78 lines
2.4 KiB
Modula-2
78 lines
2.4 KiB
Modula-2
//Tests Occbin with 2 constraints and redundant shocks
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// variables
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var a, c, i, k, lambdak;
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// innovations to shock processes
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varexo junk1 erra junk2;
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// parameters
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parameters ALPHA, DELTAK, BETA, GAMMAC, RHOA, PHI, PSI;
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model;
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# zkss = ((1/BETA-1+DELTAK)/ALPHA)^(1/(ALPHA-1));
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# zcss = -DELTAK*zkss + zkss^ALPHA;
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# ziss = DELTAK*zkss;
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# zuss = (zcss^(1-GAMMAC)-1)/(1-GAMMAC);
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# zvss = zuss/(1-BETA);
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/////////////////////////////////////////////////////////////////
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// 1.
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[name='Euler', bind = 'INEG']
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-exp(c)^(-GAMMAC)*(1+2*PSI*(exp(k)/exp(k(-1))-1)/exp(k(-1)))
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+ BETA*exp(c(1))^(-GAMMAC)*((1-DELTAK)-2*PSI*(exp(k(1))/exp(k)-1)*
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(-exp(k(1))/exp(k)^2)+ALPHA*exp(a(1))*exp(k)^(ALPHA-1))=
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-lambdak+BETA*(1-DELTAK)*lambdak(1);
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[name='Euler', relax = 'INEG']
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-exp(c)^(-GAMMAC) + BETA*exp(c(1))^(-GAMMAC)*(1-DELTAK+ALPHA*exp(a(1))*exp(k)^(ALPHA-1))=
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-lambdak+BETA*(1-DELTAK)*lambdak(1);
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// 2.
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[name='Budget constraint',bind = 'INEG']
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exp(c)+exp(k)-(1-DELTAK)*exp(k(-1))+PSI*(exp(k)/exp(k(-1))-1)^2=exp(a)*exp(k(-1))^(ALPHA) + junk1 + junk2;
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[name='Budget constraint',relax = 'INEG']
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exp(c)+exp(k)-(1-DELTAK)*exp(k(-1))=exp(a)*exp(k(-1))^(ALPHA) + junk1 + junk2;
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// 3.
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exp(i) = exp(k)-(1-DELTAK)*exp(k(-1));
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// 4.
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[name='investment',bind='IRR,INEG']
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(i - log(PHI*ziss)) = 0;
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[name='investment',relax='IRR']
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lambdak=0;
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[name='investment',bind='IRR',relax='INEG']
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(i - log(PHI*ziss)) = 0;
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// 5.
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a = RHOA*a(-1)+erra;
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end;
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occbin_constraints;
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name 'IRR'; bind i-steady_state(i)<log(PHI); relax lambdak<0; error_bind abs(i-steady_state(i)-log(PHI)); error_relax abs(lambdak-0);
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name 'INEG'; bind i-steady_state(i)<-0.000001; relax i-steady_state(i)>-0.000001; error_bind abs(i-steady_state(i)-0.000001); error_relax abs(i-steady_state(i)-0.000001);
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end;
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@#include "dynrbc_common.inc"
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orig_results=load(['dynrbc' filesep 'Output' filesep 'dynrbc_results.mat']);
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if max(max(abs(oo_.occbin.piecewise-orig_results.oo_.occbin.piecewise)))>1e-10
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error('Results do not match')
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end
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if max(max(abs(oo_.SmoothedShocks.erra-orig_results.oo_.SmoothedShocks.erra)))>1e-10
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error('SmoothedShocks do not match')
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end
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if max(max(abs(struct2array(oo_.SmoothedVariables)-struct2array(orig_results.oo_.SmoothedVariables))))>1e-10
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error('SmoothedShocks do not match')
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end
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if max(max(abs(oo_.Smoother.SteadyState-orig_results.oo_.Smoother.SteadyState)))>1e-10
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error('SmoothedShocks do not match')
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end
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