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Including individual Customer Lifetime Value and competing risks in tree-based lapse management strategies

Author

Listed:
  • Mathias Valla

    (LSAF - Laboratoire de Sciences Actuarielles et Financières [Lyon] - ISFA - Institut de Science Financière et d'Assurances, Faculty of Business and Economics - University of Leuven (KUL))

  • Xavier Milhaud

    (I2M - Institut de Mathématiques de Marseille - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Anani Ayodélé Olympio

    (SAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon)

Abstract

A retention strategy based on an enlightened lapse model is a powerful profitability lever for a life insurer. Some machine learning models are excellent at predicting lapse, but from the insurer's perspective, predicting which policyholder is likely to lapse is not enough to design a retention strategy. In our paper, we define a lapse management framework with an appropriate validation metric based on Customer Lifetime Value and profitability. We include the risk of death in the study through competing risks considerations in parametric and tree-based models and show that further individualization of the existing approaches leads to increased performance. We show that survival tree-based models outperform parametric approaches and that the actuarial literature can significantly benefit from them. Then, we compare, on real data, how this framework leads to increased predicted gains for a life insurer and discuss the benefits of our model in terms of commercial and strategic decision-making.

Suggested Citation

  • 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.
  • Handle: RePEc:hal:journl:hal-03903047
    DOI: 10.1007/s13385-023-00358-0
    Note: View the original document on HAL open archive server: https://hal.science/hal-03903047v4
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    References listed on IDEAS

    as
    1. Martin Eling & Michael Kochanski, 2013. "Research on lapse in life insurance: what has been done and what needs to be done?," Journal of Risk Finance, Emerald Group Publishing Limited, vol. 14(4), pages 392-413, August.
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    6. Siti Nurasyikin Shamsuddin & Noriszura Ismail & Nur Firyal Roslan, 2022. "What We Know about Research on Life Insurance Lapse: A Bibliometric Analysis," Risks, MDPI, vol. 10(5), pages 1-19, May.
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    8. 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.
    9. Xavier Milhaud & Christophe Dutang, 2018. "Lapse tables for lapse risk management in insurance: a competing risk approach," Post-Print hal-01727669, HAL.
    10. 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.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Machine Learning; Life insurance; Customer lifetime value; Lapse; Lapse management strategy; Competing risks; Tree-based models;
    All these keywords.

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