Statistical Tools for Finance and Insurance  
 

20 Premiums, Investments, and Reinsurance
20.1 Introduction
20.2 Single-Period Criterion and the Rate of Return on Capital
20.3 The Top-down Approach to Individual Risks Pricing
20.4 Rate of Return and Reinsurance Under the Short Term Criterion
20.5 Ruin Probability Criterion when the Initial Capital is Given
20.5.1 Approximation Based on Lundberg Inequality
20.5.2 ``Zero'' Approximation
20.5.3 Cramér-Lundberg Approximation
20.5.4 Beekman-Bowers Approximation
20.5.5 Diffusion Approximation
20.5.6 De Vylder Approximation
20.5.7 Subexponential Approximation
20.5.8 Panjer Approximation
20.6 Ruin Probability Criterion and the Rate of Return
20.7 Ruin Probability, Rate of Return and Reinsurance
20.8 Final remarks
Bibliography

 
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