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The Incompleteness Problem of the APT Model
The Arbitrage Pricing Theory provides a theory to quantify risk and the reward for taking it. While the theory itself is sound from most perspectives, its empirical version is connected with several shortcomings. One extremely delicate problem arises because the set of observable asset returns rarel...
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Published in: | Computational economics 2011-08, Vol.38 (2), p.129-151 |
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description | The Arbitrage Pricing Theory provides a theory to quantify risk and the reward for taking it. While the theory itself is sound from most perspectives, its empirical version is connected with several shortcomings. One extremely delicate problem arises because the set of observable asset returns rarely has a history of complete observations. Traditionally, this problem has been solved by simply excluding assets without a complete set of observations from the analysis. Unfortunately, such a methodology may be shown to (i) lead for any fixed time period to selection bias in that only the largest companies will remain and (ii) lead to an asymptotically empty set containing no observations at all. This paper discusses some possible solutions to this problem and also provides a case study containing Swedish OMX data for demonstration. |
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subjects | APT Arbitrage Asset pricing Asymptotic methods Asymptotics Behavioral/Experimental Economics Bias Capital assets Computer Appl. in Social and Behavioral Sciences Credit market Datasets Derivatives Economic theory Economic Theory/Quantitative Economics/Mathematical Methods Economics Economics and Finance Financial engineering Financial models High-dimensional data Investments Investors Math Applications in Computer Science Mathematical finance Operations Research/Decision Theory Principal components Risk premiums Statistics/Econometrics Statistik Stochastic models Stock exchanges Studies |
title | The Incompleteness Problem of the APT Model |
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