
|
% o oo_: [structure] storage for results
|
||||||
|
% o matched_moments_: [structure] information about selected moments to match in estimation
|
||||||
|
% o options_mom_: [structure] information about all settings (specified by the user, preprocessor, and taken from global options_)
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% OUTPUTS
|
||||||
|
% o dataMoments [numMom x 1] mean of selected empirical moments
|
||||||
|
% o m_data [T x numMom] selected empirical moments at each point in time
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function is called by
|
||||||
|
% o method_of_moments.m
|
||||||
|
% o method_of_moments_objective_function.m
|
||||||
|
% =========================================================================
|
||||||
|
% Copyright (C) 2020 Dynare Team
|
||||||
|
%
|
||||||
|
% This file is part of Dynare.
|
||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Author(s):
|
||||||
|
% o Willi Mutschler (willi@mutschler.eu)
|
||||||
|
% o Johannes Pfeifer (jpfeifer@uni-koeln.de)
|
||||||
|
% =========================================================================
|
||||||
|
|
||||||
|
% Initialization
|
||||||
|
T = size(data,1); % Number of observations (T)
|
||||||
|
dataMoments = NaN(options_mom_.mom.mom_nbr,1);
|
||||||
|
m_data = NaN(T,options_mom_.mom.mom_nbr);
|
||||||
|
% Product moment for each time period, i.e. each row t contains y_t1(l1)^p1*y_t2(l2)^p2*...
|
||||||
|
% note that here we already are able to treat leads and lags and any power product moments
|
||||||
|
for jm = 1:options_mom_.mom.mom_nbr
|
||||||
|
vars = oo_.dr.inv_order_var(matched_moments_{jm,1})';
|
||||||
|
leadlags = matched_moments_{jm,2}; % lags are negative numbers and leads are positive numbers
|
||||||
|
powers = matched_moments_{jm,3};
|
||||||
|
for jv = 1:length(vars)
|
||||||
|
jvar = (oo_.dr.obs_var == vars(jv));
|
||||||
|
y = NaN(T,1); %Take care of T_eff instead of T for lags and NaN via mean with 'omitnan' option below
|
||||||
|
y( (1-min(leadlags(jv),0)) : (T-max(leadlags(jv),0)), 1) = data( (1+max(leadlags(jv),0)) : (T+min(leadlags(jv),0)), jvar).^powers(jv);
|
||||||
|
if jv==1
|
||||||
|
m_data_tmp = y;
|
||||||
|
else
|
||||||
|
m_data_tmp = m_data_tmp.*y;
|
||||||
|
end
|
||||||
|
end
|
||||||
|
% We replace NaN (due to leads and lags and missing values) with the corresponding mean
|
||||||
|
dataMoments(jm,1) = mean(m_data_tmp,'omitnan');
|
||||||
|
m_data_tmp(isnan(m_data_tmp)) = dataMoments(jm,1);
|
||||||
|
m_data(:,jm) = m_data_tmp;
|
||||||
|
end
|
||||||
|
|
||||||
|
|
||||||
|
end %function end
|
||||||
|
|
||||||
|
|
||||||
|
|
|
@ -0,0 +1,185 @@
|
||||||
|
function method_of_moments_mode_check(fun,xparam,SE_vec,options_,M_,estim_params_,Bounds,bayestopt_,varargin)
|
||||||
|
% Checks the estimated ML mode or Posterior mode.
|
||||||
|
|
||||||
|
|
||||||
|
% Copyright (C) 2020 Dynare Team
|
||||||
|
%
|
||||||
|
% This file is part of Dynare.
|
||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
|
||||||
|
TeX = options_.TeX;
|
||||||
|
if ~isempty(SE_vec)
|
||||||
|
[ s_min, k ] = min(SE_vec);
|
||||||
|
end
|
||||||
|
|
||||||
|
fval = feval(fun,xparam,varargin{:});
|
||||||
|
|
||||||
|
if ~isempty(SE_vec)
|
||||||
|
skipline()
|
||||||
|
disp('MODE CHECK')
|
||||||
|
skipline()
|
||||||
|
fprintf('Fval obtained by the minimization routine: %f', fval);
|
||||||
|
skipline()
|
||||||
|
if s_min<eps
|
||||||
|
fprintf('Most negative variance %f for parameter %d (%s = %f)', s_min, k , bayestopt_.name{k}, xparam(k))
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
[nbplt,nr,nc,lr,lc,nstar] = pltorg(length(xparam));
|
||||||
|
|
||||||
|
if ~exist([M_.fname filesep 'graphs'],'dir')
|
||||||
|
mkdir(M_.fname,'graphs');
|
||||||
|
end
|
||||||
|
if TeX && any(strcmp('eps',cellstr(options_.graph_format)))
|
||||||
|
fidTeX = fopen([M_.fname, '/graphs/', M_.fname '_MoMCheckPlots.tex'],'w');
|
||||||
|
fprintf(fidTeX,'%% TeX eps-loader file generated by method_of_moments_mode_check.m (Dynare).\n');
|
||||||
|
fprintf(fidTeX,['%% ' datestr(now,0) '\n']);
|
||||||
|
fprintf(fidTeX,' \n');
|
||||||
|
end
|
||||||
|
|
||||||
|
ll = options_.mode_check.neighbourhood_size;
|
||||||
|
if isinf(ll)
|
||||||
|
options_.mode_check.symmetric_plots = false;
|
||||||
|
end
|
||||||
|
|
||||||
|
mcheck = struct('cross',struct(),'emode',struct());
|
||||||
|
|
||||||
|
for plt = 1:nbplt
|
||||||
|
if TeX
|
||||||
|
NAMES = [];
|
||||||
|
TeXNAMES = [];
|
||||||
|
end
|
||||||
|
hh = dyn_figure(options_.nodisplay,'Name','Mode check plots');
|
||||||
|
for k=1:min(nstar,length(xparam)-(plt-1)*nstar)
|
||||||
|
subplot(nr,nc,k)
|
||||||
|
kk = (plt-1)*nstar+k;
|
||||||
|
[name,texname] = get_the_name(kk,TeX,M_,estim_params_,options_);
|
||||||
|
xx = xparam;
|
||||||
|
if xparam(kk)~=0 || ~isinf(Bounds.lb(kk)) || ~isinf(Bounds.lb(kk))
|
||||||
|
l1 = max(Bounds.lb(kk),(1-sign(xparam(kk))*ll)*xparam(kk)); m1 = 0; %lower bound
|
||||||
|
l2 = min(Bounds.ub(kk),(1+sign(xparam(kk))*ll)*xparam(kk)); %upper bound
|
||||||
|
else
|
||||||
|
%size info for 0 parameter is missing, use prior standard
|
||||||
|
%deviation
|
||||||
|
upper_bound=Bounds.lb(kk);
|
||||||
|
if isinf(upper_bound)
|
||||||
|
upper_bound=-1e-6*options_.huge_number;
|
||||||
|
end
|
||||||
|
lower_bound=Bounds.ub(kk);
|
||||||
|
if isinf(lower_bound)
|
||||||
|
lower_bound=-1e-6*options_.huge_number;
|
||||||
|
end
|
||||||
|
l1 = max(lower_bound,-bayestopt_.p2(kk)); m1 = 0; %lower bound
|
||||||
|
l2 = min(upper_bound,bayestopt_.p2(kk)); %upper bound
|
||||||
|
end
|
||||||
|
binding_lower_bound=0;
|
||||||
|
binding_upper_bound=0;
|
||||||
|
if isequal(xparam(kk),Bounds.lb(kk))
|
||||||
|
binding_lower_bound=1;
|
||||||
|
bound_value=Bounds.lb(kk);
|
||||||
|
elseif isequal(xparam(kk),Bounds.ub(kk))
|
||||||
|
binding_upper_bound=1;
|
||||||
|
bound_value=Bounds.ub(kk);
|
||||||
|
end
|
||||||
|
if options_.mode_check.symmetric_plots && ~binding_lower_bound && ~binding_upper_bound
|
||||||
|
if l2<(1+ll)*xparam(kk) %test whether upper bound is too small due to prior binding
|
||||||
|
l1 = xparam(kk) - (l2-xparam(kk)); %adjust lower bound to become closer
|
||||||
|
m1 = 1;
|
||||||
|
end
|
||||||
|
if ~m1 && (l1>(1-ll)*xparam(kk)) && (xparam(kk)+(xparam(kk)-l1)<Bounds.ub(kk)) % if lower bound was truncated and using difference from lower bound does not violate upper bound
|
||||||
|
l2 = xparam(kk) + (xparam(kk)-l1); %set upper bound to same distance as lower bound
|
||||||
|
end
|
||||||
|
end
|
||||||
|
z1 = l1:((xparam(kk)-l1)/(options_.mode_check.number_of_points/2)):xparam(kk);
|
||||||
|
z2 = xparam(kk):((l2-xparam(kk))/(options_.mode_check.number_of_points/2)):l2;
|
||||||
|
z = union(z1,z2);
|
||||||
|
if options_.mom.penalized_estimator
|
||||||
|
y = zeros(length(z),2);
|
||||||
|
dy=(xx-bayestopt_.p1)'/diag(bayestopt_.p2.^2)*(xx-bayestopt_.p1);
|
||||||
|
else
|
||||||
|
y = zeros(length(z),1);
|
||||||
|
end
|
||||||
|
for i=1:length(z)
|
||||||
|
xx(kk) = z(i);
|
||||||
|
[fval, info, exit_flag] = feval(fun,xx,varargin{:});
|
||||||
|
if exit_flag
|
||||||
|
y(i,1) = fval;
|
||||||
|
else
|
||||||
|
y(i,1) = NaN;
|
||||||
|
if options_.debug
|
||||||
|
fprintf('mode_check:: could not solve model for parameter %s at value %4.3f, error code: %u\n',name,z(i),info(1))
|
||||||
|
end
|
||||||
|
end
|
||||||
|
if options_.mom.penalized_estimator
|
||||||
|
prior=(xx-bayestopt_.p1)'/diag(bayestopt_.p2.^2)*(xx-bayestopt_.p1);
|
||||||
|
y(i,2) = (y(i,1)+prior-dy);
|
||||||
|
end
|
||||||
|
end
|
||||||
|
mcheck.cross = setfield(mcheck.cross, name, [transpose(z), -y]);
|
||||||
|
mcheck.emode = setfield(mcheck.emode, name, xparam(kk));
|
||||||
|
fighandle=plot(z,-y);
|
||||||
|
hold on
|
||||||
|
yl=get(gca,'ylim');
|
||||||
|
plot( [xparam(kk) xparam(kk)], yl, 'c', 'LineWidth', 1)
|
||||||
|
NaN_index = find(isnan(y(:,1)));
|
||||||
|
zNaN = z(NaN_index);
|
||||||
|
yNaN = yl(1)*ones(size(NaN_index));
|
||||||
|
plot(zNaN,yNaN,'o','MarkerEdgeColor','r','MarkerFaceColor','r','MarkerSize',6);
|
||||||
|
if TeX
|
||||||
|
title(texname,'interpreter','latex')
|
||||||
|
else
|
||||||
|
title(name,'interpreter','none')
|
||||||
|
end
|
||||||
|
|
||||||
|
axis tight
|
||||||
|
if binding_lower_bound || binding_upper_bound
|
||||||
|
xl=get(gca,'xlim');
|
||||||
|
plot( [bound_value bound_value], yl, 'r--', 'LineWidth', 1)
|
||||||
|
xlim([xl(1)-0.5*binding_lower_bound*(xl(2)-xl(1)) xl(2)+0.5*binding_upper_bound*(xl(2)-xl(1))])
|
||||||
|
end
|
||||||
|
hold off
|
||||||
|
drawnow
|
||||||
|
end
|
||||||
|
if options_.mom.penalized_estimator
|
||||||
|
if isoctave
|
||||||
|
axes('outerposition',[0.3 0.93 0.42 0.07],'box','on'),
|
||||||
|
else
|
||||||
|
axes('position',[0.3 0.01 0.42 0.05],'box','on'),
|
||||||
|
end
|
||||||
|
line_color=get(fighandle,'color');
|
||||||
|
plot([0.48 0.68],[0.5 0.5],'color',line_color{2})
|
||||||
|
hold on, plot([0.04 0.24],[0.5 0.5],'color',line_color{1})
|
||||||
|
set(gca,'xlim',[0 1],'ylim',[0 1],'xtick',[],'ytick',[])
|
||||||
|
text(0.25,0.5,'log-post')
|
||||||
|
text(0.69,0.5,'log-lik kernel')
|
||||||
|
end
|
||||||
|
dyn_saveas(hh,[M_.fname, '/graphs/', M_.fname '_MoMCheckPlots' int2str(plt) ],options_.nodisplay,options_.graph_format);
|
||||||
|
if TeX && any(strcmp('eps',cellstr(options_.graph_format)))
|
||||||
|
% TeX eps loader file
|
||||||
|
fprintf(fidTeX,'\\begin{figure}[H]\n');
|
||||||
|
fprintf(fidTeX,'\\centering \n');
|
||||||
|
fprintf(fidTeX,'\\includegraphics[width=%2.2f\\textwidth]{%_MoMCheckPlots%s}\n',options_.figures.textwidth*min(k/nc,1),[M_.fname, '/graphs/',M_.fname],int2str(plt));
|
||||||
|
fprintf(fidTeX,'\\caption{Method of Moments check plots.}');
|
||||||
|
fprintf(fidTeX,'\\label{Fig:MoMCheckPlots:%s}\n',int2str(plt));
|
||||||
|
fprintf(fidTeX,'\\end{figure}\n');
|
||||||
|
fprintf(fidTeX,' \n');
|
||||||
|
end
|
||||||
|
end
|
||||||
|
if TeX && any(strcmp('eps',cellstr(options_.graph_format)))
|
||||||
|
fclose(fidTeX);
|
||||||
|
end
|
||||||
|
|
||||||
|
OutputDirectoryName = CheckPath('modecheck',M_.dname);
|
||||||
|
save([OutputDirectoryName '/MoM_check_plot_data.mat'],'mcheck');
|
|
@ -0,0 +1,213 @@
|
||||||
|
function [fval, info, exit_flag, junk1, junk2, oo_, M_, options_mom_] = method_of_moments_objective_function(xparam1, Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_)
|
||||||
|
% [fval, info, exit_flag, junk1, junk2, oo_, M_, options_mom_] = method_of_moments_objective_function(xparam1, Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_)
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function evaluates the objective function for GMM/SMM estimation
|
||||||
|
% =========================================================================
|
||||||
|
% INPUTS
|
||||||
|
% o xparam1: current value of estimated parameters as returned by set_prior()
|
||||||
|
% o Bounds: structure containing parameter bounds
|
||||||
|
% o oo_: structure for results
|
||||||
|
% o estim_params_: structure describing the estimated_parameters
|
||||||
|
% o matched_moments_: structure containing information about selected moments to match in estimation
|
||||||
|
% o M_ structure describing the model
|
||||||
|
% o options_mom_: structure information about all settings (specified by the user, preprocessor, and taken from global options_)
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% OUTPUTS
|
||||||
|
% o fval: value of the quadratic form of the moment difference (except for lsqnonlin, where this is done implicitly)
|
||||||
|
% o info: vector storing error code and penalty
|
||||||
|
% o exit_flag: 0 if error, 1 if no error
|
||||||
|
% o junk1: empty matrix required for optimizer interface
|
||||||
|
% o junk2: empty matrix required for optimizer interface
|
||||||
|
% o oo_: structure containing the results with the following updated fields:
|
||||||
|
% - mom.model_moments [numMom x 1] vector with model moments
|
||||||
|
% - mom.Q value of the quadratic form of the moment difference
|
||||||
|
% o M_: Matlab's structure describing the model
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function is called by
|
||||||
|
% o method_of_moments.m
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function calls
|
||||||
|
% o check_bounds_and_definiteness_estimation
|
||||||
|
% o pruned_state_space_system
|
||||||
|
% o resol
|
||||||
|
% o set_all_parameters
|
||||||
|
% =========================================================================
|
||||||
|
% Copyright (C) 2020 Dynare Team
|
||||||
|
%
|
||||||
|
% This file is part of Dynare.
