This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

The Multinomial Option Pricing Model and Its Brownian and Poisson Limits

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Frank Milne () (Queen's University)
Dilip Madan (University of Maryland)
Hersh Shefrin (Santa Clara University)

Additional information is available for the following registered author(s):

Abstract

The Cox, Ross, and Rubinstein binomial model is generalized to the multinomial case. Limits are investigated and shown to yield the Black-Scholes formula in the case of continuous sample paths for a wide variety of complete market structures. In the discontinuous case a Merton-type formula is shown to result, provided jump probabilities are replaced by their corresponding Arrow-Debreu prices.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.econ.queensu.ca/working_papers/papers/qed_wp_1162.pdf
File Format: application/pdf
File Function: First version 1990
Download Restriction: no

Publisher Info
Paper provided by Queen's University, Department of Economics in its series Working Papers with number 1162.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 15 pages
Date of creation: Jan 1990
Date of revision:
Publication status: Published in The Review of Financial Studies, 1989 Volume 2, Number 2, pp. 251-265
Handle: RePEc:qed:wpaper:1162

Contact details of provider:
Postal: Kingston, Ontario, K7L 3N6
Phone: (613) 533-2250
Fax: (613) 533-6668
Email:
Web page: http://www.econ.queensu.ca/
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Mark Babcock).

Related research
Keywords: Multinomial; option; pricing; Brownian; Poisson;

Other versions of this item:

Find related papers by JEL classification:
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Merton, Robert C., 1977. "On the pricing of contingent claims and the Modigliani-Miller theorem," Journal of Financial Economics, Elsevier, vol. 5(2), pages 241-249, November. [Downloadable!] (restricted)
  2. Duffie, J Darrell & Huang, Chi-fu, 1985. "Implementing Arrow-Debreu Equilibria by Continuous Trading of Few Long-lived Securities," Econometrica, Econometric Society, vol. 53(6), pages 1337-56, November. [Downloadable!] (restricted)
  3. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144. [Downloadable!] (restricted)
    Other versions:
  4. 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)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Frank Milne & Dilip Madan, 1991. "Option Pricing With V. G. Martingale Components," Working Papers 1159, Queen's University, Department of Economics. [Downloadable!]
  2. Hranaiova, Jana & Tomek, William G., 2000. "Delivery Option In Futures Contracts And Basis Behavior At Contract Maturity," 2000 Annual meeting, July 30-August 2, Tampa, FL 21732, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association). [Downloadable!]
  3. Vladislav Kargin, 2003. "Lattice Option Pricing By Multidimensional Interpolation," Finance 0309003, EconWPA, revised 29 Oct 2004. [Downloadable!]
    Other versions:
  4. Hranaiova, Jana, 2000. "Delivery Options In Futures Contracts And Basis Behavior At Contract Maturity," 2000 Conference, April 17-18 2000, Chicago, Illinois 18936, NCR-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management. [Downloadable!]
  5. Mark Broadie & Jérôme B. Detemple, 1996. "Recent Advances in Numerical Methods for Pricing Derivative Securities," CIRANO Working Papers 96s-17, CIRANO. [Downloadable!]
Statistics
Access and download statistics

Did you know? You can create a compilation of all publications of a group of people, say alumni of a program, your students or memers of an association.

This page was last updated on 2009-12-4.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.