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Heterogeneous basket options pricing using analytical approximations

Georges Dionne (), Geneviève Gauthier (), Nadia Ouertani () and Nabil Tahani ()
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Geneviève Gauthier: HEC Montreal, Department of Decision Sciences
Nadia Ouertani: HEC Montreal, Canada Research Chair in Risk Management
Nabil Tahani: HEC Montreal, Canada Research Chair in Risk Management

No 06-1, Working Papers from HEC Montreal, Canada Research Chair in Risk Management

Abstract: This paper proposes the use of analytical approximations to price an heterogeneous basket option combining commodity prices, foreign currencies and zero-coupon bonds. We examine the performance of three moment matching approximations: inverse gamma, Edgeworth expansion around the lognormal and Johnson family distributions. Since there is no closed-form formula for basket options, we carry out Monte Carlo simulations to generate the benchmark values. We perform a simulation experiment on a whole set of options based on a random choice of parameters. Our results show that the lognormal and Johnson distributions give the most accurate results.

Keywords: Basket options; options pricing; analytical approximations; Monte Carlo simulation (search for similar items in EconPapers)
JEL-codes: C15 C16 G10 G13 (search for similar items in EconPapers)
Pages: 24 pages
Date: 2006-01-01
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Related works:
Journal Article: Heterogeneous Basket Options Pricing Using Analytical Approximations (2011) Downloads
Working Paper: Heterogeneous Basket Options Pricing Using Analytical Approximations (2006) Downloads
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