Papers, ranked by score

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

Double free boundary problem for defaultable corporate bond with credit rating migration risks and their asymptotic behaviors

In this work, a pricing model for a defaultable corporate bond with credit rating migration risk is established. The model turns out to be a free boundary problem with two free boundaries. The latter are the level sets of the solution but of different kinds. One is from the discontinuous second orde

Lab Rats Math 8.5 Rigor 3 ·  January 26, 2023

Optimal Carbon Emission Control With Allowances Purchasing

In this paper, we consider a company can simultaneously reduce its emissions and buy carbon allowances at any time. We establish an optimal control model involving two stochastic processes with two control variables, which is a singular control problem. This model can then be converted into a Hamilt

Lab Rats Math 8.5 Rigor 2 ·  July 11, 2024

Merton's Problem with Recursive Perturbed Utility

The classical Merton investment problem predicts deterministic, state-dependent portfolio rules; however, laboratory and field evidence suggests that individuals often prefer randomized decisions leading to stochastic and noisy choices. Fudenberg et al. (2015) develop the additive perturbed utility

Lab Rats Math 8.5 Rigor 1.5 ·  February 14, 2026

Extended HJB Equation for Mean-Variance Stopping Problem: Vanishing Regularization Method

This paper studies the time-inconsistent MV optimal stopping problem via a game-theoretic approach to find equilibrium strategies. To overcome the mathematical intractability of direct equilibrium analysis, we propose a vanishing regularization method: first, we introduce an entropy-based regulariza

Lab Rats Math 8.5 Rigor 1.5 ·  October 28, 2025

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