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arXiv · 1807.01816

Systems of ergodic BSDEs arising in regime switching forward performance processes

Ying Hu·Gechun Liang·Shanjian Tang
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Abstract

We introduce and solve a new type of quadratic backward stochastic differential equation systems defined in an infinite time horizon, called \emph{ergodic BSDE systems}. Such systems arise naturally as candidate solutions to characterize forward performance processes and their associated optimal trading strategies in a regime switching market. In addition, we develop a connection between the solution of the ergodic BSDE system and the long-term growth rate of classical utility maximization problems, and use the ergodic BSDE system to study the large time behavior of PDE systems with quadratic growth Hamiltonians.

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Ying Hu, Gechun Liang, Shanjian Tang. 2018-07-05. Systems of ergodic BSDEs arising in regime switching forward performance processes. https://arxiv.org/abs/1807.01816

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