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The mean monthly return on U.S. Treasury bills (T-bills) is 0.42%. The mean monthly return for an index of small stocks is 4.56%, with a standard deviation of 3.56%. What is the Sharpe measure for the index of small stocks?

A)

1.16%.

B)

16.56%.

C)

10.60%.



The Sharpe ratio measures excess return per unit of risk. (4.56 – 0.42) / 3.56 = 1.16%.

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Which of the following statements regarding the Sharpe ratio is most accurate? The Sharpe ratio measures:

A)
excess return per unit of risk.
B)
peakedness of a return distrubtion.
C)
total return per unit of risk.

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A portfolio has a return of 14.2% and a Sharpe’s measure of 3.52. If the risk-free rate is 4.7%, what is the standard deviation of returns?

A)
3.9%.
B)
2.6%.
C)
2.7%.

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A portfolio has a return of 14.2% and a Sharpe’s measure of 3.52. If the risk-free rate is 4.7%, what is the standard deviation of returns?

A)
3.9%.
B)
2.6%.
C)
2.7%.



Standard Deviation of Returns = (14.2% – 4.7%) / 3.52 = 2.6988.

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A portfolio of options had a return of 22% with a standard deviation of 20%. If the risk-free rate is 7.5%, what is the Sharpe ratio for the portfolio?

A)
0.568.
B)
0.725.
C)
0.147.



Sharpe ratio = (22% – 7.50%) / 20% = 0.725.

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A higher Sharpe ratio indicates:

A)
lower volatility of returns.
B)
a lower risk per unit of return.
C)
a higher excess return per unit of risk.

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A higher Sharpe ratio indicates:

A)
lower volatility of returns.
B)
a lower risk per unit of return.
C)
a higher excess return per unit of risk.



The Sharpe ratio is excess return (return ? Rf) per unit of risk (defined as the standard deviation of returns).

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