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An Empirical Comparison of Option‐Pricing Models in Hedging Exotic Options

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  • Yunbi An
  • Wulin Suo

Abstract

This paper examines the empirical performance of various option‐pricing models in hedging exotic options, such as barrier options and compound options. A practical and relevant testing approach is adopted to capture the essence of model risk in option pricing and hedging. Our results indicate that the exotic feature of the option under consideration has a great impact on the relative performance of different option‐pricing models. In addition, for any given model, the more “exotic” the option, the poorer the hedging effectiveness.

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  • Yunbi An & Wulin Suo, 2009. "An Empirical Comparison of Option‐Pricing Models in Hedging Exotic Options," Financial Management, Financial Management Association International, vol. 38(4), pages 889-914, December.
    • Handle: RePEc:bla:finmgt:v:38:y:2009:i:4:p:889-914
    DOI: 10.1111/j.1755-053X.2009.01060.x
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    1. Shawn D. Howton & Steven B. Perfect, 1998. "Currency and Interest-Rate Derivatives Use in US Firms," Financial Management, Financial Management Association, vol. 27(4), Winter.
    2. Melino, Angelo & Turnbull, Stuart M., 1995. "Misspecification and the pricing and hedging of long-term foreign currency options," Journal of International Money and Finance, Elsevier, vol. 14(3), pages 373-393, June.
    3. Galai, Dan, 1983. "The Components of the Return from Hedging Options against Stocks," The Journal of Business, University of Chicago Press, vol. 56(1), pages 45-54, January.
    4. Jason Fink, 2003. "An examination of the effectiveness of static hedging in the presence of stochastic volatility," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(9), pages 859-890, September.
    5. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    6. Backus, David & Foresi, Silverio & Zin, Stanley, 1998. "Arbitrage Opportunities in Arbitrage-Free Models of Bond Pricing," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(1), pages 13-26, January.
    7. T. Clifton Green & Stephen Figlewski, 1999. "Market Risk and Model Risk for a Financial Institution Writing Options," Journal of Finance, American Finance Association, vol. 54(4), pages 1465-1499, August.
    8. Branger, Nicole & Schlag, Christian, 2008. "Can Tests Based on Option Hedging Errors Correctly Identify Volatility Risk Premia?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(4), pages 1055-1090, December.
    9. Dimitris Psychoyios & George Skiadopoulos, 2006. "Volatility options: Hedging effectiveness, pricing, and model error," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(1), pages 1-31, January.
    10. 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.
    11. Christoffersen, Peter & Jacobs, Kris, 2004. "The importance of the loss function in option valuation," Journal of Financial Economics, Elsevier, vol. 72(2), pages 291-318, May.
    12. Carr, Peter & Wu, Liuren, 2007. "Stochastic skew in currency options," Journal of Financial Economics, Elsevier, vol. 86(1), pages 213-247, October.
    13. Hull, John & Suo, Wulin, 2002. "A Methodology for Assessing Model Risk and its Application to the Implied Volatility Function Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(2), pages 297-318, June.
    14. Bates, David S, 1996. "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 69-107.
    15. Bernd Engelmann & Matthias Fengler & Morten Nalholm & Peter Schwendner, 2006. "Static versus dynamic hedges: an empirical comparison for barrier options," Review of Derivatives Research, Springer, vol. 9(3), pages 239-264, November.
    16. Rolf Poulsen & Klaus Reiner Schenk-Hoppe & Christian-Oliver Ewald, 2009. "Risk minimization in stochastic volatility models: model risk and empirical performance," Quantitative Finance, Taylor & Francis Journals, vol. 9(6), pages 693-704.
    17. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    18. 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.
    19. Bernard Dumas & Jeff Fleming & Robert E. Whaley, 1998. "Implied Volatility Functions: Empirical Tests," Journal of Finance, American Finance Association, vol. 53(6), pages 2059-2106, December.
    20. Morten Nalholm & Rolf Poulsen, 2006. "Static hedging and model risk for barrier options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(5), pages 449-463, May.
    21. Mark Broadie & Paul Glasserman & Steven Kou, 1997. "A Continuity Correction for Discrete Barrier Options," Mathematical Finance, Wiley Blackwell, vol. 7(4), pages 325-349, October.
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    3. Bedendo, Mascia & Campolongo, Francesca & Joossens, Elisabeth & Saita, Francesco, 2010. "Pricing multiasset equity options: How relevant is the dependence function?," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 788-801, April.
    4. Gabriela Pesce & Florencia Verónica Pedroni & Etelvina Chávez & María de la Paz Moral & María Andrea Rivero, 2021. "Exotic options: conceptualization and evolution in the literature from a systematic review," Lecturas de Economía, Universidad de Antioquia, Departamento de Economía, issue 95, pages 231-275, July-Dece.
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    6. Baule, Rainer & Shkel, David, 2021. "Model risk and model choice in the case of barrier options and bonus certificates," Journal of Banking & Finance, Elsevier, vol. 133(C).

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