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Pricing and Capital Allocation for Multiline Insurance Firms

Author

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  • Rustam Ibragimov
  • Dwight Jaffee
  • Johan Walden

Abstract

We study multiline insurance companies with limited liability. Insurance premiums are determined by no‐arbitrage principles. The results are developed under the realistic assumption that the losses created by insurer default are allocated among policyholders following an ex post, pro rata, sharing rule. In general, the ratio of default costs to expected claims, and thus the ratio of premiums to expected claims, vary across insurance lines. Moreover, capital and related costs are allocated across lines in proportion to each line's share of a digital default option on the insurer. Our results expand and generalize those derived elsewhere in the literature.

Suggested Citation

  • Rustam Ibragimov & Dwight Jaffee & Johan Walden, 2010. "Pricing and Capital Allocation for Multiline Insurance Firms," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(3), pages 551-578, September.
    • Handle: RePEc:bla:jrinsu:v:77:y:2010:i:3:p:551-578
    DOI: 10.1111/j.1539-6975.2010.01353.x
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    References listed on IDEAS

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    Cited by:

    1. John A. Major & Stephen J. Mildenhall, 2020. "Pricing and Capital Allocation for Multiline Insurance Firms With Finite Assets in an Imperfect Market," Papers 2008.12427, arXiv.org.
    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. Mao Hong & Wen Zhongkai, 2018. "Optimization of Price, Default Ratio and Capital under Regulatory Criterion of Maximizing Social Benefit," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 12(2), pages 1-15, July.
    4. Stoyanova, Rayna & Schlütter, Sebastian, 2012. "Safety versus affordability as targets of insurance regulation in an opaque market: A welfare approach," ICIR Working Paper Series 10/12, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    5. Li Zhang & Norma Nielson, 2012. "Pricing for Multiline Insurer: Frictional Costs, Insolvency, and Asset Allocation," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 15(2), pages 129-152, September.
    6. 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.
    7. Ibragimov, Rustam & Jaffee, Dwight & Walden, Johan, 2011. "Diversification disasters," Journal of Financial Economics, Elsevier, vol. 99(2), pages 333-348, February.
    8. Daniel Bauer & George Zanjani, 2016. "The Marginal Cost of Risk, Risk Measures, and Capital Allocation," Management Science, INFORMS, vol. 62(5), pages 1431-1457, May.
    9. Zhuo Jin & Huafu Liao & Yue Yang & Xiang Yu, 2019. "Optimal Dividend Strategy for an Insurance Group with Contagious Default Risk," Papers 1909.09511, arXiv.org, revised Oct 2020.
    10. Mao Hong & Carson James M. & Ostaszewski Krzysztof M., 2018. "Optimal Price Setting and Insurer Capital Management in a Multiple Line Context," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 12(1), pages 1-22, January.
    11. Brent W. Ambrose & Zhongyi Yuan, 2018. "Pricing government credit: a new method for determining government credit risk exposure," Economic Policy Review, Federal Reserve Bank of New York, issue 24-3, pages 41-62.
    12. Dionne, Georges & Harrington, Scott, 2017. "Insurance and Insurance Markets," Working Papers 17-2, HEC Montreal, Canada Research Chair in Risk Management.
    13. Boonen, Tim J., 2019. "Equilibrium recoveries in insurance markets with limited liability," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 38-45.

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