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Portfolio Management

% Naive MV Weights Comparasion

% Black-Litterman Min-Var Portfolio





% Naive Min-Var Portfolio




Min_Var_Ret =


Min_Var_Vol =


Min_Var_Ret_Naive =


Min_Var_Vol_Naive =


Create efficient frontier Markowitz

Taregt_Ret =linspace(Min_Var_Ret_Naive,max(Pi),20);
MV_Weights = zeros(Assets,Assets);
Port_Var = zeros(1,Assets);
Port_Ret = zeros(1,Assets);


for  i = 1:Max

MV_Weights(:,i) = Portfolio_Optimization(Pi,Covariance,Lambda,3,0,[],[],Taregt_Ret(i));

Port_Ret(i) =Pi’*MV_Weights(:,i);
Port_Var(i) = sqrt(MV_Weights(:,i)’*Covariance*MV_Weights(:,i));


area( Port_Var,MV_Weights’)
xlabel(‘Portfolio Volatility’ )
ylabel(‘Asset Allocation’ )
legend( ‘SPX  ‘ , ‘MEXBOL’, ‘CAC’ , ‘DAX’,'NKY’ , ‘HSI’, ‘AS51′,’KOSPI’, ‘NIFTY’ , ‘SHCOMP’ )

xlabel(‘Volatility’ )
ylabel(‘Returns’ )
title(‘Portfolio Frontier – Markowitz’)



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