|
||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Author(s):
|
||||||
|
% o Willi Mutschler (willi@mutschler.eu)
|
||||||
|
% o Johannes Pfeifer (jpfeifer@uni-koeln.de)
|
||||||
|
% =========================================================================
|
||||||
|
|
||||||
|
%------------------------------------------------------------------------------
|
||||||
|
% 0. Initialization of the returned variables and others...
|
||||||
|
%------------------------------------------------------------------------------
|
||||||
|
|
||||||
|
junk1 = [];
|
||||||
|
junk2 = [];
|
||||||
|
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% 1. Get the structural parameters & define penalties
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
|
||||||
|
[fval,info,exit_flag,M_]=check_bounds_and_definiteness_estimation(xparam1, M_, options_mom_, estim_params_, Bounds);
|
||||||
|
if info(1)
|
||||||
|
if options_mom_.vector_output == 1 % lsqnonlin requires vector output
|
||||||
|
fval = ones(size(oo_.mom.data_moments,1),1)*options_mom_.huge_number;
|
||||||
|
end
|
||||||
|
return
|
||||||
|
end
|
||||||
|
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% 2. call resol to compute steady state and model solution
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
|
||||||
|
% Compute linear approximation around the deterministic steady state
|
||||||
|
[dr, info, M_, options_mom_, oo_] = resol(0, M_, options_mom_, oo_);
|
||||||
|
|
||||||
|
% Return, with endogenous penalty when possible, if resol issues an error code
|
||||||
|
if info(1)
|
||||||
|
if info(1) == 3 || info(1) == 4 || info(1) == 5 || info(1)==6 ||info(1) == 19 ||...
|
||||||
|
info(1) == 20 || info(1) == 21 || info(1) == 23 || info(1) == 26 || ...
|
||||||
|
info(1) == 81 || info(1) == 84 || info(1) == 85 || info(1) == 86
|
||||||
|
%meaningful second entry of output that can be used
|
||||||
|
fval = Inf;
|
||||||
|
info(4) = info(2);
|
||||||
|
exit_flag = 0;
|
||||||
|
if options_mom_.vector_output == 1 % lsqnonlin requires vector output
|
||||||
|
fval = ones(size(oo_.mom.data_moments,1),1)*options_mom_.huge_number;
|
||||||
|
end
|
||||||
|
return
|
||||||
|
else
|
||||||
|
fval = Inf;
|
||||||
|
info(4) = 0.1;
|
||||||
|
exit_flag = 0;
|
||||||
|
if options_mom_.vector_output == 1 % lsqnonlin requires vector output
|
||||||
|
fval = ones(size(oo_.mom.data_moments,1),1)*options_mom_.huge_number;
|
||||||
|
end
|
||||||
|
return
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
if strcmp(options_mom_.mom.mom_method,'GMM')
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% 3. Set up pruned state-space system and compute model moments
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
pruned_state_space = pruned_state_space_system(M_, options_mom_, dr, oo_.dr.obs_var, options_mom_.ar, 0, 0);
|
||||||
|
|
||||||
|
oo_.mom.model_moments = NaN(options_mom_.mom.mom_nbr,1);
|
||||||
|
offset = 0;
|
||||||
|
% First moments
|
||||||
|
if ~options_mom_.prefilter && isfield(options_mom_.mom.index,'E_y') && nnz(options_mom_.mom.index.E_y) > 0
|
||||||
|
E_y = pruned_state_space.E_y;
|
||||||
|
E_y_nbr = nnz(options_mom_.mom.index.E_y);
|
||||||
|
oo_.mom.model_moments(offset+1:E_y_nbr,1) = E_y(options_mom_.mom.index.E_y);
|
||||||
|
offset = offset + E_y_nbr;
|
||||||
|
end
|
||||||
|
% Second moments
|
||||||
|
% Contemporaneous covariance
|
||||||
|
if isfield(options_mom_.mom.index,'E_yy') && nnz(options_mom_.mom.index.E_yy) > 0
|
||||||
|
if options_mom_.prefilter
|
||||||
|
E_yy = pruned_state_space.Var_y;
|
||||||
|
else
|
||||||
|
E_yy = pruned_state_space.Var_y + pruned_state_space.E_y*pruned_state_space.E_y';
|
||||||
|
end
|
||||||
|
E_yy_nbr = nnz(tril(options_mom_.mom.index.E_yy));
|
||||||
|
oo_.mom.model_moments(offset+(1:E_yy_nbr),1) = E_yy(tril(options_mom_.mom.index.E_yy));
|
||||||
|
offset = offset + E_yy_nbr;
|
||||||
|
end
|
||||||
|
% Lead/lags covariance
|
||||||
|
if isfield(options_mom_.mom.index,'E_yyt') && nnz(options_mom_.mom.index.E_yyt) > 0
|
||||||
|
if options_mom_.prefilter
|
||||||
|
E_yyt = pruned_state_space.Var_yi;
|
||||||
|
else
|
||||||
|
E_yyt = pruned_state_space.Var_yi + repmat(pruned_state_space.E_y*pruned_state_space.E_y',[1 1 size(pruned_state_space.Var_yi,3)]);
|
||||||
|
end
|
||||||
|
E_yyt_nbr = nnz(options_mom_.mom.index.E_yyt);
|
||||||
|
oo_.mom.model_moments(offset+(1:E_yyt_nbr),1) = E_yyt(options_mom_.mom.index.E_yyt);
|
||||||
|
end
|
||||||
|
|
||||||
|
elseif strcmp(options_mom_.mom.mom_method,'SMM')
|
||||||
|
%------------------------------------------------------------------------------
|
||||||
|
% 3. Compute Moments of the model solution for normal innovations
|
||||||
|
%------------------------------------------------------------------------------
|
||||||
|
|
||||||
|
% create shock series with correct covariance matrix from iid standard normal shocks
|
||||||
|
i_exo_var = setdiff(1:M_.exo_nbr, find(diag(M_.Sigma_e) == 0 )); %find singular entries in covariance
|
||||||
|
chol_S = chol(M_.Sigma_e(i_exo_var,i_exo_var));
|
||||||
|
scaled_shock_series = zeros(size(options_mom_.mom.shock_series)); %initialize
|
||||||
|
scaled_shock_series(:,i_exo_var) = options_mom_.mom.shock_series(:,i_exo_var)*chol_S; %set non-zero entries
|
||||||
|
|
||||||
|
% simulate series
|
||||||
|
y_sim = simult_(M_, options_mom_, dr.ys, dr, scaled_shock_series, options_mom_.order);
|
||||||
|
% provide meaningful penalty if data is nan or inf
|
||||||
|
if any(any(isnan(y_sim))) || any(any(isinf(y_sim)))
|
||||||
|
if options_mom_.mode_compute==13
|
||||||
|
fval = Inf(size(oo_.mom.Sw,1),1);
|
||||||
|
else
|
||||||
|
fval = Inf;
|
||||||
|
end
|
||||||
|
info(1)=180;
|
||||||
|
info(4) = 0.1;
|
||||||
|
exit_flag = 0;
|
||||||
|
if options_mom_.mode_compute == 13
|
||||||
|
fval = ones(size(oo_.mom.dataMoments,1),1)*options_mom_.huge_number;
|
||||||
|
end
|
||||||
|
return
|
||||||
|
end
|
||||||
|
|
||||||
|
% Remove burn-in and focus on observables (note that y_sim is in declaration order)
|
||||||
|
y_sim = y_sim(oo_.dr.order_var(oo_.dr.obs_var) , end-options_mom_.mom.long+1:end)';
|
||||||
|
|
||||||
|
if ~all(diag(M_.H)==0)
|
||||||
|
i_ME = setdiff([1:size(M_.H,1)],find(diag(M_.H) == 0)); % find ME with 0 variance
|
||||||
|
chol_S = chol(M_.H(i_ME,i_ME)); %decompose rest
|
||||||
|
shock_mat=zeros(size(options_mom_.mom.ME_shock_series)); %initialize
|
||||||
|
shock_mat(:,i_ME)=options_mom_.mom.ME_shock_series(:,i_exo_var)*chol_S;
|
||||||
|
y_sim = y_sim+shock_mat;
|
||||||
|
end
|
||||||
|
|
||||||
|
% Remove mean if centered moments
|
||||||
|
if options_mom_.prefilter
|
||||||
|
y_sim = bsxfun(@minus, y_sim, mean(y_sim,1));
|
||||||
|
end
|
||||||
|
oo_.mom.model_moments = method_of_moments_data_moments(y_sim, oo_, matched_moments_, options_mom_);
|
||||||
|
|
||||||
|
end
|
||||||
|
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% 4. Compute quadratic target function
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
moments_difference = oo_.mom.data_moments - oo_.mom.model_moments;
|
||||||
|
residuals = sqrt(options_mom_.mom.weighting_matrix_scaling_factor)*oo_.mom.Sw*moments_difference;
|
||||||
|
oo_.mom.Q = residuals'*residuals;
|
||||||
|
if options_mom_.vector_output == 1 % lsqnonlin requires vector output
|
||||||
|
fval = residuals;
|
||||||
|
if options_mom_.mom.penalized_estimator
|
||||||
|
fval=[fval;(xparam1-oo_.prior.mean)./sqrt(diag(oo_.prior.variance))];
|
||||||
|
end
|
||||||
|
else
|
||||||
|
fval = oo_.mom.Q;
|
||||||
|
if options_mom_.mom.penalized_estimator
|
||||||
|
fval=fval+(xparam1-oo_.prior.mean)'/oo_.prior.variance*(xparam1-oo_.prior.mean);
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
|
||||||
|
end%main function end
|
||||||
|
|
|
@ -0,0 +1,79 @@
|
||||||
|
function W_opt = method_of_moments_optimal_weighting_matrix(m_data, moments, q_lag)
|
||||||
|
% W_opt = method_of_moments_optimal_weighting_matrix(m_data, moments, q_lag)
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function computes the optimal weigthing matrix by a Bartlett kernel with maximum lag q_lag
|
||||||
|
% Adapted from replication codes of
|
||||||
|
% o Andreasen, Fernández-Villaverde, Rubio-Ramírez (2018): "The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications", Review of Economic Studies, 85(1):1-49.
