An Application of Stochastic Control Theory to Financial Economics
نویسندگان
چکیده
We consider a portfolio optimization problem which is formulated as a stochastic control problem. Risky asset prices obey a logarithmic Brownian motion, and interest rates vary according to an ergodic Markov diffusion process. The goal is to choose optimal investment and consumption policies to maximize the infinite horizon expected discounted HARA utility of consumption. A dynamic programming principle is used to derive the dynamic programming equation (DPE). The sub-supersolution method is used to obtain existence of solutions of the DPE. The solutions are then used to derive the optimal investment and consumption policies.
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عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 43 شماره
صفحات -
تاریخ انتشار 2004