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Forecasting in an Extended Chain‐Ladder‐Type Model

Author

Listed:
  • Di Kuang
  • Bent Nielsen
  • Jens Perch Nielsen

Abstract

Reserving in general insurance is often done using chain-ladder-type methods. We propose a method aimed at situations where there is a sudden change in the economic environment affecting the policies for all accident years in the reserving triangle. It is shown that methods for forecasting non-stationary time series are helpful. We illustrate the method using data published in Barnett and Zehnwirth (2000). These data illustrate features we also found in data from the general insurer RSA during the recent credit crunch.
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Suggested Citation

  • Di Kuang & Bent Nielsen & Jens Perch Nielsen, 2011. "Forecasting in an Extended Chain‐Ladder‐Type Model," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 78(2), pages 345-359, June.
  • Handle: RePEc:bla:jrinsu:v:78:y:2011:i:2:p:345-359
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    Cited by:

    1. Jonas Harnau, 2018. "Misspecification Tests for Log-Normal and Over-Dispersed Poisson Chain-Ladder Models," Risks, MDPI, vol. 6(2), pages 1-25, March.
    2. Mammen, Enno & Martínez-Miranda, María Dolores & Nielsen, Jens Perch & Vogt, Michael, 2021. "Calendar effect and in-sample forecasting," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 31-52.
    3. D Kuang & Bent Nielsen & J P Nielsen, 2013. "The Geometric Chain-Ladder," Economics Papers 2013-W11, Economics Group, Nuffield College, University of Oxford.
    4. Ioannis Badounas & Georgios Pitselis, 2020. "Loss Reserving Estimation With Correlated Run-Off Triangles in a Quantile Longitudinal Model," Risks, MDPI, vol. 8(1), pages 1-26, February.
    5. Scholz, Michael & Nielsen, Jens Perch & Sperlich, Stefan, 2015. "Nonparametric prediction of stock returns based on yearly data: The long-term view," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 143-155.
    6. Beutner, Eric & Reese, Simon & Urbain, Jean-Pierre, 2017. "Identifiability issues of age–period and age–period–cohort models of the Lee–Carter type," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 117-125.
    7. Bent Nielsen & J.P. Nielsen, 2010. "Identification and forecasting in the Lee-Carter model," Economics Series Working Papers 2010-W07, University of Oxford, Department of Economics.
    8. D. Kuang & B. Nielsen, 2018. "Generalized Log-Normal Chain-Ladder," Papers 1806.05939, arXiv.org.
    9. María Dolores Martínez Miranda & Bent Nielsen & Jens Perch Nielsen, 2015. "Inference and forecasting in the age–period–cohort model with unknown exposure with an application to mesothelioma mortality," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 178(1), pages 29-55, 01.

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