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Heterogeneous Basket Options Pricing Using Analytical Approximations

Author

Listed:
  • Georges Dionne

    (HEC Montreal, Canada)

  • Genevieve Gauthier

    (HEC Montreal, Canada)

  • Nadia Ouertani

    (LEFA, ISCAE Manouba University, Tunisia)

  • Nabil Tahani

    (York University, Canada)

Abstract

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

Suggested Citation

  • Georges Dionne & Genevieve Gauthier & Nadia Ouertani & Nabil Tahani, 2011. "Heterogeneous Basket Options Pricing Using Analytical Approximations," Multinational Finance Journal, Multinational Finance Journal, vol. 15(1-2), pages 47-85, March - J.
    • Handle: RePEc:mfj:journl:v:15:y:2011:i:1-2:p:47-85
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    References listed on IDEAS

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    Cited by:

    1. Ng, Andrew C.Y. & Li, Johnny Siu-Hang & Chan, Wai-Sum, 2013. "Pricing options on stocks denominated in different currencies: Theory and illustrations," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 339-354.
    2. Leccadito, Arturo & Paletta, Tommaso & Tunaru, Radu, 2016. "Pricing and hedging basket options with exact moment matching," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 59-69.

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    More about this item

    Keywords

    Basket Options; Options Pricing; Analytical Approximations; Monte Carlo Simulation;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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