IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v54y2025i3p720-738.html
   My bibliography  Save this article

Asymptotics for the ruin probability in a proportional reinsurance risk model with dependent insurance and financial risks

Author

Listed:
  • Ming Cheng
  • Dingcheng Wang

Abstract

This article studies the joint ruin problem for two insurance companies that divide claims in positive proportions (modeling an insurance and re-insurance company). The arrival times of claims are delayed by a common random time. Suppose that the two insurance companies are allowed to make risk-free and risky investments, and the price processes of the corresponding investment portfolios are exponentials of jump-diffusion processes with common jumps. Furthermore, assuming that the claim sizes and their corresponding investment return jump possess a dependence structure, this article establishes an asymptotic formula for the ruin probability.

Suggested Citation

  • Ming Cheng & Dingcheng Wang, 2025. "Asymptotics for the ruin probability in a proportional reinsurance risk model with dependent insurance and financial risks," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(3), pages 720-738, February.
    • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:3:p:720-738
    DOI: 10.1080/03610926.2024.2318606
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2024.2318606
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2024.2318606?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

    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:lstaxx:v:54:y:2025:i:3:p:720-738. 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/lsta .

    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.