Has fminsearch too many parameters? - matlab

Question

I run this code in matlab to minimize the parameters of my function real_egarchpartial with fminsearch:
data = xlsread('return_cc_in.xlsx');
SPY = data(:,25);
dailyrange = xlsread('DR_in.xlsx');
drSPY= dailyrange(:,28);
startingVals = [mean(SPY); 0.041246; 0.70121; 0.05; 0.04; 0.45068; -0.1799; 1.0375; 0.06781; 0.070518];
T = size(SPY,1);
options = optimset('fminsearch');
options.Display = 'iter';
estimates = fminsearch(#real_egarchpartial, startingVals, options, SPY, drSPY);
[ll, lls, u]=real_egarchpartial(estimates, SPY, drSPY);
And I get this message:
Exiting: Maximum number of function evaluations has been exceeded
- increase MaxFunEvals option.
I put the original starting values. So I assumed they are corrects. I used fminsearch and not fmincon because my function hasn't constraints and with fminunc my function gets a lot of red messages.
the real_egarchpartial function is the following:
function [ll,lls,lh] = real_egarchpartial(parameters, data, x_rk)
mu = parameters(1);
omega = parameters(2);
beta = parameters(3);
tau1 = parameters(4);
tau2 = parameters(5);
gamma = parameters(6);
csi = parameters(7);
phi = parameters(8);
delta1 = parameters(9);
delta2 = parameters(10);
%Data and h are T by 1 vectors
T = size(data,1);
eps = data-mu;
lh = zeros(T,1);
h = zeros(T,1);
u = zeros(T,1);
%Must use a back Cast to start the algorithm
h(1)=var(data);
lh(1) = log(h(1));
z= eps/sqrt(h(1));
u(1) = rand(1);
lxRK = log(x_rk);
for t = 2:T;
lh(t) = omega + beta*lh(t-1) + tau1*z(t-1) + tau2*((z(t-1).^2)-1)+ gamma*u(t-1);
h(t)=exp(lh(t));
z = eps/sqrt(h(t));
end
for t = 2:T
u(t)= lxRK(t) - csi - phi*h(t) - delta1*z(t) - delta2*((z(t).^2)-1);
end
lls = 0.5*(log(2*pi) + lh + eps.^2./h);
ll = sum(lls);
Could someone explain what is wrong? Is there another function more efficient for my estimation? Any help will be appreciated! Thank you.