Robust retirement and life insurance with inflation risk and model ambiguity

K Park, HY Wong, T Yan - Insurance: Mathematics and Economics, 2023 - Elsevier
We study a robust consumption-investment problem with retirement and life insurance
decisions for an agent who is concerned about inflation risk and model ambiguity. Assuming …

Who are I: Time inconsistency and intrapersonal conflict and reconciliation

XD He, XY Zhou - … Analysis, Filtering, and Stochastic Optimization: A …, 2022 - Springer
Time inconsistency is prevalent in dynamic choice problems: a plan of actions to be taken in
the future that is optimal for an agent today may not be optimal for the same agent in the …

Dynamic Mean-Variance Asset Allocation in General Incomplete Markets A Nonlocal BSDE-based Feedback Control Approach

Q Lei, CS Pun, J Tang - arXiv preprint arXiv:2412.18498, 2024 - arxiv.org
This paper studies dynamic mean-variance (MV) asset allocation problems in general
incomplete markets. Besides of the conventional MV objective on portfolio's terminal wealth …

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 …

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 …

Equilibrium transport with time-inconsistent costs: An application to matching problems in the job market

E Bayraktar, B Han - arXiv preprint arXiv:2302.01498, 2023 - arxiv.org
Given two probability measures on sequential data, we investigate the transport problem
with time-inconsistent preferences under a discrete-time setting. Motivating examples are …

Time-consistent mean-variance reinsurance-investment problem with long-range dependent mortality rate

L Wang, MC Chiu, HY Wong - Scandinavian Actuarial Journal, 2023 - Taylor & Francis
This paper investigates the time-consistent mean-variance reinsurance-investment (RI)
problem faced by life insurers. Inspired by recent findings that mortality rates exhibit long …

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 …

Distributionally robust risk evaluation with a causality constraint and structural information

B Han - arXiv preprint arXiv:2203.10571, 2022 - arxiv.org
This work studies distributionally robust evaluation of expected function values over
temporal data. A set of alternative measures is characterized by the causal optimal transport …