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 Pricing and Hedging of Options in Finitely Elastic Markets

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Frey, Rüdiger
Abstract

Standard derivative pricing theory is based on the assumption of the market for the underlying asset being infinitely elastic. We relax this hypothesis and study if and how a large agent whose trades move prices can replicate the payoff of a derivative contract. Our analysis extends a prior work of Jarrow who has analyzed this question in a binomial setting to economies with continuous security trading. We characterize the solution to the hedge problem in terms of a nonlinear partial differential equation and provide results on existence and uniqueness of this equation. Simulations are used to compare the hedge ratio in our model to standard Black-Scholes strategies. Moreover, we discuss how standard option pricing theory can be extended to finitely elastic markets.

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: ftp://web.bgse.uni-bonn.de/pub/RePEc/bon/bonsfb/bonsfb372.pdf
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 372.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: pages
Date of creation: Jun 1996
Date of revision:
Handle: RePEc:bon:bonsfb:372

Contact details of provider:
Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=517

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

Related research
Keywords: market microstructure; feedback effects;

Other versions of this item:

Find related papers by JEL classification:
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. Hart, Oliver D, 1977. "On the Profitability of Speculation," The Quarterly Journal of Economics, MIT Press, vol. 91(4), pages 579-97, November. [Downloadable!] (restricted)
  2. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December. [Downloadable!] (restricted)
    Other versions:
  3. 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)
  4. Jarrow, Robert A., 1992. "Market Manipulation, Bubbles, Corners, and Short Squeezes," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(03), pages 311-336, September. [Downloadable!]
  5. Basak, Suleyman, 1995. "A General Equilibrium Model of Portfolio Insurance," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 8(4), pages 1059-90. [Downloadable!] (restricted)
  6. Platen, Eckhard & Martin Schweizer, 1994. "On Smile and Skewness," Discussion Paper Serie B 302, University of Bonn, Germany.
  7. Grossman, Sanford J, 1988. "An Analysis of the Implications for Stock and Futures Price Volatility of Program Trading and Dynamic Hedging Strategies," Journal of Business, University of Chicago Press, vol. 61(3), pages 275-98, July. [Downloadable!] (restricted)
    Other versions:
  8. Jarrow, Robert A., 1994. "Derivative Security Markets, Market Manipulation, and Option Pricing Theory," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(02), pages 241-261, June. [Downloadable!]
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. David Bakstein & Sam Howison, 2002. "A Risk-Neutral Parametric Liquidity Model for Derivatives," OFRC Working Papers Series 2002mf02, Oxford Financial Research Centre. [Downloadable!]
  2. K. Ronnie Sircar, George Papanicolaou, 1998. "General Black-Scholes models accounting for increased market volatility from hedging strategies," Applied Mathematical Finance, Taylor and Francis Journals, vol. 5(1), pages 45-82, March. [Downloadable!] (restricted)
  3. David Bakstein, 2001. "The Pricing of Derivatives in Illiquid Markets," OFRC Working Papers Series 2001mf05, Oxford Financial Research Centre. [Downloadable!]
Statistics
Access and download statistics

Did you know? RePEc also has a blog.

This page was last updated on 2009-10-29.

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.