Discrete‐time risk sensitive portfolio optimization with proportional transaction costs

M Pitera, Ł Stettner - Mathematical Finance, 2023 - Wiley Online Library
In this paper we consider a discrete‐time risk sensitive portfolio optimization over a long time
horizon with proportional transaction costs. We show that within the log‐return iid framework …

Data-driven non-parametric robust control under dependence uncertainty

E Bayraktar, T Chen - Peter Carr Gedenkschrift: Research Advances …, 2024 - World Scientific
We consider a multi-period stochastic control problem where the multivariate driving
stochastic factor of the system has known marginal distributions but uncertain dependence …

Equilibrium control theory for Kihlstrom-Mirman preferences in continuous time

LDG Aquino, S Desmettre, Y Havrylenko… - arXiv preprint arXiv …, 2024 - arxiv.org
In intertemporal settings, the multiattribute utility theory of Kihlstrom and Mirman suggests
the application of a concave transform of the lifetime utility index. This construction, while …

Nonparametric adaptive bayesian stochastic control under model uncertainty

T Chen, J Myung - arXiv preprint arXiv:2011.04804, 2020 - arxiv.org
In this paper we propose a new methodology for solving a discrete time stochastic
Markovian control problem under model uncertainty. By utilizing the Dirichlet process, we …