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1. The risk free rate is currently 3%, market return is 9% Rate of return Standard deviation of return Beta Portfolio A 14.8%

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  1. Sharp ratio of portfolio

Portfolio A: .9077

Portfolio B: .848

Sharp ratio = Rate of return-risk free rate Standard Deviation of the return

Sharp ratio of portfolio A

Sharp ratio =

Rate of return-risk free rate Standard Deviation of the return

Rate of return =14.80%

Risk free rate = 3%

Standard deviation of the return =13%

Sharp ratio = php705nAZ.png

                        =.9077

                       

Sharp ratio of portfolio B

Sharp ratio =

Rate of return-risk free rate Standard Deviation of the return

Rate of return =13.60%

Risk free rate = 3%

Standard deviation of the return =12.50%

Sharp ratio = phpzUUBTk.png

                        =.848

  1. Treynor’s Ratio of Portfolio

Portfolio A: 8.4286

Portfolio B: 8.1538

Treynor’s Ratio = Rate of return-risk free rate Beta

Treynor’s Ratio for portfolio A

Rate of return =14.80%

Risk free rate = 3%

Beta =1.4

Treynor’s Ratio = (14.80 - 3) ÷ 1.4

                        = 8.4286

Treynor’s Ratio for portfolio B

Rate of return =13.60%

Risk free rate = 3%

Beta =1.3

Treynor’s Ratio = (13.60 - 3) ÷ 1.3

                        = 8.1538

  1. Jenson Measure for the portfolio

Portfolio A: 3.4

Portfolio B: 2.8

Jenson Measure = Rate of return – ((Risk free rate + Beta (Market return – Risk free rate)

Jenson Measure for Portfolio A

Rate of return =14.80%

Risk free rate = 3%

Beta =1.4

Market Return = 9%

Jenson Measure = 14.8% - (3% + 1.4(9% - 3%)

                             =14.8-11.4

                             = 3.4

Jenson Measure for Portfolio B

Rate of return =13.60%

Risk free rate = 3%

Beta =1.3

Market Return = 9%

Jenson Measure = 13.6% - (3% + 1.3(9% -3%)

                        =13.6-10.8

                        =2.8

  1. Selection of the portfolio

Portfolio

Sharp ratio

Treynor’s Ratio

Jenson Measure

Ratio

Rank

Ratio

Rank

Ratio

Rank

A

.9077

1

8.4286

1

3.4

1

B

.8480

2

8.1538

2

2.8

2

Since all measure rank portfolio A as rank 1, select portfolio A

Note: Sharp ratio, Treynor’s Ratio and Jenson Measure are higher the better.

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