Any admissible portfolio performance measure should satisfy four minimal conditions: it assigns zero performance to each reference portfolio and it is linear, continuous, and nontrivial. Such an admissible measure exists if and only if the securities market obeys the law of one price. A positive admissible measure exists if and only if there is no arbitrage. This article characterizes the (infinite) set of admissible performance measures. It is shown that performance evaluation is generally quite arbitrary. A mutual funddata set is also used to demonstrate how the measurement method developed here can be applied.
In this article, we measure and interpret the common “factors” that describe money market returns. Results are presented for both three‐and four‐factor models. We find that the three‐factor model explains, on average, 86 percent of the total variation in most money market returns while the four‐factor model explains, on average, 90 percent of this variation. Using mimicking portfolios, we provide an interpretation of the systematic risks represented by these factors.
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