| | The standard deviation of the market-index portfolio is 20%. Stock A has a beta of 1.5 and a residual standard deviation of 30%.
a. What would make for a larger increase in the stock’s variance: an increase of .15 in its beta or an increase of 3% (from 30% to 33%) in its residual standard deviation?
b. An investor who currently holds the market-index portfolio decides to reduce the portfolio allocation to the market index to 90% and to invest 10% in stock A. Which of the changes in (a) will have a greater impact on the portfolio’s standard deviation?
|
| | Market index portfolio standard deviation |
| | Stock A beta |
| | Stock A standard deviation |
| | Change in beta |
| | Change in standard deviation |
| Solution |
| | a. |
| | | Base case variance | | | | 0.00% |
| | | Variance from beta change | | | - 0 | 0.00% |
| | | Variance from st. dev. Change | | | 0% | 0.00% |