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Optimal risk sharing with background risk

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risksharingrmarco20050329.pdf (229.1Kb)
Date
2005
Notes
Le fichier attaché est une version éditée dans les Cahiers de la Chaire "Les Particuliers face aux Risques" de l'Institut de Finance de Dauphine, cahier n° 4, décembre 2006
Dewey
Probabilités et mathématiques appliquées
Sujet
Efficient contracts; Stochastically increasing; Incomplete markets; Insurance
JEL code
D52; G22
Journal issue
Journal of Economic Theory
Volume
133
Number
1
Publication date
11-2005
Article pages
152-176
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.jet.2005.10.002
URI
https://basepub.dauphine.fr/handle/123456789/698
Collections
  • CEREMADE : Publications
  • Chaire Les Particuliers face aux risques : Analyse et réponse des marchés
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Author
Scarsini, Marco
Dana, Rose-Anne
Type
Article accepté pour publication ou publié
Abstract (EN)
This paper examines qualitative properties of efficient insurance contracts in the presence of background risk. In order to get results for all strictly risk-averse expected utility maximizers, the concept of “stochastic increasingness” is used. Different assumptions on the stochastic dependence between the insurable and uninsurable risk lead to different qualitative properties of the efficient contracts. The new results obtained under hypotheses of dependent risks are compared to classical results in the absence of background risk or to the case of independent risks. The theory is further generalized to nonexpected utility maximizers.

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