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An Efficient Binomial Method for Pricing Asian Options

Author

Listed:
  • Kyoung-Sook Moon

    (Department of Mathematical Finance Gachon University, Gyeonggi-Do, Korea)

  • Yunju Jeong

    (Department of Mathematics Korea University, Seoul, Korea)

  • Hongjoong Kim

    (Department of Mathematics, Korea University, Seoul, Korea)

Abstract

We construct an efficient tree method for pricing path-dependent Asian options. The standard tree method estimates option prices at each node of the tree, while the proposed method defines an interval about each node along the stock price axis and estimates the average option price over each interval. The proposed method can be used independently to construct a new tree method, or it can be combined with other existing tree methods to improve the accuracy. Numerical results show that the proposed schemes show superiority in accuracy to other tree methods when applied to discrete forward-starting Asian options and continuous European or American Asian options.

Suggested Citation

  • Kyoung-Sook Moon & Yunju Jeong & Hongjoong Kim, 2016. "An Efficient Binomial Method for Pricing Asian Options," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(2), pages 151-164.
    • Handle: RePEc:cys:ecocyb:v:50:y:2016:i:2:p:151-164
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    References listed on IDEAS

    as
    1. Leif Andersen & Mark Broadie, 2004. "Primal-Dual Simulation Algorithm for Pricing Multidimensional American Options," Management Science, INFORMS, vol. 50(9), pages 1222-1234, September.
    2. Higham,Desmond J., 2004. "An Introduction to Financial Option Valuation," Cambridge Books, Cambridge University Press, number 9780521547574, September.
    3. P. Forsyth & K. Vetzal & R. Zvan, 2002. "Convergence of numerical methods for valuing path-dependent options using interpolation," Review of Derivatives Research, Springer, vol. 5(3), pages 273-314, October.
    4. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    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 637-654, May-June.
    6. Massimo Costabile & Ivar Massabó & Emilio Russo, 2006. "An adjusted binomial model for pricing Asian options," Review of Quantitative Finance and Accounting, Springer, vol. 27(3), pages 285-296, November.
    7. 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.
    8. Lyuu,Yuh-Dauh, 2002. "Financial Engineering and Computation," Cambridge Books, Cambridge University Press, number 9780521781718, September.
    9. Kyoung-Sook Moon & Hongjoong Kim, 2013. "A multi-dimensional local average lattice method for multi-asset models," Quantitative Finance, Taylor & Francis Journals, vol. 13(6), pages 873-884, May.
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    Cited by:

    1. Geoffrey M. Ngene & Catherine Anitha Manohar & Ivan F. Julio, 2020. "Overreaction in the REITs Market: New Evidence from Quantile Autoregression Approach," JRFM, MDPI, vol. 13(11), pages 1-28, November.

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    More about this item

    Keywords

    binomial tree method; cell averaging; Asian options.;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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