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A generalization of option pricing to price-limit markets

Author

Listed:
  • Jia-Hau Guo

    (National Chiao Tung University)

  • Lung-Fu Chang

    (National Taipei University of Business)

Abstract

This paper proposes an analytic solution for pricing options in markets with daily price limits. The Black–Scholes model is a nested case in which the daily price limit approaches infinity. Compared to the Black–Scholes model, our solution may solve the mispricing problem and could yield consistent results with existing numerical methods. Practitioners trading options in price-limit markets may resort to the finite difference method or Monte Carlo simulations. However, applying these numerical methods is often time consuming, thereby further illustrating the importance of an analytic solution.

Suggested Citation

  • Jia-Hau Guo & Lung-Fu Chang, 2020. "A generalization of option pricing to price-limit markets," Review of Derivatives Research, Springer, vol. 23(2), pages 145-161, July.
  • Handle: RePEc:kap:revdev:v:23:y:2020:i:2:d:10.1007_s11147-019-09160-1
    DOI: 10.1007/s11147-019-09160-1
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    References listed on IDEAS

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    1. Brennan, Michael J., 1986. "A theory of price limits in futures markets," Journal of Financial Economics, Elsevier, vol. 16(2), pages 213-233, June.
    2. Kim, Yong H. & Yagüe, José & Yang, J. Jimmy, 2008. "Relative performance of trading halts and price limits: Evidence from the Spanish Stock Exchange," International Review of Economics & Finance, Elsevier, vol. 17(2), pages 197-215.
    3. Leland, Hayne E, 1985. "Option Pricing and Replication with Transactions Costs," Journal of Finance, American Finance Association, vol. 40(5), pages 1283-1301, December.
    4. Kate Phylaktis & Manolis Kavussanos & Gikas Manalis, 1999. "Price Limits and Stock Market Volatility in the Athens Stock Exchange," European Financial Management, European Financial Management Association, vol. 5(1), pages 69-84, March.
    5. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    6. S. G. Kou & Hui Wang, 2004. "Option Pricing Under a Double Exponential Jump Diffusion Model," Management Science, INFORMS, vol. 50(9), pages 1178-1192, September.
    7. Pin‐Huang Chou & Mei‐Chen Lin & Min‐Teh Yu, 2003. "The effectiveness of coordinating price limits across futures and spot markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(6), pages 577-602, June.
    8. Kim, Kenneth & Rhee, S Ghon, 1997. "Price Limit Performance: Evidence from the Tokyo Stock Exchange," Journal of Finance, American Finance Association, vol. 52(2), pages 885-899, June.
    9. Yong H. Kim & J. Jimmy Yang, 2009. "Effect of Price Limits: Initial Public Offerings versus Seasoned Equities," International Review of Finance, International Review of Finance Ltd., vol. 9(3), pages 295-318, September.
    10. Shanker, Latha & Balakrishnan, Narayanaswamy, 2005. "Optimal clearing margin, capital and price limits for futures clearinghouses," Journal of Banking & Finance, Elsevier, vol. 29(7), pages 1611-1630, July.
    11. Henke, Harald & Voronkova, Svitlana, 2005. "Price limits on a call auction market: Evidence from the Warsaw Stock Exchange," International Review of Economics & Finance, Elsevier, vol. 14(4), pages 439-453.
    12. George, Thomas J. & Hwang, Chuan-Yang, 1995. "Transitory Price Changes and Price-Limit Rules: Evidence from the Tokyo Stock Exchange," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(2), pages 313-327, June.
    13. Hsieh, Ping-Hung & Kim, Yong H. & Yang, J. Jimmy, 2009. "The magnet effect of price limits: A logit approach," Journal of Empirical Finance, Elsevier, vol. 16(5), pages 830-837, December.
    14. Junhwa Ban & Hyeong In Choi & Hyejin Ku, 2000. "Valuation of European options in the market with daily price limit," Applied Mathematical Finance, Taylor & Francis Journals, vol. 7(1), pages 61-74.
    15. 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.
    16. Kim, Kenneth A. & Limpaphayom, Piman, 2000. "Characteristics of stocks that frequently hit price limits: Empirical evidence from Taiwan and Thailand," Journal of Financial Markets, Elsevier, vol. 3(3), pages 315-332, August.
    17. Kenneth A. Kim & Haixiao Liu & J. Jimmy Yang, 2013. "Reconsidering Price Limit Effectiveness," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 36(4), pages 493-518, December.
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    More about this item

    Keywords

    Daily price limit; Analytic solution; Local times; Backward equation; Characteristic function; Fast Fourier transform;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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