Mean-Variance Asset-Liability Management with State-Dependent Risk Aversion

Qian Zhao, Jiaqin Wei and Rongming Wang

Papers from arXiv.org

Abstract: In this paper, we consider the asset-liability management under the mean-variance criterion. The financial market consists of a risk-free bond and a stock whose price process is modeled by a geometric Brownian motion. The liability of the investor is uncontrollable and is modeled by another geometric Brownian motion. We consider a specific state-dependent risk aversion which depends on a power function of the liability. By solving a flow of FBSDEs with bivariate state process, we obtain the equilibrium strategy among all the open-loop controls for this time-inconsistent control problem. It shows that the equilibrium strategy is a feedback control of the liability.

Date: 2013-04
New Economics Papers: this item is included in nep-upt
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