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An optimal co-reinsurance strategy

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  • Payandeh Najafabadi, Amir T.
  • Bazaz, Ali Panahi

Abstract

This article considers a co-reinsurance strategy that (1) protects insurance companies against catastrophic risks; (2) enables insurers to gather sufficient information about the different risk attitudes of reinsurers and diversify their reinsured risks; (3) enables insurers to create better risk-sharing profiles by balancing the risk tolerances of reinsurers; (4) has the benefit of allowing reinsurers to accumulate experience with risks with which they are unfamiliar; (5) reduces the overall direct cost of a reinsurance contract; (6) allows a government to back some insurance products, such as the terrorism insurance programs that were established in many countries after the September 11th terrorist attacks; and (7) reflects the practical reinsurance industry of some countries, such as Iran. Such a co-reinsurance strategy can be fully determined by estimating its parameters whenever three optimal criteria are satisfied and prior information about the unknown parameters is available. Two simulation-based studies have been conducted to demonstrate (1) the practical applications of our findings and (2) the possible impact of any type of dependency between the co-reinsurance’s parameters and the evaluated optimal co-reinsurance strategy.

Suggested Citation

  • Payandeh Najafabadi, Amir T. & Bazaz, Ali Panahi, 2016. "An optimal co-reinsurance strategy," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 149-155.
  • Handle: RePEc:eee:insuma:v:69:y:2016:i:c:p:149-155
    DOI: 10.1016/j.insmatheco.2016.04.005
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    1. Göran Skogh & Hong Wu, 2005. "The Diversification Theorem Restated: Risk-pooling Without Assignment of Probabilities," Journal of Risk and Uncertainty, Springer, vol. 31(1), pages 35-51, July.
    2. Hesselager, Ole & Witting, Thomas, 1988. "A Credibility Model with Random Fluctuations in Delay Probabilities for the Prediction of IBNR Claims(*)," ASTIN Bulletin, Cambridge University Press, vol. 18(1), pages 79-90, April.
    3. England, P.D. & Verrall, R.J., 2002. "Stochastic Claims Reserving in General Insurance," British Actuarial Journal, Cambridge University Press, vol. 8(3), pages 443-518, August.
    4. 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.
    5. Cai, Jun & Tan, Ken Seng, 2007. "Optimal Retention for a Stop-loss Reinsurance Under the VaR and CTE Risk Measures," ASTIN Bulletin, Cambridge University Press, vol. 37(1), pages 93-112, May.
    6. Udi Makov, 2001. "Principal Applications of Bayesian Methods in Actuarial Science," North American Actuarial Journal, Taylor & Francis Journals, vol. 5(4), pages 53-57.
    7. Hossack,I. B. & Pollard,J. H. & Zehnwirth,B., 1999. "Introductory Statistics with Applications in General Insurance," Cambridge Books, Cambridge University Press, number 9780521652346.
    8. Erwann Michel-Kerjan & Burkhard Pedell, 2005. "Terrorism Risk Coverage in the Post-9/11 Era: A Comparison of New Public–Private Partnerships in France, Germany and the U.S.*," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 30(1), pages 144-170, January.
    9. Hossack,I. B. & Pollard,J. H. & Zehnwirth,B., 1999. "Introductory Statistics with Applications in General Insurance," Cambridge Books, Cambridge University Press, number 9780521655347.
    10. 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.
    11. Payandeh Najafabadi, Amir T. & Hatami, Hamid & Omidi Najafabadi, Maryam, 2012. "A maximum-entropy approach to the linear credibility formula," Insurance: Mathematics and Economics, Elsevier, vol. 51(1), pages 216-221.
    12. Payandeh Najafabadi, Amir T., 2010. "A new approach to the credibility formula," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 334-338, April.
    13. Giuliano Castellano, 2010. "Governing Ignorance: Emerging catastrophic Risks-Industry Responses and Policy Frictions," Post-Print hal-00541418, HAL.
    14. Coutts, S.M. & Thomas, T.R.H., 1997. "Modelling the Impact of Reinsurance on Financial Strength," British Actuarial Journal, Cambridge University Press, vol. 3(3), pages 583-653, August.
    15. Tan, Ken Seng & Weng, Chengguo & Zhang, Yi, 2011. "Optimality of general reinsurance contracts under CTE risk measure," Insurance: Mathematics and Economics, Elsevier, vol. 49(2), pages 175-187, September.
    16. Boone, J. & van Damme, E.E.C. & De Waegenaere, A.M.B., 2012. "Co-Assurantie vanuit Speltheoretisch Perspectief," Other publications TiSEM 2fefba2d-d046-4cdc-aeda-a, Tilburg University, School of Economics and Management.
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