Loss portfolio transfer treaties within Solvency II capital system: a reinsurer’s point of view
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DOIhttp://dx.doi.org/10.21511/ins.11(1).2020.01
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Article InfoVolume 11 2020, Issue #1, pp. 1-10
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Loss portfolio transfer (LPT) is a reinsurance treaty in which an insurer cedes the policies that have already incurred losses to a reinsurer. This operation can be carried out by an insurance company in order to reduce reserving risk and consequently reduce its capital requirement calculated, according to Solvency II. From the viewpoint of the reinsurance company, being a very complex operation, importance must be given to the methodology used to determine the price of the treaty.
Following the collective risk approach, the paper examines the risk profiles and the reinsurance pricing of LPT treaties, taking into account the insurance capital requirements established by European law. For this purpose, it is essential to calculate the capital need for the risk deriving from the LPT transaction. In the case analyzed, this requirement is calculated under Solvency II legislation, considering the measure of variability determined via simulation. This quantification was also carried out for different levels of the cost of capital rate, providing a range of possible loadings to be applied to the premium.
In the case of the Cost of Capital (CoC) approach, the results obtained provide a lower level of premium compared to the percentile-based method with a range between 2.69% and 1.88%. Besides, the CoC approach also provides the advantage of having an explicit parameter, the CoC rate whose specific level can be chosen by the reinsurance company based on the risk appetite.
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JEL Classification (Paper profile tab)G22, C58
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References10
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Tables8
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Figures2
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- Figure 1. Probability density function of current random value of future compensation for the whole of generation Z
- Figure 2. Cumulative distribution function of generation Z
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- Table 1. Base scenario: hypothesis
- Table 2. Statistics on the current value of compensation
- Table 3. Cumulative distribution function of generation Z – F(z)
- Table 4. Coefficient of Variation (CoV) of BEL (Best Estimate Liabilities)
- Table 5. BEL and 95th percentile
- Table 6. Premium with CoC approach
- Table 7. Parameters in the scenarios
- Table 8. Sensitivity analysis on investment risk and insurance risk
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- Butsic, R. P. (1994). Determining the proper interest rate for loss reserve discounting: an economic approach. In J. D. Cummins & R. A. Derrig (Eds.), Managing the Insolvency Risk of Insurance Companies (pp. 249-261).
- Daykin, C. D., Pentikainen, T., & Pesonen, M. (1993). Practical risk theory for actuaries (546 p.). Chapman & Hall.
- D’Ortona, N. E., & Melisi, G. (2014). Run-off error in the outstanding claims reserves evaluation. In C. Perna & M. Sibillo (Eds.), Mathematical and Statistical Methods for Actuarial Sciences and Finance (pp. 95-98). Springer, Cham.
- England, P. D., & Verrall, R. J. (2006). Predictive distributions of outstanding liabilities in general insurance. Annals of Actuarial Science, 1(2), 221-270.
- Mack, T. (1993). Distribution-free calculation of the standard error of chain ladder reserve estimates. ASTIN Bulletin: The Journal of the IAA, 23(2), 213-225.
- Mcnair, A., Quane, A., Russell, C., Perry, G., Townley, L., Bruce N., & Shaw, R. (2002). Loss portfolio transfers (Giro Working Party Paper).
- Parker, G. (1994). Two stochastic approaches for discounting actuarial functions. ASTIN Bulletin: The Journal of the IAA, 24(2), 167-181.
- Pentikainen, T., & Rantala, J. (1986). Run-off risk as a part of claims fluctuation. ASTIN Bulletin: The Journal of the IAA, 16(2), 113-147.
- Pentikainen, T., & Rantala, J. (1992). A simulation procedure for comparing different claims reserving methods. ASTIN Bulletin: The Journal of the IAA, 22(2), 191-216.
- Wilkie, A. D. (1984). Using a stochastic model to estimate the distribution of real rates return on ordinary shares. Transactions of 22 Congress of Actuaries.