|
||||||
|
% =========================================================================
|
||||||
|
% INPUTS
|
||||||
|
% o m_data [T x numMom] selected data moments at each point in time
|
||||||
|
% o moments [numMom x 1] selected estimated moments (either data_moments or estimated model_moments)
|
||||||
|
% o q_lag [integer] Bartlett kernel maximum lag order
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% OUTPUTS
|
||||||
|
% o W_opt [numMom x numMom] optimal weighting matrix
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function is called by
|
||||||
|
% o method_of_moments.m
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function calls:
|
||||||
|
% o CorrMatrix (embedded)
|
||||||
|
% =========================================================================
|
||||||
|
% Copyright (C) 2020 Dynare Team
|
||||||
|
%
|
||||||
|
% This file is part of Dynare.
|
||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Author(s):
|
||||||
|
% o Willi Mutschler (willi@mutschler.eu)
|
||||||
|
% o Johannes Pfeifer (jpfeifer@uni-koeln.de)
|
||||||
|
% =========================================================================
|
||||||
|
|
||||||
|
% Initialize
|
||||||
|
[T,num_Mom] = size(m_data); %note that in m_data NaN values (due to leads or lags in matched_moments and missing data) were replaced by the mean
|
||||||
|
|
||||||
|
% center around moments (could be either data_moments or model_moments)
|
||||||
|
h_Func = m_data - repmat(moments',T,1);
|
||||||
|
|
||||||
|
% The required correlation matrices
|
||||||
|
GAMA_array = zeros(num_Mom,num_Mom,q_lag);
|
||||||
|
GAMA0 = Corr_Matrix(h_Func,T,num_Mom,0);
|
||||||
|
if q_lag > 0
|
||||||
|
for ii=1:q_lag
|
||||||
|
GAMA_array(:,:,ii) = Corr_Matrix(h_Func,T,num_Mom,ii);
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
% The estimate of S
|
||||||
|
S = GAMA0;
|
||||||
|
if q_lag > 0
|
||||||
|
for ii=1:q_lag
|
||||||
|
S = S + (1-ii/(q_lag+1))*(GAMA_array(:,:,ii) + GAMA_array(:,:,ii)');
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
% The estimate of W
|
||||||
|
W_opt = S\eye(size(S,1));
|
||||||
|
|
||||||
|
end
|
||||||
|
|
||||||
|
% The correlation matrix
|
||||||
|
function GAMA_corr = Corr_Matrix(h_Func,T,num_Mom,v)
|
||||||
|
GAMA_corr = zeros(num_Mom,num_Mom);
|
||||||
|
for t = 1+v:T
|
||||||
|
GAMA_corr = GAMA_corr + h_Func(t-v,:)'*h_Func(t,:);
|
||||||
|
end
|
||||||
|
GAMA_corr = GAMA_corr/T;
|
||||||
|
end
|
|
@ -0,0 +1,104 @@
|
||||||
|
function [SE_values, Asympt_Var] = method_of_moments_standard_errors(xparam, objective_function, Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_, Wopt_flag)
|
||||||
|
% [SE_values, Asympt_Var] = method_of_moments_standard_errors(xparam, objective_function, Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_, Wopt_flag)
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function computes standard errors to the method of moments estimates
|
||||||
|
% Adapted from replication codes of
|
||||||
|
% o Andreasen, Fernández-Villaverde, Rubio-Ramírez (2018): "The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications", Review of Economic Studies, 85(1):1-49.
|
||||||
|
% =========================================================================
|
||||||
|
% INPUTS
|
||||||
|
% o xparam: value of estimated parameters as returned by set_prior()
|
||||||
|
% o objective_function string of objective function, either method_of_moments_GMM.m or method_of_moments_SMM.m
|
||||||
|
% o Bounds: structure containing parameter bounds
|
||||||
|
% o oo_: structure for results
|
||||||
|
% o estim_params_: structure describing the estimated_parameters
|
||||||
|
% o matched_moments_: structure containing information about selected moments to match in estimation
|
||||||
|
% o M_ structure describing the model
|
||||||
|
% o options_mom_: structure information about all settings (specified by the user, preprocessor, and taken from global options_)
|
||||||
|
% o Wopt_flag: indicator whether the optimal weighting is actually used
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% OUTPUTS
|
||||||
|
% o SE_values [nparam x 1] vector of standard errors
|
||||||
|
% o Asympt_Var [nparam x nparam] asymptotic covariance matrix
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function is called by
|
||||||
|
% o method_of_moments.m
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% This function calls:
|
||||||
|
% o get_the_name
|
||||||
|
% o get_error_message
|
||||||
|
% o GMM_objective_function
|
||||||
|
% o SMM_objective_function.m
|
||||||
|
% o method_of_moments_optimal_weighting_matrix
|
||||||
|
% =========================================================================
|
||||||
|
% Copyright (C) 2020 Dynare Team
|
||||||
|
%
|
||||||
|
% This file is part of Dynare.
|
||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
% -------------------------------------------------------------------------
|
||||||
|
% Author(s):
|
||||||
|
% o Willi Mutschler (willi@mutschler.eu)
|
||||||
|
% o Johannes Pfeifer (jpfeifer@uni-koeln.de)
|
||||||
|
% =========================================================================
|
||||||
|
|
||||||
|
% Some dimensions
|
||||||
|
num_mom = size(oo_.mom.model_moments,1);
|
||||||
|
dim_params = size(xparam,1);
|
||||||
|
D = zeros(num_mom,dim_params);
|
||||||
|
eps_value = options_mom_.mom.se_tolx;
|
||||||
|
|
||||||
|
for i=1:dim_params
|
||||||
|
%Positive step
|
||||||
|
xparam_eps_p = xparam;
|
||||||
|
xparam_eps_p(i,1) = xparam_eps_p(i) + eps_value;
|
||||||
|
[~, info_p, ~, ~,~, oo__p] = feval(objective_function, xparam_eps_p, Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_);
|
||||||
|
|
||||||
|
% Negative step
|
||||||
|
xparam_eps_m = xparam;
|
||||||
|
xparam_eps_m(i,1) = xparam_eps_m(i) - eps_value;
|
||||||
|
[~, info_m, ~, ~,~, oo__m] = feval(objective_function, xparam_eps_m, Bounds, oo_, estim_params_, matched_moments_, M_, options_mom_);
|
||||||
|
|
||||||
|
% The Jacobian:
|
||||||
|
if nnz(info_p)==0 && nnz(info_m)==0
|
||||||
|
D(:,i) = (oo__p.mom.model_moments - oo__m.mom.model_moments)/(2*eps_value);
|
||||||
|
else
|
||||||
|
problpar = get_the_name(i,options_mom_.TeX, M_, estim_params_, options_mom_);
|
||||||
|
message_p = get_error_message(info_p, options_mom_);
|
||||||
|
message_m = get_error_message(info_m, options_mom_);
|
||||||
|
|
||||||
|
warning('method_of_moments:info','Cannot compute the Jacobian for parameter %s - no standard errors available\n %s %s\nCheck your bounds and/or priors, or use a different optimizer.\n',problpar, message_p, message_m)
|
||||||
|
Asympt_Var = NaN(length(xparam),length(xparam));
|
||||||
|
SE_values = NaN(length(xparam),1);
|
||||||
|
return
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
T = options_mom_.nobs; %Number of observations
|
||||||
|
if isfield(options_mom_,'variance_correction_factor')
|
||||||
|
T = T*options_mom_.variance_correction_factor;
|
||||||
|
end
|
||||||
|
|
||||||
|
WW = oo_.mom.Sw'*oo_.mom.Sw;
|
||||||
|
if Wopt_flag
|
||||||
|
% We have the optimal weighting matrix
|
||||||
|
Asympt_Var = 1/T*((D'*WW*D)\eye(dim_params));
|
||||||
|
else
|
||||||
|
% We do not have the optimal weighting matrix yet
|
||||||
|
WWopt = method_of_moments_optimal_weighting_matrix(oo_.mom.m_data, oo_.mom.model_moments, options_mom_.mom.bartlett_kernel_lag);
|
||||||
|
S = WWopt\eye(size(WWopt,1));
|
||||||
|
AA = (D'*WW*D)\eye(dim_params);
|
||||||
|
Asympt_Var = 1/T*AA*D'*WW*S*WW*D*AA;
|
||||||
|
end
|
||||||
|
|
||||||
|
SE_values = sqrt(diag(Asympt_Var));
|
|
@ -428,7 +428,7 @@ switch minimizer_algorithm
|
||||||
case 12
|
case 12
|
||||||
if isoctave
|
if isoctave
|
||||||
error('Option mode_compute=12 is not available under Octave')
|
error('Option mode_compute=12 is not available under Octave')
|
||||||
elseif ~user_has_matlab_license('global_optimization_toolbox')
|
elseif ~user_has_matlab_license('GADS_Toolbox')
|
||||||
error('Option mode_compute=12 requires the Global Optimization Toolbox')
|
error('Option mode_compute=12 requires the Global Optimization Toolbox')
|
||||||
end
|
end
|
||||||
[LB, UB] = set_bounds_to_finite_values(bounds, options_.huge_number);
|
[LB, UB] = set_bounds_to_finite_values(bounds, options_.huge_number);
|
||||||
|
@ -523,6 +523,21 @@ switch minimizer_algorithm
|
||||||
end
|
end
|
||||||
func = @(x)objective_function(x,varargin{:});
|
func = @(x)objective_function(x,varargin{:});
|
||||||
[opt_par_values,fval,exitflag,output] = simulannealbnd(func,start_par_value,bounds(:,1),bounds(:,2),optim_options);
|
[opt_par_values,fval,exitflag,output] = simulannealbnd(func,start_par_value,bounds(:,1),bounds(:,2),optim_options);
|
||||||
|
case 13
|
||||||
|
% Matlab's lsqnonlin (Optimization toolbox needed).
|
||||||
|
if isoctave && ~user_has_octave_forge_package('optim')
|
||||||
|
error('Option mode_compute=13 requires the optim package')
|
||||||
|
elseif ~isoctave && ~user_has_matlab_license('optimization_toolbox')
|
||||||
|
error('Option mode_compute=13 requires the Optimization Toolbox')
|
||||||
|
end
|
||||||
|
optim_options = optimset('display','iter','MaxFunEvals',5000,'MaxIter',5000,'TolFun',1e-6,'TolX',1e-6);
|
||||||
|
if ~isempty(options_.optim_opt)
|
||||||
|
eval(['optim_options = optimset(optim_options,' options_.optim_opt ');']);
|
||||||
|
end
|
||||||
|
if options_.silent_optimizer
|
||||||
|
optim_options = optimset(optim_options,'display','off');
|
||||||
|
end
|
||||||
|
[opt_par_values,Resnorm,fval,exitflag,OUTPUT,LAMBDA,JACOB] = lsqnonlin(objective_function,start_par_value,bounds(:,1),bounds(:,2),optim_options,varargin{:});
|
||||||
otherwise
|
otherwise
|
||||||
if ischar(minimizer_algorithm)
|
if ischar(minimizer_algorithm)
|
||||||
if exist(minimizer_algorithm)
|
if exist(minimizer_algorithm)
|
||||||
|
|
|
@ -1,19 +1,21 @@
|
||||||
function plot_priors(bayestopt_,M_,estim_params_,options_)
|
function plot_priors(bayestopt_,M_,estim_params_,options_,optional_title)
|
||||||
% function plot_priors
|
% function plot_priors
|
||||||
% plots prior density
|
% plots prior density
|
||||||
%
|
%
|
||||||
% INPUTS
|
% INPUTS
|
||||||
% o bayestopt_ [structure]
|
% o bayestopt_ [structure]
|
||||||
% o M_ [structure]
|
% o M_ [structure]
|
||||||
|
% o estim_params_ [structure]
|
||||||
% o options_ [structure]
|
% o options_ [structure]
|
||||||
%
|
% o optional_title [string]
|
||||||
|
|
||||||
% OUTPUTS
|
% OUTPUTS
|
||||||
% None
|
% None
|
||||||
%
|
%
|
||||||
% SPECIAL REQUIREMENTS
|
% SPECIAL REQUIREMENTS
|
||||||
% None
|
% None
|
||||||
|
|
||||||
% Copyright (C) 2004-2017 Dynare Team
|
% Copyright (C) 2004-2020 Dynare Team
|
||||||
%
|
%
|
||||||
% This file is part of Dynare.
