You are an active investor in the securities market and you have established an investment portfolio of two stock A and B five years ago.

Required:

a) If your portfolio has provided you with returns of 9.7%, -6.2%, 12.1%, 11.5% and 13.3% over the past five years, respectively. Calculate the geometric average return of the portfolio for this period? (1 mark)?

b) Assume that expected return of the stock A in your portfolio is 14.6%. The risk premium on the stocks of the same industry are 5.8%, the risk-free rate of return is 5.9% and the inflation rate was 2.7. Calculate beta of this stock using Capital Asset Pricing Model (CAPM) (1 mark)?

c) Assume that you bought 200 stock B in your portfolio for total investment of $1200, now the market price of the stock is $75, the dividend paid for this stock is $2 each year. How much is the capital gain of this stock (1 mark)?

d) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio? (4 marks)

A

B

Expected return

12.5%

18.5%

Standard Deviation of return

15%

20%

Correlation of coefficient (p)

0.4