Changed the test files conformably to the latest commits related to the (stochastic) extended path approach.
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@ -15,7 +15,7 @@ sigma2 = 0.0001;
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external_function(name=mean_preserving_spread);
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model(block,bytecode);
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model;
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// Eq. n°1:
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efficiency = rho*efficiency(-1) + EfficiencyInnovation;
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@ -11,8 +11,8 @@ sigma = -0.06;
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gamma1 = 1.5;
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gamma2 = 0.5;
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model(block,bytecode,cutoff=0);
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y = delta * y(-1) + (1-delta)*y(+1)+sigma *(r - pie(+1)) + e_y;
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model(use_dll);
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y = delta * y(-1) + (1-delta)*y(+1)+sigma *(r - pie(+1)) + e_y;
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pie = alpha * pie(-1) + (1-alpha) * pie(+1) + kappa*y + e_pie;
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r = gamma1*pie+gamma2*y;
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end;
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@ -21,7 +21,7 @@ sigma2 = 0.0001;
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external_function(name=mean_preserving_spread);
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model(block,bytecode);
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model(use_dll);
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// Eq. n°1:
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efficiency = rho*efficiency(-1) + EfficiencyInnovation;
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@ -1,6 +1,6 @@
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@#define extended_path_version = 0
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@#define extended_path_version = 1
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var Capital, Output, Labour, Consumption, Efficiency, efficiency, ExpectedTerm, LM, LagrangeMultiplier;
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var Capital, Output, Labour, Consumption, Investment, Efficiency, efficiency, ExpectedTerm;
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varexo EfficiencyInnovation;
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@ -28,7 +28,7 @@ sigma2 = 0.001;
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external_function(name=mean_preserving_spread);
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model(block,bytecode,cutoff=0);
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model(use_dll);
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// Eq. n°1:
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efficiency = rho*efficiency(-1) + EfficiencyInnovation;
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@ -40,22 +40,19 @@ model(block,bytecode,cutoff=0);
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Output = Efficiency*(alpha*(Capital(-1)^psi)+(1-alpha)*(Labour^psi))^(1/psi);
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// Eq. n°4:
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Capital = max(Output-Consumption + (1-delta)*Capital(-1),(1-delta)*Capital(-1));
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Capital = max(Output-Consumption,0) + (1-delta)*Capital(-1);
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// Eq. n°5:
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((1-theta)/theta)*(Consumption/(1-Labour)) - (1-alpha)*(Output/Labour)^(1-psi);
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// Eq. n°6:
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(((Consumption^theta)*((1-Labour)^(1-theta)))^(1-tau))/Consumption - LagrangeMultiplier - ExpectedTerm(1);
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ExpectedTerm = beta*((((Consumption^theta)*((1-Labour)^(1-theta)))^(1-tau))/Consumption)*(alpha*((Output/Capital(-1))^(1-psi))+1-delta);
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// Eq. n°7:
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(Capital==(1-delta)*Capital(-1))*(Output-Consumption) + (1-(Capital==(1-delta)*Capital(-1)))*LM = 0;
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Investment = Capital - (1-delta)*Capital(-1);
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// Eq. n°8:
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(LM<0)*(LM+LagrangeMultiplier) + (1-(LM<0))*(LM-LagrangeMultiplier) = 0;
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// Eq. n°9:
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ExpectedTerm = beta*(((((Consumption^theta)*((1-Labour)^(1-theta)))^(1-tau))/Consumption)*(alpha*((Output/Capital(-1))^(1-psi))+(1-delta))-(1-delta)*LagrangeMultiplier);
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// Eq. n°8: (Euler equation, to be skipped if investment is on its lower bound)
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(Investment>0)*((((Consumption^theta)*((1-Labour)^(1-theta)))^(1-tau))/Consumption - ExpectedTerm(1)) + (1-(Investment>0))*(Output-Consumption);
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end;
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@ -98,7 +95,6 @@ end;
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steady;
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options_.maxit_ = 100;
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options_.stack_solve_algo = 4;
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simul(periods=4000);
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@ -2,9 +2,9 @@ function [ys, info] = rbcii_steadystate(ys, exogenous)
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% Steady state routine for rbc.mod (Business Cycle model with endogenous labour and CES production function)
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% AUTHOR(S)
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% AUTHOR(S)
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% stephane DOT adjemian AT univ DASH lemans DOT fr
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% frederic DOT karame AT univ DASH evry DOT fr
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% frederic DOT karame AT univ DASH evry DOT fr
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% Output_per_unit_of_Capital = (((1/beta)-1+delta)/alpha)^(1/(1-psi));
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% Consumption_per_unit_of_Capital = Output_per_unit_of_Capital - delta;
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@ -16,9 +16,9 @@ function [ys, info] = rbcii_steadystate(ys, exogenous)
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% SteadyStateCapital = SteadyStateLabour/Labour_per_unit_of_Capital;
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% SteadyStateOutput = Output_per_unit_of_Capital*SteadyStateCapital;
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% ShareOfCapital = alpha/(alpha+(1-alpha)*Labour_per_unit_of_Capital^psi);
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global M_
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info = 0;
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% Compute steady state ratios.
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@ -43,6 +43,7 @@ ys(1)=SteadyStateCapital;
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ys(2)=SteadyStateOutput;
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ys(3)=SteadyStateLabour;
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ys(4)=SteadyStateConsumption;
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ys(5)=M_.params(8);
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ys(7)=M_.params(1)*((((SteadyStateConsumption^M_.params(2))*((1-SteadyStateLabour)^(1-M_.params(2))))^(1-M_.params(3)))/SteadyStateConsumption)* ...
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ys(5)=ys(2)-ys(4);
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ys(6)=M_.params(8);
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ys(8)=M_.params(1)*((((SteadyStateConsumption^M_.params(2))*((1-SteadyStateLabour)^(1-M_.params(2))))^(1-M_.params(3)))/SteadyStateConsumption)* ...
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(M_.params(4)*((SteadyStateOutput/SteadyStateCapital)^(1-M_.params(5)))+1-M_.params(6));
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