343 lines
15 KiB
Matlab
343 lines
15 KiB
Matlab
function [ys,params,info] = evaluate_steady_state(ys_init,M,options,oo,steadystate_check_flag)
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% function [ys,params,info] = evaluate_steady_state(ys_init,M,options,oo,steadystate_check_flag)
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% Computes the steady state
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%
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% INPUTS
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% ys_init vector initial values used to compute the steady
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% state
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% M struct model structure
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% options struct options
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% oo struct output results
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% steadystate_check_flag boolean if true, check that the
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% steadystate verifies the
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% static model
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%
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% OUTPUTS
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% ys vector steady state (in declaration order)
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% params vector model parameters possibly
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% modified by user steadystate
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% function
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% info 2x1 vector error codes
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%
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% SPECIAL REQUIREMENTS
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% none
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% Copyright (C) 2001-2020 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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%
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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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info = 0;
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check = 0;
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steadystate_flag = options.steadystate_flag;
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params = M.params;
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exo_ss = [oo.exo_steady_state; oo.exo_det_steady_state];
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if length(M.aux_vars) > 0 && ~steadystate_flag && M.set_auxiliary_variables
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h_set_auxiliary_variables = str2func([M.fname '.set_auxiliary_variables']);
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ys_init = h_set_auxiliary_variables(ys_init,exo_ss,params);
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end
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if options.ramsey_policy
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if steadystate_flag
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% explicit steady state file
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[ys,params,info] = evaluate_steady_state_file(ys_init,exo_ss,M, ...
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options,steadystate_check_flag);
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%test whether it solves model conditional on the instruments
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resids = evaluate_static_model(ys,exo_ss,params,M,options);
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n_multipliers=M.ramsey_eq_nbr;
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nan_indices=find(isnan(resids(n_multipliers+1:end)));
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if ~isempty(nan_indices)
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if options.debug
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fprintf('\nevaluate_steady_state: The steady state file computation for the Ramsey problem resulted in NaNs.\n')
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fprintf('evaluate_steady_state: The steady state was computed conditional on the following initial instrument values: \n')
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for ii = 1:size(options.instruments,1)
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fprintf('\t %s \t %f \n',options.instruments{ii},ys_init(strmatch(options.instruments{ii},M.endo_names,'exact')))
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end
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fprintf('evaluate_steady_state: The problem occured in the following equations: \n')
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fprintf('\t Equation(s): ')
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for ii=1:length(nan_indices)
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fprintf('%d, ',nan_indices(ii));
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end
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skipline()
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fprintf('evaluate_steady_state: If those initial values are not admissable, change them using an initval-block.\n')
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skipline(2)
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end
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info(1) = 84;
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info(2) = resids'*resids;
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return
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end
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if any(imag(ys(n_multipliers+1:end)))
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if options.debug
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fprintf('\nevaluate_steady_state: The steady state file computation for the Ramsey problem resulted in complex numbers.\n')
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fprintf('evaluate_steady_state: The steady state was computed conditional on the following initial instrument values: \n')
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for ii = 1:size(options.instruments,1)
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fprintf('\t %s \t %f \n',options.instruments{ii},ys_init(strmatch(options.instruments{ii},M.endo_names,'exact')))
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end
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fprintf('evaluate_steady_state: If those initial values are not admissable, change them using an initval-block.\n')
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skipline(2)
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end
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info(1) = 86;
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info(2) = resids'*resids;
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return
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end
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if max(abs(resids(n_multipliers+1:end))) > options.solve_tolf %does it solve for all variables except for the Lagrange multipliers
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if options.debug
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fprintf('\nevaluate_steady_state: The steady state file does not solve the steady state for the Ramsey problem.\n')
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fprintf('evaluate_steady_state: Conditional on the following instrument values: \n')
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for ii = 1:size(options.instruments,1)
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fprintf('\t %s \t %f \n',options.instruments{ii},ys_init(strmatch(options.instruments{ii},M.endo_names,'exact')))
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end
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fprintf('evaluate_steady_state: the following equations have non-zero residuals: \n')
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for ii=n_multipliers+1:M.endo_nbr
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if abs(resids(ii)) > options.solve_tolf
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fprintf('\t Equation number %d: %f\n',ii-n_multipliers, resids(ii))
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end
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end
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skipline(2)
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end
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info(1) = 85;
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info(2) = resids'*resids;
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return
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end
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end
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if options.debug
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infrow=find(isinf(ys_init));
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if ~isempty(infrow)
