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Ihedioha, S.A. and Osu, B.O. (2015) Optimal Probability of Survival of an Insurer and a Reinsurer under Proportional Reinsurance and Power Utility Preference. International Journal of Innovation in Science and Mathematics, 3, 2347-9051.
has been cited by the following article:
TITLE: Correlation of Brownian Motions and Its Impact on a Reinsurer’s Optimal Investment Strategy and Reinsured Proportion under Exponential Utility Maximization and Constant Elasticity of Variance Model
AUTHORS: Silas A. Ihedioha
KEYWORDS: Correlation of Brownian Motions, Investment Strategy, Reinsured Proportion, Exponential Utility Constant Elasticity of Variance, Hamilton-Jacobi-Bellman Equation
JOURNAL NAME: Open Access Library Journal, Vol.5 No.10, October 30, 2018
ABSTRACT: This work investigated a reinsurer’s optimal investment strategy and the pro-portion he accepted for reinsurance under proportional reinsurance and expo-nential utility preference in the cases where the Brownian motions were corre-lated and where they did not correlate. The reinsurer invested in a market in which the price process of the risky asset is governed by constant elasticity of variance (CEV) model. The required Hamilton-Jacobi-Bellman Equations (HJB) were derived using the Ito’s lemma from which the optimal investment strategy and reinsured proportion were calculated. Also investigated were the implications of the correlation coefficient.
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