|
% This file is part of Dynare.
|
||||||
%
|
%
|
||||||
|
@ -31,8 +33,11 @@ function plot_priors(bayestopt_,M_,estim_params_,options_)
|
||||||
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
|
||||||
TeX = options_.TeX;
|
TeX = options_.TeX;
|
||||||
|
if nargin<5
|
||||||
figurename = 'Priors';
|
figurename = 'Priors';
|
||||||
|
else
|
||||||
|
figurename = optional_title;
|
||||||
|
end
|
||||||
npar = length(bayestopt_.p1);
|
npar = length(bayestopt_.p1);
|
||||||
[nbplt,nr,nc,lr,lc,nstar] = pltorg(npar);
|
[nbplt,nr,nc,lr,lc,nstar] = pltorg(npar);
|
||||||
|
|
||||||
|
|
|
@ -50,6 +50,8 @@ wsOct
|
||||||
!/ep/mean_preserving_spread.m
|
!/ep/mean_preserving_spread.m
|
||||||
!/ep/rbcii_steady_state.m
|
!/ep/rbcii_steady_state.m
|
||||||
!/estimation/fsdat_simul.m
|
!/estimation/fsdat_simul.m
|
||||||
|
!/estimation/method_of_moments/RBC_MoM_steady_helper.m
|
||||||
|
!/estimation/method_of_moments/RBC_Andreasen_Data_2.mat
|
||||||
!/expectations/expectation_ss_old_steadystate.m
|
!/expectations/expectation_ss_old_steadystate.m
|
||||||
!/external_function/extFunDeriv.m
|
!/external_function/extFunDeriv.m
|
||||||
!/external_function/extFunNoDerivs.m
|
!/external_function/extFunNoDerivs.m
|
||||||
|
|
|
@ -47,6 +47,10 @@ MODFILES = \
|
||||||
estimation/MH_recover/fs2000_recover_3.mod \
|
estimation/MH_recover/fs2000_recover_3.mod \
|
||||||
estimation/t_proposal/fs2000_student.mod \
|
estimation/t_proposal/fs2000_student.mod \
|
||||||
estimation/tune_mh_jscale/fs2000.mod \
|
estimation/tune_mh_jscale/fs2000.mod \
|
||||||
|
estimation/method_of_moments/AnScho_MoM.mod \
|
||||||
|
estimation/method_of_moments/RBC_MoM_Andreasen.mod \
|
||||||
|
estimation/method_of_moments/RBC_MoM_SMM_ME.mod \
|
||||||
|
estimation/method_of_moments/RBC_MoM_prefilter.mod \
|
||||||
moments/example1_var_decomp.mod \
|
moments/example1_var_decomp.mod \
|
||||||
moments/example1_bp_test.mod \
|
moments/example1_bp_test.mod \
|
||||||
moments/test_AR1_spectral_density.mod \
|
moments/test_AR1_spectral_density.mod \
|
||||||
|
@ -959,6 +963,8 @@ EXTRA_DIST = \
|
||||||
lmmcp/sw-common-header.inc \
|
lmmcp/sw-common-header.inc \
|
||||||
lmmcp/sw-common-footer.inc \
|
lmmcp/sw-common-footer.inc \
|
||||||
estimation/tune_mh_jscale/fs2000.inc \
|
estimation/tune_mh_jscale/fs2000.inc \
|
||||||
|
estimation/method_of_moments/RBC_MoM_common.inc \
|
||||||
|
estimation/method_of_moments/RBC_MoM_steady_helper.m \
|
||||||
histval_initval_file_unit_tests.m \
|
histval_initval_file_unit_tests.m \
|
||||||
histval_initval_file/my_assert.m \
|
histval_initval_file/my_assert.m \
|
||||||
histval_initval_file/ramst_data.xls \
|
histval_initval_file/ramst_data.xls \
|
||||||
|
|
|
@ -0,0 +1,253 @@
|
||||||
|
% DSGE model used in replication files of
|
||||||
|
% An, Sungbae and Schorfheide, Frank, (2007), Bayesian Analysis of DSGE Models, Econometric Reviews, 26, issue 2-4, p. 113-172.
|
||||||
|
% Adapted by Willi Mutschler (@wmutschl, willi@mutschler.eu)
|
||||||
|
% =========================================================================
|
||||||
|
% Copyright (C) 2020 Dynare Team
|
||||||
|
%
|
||||||
|
% This file is part of Dynare.
|
||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
% =========================================================================
|
||||||
|
|
||||||
|
% Define testscenario
|
||||||
|
@#define orderApp = 2
|
||||||
|
@#define estimParams = 1
|
||||||
|
|
||||||
|
% Note that we set the numerical optimization tolerance levels very large to speed up the testsuite
|
||||||
|
@#define optimizer = 4
|
||||||
|
|
||||||
|
var c p R g y z INFL INT YGR;
|
||||||
|
varexo e_r e_g e_z;
|
||||||
|
parameters tau nu kap cyst psi1 psi2 rhor rhog rhoz rrst pist gamst;
|
||||||
|
|
||||||
|
varobs INT YGR INFL;
|
||||||
|
|
||||||
|
tau = 2;
|
||||||
|
nu = 0.1;
|
||||||
|
kap = 0.33;
|
||||||
|
cyst = 0.85;
|
||||||
|
psi1 = 1.5;
|
||||||
|
psi2 = 0.125;
|
||||||
|
rhor = 0.75;
|
||||||
|
rhog = 0.95;
|
||||||
|
rhoz = 0.9;
|
||||||
|
rrst = 1;
|
||||||
|
pist = 3.2;
|
||||||
|
gamst = 0.55;
|
||||||
|
|
||||||
|
model;
|
||||||
|
#pist2 = exp(pist/400);
|
||||||
|
#rrst2 = exp(rrst/400);
|
||||||
|
#bet = 1/rrst2;
|
||||||
|
#phi = tau*(1-nu)/nu/kap/pist2^2;
|
||||||
|
#gst = 1/cyst;
|
||||||
|
#cst = (1-nu)^(1/tau);
|
||||||
|
#yst = cst*gst;
|
||||||
|
#dy = y-y(-1);
|
||||||
|
1 = exp(-tau*c(+1)+tau*c+R-z(+1)-p(+1));
|
||||||
|
(1-nu)/nu/phi/(pist2^2)*(exp(tau*c)-1) = (exp(p)-1)*((1-1/2/nu)*exp(p)+1/2/nu) - bet*(exp(p(+1))-1)*exp(-tau*c(+1)+tau*c+y(+1)-y+p(+1));
|
||||||
|
exp(c-y) = exp(-g) - phi*pist2^2*gst/2*(exp(p)-1)^2;
|
||||||
|
R = rhor*R(-1) + (1-rhor)*psi1*p + (1-rhor)*psi2*(dy+z) + e_r/100;
|
||||||
|
g = rhog*g(-1) + e_g/100;
|
||||||
|
z = rhoz*z(-1) + e_z/100;
|
||||||
|
YGR = gamst+100*(dy+z);
|
||||||
|
INFL = pist+400*p;
|
||||||
|
INT = pist+rrst+4*gamst+400*R;
|
||||||
|
end;
|
||||||
|
|
||||||
|
steady_state_model;
|
||||||
|
z = 0; p = 0; g = 0; r = 0; c = 0; y = 0;
|
||||||
|
YGR = gamst; INFL = pist; INT = pist + rrst + 4*gamst;
|
||||||
|
end;
|
||||||
|
|
||||||
|
shocks;
|
||||||
|
var e_r = 0.20^2;
|
||||||
|
var e_g = 0.80^2;
|
||||||
|
var e_z = 0.45^2;
|
||||||
|
corr e_r,e_g = 0.2;
|
||||||
|
end;
|
||||||
|
|
||||||
|
@#if estimParams == 0
|
||||||
|
% Define only initial values without bounds
|
||||||
|
estimated_params;
|
||||||
|
%tau, 1.50;
|
||||||
|
%kap, 0.15;
|
||||||
|
psi1, 1.20;
|
||||||
|
psi2, 0.50;
|
||||||
|
rhor, 0.50;
|
||||||
|
%rhog, 0.50;
|
||||||
|
%rhoz, 0.50;
|
||||||
|
%rrst, 1.20;
|
||||||
|
%pist, 3.00;
|
||||||
|
gamst, 0.75;
|
||||||
|
stderr e_r, 0.30;
|
||||||
|
stderr e_g, 0.30;
|
||||||
|
stderr e_z, 0.30;
|
||||||
|
corr e_r,e_g, 0.10;
|
||||||
|
end;
|
||||||
|
@#endif
|
||||||
|
|
||||||
|
@#if estimParams == 1
|
||||||
|
% Define initial values and bounds
|
||||||
|
estimated_params;
|
||||||
|
%tau, 1.50, 1e-5, 10;
|
||||||
|
%kap, 0.15, 1e-5, 10;
|
||||||
|
psi1, 1.20, 1e-5, 10;
|
||||||
|
psi2, 0.50, 1e-5, 10;
|
||||||
|
rhor, 0.50, 1e-5, 0.99999;
|
||||||
|
%rhog, 0.50, 1e-5, 0.99999;
|
||||||
|
%rhoz, 0.50, 1e-5, 0.99999;
|
||||||
|
%rrst, 1.20, 1e-5, 10;
|
||||||
|
%pist, 3.00, 1e-5, 20;
|
||||||
|
gamst, 0.75, -5, 5;
|
||||||
|
stderr e_r, 0.30, 1e-8, 5;
|
||||||
|
stderr e_g, 0.30, 1e-8, 5;
|
||||||
|
stderr e_z, 0.30, 1e-8, 5;
|
||||||
|
corr e_r,e_g, 0.10, -1, 1;
|
||||||
|
end;
|
||||||
|
@#endif
|
||||||
|
|
||||||
|
@#if estimParams == 2
|
||||||
|
% Define prior distribution
|
||||||
|
estimated_params;
|
||||||
|
%tau, 1.50, 1e-5, 10, gamma_pdf, 2.00, 0.50;
|
||||||
|
%kap, 0.15, 1e-5, 10, gamma_pdf, 0.33, 0.10;
|
||||||
|
psi1, 1.20, 1e-5, 10, gamma_pdf, 1.50, 0.25;
|
||||||
|
psi2, 0.50, 1e-5, 10, gamma_pdf, 0.125, 0.25;
|
||||||
|
rhor, 0.50, 1e-5, 0.99999, beta_pdf, 0.50, 0.20;
|
||||||
|
%rhog, 0.50, 1e-5, 0.99999, beta_pdf, 0.80, 0.10;
|
||||||
|
%rhoz, 0.50, 1e-5, 0.99999, beta_pdf, 0.66, 0.15;
|
||||||
|
%rrst, 1.20, 1e-5, 10, gamma_pdf, 0.50, 0.50;
|
||||||
|
%pist, 3.00, 1e-5, 20, gamma_pdf, 7.00, 2.00;
|
||||||
|
gamst, 0.75, -5, 5, normal_pdf, 0.40, 0.20;
|
||||||
|
stderr e_r, 0.30, 1e-8, 5, inv_gamma_pdf, 0.50, 0.26;
|
||||||
|
stderr e_g, 0.30, 1e-8, 5, inv_gamma_pdf, 1.25, 0.65;
|
||||||
|
stderr e_z, 0.30, 1e-8, 5, inv_gamma_pdf, 0.63, 0.33;
|
||||||
|
corr e_r,e_g, 0.10, -1, 1, uniform_pdf, , , -1, 1;
|
||||||
|
end;
|
||||||
|
@#endif
|
||||||
|
|
||||||
|
|
||||||
|
% Simulate data
|
||||||
|
stoch_simul(order=@{orderApp},pruning,nodisplay,nomoments,periods=750,drop=500);
|
||||||
|
save('AnScho_MoM_data_@{orderApp}.mat', options_.varobs{:} );
|
||||||
|
pause(1);
|
||||||
|
|
||||||
|
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% Method of Moments Estimation
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% matched_moments blocks : We don't have an interface yet
|
||||||
|
% get indices in declaration order
|
||||||
|
iYGR = strmatch('YGR', M_.endo_names,'exact');
|
||||||
|
iINFL = strmatch('INFL', M_.endo_names,'exact');
|
||||||
|
iINT = strmatch('INT', M_.endo_names,'exact');
|
||||||
|
% first entry: number of variable in declaration order
|
||||||
|
% second entry: lag
|
||||||
|
% third entry: power
|
||||||
|
|
||||||
|
matched_moments_ = {
|
||||||
|
%first-order product moments
|
||||||
|
[iYGR ] [0 ], [1 ];
|
||||||
|
[iINFL ] [0 ], [1 ];
|
||||||
|
[iINT ] [0 ], [1 ];
|
||||||
|
%second-order contemporenous product moments
|
||||||
|
[iYGR iYGR ] [0 0], [1 1];
|
||||||
|
[iYGR iINFL] [0 0], [1 1];
|
||||||
|
[iYGR iINT ] [0 0], [1 1];
|
||||||
|
[iINFL iINFL] [0 0], [1 1];
|
||||||
|
[iINFL iINT ] [0 0], [1 1];
|
||||||
|
[iINT iINT ] [0 0], [1 1];
|
||||||
|
%second-order temporal product moments
|
||||||
|
[iYGR iYGR ] [0 -1], [1 1];
|
||||||
|
%[iINT iYGR ] [0 -1], [1 1];
|
||||||
|
%[iINFL iYGR ] [0 -1], [1 1];
|
||||||
|
%[iYGR iINT ] [0 -1], [1 1];
|
||||||
|
[iINT iINT ] [0 -1], [1 1];
|
||||||
|
%[iINFL iINT ] [0 -1], [1 1];
|
||||||
|
%[iYGR iINFL] [0 -1], [1 1];
|
||||||
|
%[iINT iINFL] [0 -1], [1 1];
|
||||||
|
[iINFL iINFL] [0 -1], [1 1];
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
|
@#for mommethod in ["GMM", "SMM"]
|
||||||
|
method_of_moments(
|
