Leader–follower stochastic differential game with asymmetric information and applications

J Shi, G Wang, J Xiong - Automatica, 2016 - Elsevier
This paper is concerned with a leader–follower stochastic differential game with asymmetric
information, where the information available to the follower is based on some sub-σ-algebra …

Existence and uniqueness results for BSDE with jumps: the whole nine yards

A Papapantoleon, D Possamaï, A Saplaouras - 2018 - projecteuclid.org
This paper is devoted to obtaining a wellposedness result for multidimensional BSDEs with
possibly unbounded random time horizon and driven by a general martingale in a filtration …

Second order backward SDE with random terminal time

Y Lin, Z Ren, N Touzi, J Yang - 2020 - projecteuclid.org
Backward stochastic differential equations extend the martingale representation theorem to
the nonlinear setting. This can be seen as path-dependent counterpart of the extension from …

[PDF][PDF] Mean-variance asset-liability management under CIR interest rate and the family of 4/2 stochastic volatility models with derivative trading

Y Zhang - J. Ind. Manag. Optim, 2023 - researchgate.net
This paper investigates the effects of derivative trading on the performance of asset-liability
management in the presence of stochastic interest rate and stochastic volatility under the …

[HTML][HTML] FBSDEs with time delayed generators: Lp-solutions, differentiability, representation formulas and path regularity

G Dos Reis, A Réveillac, J Zhang - Stochastic processes and their …, 2011 - Elsevier
We extend the work of Delong and Imkeller (2010)[6],[7] concerning backward stochastic
differential equations with time delayed generators (delay BSDEs). We give moment and a …

Optimal DC pension investment with square-root factor processes under stochastic income and inflation risks

Y Zhang - Optimization, 2023 - Taylor & Francis
This paper studies optimally defined contribution (DC) pension investment problems under
the expected utility maximization framework with stochastic income and inflation risks. The …

Malliavin Calculus and Its Application to Robust Optimal Investment for an Insider

C Yu, Y Cheng - Mathematics, 2023 - mdpi.com
In the theory of portfolio selection, there are few methods that effectively address the
combined challenge of insider information and model uncertainty, despite numerous …

Random time horizon BSDEs with stochastic monotonicity and general growth generators and related PDEs

X Li, Y Zhang, S Fan - arXiv preprint arXiv:2402.14435, 2024 - arxiv.org
This paper is devoted to solving a multidimensional backward stochastic differential
equation (BSDE) with a general random terminal time, which may take values in [0,+ infinity] …

[PDF][PDF] Non-continuous double barrier reflected BSDEs with jumps under a stochastic Lipschitz coefficient

M Marzougue, M El Otmani - Communications on Stochastic …, 2018 - repository.lsu.edu
We consider a doubly reflected backward stochastic differential equations with jumps where
the lower barrier and the opposite of the upper barrier are assumed to be right upper …

Lp-solutions of backward doubly stochastic differential equations with time delayed generators

M Karouf - Stochastic Analysis and Applications, 2024 - Taylor & Francis
Given p> 1, we study L p-solutions of backward doubly stochastic differential equations with
time delayed generators (delay BDSDEs for short) whose generators Lipschitz continuous in …