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The implication of missing the optimal-exercise time of an American option

Listed author(s):
  • Chockalingam, Arun
  • Feng, Haolin
Registered author(s):

    The optimal-exercise policy of an American option dictates when the option should be exercised. In this paper, we consider the implications of missing the optimal exercise time of an American option. For the put option, this means holding the option until it is deeper in-the-money when the optimal decision would have been to exercise instead. We derive an upper bound on the maximum possible loss incurred by such an option holder. This upper bound requires no knowledge of the optimal-exercise policy or true price function. This upper bound is a function of only the option-holder’s exercise strategy and the intrinsic value of the option. We show that this result holds true for both put and call options under a variety of market models ranging from the simple Black–Scholes model to complex stochastic-volatility jump-diffusion models. Numerical illustrations of this result are provided. We then use this result to study numerically how the cost of delaying exercise varies across market models and call and put options. We also use this result as a tool to numerically investigate the relation between an option-holder’s risk-preference levels and the maximum possible loss he may incur when adopting a target-payoff policy that is a function of his risk-preference level.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377221714010121
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 243 (2015)
    Issue (Month): 3 ()
    Pages: 883-896

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    Handle: RePEc:eee:ejores:v:243:y:2015:i:3:p:883-896
    DOI: 10.1016/j.ejor.2014.12.011
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. Bauer, Rob & Cosemans, Mathijs & Eichholtz, Piet, 2009. "Option trading and individual investor performance," Journal of Banking & Finance, Elsevier, vol. 33(4), pages 731-746, April.
    2. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    3. Muthuraman, Kumar, 2008. "A moving boundary approach to American option pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3520-3537, November.
    4. Jin, Xing & Li, Xun & Tan, Hwee Huat & Wu, Zhenyu, 2013. "A computationally efficient state-space partitioning approach to pricing high-dimensional American options via dimension reduction," European Journal of Operational Research, Elsevier, vol. 231(2), pages 362-370.
    5. Stein, Elias M & Stein, Jeremy C, 1991. "Stock Price Distributions with Stochastic Volatility: An Analytic Approach," Review of Financial Studies, Society for Financial Studies, vol. 4(4), pages 727-752.
    6. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    7. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    8. 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.
    9. Finucane, Thomas J., 1997. "An empirical analysis of common stock call exercise: A note," Journal of Banking & Finance, Elsevier, vol. 21(4), pages 563-571, April.
    10. Peter Carr & Robert Jarrow & Ravi Myneni, 2008. "Alternative Characterizations Of American Put Options," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 5, pages 85-103 World Scientific Publishing Co. Pte. Ltd..
    11. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    12. Pool, Veronika Krepely & Stoll, Hans R. & Whaley, Robert E., 2008. "Failure to exercise call options: An anomaly and a trading game," Journal of Financial Markets, Elsevier, vol. 11(1), pages 1-35, February.
    13. Allen M. Poteshman & Vitaly Serbin, 2003. "Clearly Irrational Financial Market Behavior: Evidence from the Early Exercise of Exchange Traded Stock Options," Journal of Finance, American Finance Association, vol. 58(1), pages 37-70, February.
    14. Gurdip Bakshi & Nikunj Kapadia, 2003. "Delta-Hedged Gains and the Negative Market Volatility Risk Premium," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 527-566.
    15. Gerald H. L. Cheang & Carl Chiarella & Andrew Ziogas, 2013. "The representation of American options prices under stochastic volatility and jump-diffusion dynamics," Quantitative Finance, Taylor & Francis Journals, vol. 13(2), pages 241-253, January.
    16. Scott, Louis O., 1987. "Option Pricing when the Variance Changes Randomly: Theory, Estimation, and an Application," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(04), pages 419-438, December.
    17. Malin Engström, 2002. "A note on rational call option exercise," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 22(5), pages 471-482, May.
    18. Pressacco, Flavio & Gaudenzi, Marcellino & Zanette, Antonino & Ziani, Laura, 2008. "New insights on testing the efficiency of methods of pricing and hedging American options," European Journal of Operational Research, Elsevier, vol. 185(1), pages 235-254, February.
    19. Hull, John C & White, Alan D, 1987. " The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
    20. Longstaff, Francis A. & Santa-Clara, Pedro & Schwartz, Eduardo S., 2001. "Throwing away a billion dollars: the cost of suboptimal exercise strategies in the swaptions market," Journal of Financial Economics, Elsevier, vol. 62(1), pages 39-66, October.
    21. Diz, Fernando & Finucane, Thomas J, 1993. "The Rationality of Early Exercise Decisions: Evidence from the S&P 100 Index Options Market," Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 765-797.
    22. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
    23. Kathryn Barraclough & Robert E. Whaley, 2012. "Early Exercise of Put Options on Stocks," Journal of Finance, American Finance Association, vol. 67(4), pages 1423-1456, August.
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