Bonus-Malus Systems in Automobile Insurance

Authors:

ISBN: 978-94-010-4275-8 (Print) 978-94-011-0631-3 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xxvi

  2. Introduction Models for Claim Number Distributions

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-10

      Introduction — Definition of a Bonus-Malus System

    3. No Access

      Book Chapter

      Pages 11-19

      A Typical Bonus-Malus Evolution: The Belgian Case

    4. No Access

      Book Chapter

      Pages 21-42

      Models for the Claim Number Distribution

    5. Back Matter

      Pages 43-56

  3. Evaluation of Bonus-Malus Systems

    1. Front Matter

      Pages 57-57

    2. No Access

      Book Chapter

      Pages 59-66

      Tool 1: The Relative Stationary Average Level

    3. No Access

      Book Chapter

      Pages 67-70

      Tool 2: The Coefficient of Variation of the Insured’s Premiums

    4. No Access

      Book Chapter

      Pages 71-89

      Tool 3: The Elasticity of a Bonus-Malus System

    5. No Access

      Book Chapter

      Pages 91-102

      Tool 4: The Average Optimal Retention

    6. No Access

      Book Chapter

      Pages 103-115

      An Index of Toughness

    7. No Access

      Book Chapter

      Pages 117-131

      Comments for Specific Countries. Rate of Convergence

    8. Back Matter

      Pages 133-152

  4. The Design of an Optimal Bonus-Malus System

    1. Front Matter

      Pages 153-153

    2. No Access

      Book Chapter

      Pages 155-181

      Construction of an Optimal System. Expected Value Principle

    3. No Access

      Book Chapter

      Pages 183-196

      Other Loss Functions. Other Premium Calculation Principles

    4. No Access

      Book Chapter

      Pages 197-204

      Penalization of Overcharges

    5. No Access

      Book Chapter

      Pages 205-210

      Allowance for the Severity of Claims

    6. No Access

      Book Chapter

      Pages 211-220

      The Effect of Expense Loadings

  5. An Alternative Proposal: A High Deductible

    1. Front Matter

      Pages 221-221

    2. No Access

      Book Chapter

      Pages 223-244

      A High-Deductible System

    3. No Access

      Book Chapter

      Pages 245-256

      Empirical Determination of the Deductible

  6. Back Matter

    Pages 257-285