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You have decided to invest in three mutual funds: one in equities, one in long corporate and government bonds, and a money market fund invested
You have decided to invest in three mutual funds: one in equities, one in long corporate and government bonds, and a money market fund invested in T-bills yielding 7%. Your estimate of the relevant parameters for the equities and bond funds are as follows:
| Expected Return | Standard Deviation |
Equities | .18 | .28 |
Bonds | .08 | .12 |
The correlation between the fund returns is 0.15.
E(Re) = 18% (e) = 28% P(e,b) = 0.15
E(Rb) = 8% (b) = 12% Rf = 7%
- Determine the weights of the minimum-variance portfolio of the two risky funds, and its expected return and standard deviation.
- Determine the weights of the optimal risky portfolio of the two risky funds, and its expected return and standard deviation.
- Determine the best feasible CAL and calculate its reward-to-volatility ratio.
- Without the money market fund, what would be the weights of a portfolio on the best feasible CAL, composed of the equities and bond funds which would be expected to return 12%, and what would be its standard deviation?
- Finally, adding the money market fund to your risky portfolio, determine the weights of a portfolio yielding 12% overall, and calculate its standard deviation.
- Compare the portfolios in #4 and #5. Is this consistent with what you would expect when adding the T-bill money market fund as essentially the risk-free asset?
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