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Bibliographic Details
Main Authors: Gu, Lingqi, Lin, Yiqing
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.04506
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Table of Contents:
  • We investigate expected utility maximization problems from the terminal liquidation value in continuous time in markets with transaction costs and one fixed consistent price system, where a non-concave utility function is defined on the positive half real line. The sufficient conditions are given by the convex conjugate of the utility function, then the existence of the optimizer is proved by a maximizing sequence. Finally, we show that the value function of the envelope of the utility function and the concave envelope of the value function are coincide.