Portfolio P
Market M
Average return
35%
28%
Beta
1.20
1.00
Standard deviation
42%
30%
Tracking error
(nonsystematic risk), s (e)
18%
0
Calculate the following performance measures for portfolio P and the market: Sharpe, Jensen (alpha),
Treynor, information ratio. The T-bill rate during the period was 6%. By which measures did portfolio
P outperform the market?
CONCEPT CHECK
24.2
11
John R. Graham and Campbell R. Harvey, “Market Timing Ability and Volatility Implied in Investment Advi-
sors’ Asset Allocation Recommendations,” National Bureau of Economic Research Working Paper 4890, October
1994. The part of this paper dealing with volatility-adjusted returns was ultimately published as “Grading the
Performance of Market Timing Newsletters,”
Financial Analysts Journal
53 (November/December 1997),
pp. 54–66. Franco Modigliani and Leah Modigliani, “Risk-Adjusted Performance,” Journal of Portfolio Manage-
ment, Winter 1997, pp. 45–54.
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Applied Portfolio Management
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