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Allocation to Stock Allocation to Bond Portfolio Mean Portfolio Std Dev 0% 100% 10.0% 10.00% 25% 75% 11.25% 10.55% 50% 50% 12.50% 12.85% 75% 25%

Allocation to Stock

Allocation to Bond

Portfolio Mean

Portfolio Std Dev

0%

100%

10.0%

10.00%

25%

75%

11.25% 10.55%

50%

50%

12.50%

12.85%

75%

25%

13.75% 16.17%

100%

0%

15.0%

20.00%

Consider the set of portfolios that can be obtained by combining the stock and the bond from the table above. Please show your detailed calculations or provide arguments to support your answers. Assume the risk free rate is 4%.

a. What percentage of your wealth is allocated in the stock and bond at the minimum variance portfolio?

b. What percentage of your wealth is allocated in the stock and bond at the Sharpe -optimal portfolio?

c. Calculate the expected return and standard deviation for the Sharpe-optimal portfolio.

d. What is the smallest expected loss for this portfolio over the coming year with a probability of 2.5% using the VaR?

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