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Dynamic Investment-Driven Insurance Pricing: Equilibrium Analysis and Welfare Implication

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  • Bingzheng Chen
  • Zongxia Liang
  • Shunzhi Pang

Abstract

This paper develops a dynamic model to analyze the general equilibrium of the insurance market, focusing on the interaction between insurers' underwriting and investment strategies. Three possible equilibrium outcomes are identified: a positive insurance market, a zero insurance market, and market failure. Our findings reveal why insurers may rationally accept underwriting losses by setting a negative safety loading while relying on investment profits, particularly when there is a negative correlation between insurance gains and financial returns. Additionally, we explore the impact of regulatory frictions, showing that while imposing a cost on investment can enhance social welfare under certain conditions, it may not always be necessary. Therefore, we emphasize the importance of tailoring regulatory interventions to specific market conditions.

Suggested Citation

  • Bingzheng Chen & Zongxia Liang & Shunzhi Pang, 2024. "Dynamic Investment-Driven Insurance Pricing: Equilibrium Analysis and Welfare Implication," Papers 2410.18432, arXiv.org.
  • Handle: RePEc:arx:papers:2410.18432
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    References listed on IDEAS

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    1. Ralph S. J. Koijen & Motohiro Yogo, 2015. "The Cost of Financial Frictions for Life Insurers," American Economic Review, American Economic Association, vol. 105(1), pages 445-475, January.
    2. Ralph S. J. Koijen & Motohiro Yogo, 2023. "Understanding the Ownership Structure of Corporate Bonds," American Economic Review: Insights, American Economic Association, vol. 5(1), pages 73-92, March.
    3. Asimit, Vali & Boonen, Tim J., 2018. "Insurance with multiple insurers: A game-theoretic approach," European Journal of Operational Research, Elsevier, vol. 267(2), pages 778-790.
    4. Zeng, Yan & Li, Zhongfei, 2011. "Optimal time-consistent investment and reinsurance policies for mean-variance insurers," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 145-154, July.
    5. Chi Liu & Hailiang Yang, 2004. "Optimal Investment for an Insurer to Minimize Its Probability of Ruin," North American Actuarial Journal, Taylor & Francis Journals, vol. 8(2), pages 11-31.
    6. Ralph S.J. Koijen & Motohiro Yogo, 2022. "The Fragility of Market Risk Insurance," Journal of Finance, American Finance Association, vol. 77(2), pages 815-862, April.
    7. Ishita Sen, 2023. "Regulatory Limits to Risk Management," The Review of Financial Studies, Society for Financial Studies, vol. 36(6), pages 2175-2223.
    8. Winter Ralph A., 1994. "The Dynamics of Competitive Insurance Markets," Journal of Financial Intermediation, Elsevier, vol. 3(4), pages 379-415, September.
    9. Emms, Paul, 2007. "Dynamic Pricing of General Insurance in a Competitive Market," ASTIN Bulletin, Cambridge University Press, vol. 37(1), pages 1-34, May.
    10. Kubitza, Christian, 2021. "Investor-driven corporate finance: Evidence from insurance markets," ICIR Working Paper Series 43/21, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    11. Paul Emms, 2012. "Equilibrium Pricing of General Insurance Policies," North American Actuarial Journal, Taylor & Francis Journals, vol. 16(3), pages 323-349.
    12. Emms, Paul & Haberman, Steven, 2005. "Pricing General Insurance Using Optimal Control Theory," ASTIN Bulletin, Cambridge University Press, vol. 35(2), pages 427-453, November.
    13. Mark Egan & Shan Ge & Johnny Tang, 2022. "Conflicting Interests and the Effect of Fiduciary Duty: Evidence from Variable Annuities," The Review of Financial Studies, Society for Financial Studies, vol. 35(12), pages 5334-5386.
    14. Yi, Bo & Li, Zhongfei & Viens, Frederi G. & Zeng, Yan, 2013. "Robust optimal control for an insurer with reinsurance and investment under Heston’s stochastic volatility model," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 601-614.
    15. Shan Ge, 2022. "How Do Financial Constraints Affect Product Pricing? Evidence from Weather and Life Insurance Premiums," Journal of Finance, American Finance Association, vol. 77(1), pages 449-503, February.
    16. Benjamin Knox & Jakob Ahm Sørensen, 2024. "Insurers’ Investments and Insurance Prices," Finance and Economics Discussion Series 2024-058, Board of Governors of the Federal Reserve System (U.S.).
    17. Koijen, Ralph S.J. & Lee, Hae Kang & Van Nieuwerburgh, Stijn, 2024. "Aggregate lapsation risk," Journal of Financial Economics, Elsevier, vol. 155(C).
    18. Zeng, Yan & Li, Danping & Gu, Ailing, 2016. "Robust equilibrium reinsurance-investment strategy for a mean–variance insurer in a model with jumps," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 138-152.
    19. Yang, Hailiang & Zhang, Lihong, 2005. "Optimal investment for insurer with jump-diffusion risk process," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 615-634, December.
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