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Is the Arbitrage Pricing Theory Dead?

Authors: Sanjay K. Nawalkha;

Is the Arbitrage Pricing Theory Dead?

Abstract

Is the Arbitrage Pricing Theory dead? This paper addresses this question by deriving a multibeta representation theorem, which can price assets using arbitrary reference variables that are not the true factors. Under this theorem, the upper bound on pricing deviations depends upon the correlations not only between the reference variables and the factors but also between the reference variables and the residual risks. A new concept of a well-diversified variable is introduced, which though free of residual risk, may be less than perfectly correlated with the true factors. Well-diversified variables correlated with the factors play a key role in the pricing of assets, since these variables can replace the factors without any loss in pricing accuracy under all linear asset pricing theories. A set of corollaries to the multibeta representation theorem are derived, which are fatal for both the APT as well as the equilibrium APT. Both these theories lead to pricing of arbitrary reference variables, which allows rejection of these theories based on casual empiricism. Since Merton's ICAPM does not suffer from such arbitrary pricing, it represents a viable theoretical framework for the empirical multifactor asset pricing models, such as the 3-factor Fama and French model.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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