Question
You are the manager for a $100 million portfolio, which may be invested in any combination of Asian stocks and U.S. as long as neither
You are the manager for a $100 million portfolio, which may be invested in any combination of Asian stocks and U.S. as long as neither security is sold short.
The following table provides estimates of risk and return for Asian and U.S. stocks:
| US | Asian |
Expected Return | 8% | 15% |
Standard Deviation | 12% | 20% |
Correlation between Asian and U.S. stocks = -0.25
1. What is the expected return and standard deviation of each of the following portfolios?
Portfolio # | Fraction in US | Fraction in Asian |
1 | 1 | 0 |
2 | .8 | .2 |
3 | .6 | .4 |
4 | .4 | .6 |
5 | .2 | .8 |
6 | 0 | 1 |
Suppose, in addition to investing in Asian and U.S. stocks, you can also invest (i.e. lend) at the risk free rate at 4% but you cannot borrow. Assume Optimal Portfolio weights are OPT(.55,.45)
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