Question regarding Stochastic Value Function Iteration

Hi Everyone, I am trying to solve a stochastic neoclassical-growth model with value function iteration. For some reason which I do not under stand, I get the following error message
if true
Subscript indices must either be real positive integers or logicals.
Error in valfun_stoch (line 22)
c = amat(j,1)*k0^alpha - k + (1-delta)*k0; % consumption
Error in fminbnd (line 119)
x= xf; fx = feval(funfcn,x,varargin{:});
Error in ericsims_vfi_stoch (line 54)
k1 = fminbnd(@valfun_stoch,kmin,kmax);
end
what does this error message with the incorrent matrix indexing mean? I looked it up but it was not clear to me in this context here...
The main code is as follows
if true
clear all;
close all;
tic
global v0 beta delta alpha kmat k0 a0 s kgrid amat prob
% set parameters
alpha = 0.33; % capital's share
beta = 0.95;
delta = 0.1; % depreciation rate (annual)
s=2;
tol = 0.01;
maxits = 300;
dif = tol+1000;
its=0;
kgrid = 4; % grid points + 1
% first solve for steady state
kstar = (alpha/(1/beta - (1-delta)))^(1/(1-alpha)) % steady state k
cstar = kstar^(alpha) - delta*kstar;
istar = delta*kstar;
ystar = kstar^(alpha);
kmin = 0.25*kstar; % minimum
kmax = 1.75*kstar; % maximum
grid = (kmax-kmin)/kgrid; % grid
kmat = kmin:grid:kmax
kmat = kmat';
[N,n] = size(kmat);
amat = [1; 1; 1]
prob=[1/3 1/3 1/3;
1/3 1/3 1/3;
1/3 1/3 1/3;
]
v0 = zeros(N,1);
while dif>tol & its < maxits
for j = 1:3
for i = 1:N
k0 = kmat(i,1);
a0 = amat(j,1);
k1 = fminbnd(@valfun_stoch,kmin,kmax);
v1(i,j) = -valfun_stoch(k1);
k11(i,j) = k1;
end
end
ggg = v1 - v0;
gg = vec(ggg);
dif = norm(v1 - v0)
v0 = v1;
its = its+1
end
toc
end
and the valfun_stoch function is defined as
if true
function val=valfun_stoch(k)
% This program gets the value function for a neoclassical growth model with
% no uncertainty and CRRA utility
global v0 beta delta alpha kmat amat prob k0 s kgrid
klo=max(sum(k>kmat),1); % identify the gridpoint that falls just below . .
%..the choice fork
khi=klo+1;
% do the interpolation
g = v0(klo,:) + (k-kmat(klo))*(v0(khi,:) - v0(klo,:))/(kmat(khi) - kmat(klo))
gg = interp1(kmat,v0,k,'linear')
c = amat(j,1)*k0^alpha - k + (1-delta)*k0; % consumption
if c<0
val = -8888888888888888-800*abs(c);
else
val = (1/(1-s))*(c^(1-s)-1) + beta*(gg*prob(j,:)')
end
val = -val; % make it negative since we're maximizing and code is to minimize.
end
If anyone has a clue that would be awesome, thanks a lot Cheers

回答(1 个)

The problem would appear to be the variable 'j' which you have in the line
c = amat(j,1)*k0^alpha - k + (1-delta)*k0; % consumption
The function 'valfun_stoch' does not know what its value is. You didn't make it a global variable and it doesn't carry over automatically from the for-loop where it is an index. The error message is a bit of an understatement, since the trouble is even more fundamental than not being "real positive integers or logicals". It is totally unknown to 'valfun_stoch'!

2 个评论

Hi Roger, thank you so much for the quick response!
I fixed it and I do not get this error anymore!
Now, I get another error which is obviously associated with 'fminbnd'.
The error looks like this
if true
Error using horzcat
CAT arguments dimensions are not consistent.
Error using horzcat
CAT arguments dimensions are not consistent.
end
Did you figure out why you were getting the error with 'fminbnd'? I'm having the same problem.

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