The following table shows the expected return (E(ri)), the standard deviation (si), the cor- relation with the
Question:
The following table shows the expected return (E(ri)), the standard deviation (si), the cor- relation with the market portfolio (ri,M), the market beta (bi), and the idiosyncratic risk expressed as a standard deviation (se,i), for a number of assets, namely, the risk-free asset, the market portfolio, and three risky stocks (1, 2, and 3). You can assume for this question that the CAPM holds.
Asset | expected return | standard deviation | cor- relation with the market portfolio | market beta | idiosyncratic risk expressed as a standard deviation |
Risk-free asset (rF ) | |||||
Market portfolio (M) | 10% | ||||
Stock 1 | 8% | 15% | 0.75 | ||
Stock 2 | 18% | 80% | 0.25 | ||
Stock3 | -4% | 7.5% | 0 |
(a) Fill in all the blanks in the table. Make sure you show your workings and the reasoning behind the numbers you obtain.
(b) Given that Stock 3 has a negative expected return, why would an investor buy it? Could Stock 3 be part of an efficient portfolio and why?
(c) Consider now a portfolio composed of the market M and stock 3. What weights should we assign to these two assets in order to obtain a riskless portfolio? What will be the expected return of this portfolio?
Stats Data and Models
ISBN: 978-0321986498
4th edition
Authors: Richard D. De Veaux, Paul D. Velleman, David E. Bock