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Optimal Auditing with Scoring Theory and Application to Insurance Fraud

Author

Listed:
  • Georges Dionne

    (HEC Montréal - HEC Montréal)

  • Florence Giuliano

    (EconomiX - EconomiX - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique)

  • Pierre Picard

    (CECO - Laboratoire d'économétrie de l'École polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

Abstract

This article makes a bridge between the theory of optimal auditing and the scoring methodology in an asymmetric information setting. Our application is meant for asurance claims fraud, but it can be applied to many other activities that use the scoring approach. We show that the optimal auditing strategy takes the form of a "Red Flags Strategy" which consists in referring claims to a Special Investigative unit (SIU) when certain fraud indicators are observed. Fraud indicators are classified based on the degree to which they reveal an increasing probability of fraud. This strategy remains optimal even when the investigation policy is budget constrained. Moreover, the auditing policy acts as a deterrence device and we explain why it requires the commitment of the insurer and how it should affect the incentives of SIU staffs. the models is calibrated with data from a large European insurance company. We compute a critical suspicion index for fraud, providing a threshold above which all claims must be audited and we estimate the potential gain that could be derived from the optimal auditing policy. We show that it is possible to improve these results by separating different groups of insureds with different moral costs of fraud. Finally, our results indicate how the deterrence effect of the audit scheme can be taken into account and how it affects the optimal auditing strategy.

Suggested Citation

  • Georges Dionne & Florence Giuliano & Pierre Picard, 2005. "Optimal Auditing with Scoring Theory and Application to Insurance Fraud," Working Papers hal-00243026, HAL.
  • Handle: RePEc:hal:wpaper:hal-00243026
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    References listed on IDEAS

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    JEL classification:

    • D0 - Microeconomics - - General
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics

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