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The Effect of Excess-of-Loss Reinsurance with Reinstatements of the Cedent's Portfolio

Author

Listed:
  • Walhin, J.F.
  • Paris, J.

Abstract

The adjustment for the cedent's retained risk after excess-of-loss reinsurance with reinstatements is calculated. Therefore we need a multivariate aggregate claims distribution. This distribution is easily given by a multivariate extension of Panjer's recursion. Numerical examples show the interest for the cedent to calculate the adjustment coeeficient for its portfolio when buying excess of loss reinsurance with reinstatements. An optimal organization is discussed.

Suggested Citation

  • Walhin, J.F. & Paris, J., 2000. "The Effect of Excess-of-Loss Reinsurance with Reinstatements of the Cedent's Portfolio," Papers 0003, Catholique de Louvain - Institut de statistique.
  • Handle: RePEc:fth:louvis:0003
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    References listed on IDEAS

    as
    1. Leopold Simar & Paul Wilson, 2000. "A general methodology for bootstrapping in non-parametric frontier models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(6), pages 779-802.
    2. Wheelock, David C & Wilson, Paul W, 1995. "Explaining Bank Failures: Deposit Insurance, Regulation, and Efficiency," The Review of Economics and Statistics, MIT Press, vol. 77(4), pages 689-700, November.
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    5. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
    6. Gary Ferrier & Joseph Hirschberg, 1997. "Bootstrapping Confidence Intervals for Linear Programming Efficiency Scores: With an Illustration Using Italian Banking Data," Journal of Productivity Analysis, Springer, vol. 8(1), pages 19-33, March.
    7. Rajiv D. Banker, 1993. "Maximum Likelihood, Consistency and Data Envelopment Analysis: A Statistical Foundation," Management Science, INFORMS, vol. 39(10), pages 1265-1273, October.
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    More about this item

    Keywords

    ECONOMETRICS ; RISK ; INSURANCE;

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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