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The Bias in Composite Performance Measures

Journal of Financial and Quantitative Analysis 1973 8(3), 505
Within the past decade, considerable progress has been made in measuring ex post portfolio performance. The two parameter risk-return dimension of investment performance as pioneered by Markowitz has been reduced to a single parameter which incorporates measures of both risk and return. Several different but related one-parameter measures of performance have been developed, notably by Sharpe [8], Treynor [11], and Jensen [3], and are commonly referred to as composite performance measures. Theoretically, the composite measures allow portfolios with different risks and returns to be compared directly.