Open-loop equilibrium strategy for mean–variance portfolio problem under stochastic volatility

T Yan, HY Wong - Automatica, 2019 - Elsevier
We formulate the open-loop control framework for time-consistent mean–variance (TCMV)
portfolio problems in incomplete markets with stochastic volatility (SV). We offer the …

Navigating process drift: The power of CUSUM in monitoring air quality processes and maintenance operations

M Riaz, H Alshammari, N Abbas… - Arabian Journal for …, 2024 - Springer
Nowadays, manufacturers face intense pressure to maintain a high standard of quality. Due
to the damage to machine components, manufacturing processes degrade over time …

Robust time-consistent mean–variance portfolio selection problem with multivariate stochastic volatility

T Yan, B Han, CS Pun, HY Wong - Mathematics and financial economics, 2020 - Springer
This paper solves for the robust time-consistent mean–variance portfolio selection problem
on multiple risky assets under a principle component stochastic volatility model. The model …

Robust state-dependent mean–variance portfolio selection: a closed-loop approach

B Han, CS Pun, HY Wong - Finance and stochastics, 2021 - Springer
This paper studies a class of robust mean–variance portfolio selection problems with state-
dependent risk aversion. Model uncertainty, in the sense of considering alternative …

An extended McKean–Vlasov dynamic programming approach to robust equilibrium controls under ambiguous covariance matrix

Q Lei, CS Pun - Applied Mathematics & Optimization, 2023 - Springer
This paper studies a general class of time-inconsistent stochastic control problems under
ambiguous covariance matrix. The time inconsistency is caused in various ways by a …

Nonlocality, nonlinearity, and time inconsistency in stochastic differential games

Q Lei, CS Pun - Mathematical Finance, 2024 - Wiley Online Library
This paper studies the well‐posedness of a class of nonlocal fully nonlinear parabolic
systems, which nest the equilibrium Hamilton–Jacobi–Bellman (HJB) systems that …

A Malliavin Calculus Approach to Backward Stochastic Volterra Integral Equations

Q Lei, CS Pun - arXiv preprint arXiv:2412.19236, 2024 - arxiv.org
In this paper, we establish existence, uniqueness, and regularity properties of the solutions
to multi-dimensional backward stochastic Volterra integral equations (BSVIEs), whose …

Robust Time-inconsistent Linear-Quadratic Stochastic Controls: A Stochastic Differential Game Approach

B Han, CS Pun, HY Wong - arXiv preprint arXiv:2306.16982, 2023 - arxiv.org
This paper studies robust time-inconsistent (TIC) linear-quadratic stochastic control
problems, formulated by stochastic differential games. By a spike variation approach, we …

Robust classical-impulse stochastic control problems in an infinite horizon

CS Pun - Mathematical Methods of Operations Research, 2022 - Springer
This paper establishes a general analytical framework for classical and impulse stochastic
control problems in the presence of model uncertainty. We consider a set of dominated …

[PDF][PDF] Nonlocality, Nonlinearity, and Time Inconsistency in Stochastic Differential Games

Q Leia, CS Puna - arXiv preprint arXiv:2112.14409, 2021 - researchgate.net
This paper proves the existence and uniqueness results (in the sense of maximally defined
regularity) as well as the stability analysis for the solutions to a class of nonlocal fully …