Pricing an American Option by Approximating Its Early Exercise Boundary as a Multipiece Exponential Function
AbstractThis article proposes to price an American option by approximating its early exercise boundary as a multipiece exponential function. Closed form formulas are obtained in terms of the bases and exponents of the multipiece exponential function. It is demonstrated that a three-point extrapolation scheme has the accuracy of an 800-time-step binomial tree, but is about 130 times faster. An intuitive argument is given to indicate why this seemingly crude approximation works so well. Our method is very simple and easy to implement. Comparisons with other leading competing methods are also included. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.
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Bibliographic InfoArticle provided by Society for Financial Studies in its journal Review of Financial Studies.
Volume (Year): 11 (1998)
Issue (Month): 3 ()
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- 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.
- Chung, San-Lin & Hung, Mao-Wei & Wang, Jr-Yan, 2010. "Tight bounds on American option prices," Journal of Banking & Finance, Elsevier, vol. 34(1), pages 77-89, January.
- Jun Cheng & Jin Zhang, 2012. "Analytical pricing of American options," Review of Derivatives Research, Springer, vol. 15(2), pages 157-192, July.
- San-Lin Chung & Mark Shackleton, 2003. "The simplest American and Real Option approximations: Geske-Johnson interpolation in maturity and yield," Applied Economics Letters, Taylor & Francis Journals, vol. 10(11), pages 709-716.
- Chiarella, Carl & Ziogas, Andrew, 2005.
"Evaluation of American strangles,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 29(1-2), pages 31-62, January.
- Carl Chiarella & Andrew Ziogas, 2002. "Evaluation of American Strangles," Computing in Economics and Finance 2002 28, Society for Computational Economics.
- Carl Chiarella & Andrew Ziogas, 2002. "Evaluation of American Strangles," Research Paper Series 83, Quantitative Finance Research Centre, University of Technology, Sydney.
- Jérôme B. Detemple & Carlton Osakwe, 1999. "The Valuation of Volatility Options," CIRANO Working Papers 99s-43, CIRANO.
- Saikat Nandi & Daniel F. Waggoner, 2000. "Issues in hedging options positions," Economic Review, Federal Reserve Bank of Atlanta, issue Q1, pages 24-39.
- Axel Kind, 2005. "Pricing American-Style Options By Simulation," Financial Markets and Portfolio Management, Springer, vol. 19(1), pages 109-116, June.
- Manuel Moreno & Javier R. Navas, 2001.
"On the robustness of least-squares Monte Carlo (LSM) for pricing American derivatives,"
Economics Working Papers
543, Department of Economics and Business, Universitat Pompeu Fabra.
- Manuel Moreno & Javier Navas, 2003. "On the Robustness of Least-Squares Monte Carlo (LSM) for Pricing American Derivatives," Review of Derivatives Research, Springer, vol. 6(2), pages 107-128, May.
- de Paula, Áureo, 2009.
"Inference in a synchronization game with social interactions,"
Journal of Econometrics,
Elsevier, vol. 148(1), pages 56-71, January.
- Aureo de Paula, 2004. "Inference in a Synchronization Game with Social Interactions," PIER Working Paper Archive 07-017, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 May 2007.
- Alfredo Ibáñez, 2003. "Robust Pricing of the American Put Option: A Note on Richardson Extrapolation and the Early Exercise Premium," Management Science, INFORMS, vol. 49(9), pages 1210-1228, September.
- Luca Barzanti & Corrado Corradi & Martina Nardon, 2006. "On the efficient application of the repeated Richardson extrapolation technique to option pricing," Working Papers 147, Department of Applied Mathematics, Università Ca' Foscari Venezia.
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- Antonella Basso & Martina Nardon & Paolo Pianca, 2004. "A two-step simulation procedure to analyze the exercise features of American options," Decisions in Economics and Finance, Springer, vol. 27(1), pages 35-56, 08.
- João Nunes, 2011. "American options and callable bonds under stochastic interest rates and endogenous bankruptcy," Review of Derivatives Research, Springer, vol. 14(3), pages 283-332, October.
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