IDEAS home Printed from https://ideas.repec.org/a/bla/mathfi/v30y2020i1p85-127.html
   My bibliography  Save this article

Convex duality and Orlicz spaces in expected utility maximization

Author

Listed:
  • Sara Biagini
  • Aleš Černý

Abstract

In this paper, we report further progress toward a complete theory of state‐independent expected utility maximization with semimartingale price processes for arbitrary utility function. Without any technical assumptions, we establish a surprising Fenchel duality result on conjugate Orlicz spaces, offering a new economic insight into the nature of primal optima and providing a fresh perspective on the classical papers of Kramkov and Schachermayer. The analysis points to an intriguing interplay between no‐arbitrage conditions and standard convex optimization and motivates the study of the fundamental theorem of asset pricing for Orlicz tame strategies.

Suggested Citation

  • Sara Biagini & Aleš Černý, 2020. "Convex duality and Orlicz spaces in expected utility maximization," Mathematical Finance, Wiley Blackwell, vol. 30(1), pages 85-127, January.
  • Handle: RePEc:bla:mathfi:v:30:y:2020:i:1:p:85-127
    DOI: 10.1111/mafi.12209
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/mafi.12209
    Download Restriction: no

    File URL: https://libkey.io/10.1111/mafi.12209?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
    ---><---

    Citations

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


    Cited by:

    1. Aleš Černý, 2020. "Semimartingale theory of monotone mean–variance portfolio allocation," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 1168-1178, July.
    2. Černý, Aleš & Czichowsky, Christoph & Kallsen, Jan, 2021. "Numeraire-invariant quadratic hedging and mean–variance portfolio allocation," LSE Research Online Documents on Economics 112612, London School of Economics and Political Science, LSE Library.
    3. Alev{s} v{C}ern'y & Christoph Czichowsky & Jan Kallsen, 2021. "Numeraire-invariant quadratic hedging and mean--variance portfolio allocation," Papers 2110.09416, arXiv.org, revised Jan 2023.
    4. Alev{s} v{C}ern'y, 2020. "The Hansen ratio in mean--variance portfolio theory," Papers 2007.15980, arXiv.org.

    More about this item

    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:bla:mathfi:v:30:y:2020:i:1:p:85-127. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0960-1627 .

    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.