Generalized Option Betas

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Husmann, Sven
Todorova, Neda
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2013
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Abstract

This paper extends the option betas presented by Cox and Rubinstein (1985) and Branger and Schlag (2007). In par- ticular, we show how the beta of the underlying asset affects both an option's covariance beta and its asset pricing beta. In contrast to Branger and Schlag (2007), the generalized option betas coincide if the options are evaluated according to the CAPM option pricing model of Husmann and Todorova (2011). The option betas are presented in terms of Black- Scholes option prices and are therefore easy to use in practice.

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Journal of Mathematical Finance

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3

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© 2013 The authors and SciRes. This is an Open Access article distributed under the terms of the Creative Commons Attribution 3.0 Unported (CC BY 3.0) License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Finance

Applied Mathematics

Banking, Finance and Investment

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