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function [imv,lowerimv,upperimv] = basket(stockprice,sigma,corr,weight,T,nsimula,r,strikes)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%compute the price of the basket option using monte carlo method
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
number=size(stockprice,2);                  %Number of stocks
A=chol(corr);                               %Cholesky decomposition of correlation                                      
B=zeros(nsimula,number);            %Application for data space
for i=1:nsimula
       B(i, = stockprice.*exp((r - (sigma.^2)/2)*T+sigma.*(A*randn(number,1))'*sqrt(T));
end
C=B*weight';                          
D=max(-C*ones(size(strikes,1),size(strikes,2))+ones(size(C,1),size(C,2))*strikes,0);
callprice=exp(-r*T)*mean(D);
lowercallprice=exp(-r*T)*(mean(D)-2*sqrt(var(D)/nsimula));
S0=stockprice*weight';
imv=blsimpv(S0,strikes,r,T,callprice,[],[],[],false);
lowerimv=blsimpv(S0,strikes,r,T,max(0,lowercallprice),[],[],[],false);
uppercallprice=exp(-r*T)*(mean(D)+2*sqrt(var(D)/nsimula));
upperimv=blsimpv(S0,strikes,r,T,uppercallprice,[],[],[],false);
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for strike=40:5:200
    x(strike)=strike;
    [y(strike),n(strike),q(strike)]=basket([120 100],[0.1 0.9],[1 -0.5;-0.5 1],[0.4 0.6],1,1000,0.05,strike);   
end
figure;
plot(x,y,'s',x,n,'s',x,q,'s');
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[ Last edited by dax071124 on 2012-10-17 at 20:32 ]
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