The Optima Mutual Fund has an expected return of 19.5% and a volatility of 20.4%. Optima claims that no other portfolio offers a higher Sharpe ratio. Suppose this claim is true, and the risk-free interest rate is 5.5%. What is Optima’s Sharpe Ratio? If eBay’s stock has a volatility of 37.8% and an expected return of 9.3%, what must be its correlation with the Optima Fund? If the SubOptima Fund has a correlation of 85% with the Optima Fund, what is the Sharpe ratio of the SubOptima Fund?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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The Optima Mutual Fund has an expected return of 19.5% and a volatility of 20.4%. Optima claims that no other portfolio offers a higher Sharpe ratio. Suppose this claim is true, and the risk-free interest rate is 5.5%.

  1. What is Optima’s Sharpe Ratio?
  2. If eBay’s stock has a volatility of 37.8% and an expected return of 9.3%, what must be its correlation with the Optima Fund?
  3. If the SubOptima Fund has a correlation of 85% with the Optima Fund, what is the Sharpe ratio of the SubOptima Fund?
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