Optimization Problems of Excess-of-Loss Reinsurance and Investment under the CEV Model. (16th May 2013)

• Record Type: Journal Article
• Authors: Li, Qicai; Gu, Mengdi
• Other Names: Gripenberg G. Academic Editor.; Schimperna G. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2013(2013)
• Publication Date: 2013-05-16
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.1155/2013/383265
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : We consider that the insurer purchases excess-of-loss reinsurance and invests its wealth in the constant elasticity of variance (CEV) stock market. We model risk process by Brownian motion with drift and study the optimization problem of maximizing the exponential utility of terminal wealth under the controls of excess-of-loss reinsurance and investment. Using stochastic control theory and power transformation technique, we obtain explicit expressions for the optimal polices and value function. We also show that the optimal excess-of-loss reinsurance is always better than optimal proportional reinsurance. Some numerical examples are given.