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Answer: 0.558
The Sharpe ratio is a measure used to evaluate the risk-adjusted performance of an investment. It is calculated by taking the difference between the expected return of the investment and the risk-free rate of return, and then dividing that difference by the standard deviation (volatility) of the investment's returns. The formula for the Sharpe ratio is: \[ \text{Sharpe Ratio} = \frac{\text{Expected Return of Portfolio} - \text{Risk-Free Rate}}{\text{Volatility of Returns of Portfolio}} \] Given the information from the file content: - Expected return of the portfolio: 8.7% - Risk-free rate of return: 2.0% - Volatility (standard deviation) of returns of the portfolio: 12.0% The calculation for the Sharpe ratio of the portfolio would be: \[ \text{Sharpe Ratio} = \frac{8.7\% - 2.0\%}{12.0\%} = \frac{6.7\%}{12.0\%} = 0.5583 \] This calculation results in a Sharpe ratio of approximately 0.558, which corresponds to option D in the provided choices. Hence, the correct answer is D.
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A financial analyst is evaluating the performance of a Mexican equities portfolio relative to the IPC Index. To determine the risk-adjusted return of the portfolio, the following data has been collected:
Calculate the Sharpe ratio for this portfolio.
A
0.036
B
0.047
C
0.389
D
0.558
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