Special Session 59: Backward Stochastic Volterra Integral Equations and Time Inconsistent Optimal Control Problems

Asset Pricing with $\alpha$-maxmim Expected Utility Model
Xuedong He
The Chinese University of Hong Kong
Hong Kong
Co-Author(s):    Jiacheng Fan and Xuedong He and Ruocheng Wu
Abstract:
We study an asset pricing problem in which a representative agent trades a risky stock, a risk-free asset, and human capital to maximize her preference value of consumption represented by the $\alpha$-maxmin expected utility model. This preference model is known to lead to time inconsistency, so we consider intra-personal equilibrium for the representative agent and define the market equilibrium to the set of asset prices under which the intra-personal equilibrium strategy clears the market. We prove that there exists a unique market equilibrium and the asset prices are determined by the solution to a second-order ordinary differential equation. Finally, we conduct comparative statics to study the effect of the agent`s ambiguity attitude on the asset prices. This is a joint work with Jiacheng Fan and Ruocheng Wu.