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The risk-free rate, average returns, standard deviations, and betas for three funds and the S&P 500 are given below: Fund Average returns Standard deviations Betas

The risk-free rate, average returns, standard deviations, and betas for three funds and the S&P 500 are given below:

Fund

Average returns

Standard deviations

Betas

A

21%

30%

1.4

B

30%

40%

1.2

C

18%

20%

0.8

S&P 500

15%

20%

1

rf

2%

a. What is the Treynor measure for portfolio A?

b. What is the M2 measure for portfolio B?

c. If these portfolios are subcomponents that make up part of a well-diversified portfolio, then portfolio _______ is preferred.

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