103 lines
2.9 KiB
Modula-2
103 lines
2.9 KiB
Modula-2
// This file replicates the estimation of the CIA model from
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// Frank Schorfheide (2000) "Loss function-based evaluation of DSGE models"
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// Journal of Applied Econometrics, 15, 645-670.
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// the data are the ones provided on Schorfheide's web site with the programs.
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// http://www.econ.upenn.edu/~schorf/programs/dsgesel.ZIP
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// You need to have fsdat.m in the same directory as this file.
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// This file replicates:
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// -the posterior mode as computed by Frank's Gauss programs
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// -the parameter mean posterior estimates reported in the paper
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// -the model probability (harmonic mean) reported in the paper
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// This file was tested with dyn_mat_test_0218.zip
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// the smooth shocks are probably stil buggy
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//
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// The equations are taken from J. Nason and T. Cogley (1994)
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// "Testing the implications of long-run neutrality for monetary business
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// cycle models" Journal of Applied Econometrics, 9, S37-S70.
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// Note that there is an initial minus sign missing in equation (A1), p. S63.
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//
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// Michel Juillard, February 2004
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options_.usePartInfo=0;
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var m P c e W R k d n l gy_obs gp_obs Y_obs P_obs y dA P2 c2;
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varexo e_a e_m;
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parameters alp bet gam mst rho psi del;
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alp = 0.33;
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bet = 0.99;
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gam = 0.003;
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mst = 1.011;
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rho = 0.7;
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psi = 0.787;
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del = 0.02;
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model ;
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dA = exp(gam+e_a);
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log(m) = (1-rho)*log(mst) + rho*log(m(-1))+e_m;
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-P/(c(+1)*P(+1)*m)+bet*P(+1)*(alp*exp(-alp*(gam+log(e(+1))))*k^(alp-1)*n(+1)^(1-alp)+(1-del)*exp(-(gam+log(e(+1)))))/(c2(+1)*P2(+1)*m(+1))=0;
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W = l/n;
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-(psi/(1-psi))*(c*P/(1-n))+l/n = 0;
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R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W;
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1/(c*P)-bet*P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)/(m*l*c(+1)*P(+1)) = 0;
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c+k = exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)+(1-del)*exp(-(gam+e_a))*k(-1);
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P*c = m;
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m-1+d = l;
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e = exp(e_a);
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y = k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a));
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gy_obs = dA*y/y(-1);
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gp_obs = (P/P(-1))*m(-1)/dA;
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Y_obs/Y_obs(-1) = gy_obs;
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P_obs/P_obs(-1) = gp_obs;
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P2 = P(+1);
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c2 = c(+1);
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end;
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steady_state_model;
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dA = exp(gam);
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gst = 1/dA;
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m = mst;
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khst = ( (1-gst*bet*(1-del)) / (alp*gst^alp*bet) )^(1/(alp-1));
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xist = ( ((khst*gst)^alp - (1-gst*(1-del))*khst)/mst )^(-1);
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nust = psi*mst^2/( (1-alp)*(1-psi)*bet*gst^alp*khst^alp );
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n = xist/(nust+xist);
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P = xist + nust;
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k = khst*n;
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l = psi*mst*n/( (1-psi)*(1-n) );
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c = mst/P;
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d = l - mst + 1;
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y = k^alp*n^(1-alp)*gst^alp;
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R = mst/bet;
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W = l/n;
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ist = y-c;
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q = 1 - d;
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e = 1;
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gp_obs = m/dA;
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gy_obs = dA;
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Y_obs = 1;
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P_obs = 1;
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P2 = P;
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c2 = c;
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end;
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shocks;
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var e_a; stderr 0.014;
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var e_m; stderr 0.005;
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end;
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steady(nocheck);
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stoch_simul(aim_solver, order=1, irf=0);
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benchmark = load(['fs2000_b1L1L' filesep 'Output' filesep 'fs2000_b1L1L_results']);
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threshold = 1e-8;
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if max(max(abs(benchmark.oo_.dr.ghx-oo_.dr.ghx) > threshold));
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error('error in ghx');
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elseif max(max(abs(benchmark.oo_.dr.ghu-oo_.dr.ghu) > threshold));
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error('error in ghy');
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end;
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