The Optima Mutual Fund has an expected return of 19.1% and a volatility of 21.5%. Optima claims

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The Optima Mutual Fund has an expected return of 19.1% and a volatility of 21.5%. Optima claims that no other portfolio offers a higher Sharpe ratio. Suppose this claim is true, and the risk-free interest rate is 4.7%.

a. What is Optima’s Sharpe Ratio?

b. If eBay’s stock has a volatility of 38.9% and an expected return of 9.3%, what must be its correlation with the Optima Fund?

c. If the eBay Fund has a correlation of 77% with the Optima Fund, what is the Sharpe ratio of the eBay Fund?

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Corporate Finance

ISBN: 9781292446318

6th Global Edition

Authors: Jonathan Berk, Peter DeMarzo

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