||||||
|
% Necessery options
|
||||||
|
mom_method = @{mommethod} % method of moments method; possible values: GMM|SMM
|
||||||
|
, datafile = 'AnScho_MoM_data_@{orderApp}.mat' % name of filename with data
|
||||||
|
|
||||||
|
% Options for both GMM and SMM
|
||||||
|
% , bartlett_kernel_lag = 20 % bandwith in optimal weighting matrix
|
||||||
|
, order = @{orderApp} % order of Taylor approximation in perturbation
|
||||||
|
% , penalized_estimator % use penalized optimization
|
||||||
|
, pruning % use pruned state space system at higher-order
|
||||||
|
% , verbose % display and store intermediate estimation results
|
||||||
|
, weighting_matrix = ['optimal'] % weighting matrix in moments distance objective function; possible values: OPTIMAL|IDENTITY_MATRIX|DIAGONAL|filename
|
||||||
|
, additional_optimizer_steps = [4] % vector of numbers for the iterations in the 2-step feasible method of moments
|
||||||
|
% , prefilter=0 % demean each data series by its empirical mean and use centered moments
|
||||||
|
%
|
||||||
|
% Options for SMM
|
||||||
|
% , bounded_shock_support % trim shocks in simulation to +- 2 stdev
|
||||||
|
% , drop = 500 % number of periods dropped at beginning of simulation
|
||||||
|
% , seed = 24051986 % seed used in simulations
|
||||||
|
% , simulation_multiple = 5 % multiple of the data length used for simulation
|
||||||
|
%
|
||||||
|
% General options
|
||||||
|
%, dirname = 'MM' % directory in which to store estimation output
|
||||||
|
% , graph_format = EPS % specify the file format(s) for graphs saved to disk
|
||||||
|
% , nodisplay % do not display the graphs, but still save them to disk
|
||||||
|
% , nograph % do not create graphs (which implies that they are not saved to the disk nor displayed)
|
||||||
|
% , noprint % do not print stuff to console
|
||||||
|
% , plot_priors = 1 % control plotting of priors
|
||||||
|
% , prior_trunc = 1e-10 % probability of extreme values of the prior density that is ignored when computing bounds for the parameters
|
||||||
|
% , TeX % print TeX tables and graphics
|
||||||
|
%
|
||||||
|
% Data and model options
|
||||||
|
%, first_obs = 501 % number of first observation
|
||||||
|
% , logdata % if loglinear is set, this option is necessary if the user provides data already in logs, otherwise the log transformation will be applied twice (this may result in complex data)
|
||||||
|
% , loglinear % computes a log-linear approximation of the model instead of a linear approximation
|
||||||
|
, nobs = 250 % number of observations
|
||||||
|
% , xls_sheet = willi % name of sheet with data in Excel
|
||||||
|
% , xls_range = B2:D200 % range of data in Excel sheet
|
||||||
|
%
|
||||||
|
% Optimization options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
% , analytic_derivation % uses analytic derivatives to compute standard errors for GMM
|
||||||
|
%, huge_number=1D10 % value for replacing the infinite bounds on parameters by finite numbers. Used by some optimizers for numerical reasons
|
||||||
|
, mode_compute = @{optimizer} % specifies the optimizer for minimization of moments distance, note that by default there is a new optimizer
|
||||||
|
%, optim = ('TolFun', 1e-5
|
||||||
|
% ,'TolX', 1e-6
|
||||||
|
% ) % a list of NAME and VALUE pairs to set options for the optimization routines. Available options depend on mode_compute
|
||||||
|
%, silent_optimizer % run minimization of moments distance silently without displaying results or saving files in between
|
||||||
|
% , tolf = 1e-5 % convergence criterion on function value for numerical differentiation
|
||||||
|
% , tolx = 1e-6 % convergence criterion on funciton input for numerical differentiation
|
||||||
|
%
|
||||||
|
% % Numerical algorithms options
|
||||||
|
% , aim_solver % Use AIM algorithm to compute perturbation approximation
|
||||||
|
% , dr=default % method used to compute the decision rule; possible values are DEFAULT, CYCLE_REDUCTION, LOGARITHMIC_REDUCTION
|
||||||
|
% , dr_cycle_reduction_tol = 1e-7 % convergence criterion used in the cycle reduction algorithm
|
||||||
|
% , dr_logarithmic_reduction_maxiter = 100 % maximum number of iterations used in the logarithmic reduction algorithm
|
||||||
|
% , dr_logarithmic_reduction_tol = 1e-12 % convergence criterion used in the cycle reduction algorithm
|
||||||
|
% , k_order_solver % use k_order_solver in higher order perturbation approximations
|
||||||
|
% , lyapunov = DEFAULT % algorithm used to solve lyapunov equations; possible values are DEFAULT, FIXED_POINT, DOUBLING, SQUARE_ROOT_SOLVER
|
||||||
|
% , lyapunov_complex_threshold = 1e-15 % complex block threshold for the upper triangular matrix in symmetric Lyapunov equation solver
|
||||||
|
% , lyapunov_fixed_point_tol = 1e-10 % convergence criterion used in the fixed point Lyapunov solver
|
||||||
|
% , lyapunov_doubling_tol = 1e-16 % convergence criterion used in the doubling algorithm
|
||||||
|
% , sylvester = default % algorithm to solve Sylvester equation; possible values are DEFAULT, FIXED_POINT
|
||||||
|
% , sylvester_fixed_point_tol = 1e-12 % convergence criterion used in the fixed point Sylvester solver
|
||||||
|
% , qz_criterium = 0.999999 % value used to split stable from unstable eigenvalues in reordering the Generalized Schur decomposition used for solving first order problems [IS THIS CORRET @wmutschl]
|
||||||
|
% , qz_zero_threshold = 1e-6 % value used to test if a generalized eigenvalue is 0/0 in the generalized Schur decomposition
|
||||||
|
);
|
||||||
|
@#endfor
|
||||||
|
|
Binary file not shown.
|
@ -0,0 +1,202 @@
|
||||||
|
% Tests SMM and GMM routines
|
||||||
|
%
|
||||||
|
% Copyright (C) 2020 Dynare Team
|
||||||
|
%
|
||||||
|
% This file is part of Dynare.
|
||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
% =========================================================================
|
||||||
|
|
||||||
|
% Define testscenario
|
||||||
|
@#define orderApp = 2
|
||||||
|
@#define estimParams = 1
|
||||||
|
|
||||||
|
% Note that we will set the numerical optimization tolerance levels very large to speed up the testsuite
|
||||||
|
@#define optimizer = 13
|
||||||
|
|
||||||
|
|
||||||
|
@#include "RBC_MoM_common.inc"
|
||||||
|
|
||||||
|
shocks;
|
||||||
|
var u_a; stderr 0.0072;
|
||||||
|
end;
|
||||||
|
|
||||||
|
varobs c iv n;
|
||||||
|
|
||||||
|
|
||||||
|
@#if estimParams == 0
|
||||||
|
estimated_params;
|
||||||
|
DELTA, 0.025;
|
||||||
|
BETTA, 0.984;
|
||||||
|
B, 0.5;
|
||||||
|
ETAc, 2;
|
||||||
|
ALFA, 0.667;
|
||||||
|
RHOA, 0.979;
|
||||||
|
stderr u_a, 0.0072;
|
||||||
|
end;
|
||||||
|
@#endif
|
||||||
|
|
||||||
|
@#if estimParams == 1
|
||||||
|
estimated_params;
|
||||||
|
DELTA, , 0, 1;
|
||||||
|
BETTA, , 0, 1;
|
||||||
|
B, , 0, 1;
|
||||||
|
ETAc, , 0, 10;
|
||||||
|
ALFA, , 0, 1;
|
||||||
|
RHOA, , 0, 1;
|
||||||
|
stderr u_a, , 0, 1;
|
||||||
|
end;
|
||||||
|
@#endif
|
||||||
|
|
||||||
|
@#if estimParams == 2
|
||||||
|
estimated_params;
|
||||||
|
DELTA, 0.025, 0, 1, normal_pdf, 0.02, 0.5;
|
||||||
|
BETTA, 0.98, 0, 1, beta_pdf, 0.90, 0.25;
|
||||||
|
B, 0.45, 0, 1, normal_pdf, 0.40, 0.5;
|
||||||
|
%ETAl, 1, 0, 10, normal_pdf, 0.25, 0.0.1;
|
||||||
|
ETAc, 1.8, 0, 10, normal_pdf, 1.80, 0.5;
|
||||||
|
ALFA, 0.65, 0, 1, normal_pdf, 0.60, 0.5;
|
||||||
|
RHOA, 0.95, 0, 1, normal_pdf, 0.90, 0.5;
|
||||||
|
stderr u_a, 0.01, 0, 1, normal_pdf, 0.01, 0.5;
|
||||||
|
%THETA, 3.48, 0, 10, normal_pdf, 0.25, 0.0.1;
|
||||||
|
end;
|
||||||
|
@#endif
|
||||||
|
|
||||||
|
% Simulate data
|
||||||
|
%stoch_simul(order=@{orderApp},pruning,nodisplay,nomoments,periods=500);
|
||||||
|
%save('RBC_MoM_data_@{orderApp}.mat', options_.varobs{:} );
|
||||||
|
%pause(1);
|
||||||
|
|
||||||
|
|
||||||
|
estimated_params_init(use_calibration);
|
||||||
|
end;
|
||||||
|
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% Method of Moments Estimation
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% matched_moments blocks : We don't have an interface yet
|
||||||
|
|
||||||
|
% get indices in declaration order
|
||||||
|
ic = strmatch('c', M_.endo_names,'exact');
|
||||||
|
iiv = strmatch('iv', M_.endo_names,'exact');
|
||||||
|
in = strmatch('n', M_.endo_names,'exact');
|
||||||
|
% first entry: number of variable in declaration order
|
||||||
|
% second entry: lag
|
||||||
|
% third entry: power
|
||||||
|
|
||||||
|
matched_moments_ = {
|
||||||
|
[ic ] [0 ], [1 ];
|
||||||
|
[in ] [0 ], [1 ];
|
||||||
|
[iiv ] [0 ], [1 ];
|
||||||
|
|
||||||
|
[ic ic ] [0 0], [1 1];
|
||||||
|
[ic iiv] [0 0], [1 1];
|
||||||
|
%[ic in ] [0 0], [1 1];
|
||||||
|
%[iiv ic ] [0 0], [1 1];
|
||||||
|
[iiv in ] [0 0], [1 1];
|
||||||
|
[iiv iiv] [0 0], [1 1];
|
||||||
|
[in ic ] [0 0], [1 1];
|
||||||
|
%[in iiv] [0 0], [1 1];
|
||||||
|
[in in ] [0 0], [1 1];
|
||||||
|
|
||||||
|
[ic ic ] [0 -1], [1 1];
|
||||||
|
[in in ] [0 -1], [1 1];
|
||||||
|
[iiv iiv] [0 -1], [1 1];
|
||||||
|
|
||||||
|
[ic ic ] [0 -3], [1 1];
|
||||||
|
[in in ] [0 -3], [1 1];
|
||||||
|
[iiv iiv] [0 -3], [1 1];
|
||||||
|
|
||||||
|
[ic ic ] [0 -5], [1 1];
|
||||||
|
[in in ] [0 -5], [1 1];
|
||||||
|
[iiv iiv] [0 -5], [1 1];
|
||||||
