Risk Theory and Reinsurance

  • Griselda Deelstra
  • Guillaume Plantin

Part of the EAA Series book series (EAAS)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Griselda Deelstra, Guillaume Plantin
    Pages 1-43
  3. Griselda Deelstra, Guillaume Plantin
    Pages 45-58
  4. Griselda Deelstra, Guillaume Plantin
    Pages 59-76
  5. Back Matter
    Pages 77-78

About this book


Reinsurance is an important production factor of non-life insurance. The efficiency and the capacity of the reinsurance market directly regulate those of insurance markets. The purpose of this book is to provide a concise introduction to risk theory, as well as to its main application procedures to reinsurance.
 The first part of the book covers risk theory. It presents the most prevalent model of ruin theory, as well as a discussion on insurance premium calculation principles and the mathematical tools that enable portfolios to be ordered according to their risk levels.
 The second part describes the institutional context of reinsurance. It first strives to clarify the legal nature of reinsurance transactions. It describes the structure of the reinsurance market and then the different legal and technical features of reinsurance contracts, known as reinsurance ‘treaties’ by practitioners. 
 The third part creates a link between the theories presented in the first part and the practice described in the second one. Indeed, it sets out, mostly through examples, some methods for pricing and optimizing reinsurance. The authors' aim is to apply the formalism presented in the first part to the institutional framework given in the second part. It is reassuring to find such a relationship between approaches, seemingly abstract, and solutions adopted by practitioners.
 Risk Theory and Reinsurance is mainly aimed at graduate students in actuarial science but will also be useful for practitioners wishing to revive their knowledge of risk theory or to quickly learn about the main mechanisms of reinsurance.


Collective Model Cramer-Lundberg Model Non-Proportional Reinsurance Optimal Design Optimal Priority Optimal Reinsurance Optimal Risk Sharing Premium Calculation Proportional Reinsurance Reinsurance Market Practices Retention Risk Ordering Risk Theory Ruin Theory

Authors and affiliations

  • Griselda Deelstra
    • 1
  • Guillaume Plantin
    • 2
  1. 1.Département de MathématiqueUniversité Libre de BruxellesBrusselsBelgium
  2. 2.Manufacture des TabacsToulouse School of EconomicsToulouseFrance

Bibliographic information