You are the portfolio manager for a mutual fund. Your fund has an expected return of 15% with a standard deviation of 24% and the T-bill rate is 3%.
Your client chooses to invest 60% of her retirement pension in your fund and the remaining 40% in T-bills.
a. What is the reward-to-volatility ratio (Sharpe ratio) of the fund?
b. What is the expected rate of return on your client’s portfolio?
c. What is the standard deviation of your client’s portfolio?
d. What is the reward-to-volatility ratio (Sharpe ratio) for your client’s portfolio?
Comment on your answer to part d compared to part a