Zhibin, L. and Guo, J. (2010) Optimal Proportional Reinsurance under Two Criteria: Maximizing the Expected Utility and Minimizing the Value at Risk. The ANZIAM Journal, 51, 449-463.
https://doi.org/10.1017/S1446181110000878

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.