IDEAS home Printed from https://ideas.repec.org/a/wsi/afexxx/v07y2012i02ns2010495212500078.html
   My bibliography  Save this article

The Third Fundamental Theorem Of Asset Pricing

Author

Listed:
  • ROBERT JARROW

    (Johnson Graduate School of Management, Cornell University, Ithaca, NY, 14853, USA;
    Kamakura Corporation, USA)

Abstract

The importance of market efficiency to derivative pricing is not well understood. The purpose of this paper is to explain this connection using the third fundamental theorem of asset pricing. The third fundamental theorem of asset pricing characterizes the conditions under which an equivalent martingale probability measure exists in an economy. Noting that the existence of an equivalent martingale probability measure is both necessary and sufficient for the market being informationally efficient, we prove that in a complete market, the market being efficient is both necessary and sufficient for the validity of the risk neutral valuation methodology.

Suggested Citation

  • Robert Jarrow, 2012. "The Third Fundamental Theorem Of Asset Pricing," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 7(02), pages 1-11.
    • Handle: RePEc:wsi:afexxx:v:07:y:2012:i:02:n:s2010495212500078
    DOI: 10.1142/S2010495212500078
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S2010495212500078
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S2010495212500078?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gabriel Frahm, 2016. "Pricing And Valuation Under The Real-World Measure," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 1-39, February.
    2. Tai-Yuen Hon & Massoud Moslehpour & Kai-Yin Woo, 2021. "Review on Behavioral Finance with Empirical Evidence," Advances in Decision Sciences, Asia University, Taiwan, vol. 25(4), pages 15-41, December.
    3. Moawia Alghalith & Xu Guo & Wing-Keung Wong & Lixing Zhu, 2016. "A General Optimal Investment Model In The Presence Of Background Risk," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 1-8, March.
    4. Yannis G. Yatracos, 2015. "Information in stock prices and some consequences: A model-free approach," Papers 1501.07473, arXiv.org, revised Jun 2015.
    5. Yuan Hu & W. Brent Lindquist & Svetlozar T. Rachev & Frank J. Fabozzi, 2024. "Option Pricing Using a Skew Random Walk Binary Tree," JRFM, MDPI, vol. 17(4), pages 1-29, March.
    6. Yuan Hu & W. Brent Lindquist & Svetlozar T. Rachev & Frank J. Fabozzi, 2023. "Option pricing using a skew random walk pricing tree," Papers 2303.17014, arXiv.org.
    7. Gabriel Frahm & Alexander Jonen & Rainer Schüssler, 2019. "The Fundamental Theorems Of Asset Pricing And The Closed-End Fund Puzzle," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(05), pages 1-31, August.

    More about this item

    Keywords

    No arbitrage; completeness; no dominance; economic equilibrium; market efficiency; martingale measures; local martingales; G12; G13; G14;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:afexxx:v:07:y:2012:i:02:n:s2010495212500078. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/afe/afe.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.