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Monte Carlo Pricing of American Options Using Nonparametric Regression

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Author Info
Pizzi Claudio (Universita' Ca' Foscari, Venice)
Pellizzari Paolo (universita' Ca' Foscari, Venice)

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Abstract

This paper provides an introduction to Monte Carlo algorithms for pricing American options written on multiple assets, with special emphasis on methods that can be applied in a multi-dimensional setting. Simulated paths can be used to estimate by nonparametric regression the continuation value of the option or the optimal exercise policy and the value functions can then be computed by backward induction. The flexibility of nonparametric regression allows to obtain accurate price estimates with remarkable speed. For illustrative purposes we price one- and two-dimensional American options.

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File URL: http://129.3.20.41/eps/fin/papers/0207/0207007.pdf
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Publisher Info
Paper provided by EconWPA in its series Finance with number 0207007.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 345 pages
Date of creation: 19 Aug 2002
Date of revision: 04 Mar 2003
Handle: RePEc:wpa:wuwpfi:0207007

Note: Type of Document - pdf; prepared on OzTeX on Macintosh; to print on Laser printer; pages: 345,395,4323247 ; figures: included
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Web page: http://129.3.20.41

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Related research
Keywords: Option pricing; American options; Monte Carlo; nonparametric regression;

Find related papers by JEL classification:
G - Financial Economics

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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  1. Boyle, Phelim & Broadie, Mark & Glasserman, Paul, 1997. "Monte Carlo methods for security pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1267-1321, June. [Downloadable!] (restricted)
  2. Boyle, Phelim P., 1988. "A Lattice Framework for Option Pricing with Two State Variables," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(01), pages 1-12, March. [Downloadable!]
  3. Huang, Jing-zhi & Subrahmanyam, Marti G & Yu, G George, 1996. "Pricing and Hedging American Options: A Recursive Integration Method," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 9(1), pages 277-300. [Downloadable!] (restricted)
  4. Barraquand, J?r?me & Martineau, Didier, 1995. "Numerical Valuation of High Dimensional Multivariate American Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(03), pages 383-405, September. [Downloadable!]
  5. Barone-Adesi, Giovanni & Whaley, Robert E, 1987. " Efficient Analytic Approximation of American Option Values," Journal of Finance, American Finance Association, vol. 42(2), pages 301-20, June. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  7. Geske, Robert & Johnson, Herb E, 1984. " The American Put Option Valued Analytically," Journal of Finance, American Finance Association, vol. 39(5), pages 1511-24, December. [Downloadable!] (restricted)
  8. Carr, Peter, 1998. "Randomization and the American Put," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 11(3), pages 597-626.
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