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The Use of the Control Variate Technique in Option Pricing

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  • Hull, John
  • White, Alan

Abstract

This paper presents a generalized version of the lattice approach to pricing options. It shows how the control variate technique can produce significant improvements in the efficiency of the approach. The control variate technique is illustrated using American puts on dividend and nondividend paying stocks.

Suggested Citation

  • Hull, John & White, Alan, 1988. "The Use of the Control Variate Technique in Option Pricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(03), pages 237-251, September.
  • Handle: RePEc:cup:jfinqa:v:23:y:1988:i:03:p:237-251_01
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    References listed on IDEAS

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    1. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1981. "A Re-examination of Traditional Hypotheses about the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 36(4), pages 769-799, September.
    2. Livingston, Miles B & Jain, Suresh K, 1982. " Flattening of Bond Yield Curves for Long Maturities," Journal of Finance, American Finance Association, vol. 37(1), pages 157-167, March.
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    Cited by:

    1. Leisen, Dietmar, 1996. "Pricing the American Put Option: A Detailed Convergence Analysis for Binomial Models," Discussion Paper Serie B 366, University of Bonn, Germany, revised Jul 1996.
    2. Beatriz Mota Aragón, 2011. "Capital Investments and Real Options: New Proposals," Revista de Administración, Finanzas y Economía (Journal of Management, Finance and Economics), Tecnológico de Monterrey, Campus Ciudad de México, vol. 5(1), pages 65-76.
    3. Norden, Lars, 2003. "Asymmetric option price distribution and bid-ask quotes: consequences for implied volatility smiles," Journal of Multinational Financial Management, Elsevier, pages 423-441.
    4. Ekvall, Niklas, 1996. "A lattice approach for pricing of multivariate contingent claims," European Journal of Operational Research, Elsevier, vol. 91(2), pages 214-228, June.
    5. Martzoukos, Spiros H. & Trigeorgis, Lenos, 2002. "Real (investment) options with multiple sources of rare events," European Journal of Operational Research, Elsevier, vol. 136(3), pages 696-706, February.
    6. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2003. "Are convertible bonds underpriced? An analysis of the French market," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 635-653, April.
    7. Chuang-Chang Chang & Jun-Biao Lin, 2010. "The valuation of multivariate contingent claims under transformed trinomial approaches," Review of Quantitative Finance and Accounting, Springer, vol. 34(1), pages 23-36, January.
    8. Hull, John & White, Alan, 1995. "The impact of default risk on the prices of options and other derivative securities," Journal of Banking & Finance, Elsevier, vol. 19(2), pages 299-322, May.
    9. Doriana Ruffino, 2014. "Resuscitating Businessman Risk: A Rationale for Familiarity-Based Portfolios," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(1), pages 107-130, January.
    10. Leisen, Dietmar P. J., 1998. "Pricing the American put option: A detailed convergence analysis for binomial models," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1419-1444, August.
    11. Doriana Ruffino, 2007. "Resuscitating The Businessman Risk: A Rationale For Familiarity-Based Portfolios," Boston University - Department of Economics - Working Papers Series WP2007-037, Boston University - Department of Economics.
    12. Zhongdi Cen & Anbo Le & Aimin Xu, 2012. "A Second-Order Difference Scheme for the Penalized Black–Scholes Equation Governing American Put Option Pricing," Computational Economics, Springer;Society for Computational Economics, vol. 40(1), pages 49-62, June.
    13. San-Lin Chung & Mark Shackleton, 2005. "On the use and improvement of Hull and White's control variate technique," Applied Financial Economics, Taylor & Francis Journals, pages 1171-1179.
    14. Kocagil, Ahmet E. & Eduardo, Benjamin E., 1996. "Impacts of new environmental standards on mining industry: The case of Peru," Resource and Energy Economics, Elsevier, vol. 18(3), pages 291-310, October.
    15. Engstrom, Malin & Norden, Lars, 2000. "The early exercise premium in American put option prices," Journal of Multinational Financial Management, Elsevier, pages 461-479.
    16. repec:eee:apmaco:v:321:y:2018:i:c:p:401-421 is not listed on IDEAS
    17. Campbell, Rachel A. & Kräussl, Roman, 2006. "Does patience pay? Empirical testing of the option to delay accepting a tender offer in the US banking sector," CFS Working Paper Series 2006/32, Center for Financial Studies (CFS).
    18. Frimpong, Samuel & Whiting, Jerry M, 1997. "Derivative mine valuation: strategic investment decisions in competitive markets," Resources Policy, Elsevier, vol. 23(4), pages 163-171, December.
    19. Dasheng Ji & B. Brorsen, 2011. "A recombining lattice option pricing model that relaxes the assumption of lognormality," Review of Derivatives Research, Springer, pages 349-367.
    20. Buckley, Adrian & Eijgenhuijsen, Hans, 1997. "A conceptual framework for evaluating foreign investments," Serie Research Memoranda 0008, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    21. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    22. Mark Broadie & Jérôme B. Detemple, 1996. "Recent Advances in Numerical Methods for Pricing Derivative Securities," CIRANO Working Papers 96s-17, CIRANO.

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