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Valuation by Approximation: A Comparison of Alternative Option Valuation Techniques

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Author Info
Geske, Robert
Shastri, Kuldeep
Abstract

The purpose of this paper is to compare a variety of approximation techniques for valuing contingent contracts when analytic solutions do not exist. The comparison is made with respect to the differences in both the approximation theory and the efficiency of the computation algorithms. The focus of the computational comparison is upon binomial and finite difference methods applied to option valuation models with one stochastic variable. However, many of the results would generalize to pricing corporate securities, and also to certain aspects of problems involving multiple stochastic variables.

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Publisher Info
Article provided by Cambridge University Press in its journal Journal of Financial and Quantitative Analysis.

Volume (Year): 20 (1985)
Issue (Month): 01 (March)
Pages: 45-71
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Handle: RePEc:cup:jfinqa:v:20:y:1985:i:01:p:45-71_01

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  2. Terry Marsh & Takao Kobayashi, 2001. "The Contributions of Professors Fischer Black, Robert Merton, and Myron Scholes to the Financial Services Industry," CIRJE F-Series CIRJE-F-120, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  3. Marsh, Terry A. & Takao Kobayashi, 1998. ""The Work of Fischer Black, Robert Merton, and Myron Scholes, and its Continuing Legacy"," CIRJE F-Series 98-F-4, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  4. Arantza Murillas, 2000. "Uncertainty and Real Options. Investment and Development of Fishing Resources (II)," BILTOKI 200002, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística). [Downloadable!]
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  6. Rachel A. Campbell & Roman Kräussl, 2006. "Does Patience Pay? Empirical Testing of the Option to Delay Accepting a Tender Offer in the U.S. Banking Sector," CFS Working Paper Series 2006/32, Center for Financial Studies. [Downloadable!]
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  8. Mark Broadie & Jérôme B. Detemple, 1996. "Recent Advances in Numerical Methods for Pricing Derivative Securities," CIRANO Working Papers 96s-17, CIRANO. [Downloadable!]
  9. Marc Chesney, Jean Lefoll, 1996. "Predicting premature exercise of an American put on stocks: theory and empirical evidence," European Journal of Finance, Taylor and Francis Journals, vol. 2(1), pages 21-39, March. [Downloadable!] (restricted)
  10. Gerald Buetow, Jr. & Joseph Albert, 1998. "The Pricing of Embedded Options in Real Estate Lease Contracts," Journal of Real Estate Research, American Real Estate Society, vol. 15(3), pages 253-266. [Downloadable!]
  11. Saman Majd & Robert S. Pindyck, 1987. "Time to Build, Option Value, and Investment Decisions," NBER Working Papers 1654, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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