A portfolio manager is trying to calculate the best combination of three assets stock, bonds and commodities. From the past performance, he has calculated the following

Stock Bonds commodites

expected return 10% 3% 5%

Variance 215% 80% 150%

Standard deviation 147% 89% 122%

Corretion between stocks and bonds 0.25

Correlation between sock and commodities 0.5

Correlation between bonds and commodities 0.6

a. Calculate all expected returns and standard deviations of all portfolio combinations. Use 10% as the smallest unit of the combination, so for example the first combination will be stock 100%, Bonds 0% and Commodities 0%, second combination stock 100% Bonds 10%, Commodities 0% and so on.

b. Plot the efficient frontier for all combinations.