Clarify theoretical second moments for order=2
Eliminates warning message introduced in
4c8f3a89cc
Adds hint to approximation in table title and adds the information with
a reference to Kim/Kim/Schaumburg/Sims (2008) to manual.
closes #278
time-shift
parent
c85338f022
commit
1883eb092b
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@ -3161,7 +3161,7 @@ period(s). The periods must be strictly positive. Conditional variances are give
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decomposition provides the decomposition of the effects of shocks upon
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impact. The results are stored in
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@code{oo_.conditional_variance_decomposition}
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(@pxref{oo_.conditional_variance_decomposition}). The variance decomposition is only conducted, if theoretical moments are requested, i.e. using the @code{periods=0}-option. Currently, variance decompositions are only implemented for @code{order=1}. In case of @code{order=2}, Dynare will thus not display the variance decomposition based on a second order approximation, but on a first order approximation.
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(@pxref{oo_.conditional_variance_decomposition}). The variance decomposition is only conducted, if theoretical moments are requested, i.e. using the @code{periods=0}-option. In case of @code{order=2}, Dynare provides a second-order accurate approximation to the true second moments based on the linear terms of the second-order solution (see @cite{Kim, Kim, Schaumburg and Sims (2008)}).
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@item pruning
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Discard higher order terms when iteratively computing simulations of
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@ -3292,7 +3292,7 @@ in declaration order.
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@defvr {MATLAB/Octave variable} oo_.var
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After a run of @code{stoch_simul}, contains the variance-covariance of
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the endogenous variables. Contains theoretical variance if the
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@code{periods} option is not present, and empirical variance
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@code{periods} option is not present (or an approximation thereof for @code{order=2}), and empirical variance
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otherwise. The variables are arranged in declaration order.
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@end defvr
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@ -3303,7 +3303,7 @@ autocorrelation matrices of the endogenous variables. The element
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number of the matrix in the cell array corresponds to the order of
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autocorrelation. The option @code{ar} specifies the number of
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autocorrelation matrices available. Contains theoretical
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autocorrelations if the @code{periods} option is not present, and
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autocorrelations if the @code{periods} option is not present (or an approximation thereof for @code{order=2}), and
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empirical autocorrelations otherwise.
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The element @code{oo_.autocorr@{i@}(k,l)} is equal to the correlation
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@ -3338,6 +3338,8 @@ If a second order approximation has been requested, contains the
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vector of the mean correction terms.
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@end table
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In case of @code{order=2}, the theoretical second moments are a second order accurate approximation of the true second moments, see @code{conditional_variance_decomposition}.
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@end defvr
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@defvr {MATLAB/Octave variable} oo_.irfs
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@ -51,7 +51,11 @@ oo_.mean = m;
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oo_.var = oo_.gamma_y{1};
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if ~options_.noprint %options_.nomoments == 0
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title='THEORETICAL MOMENTS';
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if options_.order == 2
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title='APROXIMATED THEORETICAL MOMENTS';
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else
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title='THEORETICAL MOMENTS';
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end
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if options_.hp_filter
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title = [title ' (HP filter, lambda = ' num2str(options_.hp_filter) ')'];
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end
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@ -62,7 +66,7 @@ if ~options_.noprint %options_.nomoments == 0
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if M_.exo_nbr > 1 && size(stationary_vars, 1) > 0
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disp(' ')
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if options_.order == 2
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title='VARIANCE DECOMPOSITION (in percent), based on first order approximation';
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title='APPROXIMATED VARIANCE DECOMPOSITION (in percent)';
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else
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title='VARIANCE DECOMPOSITION (in percent)';
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end
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@ -97,7 +101,11 @@ if options_.nocorr == 0 && size(stationary_vars, 1) > 0
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corr = oo_.gamma_y{1}(i1,i1)./(sd(i1)*sd(i1)');
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if ~options_.noprint,
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disp(' ')
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title='MATRIX OF CORRELATIONS';
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if options_.order == 2
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title='APPROXIMATED MATRIX OF CORRELATIONS';
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else
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title='MATRIX OF CORRELATIONS';
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end
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if options_.hp_filter
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title = [title ' (HP filter, lambda = ' num2str(options_.hp_filter) ')'];
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end
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@ -115,7 +123,11 @@ if options_.ar > 0 && size(stationary_vars, 1) > 0
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end
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if ~options_.noprint,
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disp(' ')
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title='COEFFICIENTS OF AUTOCORRELATION';
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if options_.order == 2
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title='APPROXIMATED COEFFICIENTS OF AUTOCORRELATION';
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else
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title='COEFFICIENTS OF AUTOCORRELATION';
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end
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if options_.hp_filter
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title = [title ' (HP filter, lambda = ' num2str(options_.hp_filter) ')'];
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end
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@ -51,7 +51,7 @@ conditional_decomposition_array = conditional_variance_decomposition(StateSpaceM
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if options_.noprint == 0
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if options_.order == 2
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disp(' ')
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disp('CONDITIONAL VARIANCE DECOMPOSITION (in percent), based on first order approximation')
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disp('APPROXIMATED CONDITIONAL VARIANCE DECOMPOSITION (in percent)')
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else
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disp(' ')
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disp('CONDITIONAL VARIANCE DECOMPOSITION (in percent)')
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@ -122,7 +122,7 @@ end
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if options_.periods > 0 && ~PI_PCL_solver
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if options_.periods <= options_.drop
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disp(['STOCH_SIMUL error: The horizon of simulation is shorter' ...
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' than the number of observations to be DROPed'])
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' than the number of observations to be dropped'])
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options_ =options_old;
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return
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end
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@ -142,9 +142,6 @@ if options_.nomoments == 0
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elseif options_.periods == 0
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% There is no code for theoretical moments at 3rd order
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if options_.order <= 2
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if options_.order == 2
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warning('You have requested a second order approximation, but variance decompositions currently only allow for first order. Displaying decompositions at order=1 instead.')
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end
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disp_th_moments(oo_.dr,var_list);
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end
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else
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