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Portfilio 1 Security Amount Invested Expected Return Beta Security A $4000 9% .80 Security B $5000 12% 1.15 Security C $12000 14% .95 Security D

Portfilio 1

Security Amount Invested Expected Return Beta
Security A $4000 9% .80
Security B $5000 12% 1.15
Security C $12000 14% .95
Security D $8000 15%

1.23

Portfolio 2

Security A $3000 16% 1.22
Security B $11000 13% 1.54
Security C $9000 8% .87
Security D $6000 11% .81
Portfolio 3

Security A $15000 10% 1.72
Security B $12000 9% .81
Security C $3000 12% .72
Security D $2000 15% 1.54

Suppose that the risk-free rate is 5.5 percent, the return over a three-year period for each portfolio matches its expected return, and the portfolios have 3-year annual return standard deviations as follows:

Portfolio 1 22%

Portfolio 2 26%

Portfolio 3 18%

If you were restricted to selecting one of the three portfolios to invest all your money in, which should you choose based on that portfolio having the best ratio of excess return per unit of total risk as measured by its Sharpe ratio?

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