IDEAS home Printed from https://ideas.repec.org/p/zbw/icirwp/2917.html
   My bibliography  Save this paper

Rising interest rates, lapse risk, and the stability of life insurers

Author

Listed:
  • Berdin, Elia
  • Gründl, Helmut
  • Kubitza, Christian

Abstract

This paper investigates the effects of a rise in interest rate and lapse risk of endowment life insurance policies on the liquidity and solvency of life insurers. We model the book and market value balance sheet of an average German life insurer, subject to both GAAP and Solvency II regulation, featuring an existing back book of policies and an existing asset allocation calibrated by historical data. The balance sheet is then projected forward under stochastic financial markets. Lapse rates are modeled stochastically and depend on the granted guaranteed rate of return and prevailing level of interest rates. Our results suggest that in the case of a sharp increase in interest rates, policyholders sharply increase lapses and the solvency position of the insurer deteriorates in the short-run. This result is particularly driven by the interaction between a reduction in the market value of assets, large guarantees for existing policies, and a very slow adjustment of asset returns to interest rates. A sharp or gradual rise in interest rates is associated with substantial and persistent liquidity needs, that are particularly driven by lapse rates.

Suggested Citation

  • Berdin, Elia & Gründl, Helmut & Kubitza, Christian, 2017. "Rising interest rates, lapse risk, and the stability of life insurers," ICIR Working Paper Series 29/17, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
  • Handle: RePEc:zbw:icirwp:2917
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/167321/1/895028018.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nathan Foley-Fisher & Borghan Narajabad & Stephane Verani, 2016. "Securities Lending as Wholesale Funding: Evidence from the U.S. Life Insurance Industry," NBER Working Papers 22774, National Bureau of Economic Research, Inc.
    2. Buchardt, Kristian, 2014. "Dependent interest and transition rates in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 167-179.
    3. Billio, Monica & Getmansky, Mila & Lo, Andrew W. & Pelizzon, Loriana, 2012. "Econometric measures of connectedness and systemic risk in the finance and insurance sectors," Journal of Financial Economics, Elsevier, vol. 104(3), pages 535-559.
    4. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    5. repec:eme:jrfpps:v:14:y:2013:i:2:p:392-413 is not listed on IDEAS
    6. Barsotti, Flavia & Milhaud, Xavier & Salhi, Yahia, 2016. "Lapse risk in life insurance: Correlation and contagion effects among policyholders’ behaviors," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 317-331.
    7. Changki Kim, 2005. "Modeling Surrender and Lapse Rates With Economic Variables," North American Actuarial Journal, Taylor & Francis Journals, vol. 9(4), pages 56-70.
    8. Berdin, Elia & Pancaro, Cosimo & Kok Sørensen, Christoffer, 2016. "A stochastic forward-looking model to assess the profitability and solvency of European insurers," SAFE Working Paper Series 137, Leibniz Institute for Financial Research SAFE, revised 2016.
    9. Barsotti, Flavia & Milhaud, Xavier & Salhi, Yahia, 2016. "Lapse risk in life insurance: Correlation and contagion effects among policyholders’ behaviors," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 317-331.
    10. Tsai, Chenghsien & Kuo, Weiyu & Chen, Wei-Kuang, 2002. "Early surrender and the distribution of policy reserves," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 429-445, December.
    11. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    12. Martin Eling & Dieter Kiesenbauer, 2014. "What Policy Features Determine Life Insurance Lapse? An Analysis of the German Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 81(2), pages 241-269, June.
    13. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    14. Weiyu Kuo & Chenghsien Tsai & Wei‐Kuang Chen, 2003. "An Empirical Study on the Lapse Rate: The Cointegration Approach," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 70(3), pages 489-508, September.
    15. Russo, Vincenzo & Giacometti, Rosella & Fabozzi, Frank J., 2017. "Intensity-based framework for surrender modeling in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 189-196.
    16. Berdin, Elia, 2016. "Interest rate risk, longevity risk and the solvency of life insurers," ICIR Working Paper Series 23/16, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    17. Nolte, Sven & Schneider, Judith C., 2017. "Don’t lapse into temptation: a behavioral explanation for policy surrender," Journal of Banking & Finance, Elsevier, vol. 79(C), pages 12-27.
    18. David T. Russell & Stephen G. Fier & James M. Carson & Randy E. Dumm, 2013. "An Empirical Analysis of Life Insurance Policy Surrender Activity," Journal of Insurance Issues, Western Risk and Insurance Association, vol. 36(1), pages 35-57.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Working Papers hal-03671943, HAL.
    2. Pierre-Edouard Arrouy & Alexandre Boumezoued & Bernard Lapeyre & Sophian Mehalla, 2022. "Economic Scenario Generators: a risk management tool for insurance," Post-Print hal-03671943, HAL.
    3. Tobias Burkhart, 2018. "Surrender Risk in the Context of the Quantitative Assessment of Participating Life Insurance Contracts under Solvency II," Risks, MDPI, vol. 6(3), pages 1-38, June.

