Description: 1 Introduction: Models for Claim Number Distributions.- 1 Introduction: Definition of a Bonus-Malus System.- 2 A Typical Bonus-Malus Evolution: The Belgian Case.- 3 Models for the Claim Number Distribution.- 2 Evaluation of Bonus-Malus Systems.- 4 Tool 1: The Relative Stationary Average Level.- 5 Tool 2: The Coefficient of Variation of the Insured's Premiums.- 6 Tool 3: The Elasticity of the Bonus-Malus System.- 7 Tool 4: The Average Optimal Retention.- 8 An Index of Toughness.- 9 Comments for Specific Countries. Rate of Convergence.- 3 The Design of an Optimal Bonus-Malus System.- 10 Construction of an Optimal System. Expected Value Principle.- 11 Other Loss Functions. Other Premium Calculation Principles.- 12 Penalization of Overcharges.- 13 Allowance for the Severity of Claims.- 14 The Effect of Expense Loadings.- 4 An Alternative Proposal: A High Deductible.- 15 A High-Deductible System.- 16 Empirical Determination of the Deductible.- References.- Author Index.- About the Author.

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