IDEAS home Printed from https://ideas.repec.org/a/taf/apmtfi/v20y2013i2p118-136.html
   My bibliography  Save this article

Stock Loans in Incomplete Markets

Author

Listed:
  • Matheus R. Grasselli
  • Cesar Gómez

Abstract

A stock loan is a contract whereby a stockholder uses shares as collateral to borrow money from a bank or financial institution. In Xia and Zhou (2007, Stock loans, Mathematical Finance, 17(2), pp. 307--317), this contract is modelled as a perpetual American option with a time-varying strike and analysed in detail within a risk-neutral framework. In this paper, we extend the valuation of such loans to an incomplete market setting, which takes into account the natural trading restrictions faced by the client. When the maturity of the loan is infinite, we use a time-homogeneous utility maximization problem to obtain an exact formula for the value of the loan fee to be charged by the bank. For loans of finite maturity, we characterize the fee using variational inequality techniques. In both cases, we show analytically how the fee varies with the model parameters and illustrate the results numerically.

Suggested Citation

  • Matheus R. Grasselli & Cesar Gómez, 2013. "Stock Loans in Incomplete Markets," Applied Mathematical Finance, Taylor & Francis Journals, vol. 20(2), pages 118-136, April.
  • Handle: RePEc:taf:apmtfi:v:20:y:2013:i:2:p:118-136
    DOI: 10.1080/1350486X.2012.660318
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/1350486X.2012.660318
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/1350486X.2012.660318?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. McWalter, Thomas A. & Ritchken, Peter H., 2022. "Black economic empowerment regulation and risk incentives," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    2. Kristoffer Glover & Hardy Hulley, 2022. "Short Selling With Margin Risk And Recall Risk," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 25(02), pages 1-33, March.
    3. McWalter, Thomas A. & Ritchken, Peter H., 2022. "On stock-based loans," Journal of Financial Intermediation, Elsevier, vol. 52(C).

    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:taf:apmtfi:v:20:y:2013:i:2:p:118-136. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAMF20 .

    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.