function planner_objective_value = evaluate_planner_objective(M,options,oo) %function oo1 = evaluate_planner_objective(dr,M,oo,options) % computes value of planner objective function % % INPUTS % M: (structure) model description % options: (structure) options % oo: (structure) output results % % SPECIAL REQUIREMENTS % none % Copyright (C) 2007-2012 Dynare Team % % This file is part of Dynare. % % Dynare is free software: you can redistribute it and/or modify % it under the terms of the GNU General Public License as published by % the Free Software Foundation, either version 3 of the License, or % (at your option) any later version. % % Dynare is distributed in the hope that it will be useful, % but WITHOUT ANY WARRANTY; without even the implied warranty of % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the % GNU General Public License for more details. % % You should have received a copy of the GNU General Public License % along with Dynare. If not, see . dr = oo.dr; endo_nbr = M.endo_nbr; exo_nbr = M.exo_nbr; nstatic = M.nstatic; nspred = M.nspred; lead_lag_incidence = M.lead_lag_incidence; beta = get_optimal_policy_discount_factor(M.params,M.param_names); if options.ramsey_policy i_org = (1:M.orig_endo_nbr)'; else i_org = (1:M.endo_nbr)'; end ipred = find(lead_lag_incidence(M.maximum_lag,:))'; order_var = dr.order_var; LQ = true; Gy = dr.ghx(nstatic+(1:nspred),:); Gu = dr.ghu(nstatic+(1:nspred),:); gy(dr.order_var,:) = dr.ghx; gu(dr.order_var,:) = dr.ghu; if options.ramsey_policy && options.order == 1 && ~options.linear options.order = 2; options.qz_criterium = 1+1e-6; [dr,info] = stochastic_solvers(oo.dr,0,M,options,oo); Gyy = dr.ghxx(nstatic+(1:nspred),:); Guu = dr.ghuu(nstatic+(1:nspred),:); Gyu = dr.ghxu(nstatic+(1:nspred),:); Gss = dr.ghs2(nstatic+(1:nspred),:); gyy(dr.order_var,:) = dr.ghxx; guu(dr.order_var,:) = dr.ghuu; gyu(dr.order_var,:) = dr.ghxu; gss(dr.order_var,:) = dr.ghs2; LQ = false; end ys = oo.dr.ys; u = oo.exo_simul(1,:)'; [U,Uy,Uyy] = feval([M.fname '_objective_static'],ys,zeros(1,exo_nbr), ... M.params); Uyy = full(Uyy); [Uyygygy, err] = A_times_B_kronecker_C(Uyy,gy,gy,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); [Uyygugu, err] = A_times_B_kronecker_C(Uyy,gu,gu,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); [Uyygygu, err] = A_times_B_kronecker_C(Uyy,gy,gu,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); Wbar =U/(1-beta); Wy = Uy*gy/(eye(nspred)-beta*Gy); Wu = Uy*gu+beta*Wy*Gu; if LQ Wyy = Uyygygy/(eye(nspred*nspred)-beta*kron(Gy,Gy)); else Wyy = (Uy*gyy+Uyygygy+beta*Wy*Gyy)/(eye(nspred*nspred)-beta*kron(Gy,Gy)); end [Wyygugu, err] = A_times_B_kronecker_C(Wyy,Gu,Gu,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); [Wyygygu,err] = A_times_B_kronecker_C(Wyy,Gy,Gu,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); if LQ Wuu = Uyygugu+beta*Wyygugu; Wyu = Uyygygu+beta*Wyygygu; Wss = beta*Wuu*M.Sigma_e(:)/(1-beta); else Wuu = Uy*guu+Uyygugu+beta*(Wy*Guu+Wyygugu); Wyu = Uy*gyu+Uyygygu+beta*(Wy*Gyu+Wyygygu); Wss = (Uy*gss+beta*(Wuu*M.Sigma_e(:)+Wy*Gss))/(1-beta); end % initialize yhat1 at the steady state yhat1 = oo.steady_state; if options.ramsey_policy % initialize le Lagrange multipliers to 0 in yhat2 yhat2 = zeros(M.endo_nbr,1); yhat2(1:M.orig_endo_nbr) = oo.steady_state(1:M.orig_endo_nbr); end if ~isempty(M.endo_histval) % initialize endogenous state variable to histval if necessary yhat1(1:M.orig_endo_nbr) = M.endo_histval(1:M.orig_endo_nbr); if options.ramsey_policy yhat2(1:M.orig_endo_nbr) = M.endo_histval(1:M.orig_endo_nbr); end end yhat1 = yhat1(dr.order_var(nstatic+(1:nspred)),1)-dr.ys(dr.order_var(nstatic+(1:nspred))); yhat2 = yhat2(dr.order_var(nstatic+(1:nspred)),1)-dr.ys(dr.order_var(nstatic+(1:nspred))); u = oo.exo_simul(1,:)'; [Wyyyhatyhat1, err] = A_times_B_kronecker_C(Wyy,yhat1,yhat1,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); [Wuuuu, err] = A_times_B_kronecker_C(Wuu,u,u,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); [Wyuyhatu1, err] = A_times_B_kronecker_C(Wyu,yhat1,u,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); planner_objective_value(1) = Wbar+Wy*yhat1+Wu*u+Wyuyhatu1 ... + 0.5*(Wyyyhatyhat1 + Wuuuu+Wss); if options.ramsey_policy [Wyyyhatyhat2, err] = A_times_B_kronecker_C(Wyy,yhat2,yhat2,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); [Wyuyhatu2, err] = A_times_B_kronecker_C(Wyu,yhat2,u,options.threads.kronecker.A_times_B_kronecker_C); mexErrCheck('A_times_B_kronecker_C', err); planner_objective_value(2) = Wbar+Wy*yhat2+Wu*u+Wyuyhatu2 ... + 0.5*(Wyyyhatyhat2 + Wuuuu+Wss); end if ~options.noprint skipline() disp('Approximated value of planner objective function') disp([' - with initial Lagrange multipliers set to 0: ' ... num2str(planner_objective_value(2)) ]) disp([' - with initial Lagrange multipliers set to steady state: ' ... num2str(planner_objective_value(1)) ]) skipline() end