|
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
method_of_moments(
|
||||||
|
% Necessery options
|
||||||
|
mom_method = GMM % method of moments method; possible values: GMM|SMM
|
||||||
|
, datafile = 'RBC_Andreasen_Data_2.mat' % name of filename with data
|
||||||
|
|
||||||
|
% Options for both GMM and SMM
|
||||||
|
%, bartlett_kernel_lag = 20 % bandwith in optimal weighting matrix
|
||||||
|
, order = 2 % order of Taylor approximation in perturbation
|
||||||
|
%, penalized_estimator % use penalized optimization
|
||||||
|
%, pruning % use pruned state space system at higher-order
|
||||||
|
%, verbose % display and store intermediate estimation results
|
||||||
|
, weighting_matrix = ['DIAGONAL','OPTIMAL'] % weighting matrix in moments distance objective function; possible values: OPTIMAL|IDENTITY_MATRIX|DIAGONAL|filename
|
||||||
|
%, weighting_matrix_scaling_factor=1
|
||||||
|
, additional_optimizer_steps = [13] % vector of additional mode-finders run after mode_compute
|
||||||
|
%, prefilter=0 % demean each data series by its empirical mean and use centered moments
|
||||||
|
%
|
||||||
|
% Options for SMM
|
||||||
|
%, bounded_shock_support % trim shocks in simulation to +- 2 stdev
|
||||||
|
%, drop = 500 % number of periods dropped at beginning of simulation
|
||||||
|
%, seed = 24051986 % seed used in simulations
|
||||||
|
%, simulation_multiple = 5 % multiple of the data length used for simulation
|
||||||
|
%, burnin = 200
|
||||||
|
%
|
||||||
|
% General options
|
||||||
|
%, dirname = 'MM' % directory in which to store estimation output
|
||||||
|
%, graph_format = EPS % specify the file format(s) for graphs saved to disk
|
||||||
|
%, nodisplay % do not display the graphs, but still save them to disk
|
||||||
|
%, nograph % do not create graphs (which implies that they are not saved to the disk nor displayed)
|
||||||
|
%, noprint % do not print stuff to console
|
||||||
|
%, plot_priors = 1 % control plotting of priors
|
||||||
|
%, prior_trunc = 1e-10 % probability of extreme values of the prior density that is ignored when computing bounds for the parameters
|
||||||
|
, TeX % print TeX tables and graphics
|
||||||
|
%
|
||||||
|
% Data and model options
|
||||||
|
%, first_obs = 501 % number of first observation
|
||||||
|
%, logdata % if loglinear is set, this option is necessary if the user provides data already in logs, otherwise the log transformation will be applied twice (this may result in complex data)
|
||||||
|
%, loglinear % computes a log-linear approximation of the model instead of a linear approximation
|
||||||
|
%, nobs = 50 % number of observations
|
||||||
|
% , xls_sheet = willi % name of sheet with data in Excel
|
||||||
|
% , xls_range = B2:D200 % range of data in Excel sheet
|
||||||
|
%
|
||||||
|
% Optimization options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
%, analytic_derivation % uses analytic derivatives to compute standard errors for GMM
|
||||||
|
%, huge_number=1D10 % value for replacing the infinite bounds on parameters by finite numbers. Used by some optimizers for numerical reasons
|
||||||
|
, mode_compute = 13 % specifies the optimizer for minimization of moments distance, note that by default there is a new optimizer
|
||||||
|
, optim = ('TolFun', 1D-6
|
||||||
|
,'TolX', 1D-6
|
||||||
|
) % a list of NAME and VALUE pairs to set options for the optimization routines. Available options depend on mode_compute
|
||||||
|
%, silent_optimizer % run minimization of moments distance silently without displaying results or saving files in between
|
||||||
|
, se_tolx = 1e-6 % convergence criterion on funciton input for numerical differentiation
|
||||||
|
%
|
||||||
|
% % Numerical algorithms options
|
||||||
|
%, aim_solver % Use AIM algorithm to compute perturbation approximation
|
||||||
|
%, dr=DEFAULT % method used to compute the decision rule; possible values are DEFAULT, CYCLE_REDUCTION, LOGARITHMIC_REDUCTION
|
||||||
|
%, dr_cycle_reduction_tol = 1e-7 % convergence criterion used in the cycle reduction algorithm
|
||||||
|
%, dr_logarithmic_reduction_maxiter = 100 % maximum number of iterations used in the logarithmic reduction algorithm
|
||||||
|
%, dr_logarithmic_reduction_tol = 1e-12 % convergence criterion used in the cycle reduction algorithm
|
||||||
|
%, k_order_solver % use k_order_solver in higher order perturbation approximations
|
||||||
|
%, lyapunov = DEFAULT % algorithm used to solve lyapunov equations; possible values are DEFAULT, FIXED_POINT, DOUBLING, SQUARE_ROOT_SOLVER
|
||||||
|
%, lyapunov_complex_threshold = 1e-15 % complex block threshold for the upper triangular matrix in symmetric Lyapunov equation solver
|
||||||
|
%, lyapunov_fixed_point_tol = 1e-10 % convergence criterion used in the fixed point Lyapunov solver
|
||||||
|
%, lyapunov_doubling_tol = 1e-16 % convergence criterion used in the doubling algorithm
|
||||||
|
%, sylvester = default % algorithm to solve Sylvester equation; possible values are DEFAULT, FIXED_POINT
|
||||||
|
%, sylvester_fixed_point_tol = 1e-12 % convergence criterion used in the fixed point Sylvester solver
|
||||||
|
%, qz_criterium = 0.999999 % value used to split stable from unstable eigenvalues in reordering the Generalized Schur decomposition used for solving first order problems [IS THIS CORRET @wmutschl]
|
||||||
|
%, qz_zero_threshold = 1e-6 % value used to test if a generalized eigenvalue is 0/0 in the generalized Schur decomposition
|
||||||
|
, mode_check
|
||||||
|
%, mode_check_neighbourhood_size=0.5
|
||||||
|
%, mode_check_symmetric_plots=0
|
||||||
|
%, mode_check_number_of_points=25
|
||||||
|
);
|
||||||
|
|
||||||
|
|
||||||
|
|
|
@ -0,0 +1,191 @@
|
||||||
|
%
|
||||||
|
% This file is part of Dynare.
|
||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
% =========================================================================
|
||||||
|
|
||||||
|
% Define testscenario
|
||||||
|
@#define orderApp = 1
|
||||||
|
@#define estimParams = 0
|
||||||
|
|
||||||
|
% Note that we will set the numerical optimization tolerance levels very large to speed up the testsuite
|
||||||
|
@#define optimizer = 5
|
||||||
|
|
||||||
|
@#include "RBC_MoM_common.inc"
|
||||||
|
|
||||||
|
shocks;
|
||||||
|
var u_a; stderr 0.0072;
|
||||||
|
var n; stderr 0.01;
|
||||||
|
end;
|
||||||
|
|
||||||
|
varobs n c iv;
|
||||||
|
|
||||||
|
@#if estimParams == 0
|
||||||
|
estimated_params;
|
||||||
|
DELTA, 0.025;
|
||||||
|
BETTA, 0.984;
|
||||||
|
B, 0.5;
|
||||||
|
%ETAl, 1;
|
||||||
|
ETAc, 1;
|
||||||
|
ALFA, 0.667;
|
||||||
|
RHOA, 0.979;
|
||||||
|
stderr u_a, 0.0072;
|
||||||
|
%THETA, 3.48;
|
||||||
|
stderr n, 0.01;
|
||||||
|
|
||||||
|
end;
|
||||||
|
@#endif
|
||||||
|
|
||||||
|
@#if estimParams == 1
|
||||||
|
estimated_params;
|
||||||
|
DELTA, 0.02, 0, 1;
|
||||||
|
BETTA, 0.90, 0, 1;
|
||||||
|
B, 0.40, 0, 1;
|
||||||
|
%ETAl, 1, 0, 10;
|
||||||
|
ETAc, 1.80, 0, 10;
|
||||||
|
ALFA, 0.60, 0, 1;
|
||||||
|
RHOA, 0.90, 0, 1;
|
||||||
|
stderr u_a, 0.01, 0, 1;
|
||||||
|
stderr n, 0.01, 0, 1;
|
||||||
|
end;
|
||||||
|
@#endif
|
||||||
|
|
||||||
|
@#if estimParams == 2
|
||||||
|
estimated_params;
|
||||||
|
DELTA, 0.02, 0, 1, normal_pdf, 0.02, 0.5;
|
||||||
|
BETTA, 0.90, 0, 1, beta_pdf, 0.90, 0.25;
|
||||||
|
B, 0.40, 0, 1, normal_pdf, 0.40, 0.5;
|
||||||
|
%ETAl, 1, 0, 10, normal_pdf, 0.25, 0.0.1;
|
||||||
|
ETAc, 1.80, 0, 10, normal_pdf, 1.80, 0.5;
|
||||||
|
ALFA, 0.60, 0, 1, normal_pdf, 0.60, 0.5;
|
||||||
|
RHOA, 0.90, 0, 1, normal_pdf, 0.90, 0.5;
|
||||||
|
stderr u_a, 0.01, 0, 1, normal_pdf, 0.01, 0.5;
|
||||||
|
stderr n, 0.001, 0, 1, normal_pdf, 0.01, 0.5;
|
||||||
|
end;
|
||||||
|
@#endif
|
||||||
|
|
||||||
|
% Simulate data
|
||||||
|
stoch_simul(order=@{orderApp},pruning,nodisplay,nomoments,periods=250);
|
||||||
|
save('RBC_MoM_data_@{orderApp}.mat', options_.varobs{:} );
|
||||||
|
pause(1);
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% Method of Moments Estimation
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% matched_moments blocks : We don't have an interface yet
|
||||||
|
|
||||||
|
% get indices in declaration order
|
||||||
|
ic = strmatch('c', M_.endo_names,'exact');
|
||||||
|
iiv = strmatch('iv', M_.endo_names,'exact');
|
||||||
|
in = strmatch('n', M_.endo_names,'exact');
|
||||||
|
% first entry: number of variable in declaration order
|
||||||
|
% second entry: lag
|
||||||
|
% third entry: power
|
||||||
|
|
||||||
|
matched_moments_ = {
|
||||||
|
[ic ] [0 ], [1 ];
|
||||||
|
[in ] [0 ], [1 ];
|
||||||
|
[iiv ] [0 ], [1 ];
|
||||||
|
[ic ic ] [0 0], [1 1];
|
||||||
|
[ic iiv] [0 0], [1 1];
|
||||||
|
[ic in ] [0 0], [1 1];
|
||||||
|
[iiv ic ] [0 0], [1 1];
|
||||||
|
[iiv iiv] [0 0], [1 1];
|
||||||
|
[iiv in ] [0 0], [1 1];
|
||||||
|
% [in ic ] [0 0], [1 1];
|
||||||
|
% [in iiv] [0 0], [1 1];
|
||||||
|
[in in ] [0 0], [1 1];
|
||||||
|
[ic ic ] [0 -1], [1 1];
|
||||||
|
[in in ] [0 -1], [1 1];
|
||||||
|
[iiv iiv] [0 -1], [1 1];
|
||||||
|
% [iiv iiv] [0 -1], [1 1];
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
@#for mommethod in ["SMM"]
|
||||||
|
method_of_moments(
|
||||||
|
% Necessery options