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fprintf('\nevaluate_steady_state: The initial values for the steady state of the following variables are Inf:\n');
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for iter=1:length(infrow)
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fprintf('%s\n',M.endo_names{infrow(iter)});
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end
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end
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nanrow=find(isnan(ys_init));
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if ~isempty(nanrow)
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fprintf('\nevaluate_steady_state: The initial values for the steady state of the following variables are NaN:\n');
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for iter=1:length(nanrow)
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fprintf('%s\n',M.endo_names{nanrow(iter)});
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end
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end
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end
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%either if no steady state file or steady state file without problems
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[ys,params,info] = dyn_ramsey_static(ys_init,M,options,oo);
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if info
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return
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end
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%check whether steady state really solves the model
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resids = evaluate_static_model(ys,exo_ss,params,M,options);
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n_multipliers=M.ramsey_eq_nbr;
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nan_indices_multiplier=find(isnan(resids(1:n_multipliers)));
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nan_indices=find(isnan(resids(n_multipliers+1:end)));
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if ~isempty(nan_indices)
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if options.debug
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fprintf('\nevaluate_steady_state: The steady state computation for the Ramsey problem resulted in NaNs.\n')
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fprintf('evaluate_steady_state: The steady state computation resulted in the following instrument values: \n')
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for i = 1:size(options.instruments,1)
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fprintf('\t %s \t %f \n',options.instruments{i},ys(strmatch(options.instruments{i},M.endo_names,'exact')))
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end
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fprintf('evaluate_steady_state: The problem occured in the following equations: \n')
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fprintf('\t Equation(s): ')
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for ii=1:length(nan_indices)
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fprintf('%d, ',nan_indices(ii));
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end
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skipline()
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end
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info(1) = 82;
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return
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end
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if ~isempty(nan_indices_multiplier)
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if options.debug
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fprintf('\nevaluate_steady_state: The steady state computation for the Ramsey problem resulted in NaNs in the auxiliary equations.\n')
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fprintf('evaluate_steady_state: The steady state computation resulted in the following instrument values: \n')
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for i = 1:size(options.instruments,1)
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fprintf('\t %s \t %f \n',options.instruments{i},ys(strmatch(options.instruments{i},M.endo_names,'exact')))
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end
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fprintf('evaluate_steady_state: The problem occured in the following equations: \n')
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fprintf('\t Auxiliary equation(s): ')
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for ii=1:length(nan_indices_multiplier)
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fprintf('%d, ',nan_indices_multiplier(ii));
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end
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skipline()
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end
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info(1) = 83;
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return
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end
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if max(abs(resids)) > options.solve_tolf %does it solve for all variables including the auxiliary ones
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if options.debug
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fprintf('\nevaluate_steady_state: The steady state for the Ramsey problem could not be computed.\n')
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fprintf('evaluate_steady_state: The steady state computation stopped with the following instrument values:: \n')
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for i = 1:size(options.instruments,1)
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fprintf('\t %s \t %f \n',options.instruments{i},ys(strmatch(options.instruments{i},M.endo_names,'exact')))
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end
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fprintf('evaluate_steady_state: The following equations have non-zero residuals: \n')
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for ii=1:n_multipliers
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if abs(resids(ii)) > options.solve_tolf/100
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fprintf('\t Auxiliary Ramsey equation number %d: %f\n',ii, resids(ii))
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end
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end
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for ii=n_multipliers+1:M.endo_nbr
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if abs(resids(ii)) > options.solve_tolf/100
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fprintf('\t Equation number %d: %f\n',ii-n_multipliers, resids(ii))
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end
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end
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skipline(2)
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end
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info(1) = 81;
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info(2) = resids'*resids;
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return
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end
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elseif steadystate_flag
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% explicit steady state file
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[ys,params,info] = evaluate_steady_state_file(ys_init,exo_ss,M, options,steadystate_check_flag);
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if size(ys,2)>size(ys,1)
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error('STEADY: steady_state-file must return a column vector, not a row vector.')
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end
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if info(1)
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return
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end
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elseif ~options.bytecode && ~options.block
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if ~options.linear
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% non linear model
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static_model = str2func([M.fname '.static']);
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[ys,check] = dynare_solve(@static_problem,...
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ys_init,...
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options, exo_ss, params,...
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M.endo_nbr,...
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static_model);
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if check && options.debug
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[ys,check,fvec,fjac] = dynare_solve(@static_problem,...
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ys_init,...
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options, exo_ss, params,...
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M.endo_nbr,...
