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! ]

Market imperfections , equilibrium and arbitrage

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Elyès Jouini () (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS : UMR7534 - Université Paris Dauphine - Paris IX)

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

Abstract

The theory of asset pricing, which takes its roots in the Arrow-Debreu model, the Black and Scholes formula, has been famalized in a framework by Harrison and Kreps (1979), harrison and Pliska (1979) and Kreps (1981). In these models, securities markets are assumed to be frictionless. The main result is that a price process is arbitrage free (or, equivalently, compatible with some equilibrium) if and only if it is, when appropriately renormalized, a martingale for some equivalent probability measure. The theory of pricing by arbitrage floows from there. Contingent claims can be priced by taking their expected value with respect to an equivalent martingale measure. If this value is unique, the claim is said to be priced by arbitrage. The new probabilities can be interpreted as state prices or as the intertemporal marginal ratyes of substitution of an agent maximizing his expected utility. In this work, we will propose a general model that takes frictions into account.

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://halshs.archives-ouvertes.fr/docs/00/16/71/31/PDF/14-cime.pdf
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by HAL in its series Post-Print with number halshs-00167131_v1.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation: 2003
Date of revision:
Publication status: Published, Lecture notes on Mathematical Finance, 2003, W., 247-307
Handle: RePEc:hal:journl:halshs-00167131_v1

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00167131/en/
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/

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

Related research
Keywords: Market imperfections ; equilibrium; arbitrage;

Other versions of this item:

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. Philip H. Dybvig, 1987. "Inefficient Dynamic Portfolio Strategies or How to Throw Away a Million Dollars in the Stock Market," Cowles Foundation Discussion Papers 826R, Cowles Foundation, Yale University, revised Jan 1988. [Downloadable!]
    Other versions:
  2. Philip H. Dybvig & Chi-fu Huang, 1988. "Nonnegative Wealth, Absence of Arbitrage, and Feasible Consumption Plans," Cowles Foundation Discussion Papers 860, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  3. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September. [Downloadable!] (restricted)
  4. Dybvig, Philip H & Ross, Stephen A, 1982. "Portfolio Efficient Sets," Econometrica, Econometric Society, vol. 50(6), pages 1525-46, November. [Downloadable!] (restricted)
  5. Dybvig, Philip H, 1988. "Distributional Analysis of Portfolio Choice," Journal of Business, University of Chicago Press, vol. 61(3), pages 369-93, July. [Downloadable!] (restricted)
    Other versions:
  6. Aiyagari, S. Rao & Gertler, Mark, 1991. "Asset returns with transactions costs and uninsured individual risk," Journal of Monetary Economics, Elsevier, vol. 27(3), pages 311-331, June. [Downloadable!] (restricted)
    Other versions:
  7. Dybvig, Philip H & Ross, Stephen A, 1986. " Tax Clienteles and Asset Pricing," Journal of Finance, American Finance Association, vol. 41(3), pages 751-62, July. [Downloadable!] (restricted)
  8. Dybvig, Philip H & Ross, Stephen A, 1985. " The Analytics of Performance Measurement Using a Security Market Line," Journal of Finance, American Finance Association, vol. 40(2), pages 401-16, June. [Downloadable!] (restricted)
  9. Dumas, Bernard & Luciano, Elisa, 1991. " An Exact Solution to a Dynamic Portfolio Choice Problem under Transactions Costs," Journal of Finance, American Finance Association, vol. 46(2), pages 577-95, June. [Downloadable!] (restricted)
  10. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166. [Downloadable!] (restricted)
  11. 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)
  12. Constantinides, George M, 1986. "Capital Market Equilibrium with Transaction Costs," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 842-62, August. [Downloadable!] (restricted)
  13. Cantor, David G & Lippman, Steven A, 1983. "Investment Selection with Imperfect Capital Markets," Econometrica, Econometric Society, vol. 51(4), pages 1121-44, July. [Downloadable!] (restricted)
  14. Clark, Stephen A., 1993. "The valuation problem in arbitrage price theory," Journal of Mathematical Economics, Elsevier, vol. 22(5), pages 463-478. [Downloadable!] (restricted)
  15. Cantor, David G & Lippman, Steven A, 1995. "Optimal Investment Selection with a Multitude of Projects," Econometrica, Econometric Society, vol. 63(5), pages 1231-40, September. [Downloadable!] (restricted)
  16. Dybvig, Philip H & Ingersoll, Jonathan E, Jr, 1982. "Mean-Variance Theory in Complete Markets," Journal of Business, University of Chicago Press, vol. 55(2), pages 233-51, April. [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. Elyès Jouini, 1999. "Price Functionals with Bid-Ask Spreads: An Axiomatic Approach," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-038, New York University, Leonard N. Stern School of Business-. [Downloadable!]
    Other versions:
  2. Nikolai Dokuchaev, 2002. "Pricing rule based on non-arbitrage arguments for random volatility and volatility smile," Quantitative Finance Papers math/0205120, arXiv.org. [Downloadable!]
  3. Elyès Jouini, 2001. "Arbitrage and Control Problems in Finance. Presentation," Post-Print halshs-00167152_v1, HAL. [Downloadable!]
    Other versions:
Statistics
Access and download statistics

Did you know? You can import bibliographic info in various formats into you bibliographic tool, or just into your word processor. See under "publisher info" on each abstract page.

This page was last updated on 2009-12-8.

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.