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You are a conservative investor. You hold only a total market index mutual fund and Treasury-bills. Currently the market index has an expected return of
- You are a conservative investor. You hold only a total market index mutual fund and Treasury-bills. Currently the market index has an expected return of 10% and a standard deviation of 24% and the T-bills promise a 3% return. You are evaluating the desirability of three different portfolios, 100% in the market index, 75% in the index and 25% in T-bills, and 50% in each.
- What is the expected return and standard deviation of each of the three portfolios?
- What is the beta of each of the three portfolios?
- What is the risk premium on the index portfolio?
- What criterion would you use to choose between the three candidates?
- BONUS: What are the expected return, standard deviation, and beta of your portfolio if you have $100,000 of your own to invest and you borrow another $100,000 at the risk free rate so you can buy $200,000 of the market index? Use the table below for (A), (B) and (E)
| Expected Portfolio Return | Portfolio Standard Deviation | Portfolio Beta |
100% in Market Index 0% in Treasury-Bills | ? ? ? | ? ? ? | ? ? ? |
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75% in Market Index 25% in Treasury-Bills | ? ? ? | ? ? ? | ? ? ? |
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50% in Market Index 50% in Treasury-Bills | ? ? ? | ? ? ? | ? ? ? |
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+200% in Market Index -100% in Treasury-Bills | ? ? ? | ? ? ? | ? ? ? |
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