Work

Optimal Transport for Continuous-Time Mean-Variance Portfolio Selection

Year: 2026
Type: preprint
Abstract: The continuous-time mean-variance portfolio selection problem is investigated in this paper through a rigorous integration of backward stochastic differential equation (BSDE) and Kantorovich duality theory. We propose a novel analytical framework for addressing feedback control in McKean-Vlasov stochastic systems. By solving three coupled systems of ordinary differential equations (ODEs), we derive an explicit, closed-loop optimal feedback investment strategy.
Language: English
Subfield: Finance
Open Access status: green
OpenAlex ID: W7221808578
Cites: 3
Cited by:
Related to: 10