The paper establishes coherence, convexity, and time-consistency properties for expected-maximum-deficit risk measures and derives exact analytical solutions for optimal aggregate minimum reserves under fixed and proportional tolerances.
J., Frey, R., and Embrechts, P
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On the Expected Maximum Deficit and the Optimal Allocation of Reserves
The paper establishes coherence, convexity, and time-consistency properties for expected-maximum-deficit risk measures and derives exact analytical solutions for optimal aggregate minimum reserves under fixed and proportional tolerances.