Question

Assume that you are managing a risky portfolio with expected rate of return of 18% and standard deviation of 28%. The T-bill rate is 8%. Your client chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. Also, the client’s expected return of the portfolio is 15% and the standard deviation of the rate of return on his portfolio is 19.6%.

1. Suppose that your risky portfolio includes the following investments in the given proportions: Stock X 25%, Stock Y 32%, Stock Z 43%. What are the investment proportions of your client’s overall portfolio including the position in T-bills?

2. What is the reward-to-volatility ratio S of your risky portfolio? Calculate also this ratio for your client?

3.   Draw the CAL (capital allocation line) of your portfolio on an expected return–standard deviation diagram. Show the position of your client on your fund’s CAL.

4. Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%. What is the proportion y?

Answer 1

c.

Portfolio	return	std deviation
risk free	8	0
client porfolio	15	19.6
risky portfolio	18	28