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Federal Reserve Bank of New York
Staff Reports
Arbitrage pricing theory
Gur Huberman
Zhenyu Wang
Abstract

Focusing on capital asset returns governed by a factor structure, the Arbitrage Pricing Theory (APT) is a one-period model, in which preclusion of arbitrage over static portfolios of these assets leads to a linear relation between the expected return and its covariance with the factors. The APT, however, does not preclude arbitrage over dynamic portfolios. Consequently, applying the model to evaluate managed portfolios is contradictory to the no-arbitrage spirit of the model. An empirical test of the APT entails a procedure to identify features of the underlying factor structure rather than merely a collection of mean-variance efficient factor portfolios that satisfies the linear relation.


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Gur Huberman & Zhenyu Wang, Arbitrage pricing theory, Federal Reserve Bank of New York, Staff Reports 216, 2005.
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Keywords: Arbitrage - Econometric models ; Stock - Prices ; Portfolio management
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