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Life insurance convexity

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  • Kubitza, Christian
  • Grochola, Nicolaus
  • Gründl, Helmut

Abstract

Life insurers massively sell savings contracts with surrender options which allow policyholders to withdraw a guaranteed amount before maturity. These options move toward the money when interest rates rise. Using data on German life insurers, we estimate that a 1 percentage point increase in interest rates raises surrender rates by 17 basis points. We quantify the resulting liquidity risk in a calibrated model of surrender decisions and insurance cash flows. Simulations predict that surrender options can force insurers to sell up to 3% of their assets, depressing asset prices by 90 basis points. The effect is amplified by the duration of insurers' investments, and its impact on the term structure of interest rates depends on life insurers' investment strategy.

Suggested Citation

  • Kubitza, Christian & Grochola, Nicolaus & Gründl, Helmut, 2021. "Life insurance convexity," ICIR Working Paper Series 42/21, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
  • Handle: RePEc:zbw:icirwp:4221
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    References listed on IDEAS

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    Cited by:

    1. Grochola, Nicolaus & Browne, Mark Joseph & Gründl, Helmut & Schlütter, Sebastian, 2021. "Exploring the market risk profiles of U.S. and European life insurers," ICIR Working Paper Series 39/21, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    2. Cheng, Chunli & Hilpert, Christian & Miri Lavasani, Aidin & Schaefer, Mick, 2023. "Surrender contagion in life insurance," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1465-1479.

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    More about this item

    Keywords

    Life Insurance; Liquidity Risk; Interest Rates; Fire Sales; Systemic Risk;
    All these keywords.

    JEL classification:

    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

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