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Multivariate option pricing using copulae

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  • Carole Bernard
  • Claudia Czado

Abstract

The complexity of financial products significantly increased in the past 10 years. In this paper, we investigate the pricing of basket options and more generally of complex exotic contracts depending on multiple indices. Our approach assumes that the underlying assets evolve as dependent GARCH(1, 1) processes. The dependence among the assets is modeled using a copula based on pair‐copula constructions. Unlike most previous studies on this topic, we do not assume that the dependence observed between historical asset prices is similar to the dependence under the risk‐neutral probability. The method is illustrated with US market data on basket options written on two or three international indices. Copyright © 2012 John Wiley & Sons, Ltd.

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  • Carole Bernard & Claudia Czado, 2013. "Multivariate option pricing using copulae," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 29(5), pages 509-526, September.
    • Handle: RePEc:wly:apsmbi:v:29:y:2013:i:5:p:509-526
    DOI: 10.1002/asmb.1934
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    Cited by:

    1. Dalla Valle, Luciana & De Giuli, Maria Elena & Tarantola, Claudia & Manelli, Claudio, 2016. "Default probability estimation via pair copula constructions," European Journal of Operational Research, Elsevier, vol. 249(1), pages 298-311.
    2. I. E. Okorie & A. C. Akpanta & J. Ohakwe & D. C. Chikezie & C. U. Onyemachi & M. C. Ugwu, 2021. "Modeling the Relationships Across Nigeria Inflation, Exchange Rate, and Stock Market Returns and Further Analysis," Annals of Data Science, Springer, vol. 8(2), pages 295-329, June.
    3. Kjersti Aas, 2016. "Pair-Copula Constructions for Financial Applications: A Review," Econometrics, MDPI, vol. 4(4), pages 1-15, October.
    4. Muhammad Suhail Rizwan & Muhammad Moinuddin & Barbara L’Huillier & Dawood Ashraf, 2018. "Does a one-size-fits-all approach to financial regulations alleviate default risk? The case of dual banking systems," Journal of Regulatory Economics, Springer, vol. 53(1), pages 37-74, February.

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