Papers, ranked by score

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

The McCormick martingale optimal transport

Martingale optimal transport (MOT) often yields broad price bounds for options, constraining their practical applicability. In this study, we extend MOT by incorporating causality constraints among assets, inspired by the nonanticipativity condition of stochastic processes. This, however, introduces

Holy Grail Math 8.5 Rigor 6 ·  January 28, 2024

Goal-based portfolio selection with mental accounting

We present a continuous-time portfolio selection framework that reflects goal-based investment principles and mental accounting behavior. In this framework, an investor with multiple investment goals constructs separate portfolios, each corresponding to a specific goal, with penalties imposed on fun

Lab Rats Math 8.5 Rigor 3 ·  June 7, 2025

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

Goal-based portfolio selection with fixed transaction costs

We study a goal-based portfolio selection problem in which an investor aims to meet multiple financial goals, each with a specific deadline and target amount. Trading the stock incurs a strictly positive transaction cost. Using the stochastic Perron’s method, we show that the value function is the u

Lab Rats Math 9 Rigor 2 ·  October 24, 2025

Fitted value iteration methods for bicausal optimal transport

We develop a fitted value iteration (FVI) method to compute bicausal optimal transport (OT) where couplings have an adapted structure. Based on the dynamic programming formulation, FVI adopts a function class to approximate the value functions in bicausal OT. Under the concentrability condition and

Philosophers ·  June 22, 2023

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