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Efficient Monte Carlo Pricing of Basket Options

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  • P. Pellizzari

    (University of Venice)

Abstract

Montecarlo methods can be used to price derivatives for which closed evaluation formulas are not available or difficult to derive. A drawback of the method can be its high computational cost, especially if applied to basket options, whose payoffs depend on more than one asset. This article presents two kinds of control variates to reduce variance of estimates, based on unconditional and conditional expectations of assets respectively. We apply the previous variance reduction methods to some basket options (Spread, Dual and Portfolio options), achieving in some case remarkable speed and accuracy in price estimation.

Suggested Citation

  • P. Pellizzari, 1998. "Efficient Monte Carlo Pricing of Basket Options," Finance 9801001, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpfi:9801001
    Note: Type of Document - Tex (OzTex for Mac); prepared on Macintosh 6100; to print on PostScript; pages: 10; figures: 1 (included)
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    References listed on IDEAS

    as
    1. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    2. Kemna, A. G. Z. & Vorst, A. C. F., 1990. "A pricing method for options based on average asset values," Journal of Banking & Finance, Elsevier, vol. 14(1), pages 113-129, March.
    3. Wilmott,Paul & Howison,Sam & Dewynne,Jeff, 1995. "The Mathematics of Financial Derivatives," Cambridge Books, Cambridge University Press, number 9780521497893.
    4. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    5. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-186, March.
    6. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Piergiacomo Sabino, 2009. "Efficient quasi-Monte simulations for pricing high-dimensional path-dependent options," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 32(1), pages 49-65, May.
    2. Su, Xia, 2006. "Hedging Basket Options by Using a Subset of Underlying Assets," Bonn Econ Discussion Papers 14/2006, University of Bonn, Bonn Graduate School of Economics (BGSE).
    3. Tommaso Paletta & Arturo Leccadito & Radu Tunaru, 2013. "Pricing and Hedging Basket Options with Exact Moment Matching," Papers 1312.4443, arXiv.org.
    4. 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.
    5. Hideharu Funahashi & Masaaki Kijima, 2013. "An Extension of the Chaos Expansion Approximation for the Pricing of Exotic Basket Options　," KIER Working Papers 857, Kyoto University, Institute of Economic Research.
    6. Giannopoulos, Kostas, 2008. "Nonparametric, conditional pricing of higher order multivariate contingent claims," Journal of Banking & Finance, Elsevier, vol. 32(9), pages 1907-1915, September.

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    More about this item

    Keywords

    Option pricing; Monte Carlo methods; Variance reduction; Basket options;
    All these keywords.

    JEL classification:

    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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