// See fs2000.mod in the examples/ directory for details on the model var m P c e W R k d n l gy_obs gp_obs y dA; varexo e_a e_m; parameters alp bet gam mst rho psi del; alp = 0.33; bet = 0.99; gam = 0.003; mst = 1.011; rho = 0.7; psi = 0.787; del = 0.02; model(bytecode); dA = exp(gam+e_a); log(m) = (1-rho)*log(mst) + rho*log(m(-1))+e_m; -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)))))/(c(+2)*P(+2)*m(+1))=0; W = l/n; -(psi/(1-psi))*(c*P/(1-n))+l/n = 0; R = P*(1-alp)*exp(-alp*(gam+e_a))*k(-1)^alp*n^(-alp)/W; 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; c+k = exp(-alp*(gam+e_a))*k(-1)^alp*n^(1-alp)+(1-del)*exp(-(gam+e_a))*k(-1); P*c = m; m-1+d = l; e = exp(e_a); y = k(-1)^alp*n^(1-alp)*exp(-alp*(gam+e_a)); gy_obs = dA*y/y(-1); gp_obs = (P/P(-1))*m(-1)/dA; end; steady_state_model; dA = exp(gam); gst = 1/dA; m = mst; khst = ( (1-gst*bet*(1-del)) / (alp*gst^alp*bet) )^(1/(alp-1)); xist = ( ((khst*gst)^alp - (1-gst*(1-del))*khst)/mst )^(-1); nust = psi*mst^2/( (1-alp)*(1-psi)*bet*gst^alp*khst^alp ); n = xist/(nust+xist); P = xist + nust; k = khst*n; l = psi*mst*n/( (1-psi)*(1-n) ); c = mst/P; d = l - mst + 1; y = k^alp*n^(1-alp)*gst^alp; R = mst/bet; W = l/n; ist = y-c; q = 1 - d; e = 1; gp_obs = m/dA; gy_obs = dA; end; steady; f = dseries(kron([oo_.steady_state; oo_.exo_steady_state],ones(1,34))',2012Q3:2020Q4,[M_.endo_names ; M_.exo_names]); f_r = f; frng = 2015Q3:2016Q4; disp('computing the conditional forecast'); fplan = init_plan(frng); fplan = flip_plan(fplan, 'gy_obs', 'e_a', 'surprise', frng(1:5), 1.003 + [0.001 -0.002 0 0 0]); fplan = flip_plan(fplan, 'gp_obs', 'e_m', 'surprise', frng(1:5), 1.00797 + [0.005 0.005 0.005 0.005 0.005]); options_.simul.maxit = 20; options_.periods = 25; f = det_cond_forecast(fplan, f, frng); disp('computing the forecast using the shocks computed withe the conditional forecast'); fplan_r = init_plan(frng); fplan_r = basic_plan(fplan_r, 'e_a', 'surprise', frng(1:5), f.e_a(frng(1:5)).data); fplan_r = basic_plan(fplan_r, 'e_m', 'surprise', frng(1:5), f.e_m(frng(1:5)).data); f_r = det_cond_forecast(fplan_r, f_r, frng); e_r = f_r(frng(1:5)).data(:,1:M_.orig_endo_nbr) - f(frng(1:5)).data(:,1:M_.orig_endo_nbr); assert(max(max(abs(e_r))) < options_.dynatol.f,'Error in conditional forecats');