Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

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

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, our framework can accommodate running MV objectives with general (non-exponential) discounting factors while in general, any

Lab Rats Math 9 Rigor 3 ·  December 24, 2024

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 derive sufficient conditions for achieving the Nash equilibrium, which corresponds to a time-consistent (TC) robust policy, u

Lab Rats Math 8.5 Rigor 2.5 ·  June 29, 2023

On the Well-posedness of Hamilton-Jacobi-Bellman Equations of the Equilibrium Type

This paper studies the well-posedness of a class of nonlocal parabolic partial differential equations (PDEs), or equivalently equilibrium Hamilton-Jacobi-Bellman equations, which has a strong tie with the characterization of the equilibrium strategies and the associated value functions for time-inco

Lab Rats Math 9.5 Rigor 1.5 ·  July 5, 2023

A Malliavin Calculus Approach to Backward Stochastic Volterra Integral Equations

In this paper, we establish existence, uniqueness, and regularity properties of the solutions to multi-dimensional backward stochastic Volterra integral equations (BSVIEs), whose (possibly random) generator reflects nonlinear dependence on both the solution process and the martingale integrand compo

Lab Rats Math 9.5 Rigor 1 ·  December 26, 2024

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