Robust Markowitz mean‐variance portfolio selection under ambiguous covariance matrix

A Ismail, H Pham - Mathematical Finance, 2019 - Wiley Online Library
This paper studies a robust continuous‐time Markowitz portfolio selection problem where
the model uncertainty affects the covariance matrix of multiple risky assets. This problem is …

Portfolio diversification and model uncertainty: A robust dynamic mean‐variance approach

H Pham, X Wei, C Zhou - Mathematical Finance, 2022 - Wiley Online Library
This paper focuses on a dynamic multi‐asset mean‐variance portfolio selection problem
under model uncertainty. We develop a continuous time framework for taking into account …

A robust Markowitz mean-variance portfolio selection model with an intractable claim

D Hou, ZQ Xu - SIAM Journal on Financial Mathematics, 2016 - SIAM
This paper studies a robust Markowitz mean-variance model where an intractable claim is
involved in the terminal wealth. The term “intractable claim” refers to claims (rewards or …

Robust time-inconsistent stochastic linear-quadratic control with drift disturbance

B Han, CS Pun, HY Wong - Applied Mathematics & Optimization, 2022 - Springer
This paper studies stochastic linear-quadratic control with a time-inconsistent objective and
worst-case drift disturbance. We allow the agent to introduce disturbances to reflect her …

Singular Control in a Cash Management Model with Ambiguity

A Archankul, G Ferrari, T Hellmann… - arXiv preprint arXiv …, 2023 - arxiv.org
We consider a singular control model of cash reserve management, driven by a diffusion
under ambiguity. The manager is assumed to have maxmin preferences over a set of priors …

The Maximal and Minimal Distributions of Wealth Processes in Black–Scholes Markets

S Liu - Mathematics, 2024 - mdpi.com
The Black–Scholes formula is an important formula for pricing a contingent claim in
complete financial markets. This formula can be obtained under the assumption that the …

Robust Portfolio Selection under State-dependent Confidence Set

G Guan, Y Jia, Z Liang - arXiv preprint arXiv:2409.19571, 2024 - arxiv.org
This paper studies the robust portfolio selection problem under a state-dependent
confidence set. The investor invests in a financial market with a risk-free asset and a risky …

Optimal redeeming strategy of stock loans under drift uncertainty

ZQ Xu, F Yi - Mathematics of Operations Research, 2020 - pubsonline.informs.org
In practice, one must recognize the inevitable incompleteness of information while making
decisions. In this paper, we consider the optimal redeeming problem of stock loans under a …

Robust time-inconsistent stochastic linear-quadratic control

B Han, CS Pun, HY Wong - Available at SSRN 3167662, 2019 - papers.ssrn.com
This paper studies stochastic linear-quadratic control problems for an ambiguity-adverse
agent with a time-inconsistent objective. We allow the agent to incorporate disturbances into …

Robust exploratory mean-variance problem with drift uncertainty

C Mou, W Zhang, C Zhou - arXiv preprint arXiv:2108.04100, 2021 - arxiv.org
We solve a min-max problem in a robust exploratory mean-variance problem with drift
uncertainty in this paper. It is verified that robust investors choose the Sharpe ratio with …