Representation of homothetic forward performance processes in stochastic factor models via ergodic and infinite horizon BSDE
Gechun Liang () and
Papers from arXiv.org
In an incomplete market, with incompleteness stemming from stochastic factors imperfectly correlated with the underlying stocks, we derive representations of homothetic (power, exponential and logarithmic) forward performance processes in factor-form using ergodic BSDE. We also develop a connection between the forward processes and infinite horizon BSDE, and, moreover, with risk-sensitive optimization. In addition, we develop a connection, for large time horizons, with a family of classical homothetic value function processes with random endowments.
Date: 2015-11, Revised 2016-11
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1511.04863
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