A risk-averse agent does not necessarily decrease the optimal insurance whenever a beneficial change in the distribution of final wealth occurs. This paper provides sufficient conditions to guarantee such a decrease. Beneficial changes can be induced by either a beneficial loss-distribution shift, by a modification of the dependence structure between the randomness sources, or by both of these. Conditions for each case are stated. Hadar-Seo and Meyer results turn out as special cases.
Beneficial Changes in Random Variables via Copulas: An Application to Insurance
TIBILETTI, Luisa
1995-01-01
Abstract
A risk-averse agent does not necessarily decrease the optimal insurance whenever a beneficial change in the distribution of final wealth occurs. This paper provides sufficient conditions to guarantee such a decrease. Beneficial changes can be induced by either a beneficial loss-distribution shift, by a modification of the dependence structure between the randomness sources, or by both of these. Conditions for each case are stated. Hadar-Seo and Meyer results turn out as special cases.
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