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You have $5,000 to invest. You've done some security analysis and generated the following data for three stocks and Treasury bills, including weights in the

You have $5,000 to invest. You've done some security analysis and generated the following data for three stocks and Treasury bills, including weights in the optimal risky portfolio (ORP) from doing Markowitz portfolio optimization:

Security Stock A Stock B Stock C T-bills
Expected return (%) 12 10 5 2
Variance 0.04 0.03 0.02 0
Beta 1.2 1.5 0.8 0
Weight in ORP (%) 59 18 23 0

If you want to achieve an expected return of 11% for the complete portfolio, how much money should you invest in stock B (in $)?

What is the ratio of the Sharpe ratio of the complete portfolio to the Sharpe ratio of the ORP?

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