    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. 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).
    2. Mathias Valla & Xavier Milhaud & Anani Ayodélé Olympio, 2023. "Including individual Customer Lifetime Value and competing risks in tree-based lapse management strategy," Working Papers hal-03903047, HAL.
    3. Lu Yu & Jiang Cheng & Tzuting Lin, 2019. "Life insurance lapse behaviour: evidence from China," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(4), pages 653-678, October.
    4. Mathias Valla & Xavier Milhaud & Anani Ayodélé Olympio, 2023. "Including individual Customer Lifetime Value and competing risks in tree-based lapse management strategies," Post-Print hal-03903047, HAL.
    5. Gemmo, Irina & Götz, Martin, 2016. "Life insurance and demographic change: An empirical analysis of surrender decisions based on panel data," ICIR Working Paper Series 24/16, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    6. Russo, Vincenzo & Giacometti, Rosella & Fabozzi, Frank J., 2017. "Intensity-based framework for surrender modeling in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 189-196.
    7. Cassandra R. Cole & Stephen G. Fier, 2021. "An examination of life insurance policy surrender and loan activity," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(2), pages 483-516, June.
    8. Christian Knoller & Gunther Kraut & Pascal Schoenmaekers, 2016. "On the Propensity to Surrender a Variable Annuity Contract: An Empirical Analysis of Dynamic Policyholder Behavior," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(4), pages 979-1006, December.
    9. Srbinoski Bojan & Strozzi Fernanda & Poposki Klime & Born Patricia H., 2020. "Trends in Life Insurance Demand and Lapse Literature," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 14(2), pages 1-46, July.
    10. Gemmo, Irina & Götz, Martin, 2016. "Life insurance and demographic change: An empirical analysis of surrender decisions based on panel data," SAFE Working Paper Series 240, Leibniz Institute for Financial Research SAFE.
    11. Zhao, Yixing & Mamon, Rogemar & Gao, Huan, 2018. "A two-decrement model for the valuation and risk measurement of a guaranteed annuity option," Econometrics and Statistics, Elsevier, vol. 8(C), pages 231-249.
    12. Xavier Milhaud & Christophe Dutang, 2018. "Lapse tables for lapse risk management in insurance: a competing risk approach," Post-Print hal-01727669, HAL.
    13. Camilla LandÊn, 2000. "Bond pricing in a hidden Markov model of the short rate," Finance and Stochastics, Springer, vol. 4(4), pages 371-389.
    14. Álvarez Echeverría Francisco & López Sarabia Pablo & Venegas Martínez Francisco, 2012. "Valuación financiera de proyectos de inversión en nuevas tecnologías con opciones reales," Contaduría y Administración, Accounting and Management, vol. 57(3), pages 115-145, julio-sep.
    15. Matsumura, Marco & Moreira, Ajax & Vicente, José, 2011. "Forecasting the yield curve with linear factor models," International Review of Financial Analysis, Elsevier, vol. 20(5), pages 237-243.
    16. Lin, Bing-Huei, 1999. "Fitting the term structure of interest rates for Taiwanese government bonds," Journal of Multinational Financial Management, Elsevier, vol. 9(3-4), pages 331-352, November.
    17. Gollier, Christian, 2002. "Time Horizon and the Discount Rate," Journal of Economic Theory, Elsevier, vol. 107(2), pages 463-473, December.
    18. Yang, Nian & Chen, Nan & Wan, Xiangwei, 2019. "A new delta expansion for multivariate diffusions via the Itô-Taylor expansion," Journal of Econometrics, Elsevier, vol. 209(2), pages 256-288.
    19. Kimmel, Robert L., 2004. "Modeling the term structure of interest rates: A new approach," Journal of Financial Economics, Elsevier, vol. 72(1), pages 143-183, April.
    20. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary Policy Alternatives at the Zero Bound: An Empirical Assessment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(2), pages 1-100.

    More about this item

    Keywords

    Interest Rate Risk; Lapse Risk; Life Insurance;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:zbw:icirwp:2917. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/icffmde.html .

    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.