Question: Consider the following two stocks and T-Bill: Security Expected return Price Per Share rAB A 12% 30% $100 0.8 B 9% 20% $75 T-Bill 2%
Consider the following two stocks and T-Bill:
| Security | Expected return | Price Per Share | rAB | |
| A | 12% | 30% | $100 | 0.8 |
| B | 9% | 20% | $75 | |
| T-Bill | 2% | 0% |
| a. Suppose you buy 50 shares of stock A and 50 shares of stock B. What is the expected return of this portfolio and what is its standard deviation? | ||||||||||||||
| (Hint first calculate what fraction of your investment in A and in B). |
| b. Suppose that instead of buying 50 shares of stock A and 50 shares of stock B you decided to buy only 25 shares of stock A, 25 shares of stock B, | ||||||||||||||
| and with the rest of the money buy Treasury bills. What is the expected return of this portfolio and what is its standard deviation. | ||||||||||||||
| (Hint: use the result in (a) to calculate the standard deviation of a portfolio composed of half (A+B) and half in T-bill). Also, the risk of risk free rate is 0. |
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