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FRM Part I · FRM Exam Part I · Fund Management

A hedge fund has a Sharpe ratio of 0.80, a return of 10%, and a risk-free rate of 2%. What is its standard deviation of returns?

Sharpe ratio equals excess return divided by standard deviation. Excess return is 10% minus 2%, or 8%. Dividing 8% by the Sharpe ratio of 0.80 gives a standard deviation of 10%.

  1. A10%Correct
  2. B8%
  3. C12.5%
  4. D6.4%

Explanation

Sharpe = (Rp - Rf)/sigma, so sigma = (10% - 2%)/0.80 = 10%. Dividing 10% by 0.8 gives 12.5%, which wrongly omits the risk-free rate.

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