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On the analytical/numerical pricing of American put options against binomial tree prices

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  • Mark Joshi
  • Mike Staunton

Abstract

We compare the bias in binomial trees against that in certain analytical/numerical valuation techniques with which they disagree. We consider the CRR tree, the COS method and the Leisen--Reimer as well as the Prekopa--Szantai exponentially smoothed method. We conclude that the binomial trees are unbiased and that the exponentially smoothed method is biased.

Suggested Citation

  • Mark Joshi & Mike Staunton, 2012. "On the analytical/numerical pricing of American put options against binomial tree prices," Quantitative Finance, Taylor & Francis Journals, vol. 12(1), pages 17-20, December.
    • Handle: RePEc:taf:quantf:v:12:y:2012:i:1:p:17-20
    DOI: 10.1080/14697688.2011.649602
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    References listed on IDEAS

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    1. Leisen, Dietmar P. J., 1998. "Pricing the American put option: A detailed convergence analysis for binomial models," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1419-1444, August.
    2. Carr, Peter, 1998. "Randomization and the American Put," The Review of Financial Studies, Society for Financial Studies, vol. 11(3), pages 597-626.
    3. Hull, John & White, Alan, 1988. "The Use of the Control Variate Technique in Option Pricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(3), pages 237-251, September.
    4. Francine Diener & MARC Diener, 2004. "Asymptotics of the price oscillations of a European call option in a tree model," Mathematical Finance, Wiley Blackwell, vol. 14(2), pages 271-293, April.
    5. Dietmar Leisen & Matthias Reimer, 1996. "Binomial models for option valuation - examining and improving convergence," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(4), pages 319-346.
    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.
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    Cited by:

    1. Guillaume Leduc & Merima Nurkanovic Hot, 2020. "Joshi’s Split Tree for Option Pricing," Risks, MDPI, vol. 8(3), pages 1-26, August.

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