Ms Alice is constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 14 percent and 12 percent, respectively. The standard deviations of the assets are 25 percent and 15 percent, respectively. The Beta of the assets are 1.92 and 1.27 respectively. The correlation between the two assets is 0.28 and the risk-free rate is 4 percent. The market portfolio return is 10%.

A

B

Expected Return

14

%

12

%

Std Dev

25

%

15

%

Beta

1.92

1.27

Corr(A,B)

0.28

(a)Ms Alice initially plan to make investment $25,000 in a portfolio, of which $10,000 will be invested in the asset A, and $15,000 will be invested in the asset B. According the information provided above, please calculate the Sharp ratio, Treynor ratio and Jensen's alpha for her portfolio. ( 8 marks)

(b)Suppose you are a professional financial consultant. Ms Alice wants to minimise her total risk and asks you to construct an minimiuum variance portfolio with two assets A and B. Please calculate the weights for this minimiuum variance portfolio.What is the Sharp ratio, Treynor ratio for this minimiuum variance portfolio ?Calculate the Jensen's alpha for this minimiuum variance portfolio. ( 12 marks)