COMPETITIVE EQUILIBRIA WITH DISTORTION RISK MEASURES. Issue 3 (3rd July 2015)

• Record Type: Journal Article
• Authors: Boonen, Tim J.
• Is Part Of: ASTIN bulletin. Volume 45:Issue 3(2015)
• Page Start: 703
• Page End: 728
• Publication Date: 2015-07-03
• Subjects: Insurance -- Mathematics -- Periodicals; Risk (Insurance) -- Mathematics -- Periodicals; 368.01
• DOI: 10.1017/asb.2015.11
• Languages: English
• ISSNs: 0515-0361

Abstract

<abstract abstract-type="normal"> <title>Abstract</title> <p>This paper studies optimal risk redistribution between firms, such as banks or insurance companies. The introduction of the Basel II regulation and the Swiss Solvency Test has increased the use of risk measures to evaluate financial or insurance risk. We consider the case where firms use a distortion risk measure (also called dual utility) to evaluate risk. The paper first characterizes all Pareto optimal redistributions. Thereafter, it characterizes all competitive equilibria. It presents three conditions that are jointly sufficient for existence of a unique equilibrium redistribution. This equilibrium's redistribution and prices are provided in closed form via a representative agent.</p> </abstract>