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Suppose that you are appointed as a tenured professor and have a riskless stream of income with a present value of $2 million. The value

Suppose that you are appointed as a tenured professor and have a riskless stream of income with a present value of $2 million. The value of your current financial wealth in your savings account is $6 million. You are deciding a portfolio allocation between an S&P 500 index fund and Treasury bills for your financial portfolio. You are a mean-variance investor with a risk aversion of 8. The S&P 500 index funds Sharpe ratio is 0.54 and its volatility is 22%.

Which fraction of your financial wealth do you optimally invest in the S&P 500 index fund?

A.

40.91%

B.

59.09%

C.

29.75%

D.

70.25%

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