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Robust upper bounds for American put options

Author

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  • Ye Du
  • Shan Xue
  • Yanchu Liu

Abstract

In this paper, we develop robust and model‐free upper bounds for American put option prices. Our bounds have all of those appealing features of the upper bounds for European options provided in DeMarzo et al. (2016, Robust option pricing: Hannan and Blackwell meet Black and Scholes, Journal of Economic Theory, 410‐434) but cover more popular derivatives in practice. Numerical and empirical investigations illustrate the performance of our method.

Suggested Citation

  • Ye Du & Shan Xue & Yanchu Liu, 2019. "Robust upper bounds for American put options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(1), pages 3-14, January.
    • Handle: RePEc:wly:jfutmk:v:39:y:2019:i:1:p:3-14
    DOI: 10.1002/fut.21961
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    References listed on IDEAS

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    1. Giovanni Barone Adesi & Robert F. Engle & Loriano Mancini, 2014. "A GARCH Option Pricing Model with Filtered Historical Simulation," Palgrave Macmillan Books, in: Giovanni Barone Adesi (ed.), Simulating Security Returns: A Filtered Historical Simulation Approach, chapter 4, pages 66-108, Palgrave Macmillan.
    2. Jamie Alcock & Diana Auerswald, 2010. "Empirical tests of canonical nonparametric American option‐pricing methods," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 30(6), pages 509-532, June.
    3. Chung, San-Lin & Chang, Hsieh-Chung, 2007. "Generalized Analytical Upper Bounds for American Option Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 42(1), pages 209-227, March.
    4. Sergiu Hart & Andreu Mas-Colell, 2013. "A Simple Adaptive Procedure Leading To Correlated Equilibrium," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 2, pages 17-46, World Scientific Publishing Co. Pte. Ltd..
    5. Chen, Ren-Raw & Yeh, Shih-Kuo, 2002. "Analytical Upper Bounds for American Option Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(1), pages 117-135, March.
    6. Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.
    7. 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.
    8. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    9. David Hobson & Anthony Neuberger, 2017. "Model uncertainty and the pricing of American options," Finance and Stochastics, Springer, vol. 21(1), pages 285-329, January.
    10. DeMarzo, Peter M. & Kremer, Ilan & Mansour, Yishay, 2016. "Robust option pricing: Hannan and Blackwell meet Black and Scholes," Journal of Economic Theory, Elsevier, vol. 163(C), pages 410-434.
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