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Efficient Monte Carlo Pricing of Basket Options

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Author Info
P. Pellizzari (University of Venice)

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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.

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Publisher Info
Paper provided by EconWPA in its series Finance with number 9801001.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 10 pages
Date of creation: 16 Jan 1998
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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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Web page: http://129.3.20.41

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Related research
Keywords: Option pricing; Monte Carlo methods; Variance reduction; Basket options;

Find related papers by JEL classification:
C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. 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. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-86, March. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. 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 637-54, May-June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Piergiacomo Sabino, 2009. "Efficient quasi-Monte simulations for pricing high-dimensional path-dependent options," Decisions in Economics and Finance, Springer, vol. 32(1), pages 49-65, May. [Downloadable!] (restricted)
  2. Xia Su, 2006. "Hedging Basket Options by Using a Subset of Underlying Assets," Bonn Econ Discussion Papers bgse14_2006, University of Bonn, Germany. [Downloadable!]
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