Open-loop equilibrium strategy for mean–variance portfolio problem under stochastic volatility
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 …
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 …
to the damage to machine components, manufacturing processes degrade over time …
Robust time-consistent mean–variance portfolio selection problem with multivariate stochastic volatility
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 …
on multiple risky assets under a principle component stochastic volatility model. The model …
Robust state-dependent mean–variance portfolio selection: a closed-loop approach
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 …
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 …
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 …
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 …
to multi-dimensional backward stochastic Volterra integral equations (BSVIEs), whose …
Robust Time-inconsistent Linear-Quadratic Stochastic Controls: A Stochastic Differential Game Approach
This paper studies robust time-inconsistent (TIC) linear-quadratic stochastic control
problems, formulated by stochastic differential games. By a spike variation approach, we …
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 …
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 …
regularity) as well as the stability analysis for the solutions to a class of nonlocal fully …