IDEAS home Printed from https://ideas.repec.org/a/eee/jeborg/v201y2022icp374-394.html
   My bibliography  Save this article

On the optimal management of counterparty risk in reinsurance contracts

Author

Listed:
  • Reichel, Lukas
  • Schmeiser, Hato
  • Schreiber, Florian

Abstract

We use a normative analysis and consider the optimal reinsurance coverage structure in the presence of counterparty risk. From the perspective of a risk-averse primary insurer, we derive a cost criterion that indicates the optimality of under-, over- and full hedging of the reinsurers’ counterparty risk and show how the hedging preference can define a vertical layering of the reinsurance coverage. We also determine the optimal diversification strategies between two reinsurers that differ in their counterparty risk. Our results provide evidence that the coverage is allocated either to a single reinsurer or to both in the form of a vertical (quota share) and horizontal (excess-of-loss) allocation. Finally, we demonstrate how to optimally combine hedging and diversification.

Suggested Citation

  • Reichel, Lukas & Schmeiser, Hato & Schreiber, Florian, 2022. "On the optimal management of counterparty risk in reinsurance contracts," Journal of Economic Behavior & Organization, Elsevier, vol. 201(C), pages 374-394.
  • Handle: RePEc:eee:jeborg:v:201:y:2022:i:c:p:374-394
    DOI: 10.1016/j.jebo.2022.05.026
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016726812200186X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jebo.2022.05.026?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.

