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A note on the pricing of multivariate contingent claims under a transformed-gamma distribution

Vitiello, L and Rebelo, I (2015) 'A note on the pricing of multivariate contingent claims under a transformed-gamma distribution.' Review of Derivatives Research, 18 (3). 291 - 300. ISSN 1380-6645

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Abstract

© 2015, Springer Science+Business Media New York. We develop a framework for pricing multivariate European-style contingent claims in a discrete-time economy based on a multivariate transformed-gamma distribution. In our model, each transformed-gamma distributed underlying asset depends on two terms: a idiosyncratic term and a systematic term, where the latter is the same for all underlying assets and has a direct impact on their correlation structure. Given our distributional assumptions and the existence of a representative agent with a standard utility function, we apply equilibrium arguments and provide sufficient conditions for obtaining preference-free contingent claim pricing equations. We illustrate the applicability of our framework by providing examples of preference-free contingent claim pricing models. Multivariate pricing models are of particular interest when payoffs depend on two or more underlying assets, such as crack and crush spread options, options to exchange one asset for another, and options with a stochastic strike price in general.

Item Type: Article
Subjects: H Social Sciences > HB Economic Theory
H Social Sciences > HG Finance
Divisions: Faculty of Social Sciences > Essex Business School
Faculty of Social Sciences > Essex Business School > Essex Finance Centre
Depositing User: Jim Jamieson
Date Deposited: 09 Oct 2015 10:12
Last Modified: 01 Feb 2019 15:15
URI: http://repository.essex.ac.uk/id/eprint/15234

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