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static_model);
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[infrow,infcol]=find(isinf(fjac) | isnan(fjac));
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if ~isempty(infrow)
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fprintf('\nSTEADY: The Jacobian at the initial values contains Inf or NaN. The problem arises from: \n')
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display_problematic_vars_Jacobian(infrow,infcol,M,ys_init,'static','STEADY: ')
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end
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problematic_equation = find(~isfinite(fvec));
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if ~isempty(problematic_equation)
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fprintf('\nSTEADY: numerical initial values or parameters incompatible with the following equations\n')
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disp(problematic_equation')
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fprintf('Please check for example\n')
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fprintf(' i) if all parameters occurring in these equations are defined\n')
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fprintf(' ii) that no division by an endogenous variable initialized to 0 occurs\n')
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end
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end
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else
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% linear model
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fh_static = str2func([M.fname '.static']);
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[fvec,jacob] = fh_static(ys_init,exo_ss, ...
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params);
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ii = find(~isfinite(fvec));
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if ~isempty(ii)
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ys=fvec;
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check=1;
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disp(['STEADY: numerical initial values or parameters incompatible with the following' ...
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' equations'])
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disp(ii')
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disp('Check whether your model is truly linear. Put "resid(1);" before "steady;" to see the problematic equations.')
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elseif isempty(ii) && max(abs(fvec)) > 1e-12
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ys = ys_init-jacob\fvec;
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resid = evaluate_static_model(ys,exo_ss,params,M,options);
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if max(abs(resid)) > 1e-6
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check=1;
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fprintf('STEADY: No steady state for your model could be found\n')
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fprintf('STEADY: Check whether your model is truly linear. Put "resid(1);" before "steady;" to see the problematic equations.\n')
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end
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else
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ys = ys_init;
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end
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if options.debug
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if any(any(isinf(jacob) | isnan(jacob)))
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[infrow,infcol]=find(isinf(jacob) | isnan(jacob));
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fprintf('\nSTEADY: The Jacobian contains Inf or NaN. The problem arises from: \n\n')
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for ii=1:length(infrow)
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fprintf('STEADY: Derivative of Equation %d with respect to Variable %s (initial value of %s: %g) \n',infrow(ii),deblank(M.endo_names(infcol(ii),:)),deblank(M.endo_names(infcol(ii),:)),ys_init(infcol(ii)))
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end
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fprintf('Check whether your model is truly linear. Put "resid(1);" before "steady;" to see the problematic equations.\n')
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end
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end
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end
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else
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% block or bytecode
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[ys,check] = dynare_solve_block_or_bytecode(ys_init,exo_ss, params, options, M);
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end
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if check
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info(1)= 20;
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%make sure ys contains auxiliary variables in case of problem with dynare_solve
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if length(M.aux_vars) > 0 && ~steadystate_flag
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if M.set_auxiliary_variables
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ys = h_set_auxiliary_variables(ys,exo_ss,params);
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end
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end
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resid = evaluate_static_model(ys,exo_ss,params,M,options);
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info(2) = resid'*resid ;
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if isnan(info(2))
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info(1)=22;
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end
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return
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end
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% If some equations are tagged [static] or [dynamic], verify consistency
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if M.static_and_dynamic_models_differ
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% Evaluate residual of *dynamic* model using the steady state
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% computed on the *static* one
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z = repmat(ys,1,M.maximum_lead + M.maximum_lag + 1);
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zx = repmat([exo_ss'], M.maximum_lead + M.maximum_lag + 1, 1);
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if options.bytecode
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[r, ~]= bytecode('dynamic','evaluate', z, zx, params, ys, 1);
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elseif options.block
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[r, oo.dr] = feval([M.fname '.dynamic'], z', zx, params, ys, M.maximum_lag+1, oo.dr);
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else
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iyv = M.lead_lag_incidence';
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iyr0 = find(iyv(:));
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xys = z(iyr0);
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r = feval([M.fname '.dynamic'], z(iyr0), zx, params, ys, M.maximum_lag + 1);
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end
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% Fail if residual greater than tolerance
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if max(abs(r)) > options.solve_tolf
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info(1) = 25;
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return
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end
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end
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if ~isreal(ys)
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info(1) = 21;
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info(2) = sum(imag(ys).^2);
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ys = real(ys);
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return
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end
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if ~isempty(find(isnan(ys)))
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info(1) = 22;
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info(2) = NaN;
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return
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end
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function [resids,jac] = static_problem(y,x,params,nvar,fh_static_model)
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[r,j] = fh_static_model(y,x,params);
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resids = r(1:nvar);
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jac = j(1:nvar,1:nvar);
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