    References listed on IDEAS

    as
    1. Cummins, J David & Mahul, Olivier, 2003. "Optimal Insurance with Divergent Beliefs about Insurer Total Default Risk," Journal of Risk and Uncertainty, Springer, vol. 27(2), pages 121-138, October.
    2. Denis-Alexandre Trottier & Van Son Lai, 2017. "Reinsurance or CAT Bond? How to Optimally Combine Both," Working Papers 2017-003, Department of Research, Ipag Business School.
    3. Olivier Mahul & Brian Davern Wright, 2004. "Implications of incomplete performance for optimal insurance," Post-Print hal-01952109, HAL.
    4. Wenan Fei & Harris Schlesinger, 2008. "Precautionary Insurance Demand With State‐Dependent Background Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(1), pages 1-16, March.
    5. M. Boyer & Charles Nyce, 2013. "An Industrial Organization Theory of Risk Sharing," North American Actuarial Journal, Taylor & Francis Journals, vol. 17(4), pages 283-296.
    6. Darius Lakdawalla & George Zanjani, 2012. "Catastrophe Bonds, Reinsurance, and the Optimal Collateralization of Risk Transfer," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(2), pages 449-476, June.
    7. John David Cummins & Olivier Mahul, 2003. "Optimal insurance with divergent beliefs about total default risk," Post-Print hal-01952121, HAL.
    8. Peter, Richard & Ying, Jie, 2020. "Do you trust your insurer? Ambiguity about contract nonperformance and optimal insurance demand," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 938-954.
    9. Froot, Kenneth A. & Stein, Jeremy C., 1998. "Risk management, capital budgeting, and capital structure policy for financial institutions: an integrated approach," Journal of Financial Economics, Elsevier, vol. 47(1), pages 55-82, January.
    10. Doherty, N A & Tinic, S M, 1981. "Reinsurance under Conditions of Capital Market Equilibrium: A Note," Journal of Finance, American Finance Association, vol. 36(4), pages 949-953, September.
    11. Asimit, Alexandru V. & Badescu, Alexandru M. & Cheung, Ka Chun, 2013. "Optimal reinsurance in the presence of counterparty default risk," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 690-697.
    12. Damir Filipović & Robert Kremslehner & Alexander Muermann, 2015. "Optimal Investment and Premium Policies Under Risk Shifting and Solvency Regulation," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 82(2), pages 261-288, June.
    13. Bernard, Carole & Liu, Fangda & Vanduffel, Steven, 2020. "Optimal insurance in the presence of multiple policyholders," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 638-656.
    14. Neil A. Doherty & Harris Schlesinger, 1990. "Rational Insurance Purchasing: Consideration of Contract Nonperformance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 243-253.
    15. Asimit, Alexandru V. & Badescu, Alexandru M. & Verdonck, Tim, 2013. "Optimal risk transfer under quantile-based risk measurers," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 252-265.
    16. Doherty, Neil A & Garven, James R, 1986. "Price Regulation in Property-Liability Insurance: A Contingent-Claims Approach," Journal of Finance, American Finance Association, vol. 41(5), pages 1031-1050, December.
    17. Reichel, Lukas & Schmeiser, Hato & Schreiber, Florian, 2021. "Sometimes more, sometimes less: Prudence and the diversification of risky insurance coverage," European Journal of Operational Research, Elsevier, vol. 292(2), pages 770-783.
    18. Christophe Courbage & Henri Loubergé & Richard Peter, 2017. "Optimal Prevention for Multiple Risks," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(3), pages 899-922, September.
    19. J. David Cummins & Philippe Trainar, 2009. "Securitization, Insurance, and Reinsurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 463-492, September.
    20. Boonen, Tim J. & Tan, Ken Seng & Zhuang, Sheng Chao, 2016. "The role of a representative reinsurer in optimal reinsurance," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 196-204.
    21. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    22. Mahul, Olivier & Wright, Brian D., 2007. "Optimal coverage for incompletely reliable insurance," Economics Letters, Elsevier, vol. 95(3), pages 456-461, June.
    23. Malamud, Semyon & Rui, Huaxia & Whinston, Andrew, 2016. "Optimal reinsurance with multiple tranches," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 71-82.
    24. Olivier Mahul & Brian D. Wright, 2004. "Implications of Incomplete Performance for Optimal Insurance," Economica, London School of Economics and Political Science, vol. 71(284), pages 661-670, November.
    25. Raviv, Artur, 1979. "The Design of an Optimal Insurance Policy," American Economic Review, American Economic Association, vol. 69(1), pages 84-96, March.
    26. Boonen, Tim J., 2019. "Equilibrium recoveries in insurance markets with limited liability," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 38-45.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Reichel, Lukas & Schmeiser, Hato & Schreiber, Florian, 2021. "Sometimes more, sometimes less: Prudence and the diversification of risky insurance coverage," European Journal of Operational Research, Elsevier, vol. 292(2), pages 770-783.
    2. Rustam Ibragimov & Dwight Jaffee & Johan Walden, 2018. "Equilibrium with Monoline and Multiline Structures [Uncertainty and the welfare economics of medical care]," Review of Finance, European Finance Association, vol. 22(2), pages 595-632.
    3. Markus Huggenberger & Peter Albrecht, 2022. "Risk pooling and solvency regulation: A policyholder's perspective," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(4), pages 907-950, December.
    4. Boonen, Tim J. & Liu, Fangda, 2022. "Insurance with heterogeneous preferences," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    5. Biener, Christian & Landmann, Andreas & Santana, Maria Isabel, 2019. "Contract nonperformance risk and uncertainty in insurance markets," Journal of Public Economics, Elsevier, vol. 175(C), pages 65-83.
    6. Dionne, Georges & Harrington, Scott, 2017. "Insurance and Insurance Markets," Working Papers 17-2, HEC Montreal, Canada Research Chair in Risk Management.
    7. Glenn W. Harrison & Jia Min Ng, 2018. "Welfare effects of insurance contract non-performance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(1), pages 39-76, May.
    8. Boonen, Tim J., 2019. "Equilibrium recoveries in insurance markets with limited liability," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 38-45.
    9. Eric LANGLAIS, 2008. "On Insurance Contract Design For Low Probability Events," Journal of Applied Economic Sciences, Spiru Haret University, Faculty of Financial Management and Accounting Craiova, vol. 3(2(4)_Summ).
    10. Eric Langlais, 2008. "On insurance contract design for low probability events," Working Papers hal-04140722, HAL.
    11. Dwight Jaffee & Johan Walden, 2014. "Optimal Insurance With Costly Internal Capital," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 17(2), pages 137-161, September.
    12. Johannes G. Jaspersen & Richard Peter & Marc A. Ragin, 2023. "Probability weighting and insurance demand in a unified framework," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 48(1), pages 63-109, March.
    13. Chen Li & Xiaohu Li, 2018. "On the Optimal Risk Sharing in Reinsurance with Random Recovery Rate," Risks, MDPI, vol. 6(4), pages 1-16, October.
    14. Peter, Richard & Ying, Jie, 2020. "Do you trust your insurer? Ambiguity about contract nonperformance and optimal insurance demand," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 938-954.
    15. Laux, Christian & Muermann, Alexander, 2010. "Financing risk transfer under governance problems: Mutual versus stock insurers," Journal of Financial Intermediation, Elsevier, vol. 19(3), pages 333-354, July.
    16. Henri Loubergé, 1998. "Risk and Insurance Economics 25 Years After," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 23(4), pages 540-567, October.
    17. Denis-Alexandre Trottier & Van Son Lai & Anne-Sophie Charest, 2017. "CAT Bond Spreads Via HARA Utility and Nonparametric Tests," Working Papers 2017-002, Department of Research, Ipag Business School.
    18. Gibson, Rajna & Habib, Michel A. & Ziegler, Alexandre, 2014. "Reinsurance or securitization: The case of natural catastrophe risk," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 79-100.
    19. Stephens, Eric & Thompson, James R., 2014. "CDS as insurance: Leaky lifeboats in stormy seas," Journal of Financial Intermediation, Elsevier, vol. 23(3), pages 279-299.
    20. Bjoern Hagendorff & Jens Hagendorff & Kevin Keasey, 2013. "The Shareholder Wealth Effects of Insurance Securitization: Preliminary Evidence from the Catastrophe Bond Market," Journal of Financial Services Research, Springer;Western Finance Association, vol. 44(3), pages 281-301, December.

    More about this item

    Keywords

    Optimal reinsurance; Counterparty risk; Hedging; Diversification;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

    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:jeborg:v:201:y:2022:i:c:p:374-394. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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/jebo .

    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.