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Question 11 5 Points 66 You have obtained the following data on the S&P 500 Index and T-Bills: 67 Period of time 1926 - 2015

Question 11

5 Points

66

You have obtained the following data on the S&P 500 Index and T-Bills:

67

Period of time

1926 - 2015

68

Average S&P Return

11.77%

69

Average Tbill Return

3.47%

70

Risk Premium

8.30%

71

SD of S&P

20.59%

72

Sharpe Ratio

0.4031

73

Portfolio Split 50/50 with risky and risk free

50%

74

You have a risk aversion coefficient where A =

4.0

75

The higher that A becomes, the more averse you are to risk.

76

This level of A will impact both your expected return and standard deviation of a portfolio.

What proportion of investment should be in the S&P 500 Index (y) ?

Proportion of Risky Portfolio (y) = (E(rp) - rf) / (A*Variance of Risky Portfolio)

49.94%

47.75%

48.94%

51.06%

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