Online portfolio selection with state-dependent price estimators and transaction costs

S Guo, JW Gu, CH Fok, WK Ching - European Journal of Operational …, 2023 - Elsevier
Artificial intelligence (AI) techniques have been applied to the online portfolio selection
(OLPS) problem, a topic attracting increasing attention. In brief, OLPS is the task of …

Dynamic mean–variance problem with frictions

A Bensoussan, G Ma, CC Siu, SCP Yam - Finance and Stochastics, 2022 - Springer
We study a dynamic mean–variance portfolio selection problem with return predictability and
trading frictions from price impact. Applying mean-field type control theory, we provide a …

Adaptive online mean-variance portfolio selection with transaction costs

S Guo, JW Gu, WK Ching, B Lyu - Quantitative Finance, 2024 - Taylor & Francis
Online portfolio selection is attracting increasing attention in both artificial intelligence and
finance communities due to its efficiency and practicability in deriving optimal investment …

Closed-loop equilibrium strategies for general time-inconsistent optimal control problems

T Wang, H Zheng - SIAM Journal on Control and Optimization, 2021 - SIAM
In this paper we introduce a general framework for time-inconsistent optimal control
problems. We characterize the closed-loop equilibrium strategy in both the integral and …

Optimal pairs trading with dynamic mean-variance objective

DM Zhu, JW Gu, FH Yu, TK Siu, WK Ching - Mathematical Methods of …, 2021 - Springer
Pairs trading is a typical example of a convergence trading strategy. Investors buy relatively
under-priced assets simultaneously, and sell relatively over-priced assets to exploit …

Robust equilibrium strategies for time-inconsistent stochastic optimal control problems with applications

J Kang, Z Gou, N Huang - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
In this paper, a new robust time-inconsistent stochastic optimal control problem is
investigated under a general jump-diffusion model. Such a problem can be described as a …

Robust equilibrium strategy for mean-variance-skewness portfolio selection problem

J Kang, N Huang, Z Hu, BZ Yang - arxiv preprint arxiv:2201.06233, 2022 - arxiv.org
This paper considers a robust time-consistent mean-variance-skewness portfolio selection
problem for an ambiguity-averse investor by taking into account wealth-dependent risk …

A level-set approach for stochastic optimal control problems under controlled-loss constraints

G Bouveret, A Picarelli - Journal of Optimization Theory and Applications, 2020 - Springer
We study a family of optimal control problems under a set of controlled-loss constraints
holding at different deterministic dates. The characterization of the associated value function …

Mean-Variance Portfolio Selection with Partial Information: A Game-theoretic Formulation

L Li, K Liu, JW Gu - Available at SSRN 4135532, 2022 - papers.ssrn.com
This paper studies the mean-variance portfolio selection under the assumption that the
market state is modulated by a hidden Markov chain which is unobservable to investors. We …

Optimal Pairs Trading with Dynamic Mean-Variance

D Zhu, JW Gu, FH Yu, TK Siu… - Available at SSRN …, 2019 - papers.ssrn.com
Pairs trading is one of convergence trades, which simultaneously buy relatively underpriced
assets and sell relatively overpriced assets to exploit temporary mispricing. This paper …