IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v47y2018i7p1693-1717.html
   My bibliography  Save this article

Time-consistent investment and reinsurance under relative performance concerns

Author

Listed:
  • Duni Hu
  • Hailong Wang

Abstract

This article investigates the optimal time-consistent investment and reinsurance for two mean–variance insurance managers who take into account the relative performance by comparison to their peers. The unique time-consistent Nash equilibrium policies and the corresponding value functions are derived for asset concentration and diversification. No matter which case is chosen, when the two insurance managers are sensitive to each other’s wealth, they chase each other’s trading behaviors leading to under-reinsurance and overinvestment and lower utility relative to the standard case without relative concerns. The cost–benefit from asset diversification to asset concentration and economic implications of parameters are illustrated by numerical examples.

Suggested Citation

  • Duni Hu & Hailong Wang, 2018. "Time-consistent investment and reinsurance under relative performance concerns," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(7), pages 1693-1717, April.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:7:p:1693-1717
    DOI: 10.1080/03610926.2017.1324987
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2017.1324987
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2017.1324987?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. Peng, Xingchun & Wang, Yushuang, 2024. "A non-zero-sum investment and reinsurance game between two mean–variance insurers with dynamic CVaR constraints," The North American Journal of Economics and Finance, Elsevier, vol. 70(C).
    2. Zhu, Huainian & Cao, Ming & Zhang, Chengke, 2019. "Time-consistent investment and reinsurance strategies for mean-variance insurers with relative performance concerns under the Heston model," Finance Research Letters, Elsevier, vol. 30(C), pages 280-291.
    3. He, Yong & Luouyang, Xueqi & He, Lin & Chen, Haiyan & Li, Sheng, 2024. "Non-zero-sum investment-reinsurance game with delay and ambiguity aversion," The North American Journal of Economics and Finance, Elsevier, vol. 73(C).
    4. Helu Xiao & Tiantian Ren & Yanfei Bai & Zhongbao Zhou, 2019. "Time-Consistent Investment-Reinsurance Strategies for the Insurer and the Reinsurer under the Generalized Mean-Variance Criteria," Mathematics, MDPI, vol. 7(9), pages 1-25, September.
    5. Yanfei Bai & Zhongbao Zhou & Rui Gao & Helu Xiao, 2020. "Nash Equilibrium Investment-Reinsurance Strategies for an Insurer and a Reinsurer with Intertemporal Restrictions and Common Interests," Mathematics, MDPI, vol. 8(1), pages 1-26, January.

    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:47:y:2018:i:7:p:1693-1717. 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.