|
||||||
|
mom_method = @{mommethod} % method of moments method; possible values: GMM|SMM
|
||||||
|
, datafile = 'RBC_MoM_data_@{orderApp}.mat' % name of filename with data
|
||||||
|
|
||||||
|
% Options for both GMM and SMM
|
||||||
|
% , bartlett_kernel_lag = 20 % bandwith in optimal weighting matrix
|
||||||
|
, order = @{orderApp} % order of Taylor approximation in perturbation
|
||||||
|
% , penalized_estimator % use penalized optimization
|
||||||
|
, pruning % use pruned state space system at higher-order
|
||||||
|
% , verbose % display and store intermediate estimation results
|
||||||
|
, weighting_matrix = ['identity_matrix'] % weighting matrix in moments distance objective function; possible values: OPTIMAL|IDENTITY_MATRIX|DIAGONAL|filename
|
||||||
|
, weighting_matrix_scaling_factor = 10
|
||||||
|
, burnin=250
|
||||||
|
%, additional_optimizer_steps = [4] % vector of additional mode-finders run after mode_compute
|
||||||
|
% , prefilter=0 % demean each data series by its empirical mean and use centered moments
|
||||||
|
%
|
||||||
|
% Options for SMM
|
||||||
|
% , bounded_shock_support % trim shocks in simulation to +- 2 stdev
|
||||||
|
% , drop = 500 % number of periods dropped at beginning of simulation
|
||||||
|
% , seed = 24051986 % seed used in simulations
|
||||||
|
% , simulation_multiple = 5 % multiple of the data length used for simulation
|
||||||
|
%
|
||||||
|
% General options
|
||||||
|
%, dirname = 'MM' % directory in which to store estimation output
|
||||||
|
% , graph_format = EPS % specify the file format(s) for graphs saved to disk
|
||||||
|
% , nodisplay % do not display the graphs, but still save them to disk
|
||||||
|
% , nograph % do not create graphs (which implies that they are not saved to the disk nor displayed)
|
||||||
|
% , noprint % do not print stuff to console
|
||||||
|
% , plot_priors = 1 % control plotting of priors
|
||||||
|
% , prior_trunc = 1e-10 % probability of extreme values of the prior density that is ignored when computing bounds for the parameters
|
||||||
|
% , TeX % print TeX tables and graphics
|
||||||
|
%
|
||||||
|
% Data and model options
|
||||||
|
%, first_obs = 501 % number of first observation
|
||||||
|
% , logdata % if loglinear is set, this option is necessary if the user provides data already in logs, otherwise the log transformation will be applied twice (this may result in complex data)
|
||||||
|
% , loglinear % computes a log-linear approximation of the model instead of a linear approximation
|
||||||
|
%, nobs = 500 % number of observations
|
||||||
|
% , xls_sheet = willi % name of sheet with data in Excel
|
||||||
|
% , xls_range = B2:D200 % range of data in Excel sheet
|
||||||
|
%
|
||||||
|
% Optimization options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
% , analytic_derivation % uses analytic derivatives to compute standard errors for GMM
|
||||||
|
%, huge_number=1D10 % value for replacing the infinite bounds on parameters by finite numbers. Used by some optimizers for numerical reasons
|
||||||
|
, mode_compute = @{optimizer} % specifies the optimizer for minimization of moments distance, note that by default there is a new optimizer
|
||||||
|
%, optim = ('TolFun', 1e-3
|
||||||
|
% ,'TolX', 1e-5
|
||||||
|
% ) % a list of NAME and VALUE pairs to set options for the optimization routines. Available options depend on mode_compute
|
||||||
|
%, silent_optimizer % run minimization of moments distance silently without displaying results or saving files in between
|
||||||
|
% , tolf = 1e-5 % convergence criterion on function value for numerical differentiation
|
||||||
|
% , tolx = 1e-6 % convergence criterion on funciton input for numerical differentiation
|
||||||
|
%
|
||||||
|
% % Numerical algorithms options
|
||||||
|
% , aim_solver % Use AIM algorithm to compute perturbation approximation
|
||||||
|
% , dr=default % method used to compute the decision rule; possible values are DEFAULT, CYCLE_REDUCTION, LOGARITHMIC_REDUCTION
|
||||||
|
% , dr_cycle_reduction_tol = 1e-7 % convergence criterion used in the cycle reduction algorithm
|
||||||
|
% , dr_logarithmic_reduction_maxiter = 100 % maximum number of iterations used in the logarithmic reduction algorithm
|
||||||
|
% , dr_logarithmic_reduction_tol = 1e-12 % convergence criterion used in the cycle reduction algorithm
|
||||||
|
% , k_order_solver % use k_order_solver in higher order perturbation approximations
|
||||||
|
% , lyapunov = DEFAULT % algorithm used to solve lyapunov equations; possible values are DEFAULT, FIXED_POINT, DOUBLING, SQUARE_ROOT_SOLVER
|
||||||
|
% , lyapunov_complex_threshold = 1e-15 % complex block threshold for the upper triangular matrix in symmetric Lyapunov equation solver
|
||||||
|
% , lyapunov_fixed_point_tol = 1e-10 % convergence criterion used in the fixed point Lyapunov solver
|
||||||
|
% , lyapunov_doubling_tol = 1e-16 % convergence criterion used in the doubling algorithm
|
||||||
|
% , sylvester = default % algorithm to solve Sylvester equation; possible values are DEFAULT, FIXED_POINT
|
||||||
|
% , sylvester_fixed_point_tol = 1e-12 % convergence criterion used in the fixed point Sylvester solver
|
||||||
|
% , qz_criterium = 0.999999 % value used to split stable from unstable eigenvalues in reordering the Generalized Schur decomposition used for solving first order problems [IS THIS CORRET @wmutschl]
|
||||||
|
% , qz_zero_threshold = 1e-6 % value used to test if a generalized eigenvalue is 0/0 in the generalized Schur decomposition
|
||||||
|
);
|
||||||
|
@#endfor
|
||||||
|
|
||||||
|
|
||||||
|
|
|
@ -0,0 +1,80 @@
|
||||||
|
% RBC model used in replication files of
|
||||||
|
% Andreasen, Fernández-Villaverde, Rubio-Ramírez (2018): "The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications", Review of Economic Studies, 85(1):1-49.
|
||||||
|
% Adapted by Willi Mutschler (@wmutschl, willi@mutschler.eu)
|
||||||
|
% =========================================================================
|
||||||
|
% Copyright (C) 2020 Dynare Team
|
||||||
|
|
||||||
|
var k $K$
|
||||||
|
c $C$
|
||||||
|
a $A$
|
||||||
|
iv $I$
|
||||||
|
y $Y$
|
||||||
|
la $\lambda$
|
||||||
|
n $N$
|
||||||
|
rk ${r^k}$
|
||||||
|
w $W$
|
||||||
|
;
|
||||||
|
|
||||||
|
predetermined_variables k;
|
||||||
|
|
||||||
|
varexo u_a ${\varepsilon^{a}}$
|
||||||
|
;
|
||||||
|
|
||||||
|
parameters DELTA $\delta$
|
||||||
|
BETTA $\beta$
|
||||||
|
B $B$
|
||||||
|
ETAl $\eta_l$
|
||||||
|
ETAc $\eta_c$
|
||||||
|
THETA $\theta$
|
||||||
|
ALFA $\alpha$
|
||||||
|
RHOA $\rho_a$
|
||||||
|
;
|
||||||
|
|
||||||
|
DELTA = 0.025;
|
||||||
|
BETTA = 0.984;
|
||||||
|
B = 0.5;
|
||||||
|
ETAl = 1;
|
||||||
|
ETAc = 2;
|
||||||
|
THETA = 3.48;
|
||||||
|
ALFA = 0.667;
|
||||||
|
RHOA = 0.979;
|
||||||
|
|
||||||
|
model;
|
||||||
|
0 = -exp(la) +(exp(c)-B*exp(c(-1)))^(-ETAc) - BETTA*B*(exp(c(+1))-B*exp(c))^(-ETAc);
|
||||||
|
0 = -THETA*(1-exp(n))^-ETAl + exp(la)*exp(w);
|
||||||
|
0 = -exp(la) + BETTA*exp(la(+1))*(exp(rk(+1)) + (1-DELTA));
|
||||||
|
0 = -exp(a)*(1-ALFA)*exp(k)^(-ALFA)*exp(n)^(ALFA) + exp(rk);
|
||||||
|
0 = -exp(a)*ALFA*exp(k)^(1-ALFA)*exp(n)^(ALFA-1) + exp(w);
|
||||||
|
0 = -exp(c) - exp(iv) + exp(y);
|
||||||
|
0 = -exp(y) + exp(a)*exp(k)^(1-ALFA)*exp(n)^(ALFA);
|
||||||
|
0 = -exp(k(+1)) + (1-DELTA)*exp(k) + exp(iv);
|
||||||
|
0 = -log(exp(a)) + RHOA*log(exp(a(-1))) + u_a;
|
||||||
|
end;
|
||||||
|
|
||||||
|
steady_state_model;
|
||||||
|
A = 1;
|
||||||
|
RK = 1/BETTA - (1-DELTA);
|
||||||
|
K_O_N = (RK/(A*(1-ALFA)))^(-1/ALFA);
|
||||||
|
W = A*ALFA*(K_O_N)^(1-ALFA);
|
||||||
|
IV_O_N = DELTA*K_O_N;
|
||||||
|
Y_O_N = A*K_O_N^(1-ALFA);
|
||||||
|
C_O_N = Y_O_N - IV_O_N;
|
||||||
|
|
||||||
|
N=RBC_MoM_steady_helper(THETA,ETAl,ETAc,BETTA,B,C_O_N,W);
|
||||||
|
C=C_O_N*N;
|
||||||
|
Y=Y_O_N*N;
|
||||||
|
IV=IV_O_N*N;
|
||||||
|
K=K_O_N*N;
|
||||||
|
LA = (C-B*C)^(-ETAc)-BETTA*B*(C-B*C)^(-ETAc);
|
||||||
|
|
||||||
|
k=log(K);
|
||||||
|
c=log(C);
|
||||||
|
a=log(A);
|
||||||
|
iv=log(IV);
|
||||||
|
y=log(Y);
|
||||||
|
la=log(LA);
|
||||||
|
n=log(N);
|
||||||
|
rk=log(RK);
|
||||||
|
w=log(W);
|
||||||
|
|
||||||
|
end;
|
|
@ -0,0 +1,161 @@
|
||||||
|
% Tests SMM and GMM routines with prefilter, explicit initialization, and estimated_params_init(use_calibration);
|
||||||
|
%
|
||||||
|
% Copyright (C) 2020 Dynare Team
|
||||||
|
%
|
||||||
|
% This file is part of Dynare.
|
||||||
|
%
|
||||||
|
% Dynare is free software: you can redistribute it and/or modify
|
||||||
|
% it under the terms of the GNU General Public License as published by
|
||||||
|
% the Free Software Foundation, either version 3 of the License, or
|
||||||
|
% (at your option) any later version.
|
||||||
|
%
|
||||||
|
% Dynare is distributed in the hope that it will be useful,
|
||||||
|
% but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||||
|
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||||
|
% GNU General Public License for more details.
|
||||||
|
%
|
||||||
|
% You should have received a copy of the GNU General Public License
|
||||||
|
% along with Dynare. If not, see <http://www.gnu.org/licenses/>.
