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General equilibrium and preference free model for pricing options under transformed gamma distribution
Author(s) -
Vitiello Luiz,
Poon SerHuang
Publication year - 2010
Publication title -
journal of futures markets
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.88
H-Index - 55
eISSN - 1096-9934
pISSN - 0270-7314
DOI - 10.1002/fut.20425
Subject(s) - mathematical economics , class (philosophy) , preference , simple (philosophy) , economics , econometrics , gamma distribution , distribution (mathematics) , derivative (finance) , mathematics , financial economics , computer science , microeconomics , statistics , philosophy , mathematical analysis , epistemology , artificial intelligence
The gamma class of distributions encompasses several important distributions, either as special or limiting cases or through simple transformations. Here we derived closed form and preference free European option pricing formulae for various (transformed) gamma distributions under the general equilibrium RNVR framework. The gamma class of distributions is used historically in hydrology for modelling natural events. Our models can be used to price derivatives associated with these natural phenomena, which will help to encourage greater risk sharing through financial securitization. Our pricing formulae are theoretically sound even if the underlyings and the derivative instruments are not (frequently) traded. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 30:409–431, 2010