Estimation and Calculation Procedures of the Technical Provisions for Outstanding Insurance Claims

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Abstract

The paper presents algorithms for insurance technical provisions taking into account losses, which are incurred but not reported. Evaluation of insurance technical provisions for the kinds of insurance, such as Motor Third Party Liability (MTPL) Insurance, Property Insurance and some others, have difficulties in assessing the impact of the losses from insurance claims incurred requiring a longer time for the settlement of insurance claims. These insurance requirements are mainly associated with health insurance in the MTPL Insurance, losses related to compensation for moral injuries, as well as on life care and life-long pension. To run these payments, you need to know the financial indicators for the period of settlement of loss (such as the effective interest rate, investment income, etc.) In the article the procedures for the most accurate forecast possible losses for the expected excess of loss amount for a treaty year are provided, using the loss experience of the previous years of the occurrence with their development. However, certain adjustments should be made to take account of the impact of losses from previous years for the current period. This article describes how outstanding losses have to be projected on a year of reporting, so that they are correspond to the current values

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  • [1] Brosemer M. (2011): Treatment of Technical provisions under solvency Munich Re Solvency Consulting Knowledge Series p.1-8.

  • [2] GDV (Gesamtverband der Deutschen Versicherungswirtschaft e. V.) (2011): Methoden zur Schätzung von Schaden- und Prämienrückstellungen in der Kompositversicherung Überarbeitete Fassung.http://www.gdv.de/wpcontent/uploads/2011/11/Broschuere_Schaden_und_Praemienrueckstellungen_in_der_Kompositversicherung_2011.pdf

  • [3] Kaas R. Goovaerts M. Dhaene J. Deniut M. (2001): Modern Actuarial Risk Theory. Kluwer Academic Publishers Dordrecht.

  • [4] Kremer (1982): IBNR-Claims and the Two-Way Model of ANOVA. Scand.Act.J. Vol.1 p.47-55.

  • [5] Norberg R. (1993): Prediction of Outstanding Liabilities in Non-Life Insurance ASTIN BulletinVol 23 No 1 p. 95-115. http://dx.doi.org/10.2143/AST.23.1.2005103

  • [6] Schiegl M. (2002): On the Safety Loading for Chain Ladder Estimates: A Monte Carlo Simulation Study ASTIN Bulletin Vol. 32 No. 107.

  • [7] Schmidt K. (2006): Methods and Models of Loss Reserving Based on Run-off Triangles: A Unifying Survey. In: Casualty Actuarial Society Forum Fall 2006 269 - 317.

  • [8] Schmidt K. (2008): Bornhuetter-Ferguson as a General Principle of Loss Reserving ASTIN Manchester July 14-16.

  • [9] Quarg G. (2004): Munich Chain Ladder Blätter der Deutschen Gesellschaft für Versicherungs- und Finanzmathematik Vol. 26 No. 4 2004 p. 597-630.

  • [10] Verrall R. (1991): Statistical Methods for the Chain Ladder Technique ASTIN Bulletin Vol. 20 No. 2 p. 393-446.

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