|
||||||
|
% =========================================================================
|
||||||
|
|
||||||
|
% Define testscenario
|
||||||
|
@#define orderApp = 2
|
||||||
|
|
||||||
|
% Note that we will set the numerical optimization tolerance levels very large to speed up the testsuite
|
||||||
|
@#define optimizer = 13
|
||||||
|
|
||||||
|
|
||||||
|
@#include "RBC_MoM_common.inc"
|
||||||
|
|
||||||
|
shocks;
|
||||||
|
var u_a; stderr 0.0072;
|
||||||
|
end;
|
||||||
|
|
||||||
|
varobs n c iv;
|
||||||
|
|
||||||
|
% Simulate data
|
||||||
|
stoch_simul(order=@{orderApp},pruning,nodisplay,nomoments,periods=250,TeX);
|
||||||
|
save('RBC_MoM_data_@{orderApp}.mat', options_.varobs{:} );
|
||||||
|
pause(1);
|
||||||
|
|
||||||
|
set_param_value('DELTA',NaN);
|
||||||
|
|
||||||
|
estimated_params;
|
||||||
|
DELTA, 0.025, 0, 1;
|
||||||
|
BETTA, , 0, 1;
|
||||||
|
B, , 0, 1;
|
||||||
|
%ETAl, 1, 0, 10;
|
||||||
|
ETAc, , 0, 10;
|
||||||
|
ALFA, , 0, 1;
|
||||||
|
RHOA, , 0, 1;
|
||||||
|
stderr u_a, , 0, 1;
|
||||||
|
%THETA, 3.48, 0, 10;
|
||||||
|
end;
|
||||||
|
|
||||||
|
estimated_params_init(use_calibration);
|
||||||
|
end;
|
||||||
|
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% Method of Moments Estimation
|
||||||
|
%--------------------------------------------------------------------------
|
||||||
|
% matched_moments blocks : We don't have an interface yet
|
||||||
|
|
||||||
|
% get indices in declaration order
|
||||||
|
ic = strmatch('c', M_.endo_names,'exact');
|
||||||
|
iiv = strmatch('iv', M_.endo_names,'exact');
|
||||||
|
in = strmatch('n', M_.endo_names,'exact');
|
||||||
|
% first entry: number of variable in declaration order
|
||||||
|
% second entry: lag
|
||||||
|
% third entry: power
|
||||||
|
|
||||||
|
matched_moments_ = {
|
||||||
|
[ic ] [0 ], [1 ];
|
||||||
|
[in ] [0 ], [1 ];
|
||||||
|
[iiv ] [0 ], [1 ];
|
||||||
|
[ic ic ] [0 0], [1 1];
|
||||||
|
[ic iiv] [0 0], [1 1];
|
||||||
|
[ic in ] [0 0], [1 1];
|
||||||
|
[iiv ic ] [0 0], [1 1];
|
||||||
|
[iiv iiv] [0 0], [1 1];
|
||||||
|
[iiv in ] [0 0], [1 1];
|
||||||
|
% [in ic ] [0 0], [1 1];
|
||||||
|
% [in iiv] [0 0], [1 1];
|
||||||
|
[in in ] [0 0], [1 1];
|
||||||
|
[ic ic ] [0 -1], [1 1];
|
||||||
|
[in in ] [0 -1], [1 1];
|
||||||
|
[iiv iiv] [0 -1], [1 1];
|
||||||
|
% [iiv iiv] [0 -1], [1 1];
|
||||||
|
};
|
||||||
|
|
||||||
|
weighting_matrix=diag([1000;ones(8,1)]);
|
||||||
|
save('test_matrix.mat','weighting_matrix')
|
||||||
|
|
||||||
|
@#for mommethod in ["GMM", "SMM"]
|
||||||
|
method_of_moments(
|
||||||
|
% Necessery options
|
||||||
|
mom_method = @{mommethod} % method of moments method; possible values: GMM|SMM
|
||||||
|
, datafile = 'RBC_MoM_data_@{orderApp}.mat' % name of filename with data
|
||||||
|
|
||||||
|
% Options for both GMM and SMM
|
||||||
|
% , bartlett_kernel_lag = 20 % bandwith in optimal weighting matrix
|
||||||
|
, order = @{orderApp} % order of Taylor approximation in perturbation
|
||||||
|
% , penalized_estimator % use penalized optimization
|
||||||
|
, pruning % use pruned state space system at higher-order
|
||||||
|
% , verbose % display and store intermediate estimation results
|
||||||
|
% , weighting_matrix = 'test_matrix.mat' % weighting matrix in moments distance objective function; possible values: OPTIMAL|IDENTITY_MATRIX|DIAGONAL|filename
|
||||||
|
, weighting_matrix =['test_matrix.mat','optimal']
|
||||||
|
%, weighting_matrix = optimal % weighting matrix in moments distance objective function; possible values: OPTIMAL|IDENTITY_MATRIX|DIAGONAL|filename
|
||||||
|
%, additional_optimizer_steps = [4] % vector of additional mode-finders run after mode_compute
|
||||||
|
, prefilter=1 % demean each data series by its empirical mean and use centered moments
|
||||||
|
, se_tolx=1e-5
|
||||||
|
%
|
||||||
|
% Options for SMM
|
||||||
|
% , bounded_shock_support % trim shocks in simulation to +- 2 stdev
|
||||||
|
, burnin = 500 % number of periods dropped at beginning of simulation
|
||||||
|
% , seed = 24051986 % seed used in simulations
|
||||||
|
% , simulation_multiple = 5 % multiple of the data length used for simulation
|
||||||
|
%
|
||||||
|
% General options
|
||||||
|
%, dirname = 'MM' % directory in which to store estimation output
|
||||||
|
% , graph_format = EPS % specify the file format(s) for graphs saved to disk
|
||||||
|
% , nodisplay % do not display the graphs, but still save them to disk
|
||||||
|
% , nograph % do not create graphs (which implies that they are not saved to the disk nor displayed)
|
||||||
|
% , noprint % do not print stuff to console
|
||||||
|
% , plot_priors = 1 % control plotting of priors
|
||||||
|
% , prior_trunc = 1e-10 % probability of extreme values of the prior density that is ignored when computing bounds for the parameters
|
||||||
|
% , TeX % print TeX tables and graphics
|
||||||
|
%
|
||||||
|
% Data and model options
|
||||||
|
%, first_obs = 501 % number of first observation
|
||||||
|
% , logdata % if loglinear is set, this option is necessary if the user provides data already in logs, otherwise the log transformation will be applied twice (this may result in complex data)
|
||||||
|
% , loglinear % computes a log-linear approximation of the model instead of a linear approximation
|
||||||
|
%, nobs = 500 % number of observations
|
||||||
|
% , xls_sheet = willi % name of sheet with data in Excel
|
||||||
|
% , xls_range = B2:D200 % range of data in Excel sheet
|
||||||
|
%
|
||||||
|
% Optimization options that can be set by the user in the mod file, otherwise default values are provided
|
||||||
|
% , analytic_derivation % uses analytic derivatives to compute standard errors for GMM
|
||||||
|
%, huge_number=1D10 % value for replacing the infinite bounds on parameters by finite numbers. Used by some optimizers for numerical reasons
|
||||||
|
, mode_compute = @{optimizer} % specifies the optimizer for minimization of moments distance, note that by default there is a new optimizer
|
||||||
|
%, optim = ('TolFun', 1e-3
|
||||||
|
% ,'TolX', 1e-5
|
||||||
|
% ) % a list of NAME and VALUE pairs to set options for the optimization routines. Available options depend on mode_compute
|
||||||
|
%, silent_optimizer % run minimization of moments distance silently without displaying results or saving files in between
|
||||||
|
%
|
||||||
|
% % Numerical algorithms options
|
||||||
|
% , aim_solver % Use AIM algorithm to compute perturbation approximation
|
||||||
|
% , dr=default % method used to compute the decision rule; possible values are DEFAULT, CYCLE_REDUCTION, LOGARITHMIC_REDUCTION
|
||||||
|
% , dr_cycle_reduction_tol = 1e-7 % convergence criterion used in the cycle reduction algorithm
|
||||||
|
% , dr_logarithmic_reduction_maxiter = 100 % maximum number of iterations used in the logarithmic reduction algorithm
|
||||||
|
% , dr_logarithmic_reduction_tol = 1e-12 % convergence criterion used in the cycle reduction algorithm
|
||||||
|
% , k_order_solver % use k_order_solver in higher order perturbation approximations
|
||||||
|
% , lyapunov = DEFAULT % algorithm used to solve lyapunov equations; possible values are DEFAULT, FIXED_POINT, DOUBLING, SQUARE_ROOT_SOLVER
|
||||||
|
% , lyapunov_complex_threshold = 1e-15 % complex block threshold for the upper triangular matrix in symmetric Lyapunov equation solver
|
||||||
|
% , lyapunov_fixed_point_tol = 1e-10 % convergence criterion used in the fixed point Lyapunov solver
|
||||||
|
% , lyapunov_doubling_tol = 1e-16 % convergence criterion used in the doubling algorithm
|
||||||
|
% , sylvester = default % algorithm to solve Sylvester equation; possible values are DEFAULT, FIXED_POINT
|
||||||
|
% , sylvester_fixed_point_tol = 1e-12 % convergence criterion used in the fixed point Sylvester solver
|
||||||
|
% , qz_criterium = 0.999999 % value used to split stable from unstable eigenvalues in reordering the Generalized Schur decomposition used for solving first order problems [IS THIS CORRET @wmutschl]
|
||||||
|
% , qz_zero_threshold = 1e-6 % value used to test if a generalized eigenvalue is 0/0 in the generalized Schur decomposition
|
||||||
|
);
|
||||||
|
@#endfor
|
|
@ -0,0 +1,8 @@
|
||||||
|
function N = RBC_MoM_steady_helper(THETA,ETAl,ETAc,BETTA,B,C_O_N,W)
|
||||||
|
if ETAc == 1 && ETAl == 1
|
||||||
|
N = (1-BETTA*B)*(C_O_N*(1-B))^-1*W/THETA/(1+(1-BETTA*B)*(C_O_N*(1-B))^-1*W/THETA);
|
||||||
|
else
|
||||||
|
% No closed-form solution use a fixed-point algorithm
|
||||||
|
N0 = 1/3;
|
||||||
|
N = fsolve(@(N) THETA*(1-N)^(-ETAl)*N^ETAc - (1-BETTA*B)*(C_O_N*(1-B))^(-ETAc)*W, N0,optimset('Display','off','TolX',1e-12,'TolFun',1e-12));
|
||||||
|
end
|
|
@ -0,0 +1,74 @@
|
||||||
|
% By Willi Mutschler, September 26, 2016. Email: willi@mutschler.eu
|
||||||
|
function [ys,params,check] = RBCmodel_steadystate(ys,exo,M_,options_)
|
||||||
|
%% Step 0: initialize indicator and set options for numerical solver
|
||||||
|
check = 0;
|
||||||
|
options = optimset('Display','off','TolX',1e-12,'TolFun',1e-12);
|
||||||
|
params = M_.params;
|
||||||
|
|
||||||
|
%% Step 1: read out parameters to access them with their name
|
||||||
|
for ii = 1:M_.param_nbr
|
||||||
|
eval([ M_.param_names{ii} ' = M_.params(' int2str(ii) ');']);
|
||||||
|
end
|
||||||
|
|
||||||
|
%% Step 2: Check parameter restrictions
|
||||||
|
if ETAc*ETAl<1 % parameter violates restriction (here it is artifical)
|
||||||
|
check=1; %set failure indicator
|
||||||
|
return; %return without updating steady states
|
||||||
|
end
|
||||||
|
|
||||||
|
%% Step 3: Enter model equations here
|
||||||
|
A = 1;
|
||||||
|
RK = 1/BETTA - (1-DELTA);
|
||||||
|
K_O_N = (RK/(A*(1-ALFA)))^(-1/ALFA);
|
||||||
|
if K_O_N <= 0
|
||||||
|
check = 1; % set failure indicator
|
||||||
|
return; % return without updating steady states
|
||||||
|
end
|
||||||
|
W = A*ALFA*(K_O_N)^(1-ALFA);
|
||||||
|
IV_O_N = DELTA*K_O_N;
|
||||||
|
Y_O_N = A*K_O_N^(1-ALFA);
|
||||||
|
C_O_N = Y_O_N - IV_O_N;
|
||||||
|
if C_O_N <= 0
|
||||||
|
check = 1; % set failure indicator
|
||||||
|
return; % return without updating steady states
|
||||||
|
end
|
||||||
|
|
||||||
|
% The labor level
|
||||||
|
if ETAc == 1 && ETAl == 1
|
||||||
|
N = (1-BETTA*B)*(C_O_N*(1-B))^-1*W/THETA/(1+(1-BETTA*B)*(C_O_N*(1-B))^-1*W/THETA);
|
||||||
|
else
|
||||||
|
% No closed-form solution use a fixed-point algorithm
|
||||||
|
N0 = 1/3;
|
||||||
|
[N,~,exitflag] = fsolve(@(N) THETA*(1-N)^(-ETAl)*N^ETAc - (1-BETTA*B)*(C_O_N*(1-B))^(-ETAc)*W, N0,options);
|
||||||
|
if exitflag <= 0
|
||||||
|
check = 1; % set failure indicator
|
||||||
|
return % return without updating steady states
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
C=C_O_N*N;
|
||||||
|
Y=Y_O_N*N;
|
||||||
|
IV=IV_O_N*N;
|
||||||
|
K=K_O_N*N;
|
||||||
|
LA = (C-B*C)^(-ETAc)-BETTA*B*(C-B*C)^(-ETAc);
|
||||||
|
|
||||||
|
k=log(K);
|
||||||
|
c=log(C);
|
||||||
|
a=log(A);
|
||||||
|
iv=log(IV);
|
||||||
|
y=log(Y);
|
||||||
|
la=log(LA);
|
||||||
|
n=log(N);
|
||||||
|
rk=log(RK);
|
||||||
|
w=log(W);
|
||||||
|
%% Step 4: Update parameters and variables
|
||||||
|
params=NaN(M_.param_nbr,1);
|
||||||
|
for iter = 1:M_.param_nbr %update parameters set in the file
|
||||||
|
eval([ 'params(' num2str(iter) ') = ' M_.param_names{iter} ';' ])
|
||||||
|
end
|
||||||
|
|
||||||
|
for ii = 1:M_.orig_endo_nbr %auxiliary variables are set automatically
|
||||||
|
eval(['ys(' int2str(ii) ') = ' M_.endo_names{ii} ';']);
|
||||||
|
end
|
||||||
|
|
||||||
|
end
|
Loading…
Reference in New Issue