Papers, ranked by score

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

Optimal Investment to Reach a Financial Goal: A Stochastic Control Framework

We develop a framework for an investor who trades until she either reaches a financial goal or an exogenous deadline arrives. Analogous to utility functions over wealth, we measure satisfaction with the timing of reaching a goal by a discount function. For a continuous-time market where a stochastic

Lab Rats Math 9 Rigor 3 ·  October 7, 2026

Predictable Relative Forward Performance Processes: Multi-Agent and Mean Field Games for Portfolio Management

We introduce predictable relative forward performance processes (PRFPP) as a new framework for studying portfolio management within a competitive and incomplete market environment. Each agent trades a distinct stock following a binomial distribution with probabilities for a positive return depending

Lab Rats Math 8.5 Rigor 2.5 ·  November 8, 2023

Forward Performance Processes under Multiple Default Risks

This article constructs a forward exponential utility in a market with multiple defaultable risks. Using the Jacod-Pham decomposition for random fields, we first characterize forward performance processes in a defaultable market under the default-free filtration. We then construct a forward utility

Lab Rats Math 9.5 Rigor 1.5 ·  January 5, 2026

Recursive Optimal Stopping with Poisson Stopping Constraints

This paper solves a recursive optimal stopping problem with Poisson stopping constraints using the penalized backward stochastic differential equation (PBSDE) with jumps. Stopping in this problem is only allowed at Poisson random intervention times, and jumps play a significant role not only through

Lab Rats Math 9.5 Rigor 1.5 ·  July 25, 2024

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