Use the following scenario analysis for stocks X and Y to answer the questions.
Bear | Normal | Bull | |
Market | Market | Market | |
Probability | 20.00% | 45.00% | 35.00% |
Stock X | -13.00% | 11.00% | 28.00% |
Stock Y | -26.00% | 16.00% | 46.00% |
Assume you have a $200,000 portfolio and you invest $75,000 in stock X and the remainder in stock Y. If the risk–free rate of return is 3.50%, and we assume that the standard deviation of the excess returns on the portfolio is 18%, what is the Sharpe Ratio for this portfolio formed from stocks X and Y?
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Sharpe ratio= (Expected return-Risk free Return)/standard deviation.
Expected return- in the image.
Risk free Return- given= 3.5%
standard deviation= 18%
SR= (15.87%-3.50%)/18%0
SR= 0.6872 (Answer)
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