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Randomization and the American Put

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Author Info
Peter Carr (Morgan Stanley)
Abstract

While American calls on non-dividend paying stocks may be valued as European, there is no completely explicit exact solution for the values of American puts. We introduce a novel technique called randomization to value American puts and calls on dividend-paying stocks. This technique yields a new semi-explicit approximation for American option values in the Black Scholes model. Numerical results indicate that the approximation is both accurate and computationally efficient.

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Publisher Info
Paper provided by EconWPA in its series Finance with number 9610003.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 37 pages
Date of creation: 15 Oct 1996
Date of revision:
Handle: RePEc:wpa:wuwpfi:9610003

Note: Type of Document - LaTeX; prepared on UNIX Sparc TeX; to print on PostScript; pages: 37 ; figures: included. This paper shows how randomization can be used to value American options in the Black Scholes model.
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Web page: http://129.3.20.41

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Related research
Keywords: randomization; American options;

Find related papers by JEL classification:
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

References listed on IDEAS
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  1. Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring. [Downloadable!] (restricted)
  2. 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 637-54, May-June. [Downloadable!] (restricted)
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