Johnson Inc. manages a growth portfolio of equity securities that has had a mean monthly return of 1.4% and a standard deviation of returns of 10.8%. Smith Inc. manages a blended equity and fixed income portfolio that has had a mean monthly return of 1.2% and a standard deviation of returns of 6.8%. The mean monthly return on Treasury bills has been 0.3%. Based on the Sharpe ratio, the:
A) |
Johnson and Smith portfolios have exhibited the same risk-adjusted performance. | |
B) |
performance of the Smith portfolio is preferable to the performance of the Johnson portfolio. | |
C) |
performance of the Johnson portfolio is preferable to the performance of the Smith portfolio. | |
The Sharpe ratio for the Johnson portfolio is (1.4 - 0.3)/10.8 = 0.1019.
The Sharpe ratio for the Smith portfolio is (1.2 - 0.3)/6.8 = 0.1324.
The Smith portfolio has the higher Sharpe ratio, or greater excess return per unit of risk. |