IDEAS home Printed from https://ideas.repec.org/a/eee/quaeco/v98y2024ics106297692400125x.html
   My bibliography  Save this article

Bank insolvency risk, Z-score measures and unimodal returns: A refinement

Author

Listed:
  • Mercadier, Mathieu
  • Strobel, Frank

Abstract

We develop refined probability bounds for bank insolvency risk measures based on the Z-score, analogous to those given by Cantelli’s inequality under the additional assumption of unimodality of returns, drawing on the one-sided Vysochanskii-Petunin inequality. Illustrating empirically for US banks, we argue that (i) unimodality of returns is not an overly restrictive assumption in this context, and (ii) the refined measures provide a less conservative alternative to insolvency probability bounds drawing on the (two-sided) Vysochanskii-Petunin inequality, particularly for banks with higher levels of insolvency risk.

Suggested Citation

  • Mercadier, Mathieu & Strobel, Frank, 2024. "Bank insolvency risk, Z-score measures and unimodal returns: A refinement," The Quarterly Review of Economics and Finance, Elsevier, vol. 98(C).
    • Handle: RePEc:eee:quaeco:v:98:y:2024:i:c:s106297692400125x
    DOI: 10.1016/j.qref.2024.101919
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S106297692400125X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.qref.2024.101919?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.

    More about this item

    Keywords

    Bank; Insolvency risk; Z-score; Unimodality; One-sided Vysochanskii-Petunin inequality;
    All these keywords.

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions

    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:eee:quaeco:v:98:y:2024:i:c:s106297692400125x. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/620167 .

    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.