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Option Implied Risk-Neutral Distributions and Implied Binomial Trees: A Literature Review

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  • Jackwerth, Jens Carsten

Abstract

In this selective literature review, we start by observing that in efficient markets, there is information incorporated in option prices that might help us to design option pricing models. To this end, we review the numerous methods of recovering risk-neutral probability distributions from option prices at one particular time to expiration and their applications. Next, we move beyond one time to expiration to the construction of implied binomial trees, which model the stochastic process of the underlying asset. Finally, we describe extensions of implied binomial trees, and other non-parametric methods.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 11634.

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Date of creation: 1999
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Publication status: Published in Journal of Derivatives 2.7(1999): pp. 66-82
Handle: RePEc:pra:mprapa:11634

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Keywords: Binomial Trees; Risk-Neutral;

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References

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  1. Karim Abadir & Michael Rockinger, . "Density-Embedding Functions," Discussion Papers 97/16, Department of Economics, University of York.
  2. Campa, Jose M. & Chang, P. H. Kevin & Reider, Robert L., 1998. "Implied exchange rate distributions: evidence from OTC option markets1," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 117-160, February.
  3. Campa, Jose Manuel & Chang, P H Kevin, 1996. "Arbitrage-Based Tests of Target-Zone Credibility: Evidence from ERM Cross-Rate Options," American Economic Review, American Economic Association, vol. 86(4), pages 726-40, September.
  4. Brenner, Menachem & Eom, Young Ho & Landskroner, Yoram, 1996. "Implied foreign exchange rates using options prices," International Review of Financial Analysis, Elsevier, vol. 5(3), pages 171-183.
  5. 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.
  6. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-51, October.
  7. Buchen, Peter W. & Kelly, Michael, 1996. "The Maximum Entropy Distribution of an Asset Inferred from Option Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(01), pages 143-159, March.
  8. Menachem Brenner & Young Ho Eom, 1997. "No-Arbitrage Option Pricing: New Evidence on the Validity of the Martingale Property," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-009, New York University, Leonard N. Stern School of Business-.
  9. Bookstaber, Richard M & McDonald, James B, 1987. "A General Distribution for Describing Security Price Returns," The Journal of Business, University of Chicago Press, vol. 60(3), pages 401-24, July.
  10. Banz, Rolf W & Miller, Merton H, 1978. "Prices for State-contingent Claims: Some Estimates and Applications," The Journal of Business, University of Chicago Press, vol. 51(4), pages 653-72, October.
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