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You are managing a risky portfolio with an expected return of 15%, a variance of 0.0784,...

You are managing a risky portfolio with an expected return of 15%, a variance of 0.0784, and a beta of 1.4. Suppose that the T-bill rate is 5% and the S&P500 stock index (as the market index) has an expected return of 10% and a variance of 0.04. Your client chose to invest 80% of her portfolio in your fund and the rest in a T-bill money market fund. What is the Sharpe ratio of your client’s portfolio?

A. 0.4466

B. 0.0571

C. 0.7145

D. 0.3571

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Answer #1

Sharpe ratio = Return on portfolio -- RFR / standard deviation of portfolio (S.D.)

RFR asset has S,D = 0

Corelation = 0

thats why S.D of portfolio = Weight of risky asset * S.D pf risky asset ( variance square root is S.D )

80% * 28% = 22.40 %

Sharpe ratio = 15% -- 5% / 22.40%

= 0.45 (excluding decimals ) = 0.4466 ( with decimals )

ANS . A

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