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Title: Stability of the Epstein–Zin problem
We investigate the stability of the Epstein–Zin problem with respect to small distortions in the dynamics of the traded securities. We work in incomplete market model settings, where our parametrization of perturbations allows for joint distortions in returns and volatility of the risky assets and the interest rate. Considering empirically the most relevant specifications of risk aversion and elasticity of intertemporal substitution, we provide a condition that guarantees the convexity of the domain of the underlying problem and results in the existence and uniqueness of a solution to it. Then, we prove the convergence of the optimal consumption streams, the associated wealth processes, the indirect utility processes, and the value functions in the limit when the model perturbations vanish.  more » « less
Award ID(s):
1848339
PAR ID:
10509805
Author(s) / Creator(s):
;
Publisher / Repository:
Wiley Online Library
Date Published:
Journal Name:
Mathematical Finance
ISSN:
0960-1627
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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