Papers, ranked by score

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

Robust optimized certainty equivalents and quantiles for loss positions with distribution uncertainty

The paper investigates the robust optimized certainty equivalents and analyzes the relevant properties of them as risk measures for loss positions with distribution uncertainty. On this basis, the robust generalized quantiles are proposed and discussed. The robust expectiles with two specific penali

Lab Rats Math 8.5 Rigor 3 ·  April 10, 2023

Maximum principle for robust utility optimization via Tsallis relative entropy

This paper investigates an optimal consumption-investment problem featuring recursive utility via Tsallis relative entropy. We establish a fundamental connection between this optimization problem and a quadratic backward stochastic differential equation (BSDE), demonstrating that the value function

Lab Rats Math 9.5 Rigor 1.5 ·  September 25, 2025

Optimal Consumption-Investment with Epstein-Zin Utility under Leverage Constraint

We study optimal portfolio choice under Epstein-Zin recursive utility in the presence of general leverage constraints. We first establish that the optimal value function is the unique viscosity solution to the associated Hamilton-Jacobi-Bellman (HJB) equation, by developing a new dynamic programming

Lab Rats Math 9.5 Rigor 1 ·  September 26, 2025

Robust distortion risk measures with linear penalty under distribution uncertainty

The paper investigates the robust distortion risk measure with linear penalty function under distribution uncertainty. The distribution uncertainties are characterized by predetermined moment conditions or constraints on the Wasserstein distance. The optimal quantile distribution and the optimal val

Lab Rats Math 8.5 Rigor 1.5 ·  March 20, 2025

Consumption-investment optimization with Epstein-Zin utility in unbounded non-Markovian markets

The paper investigates the consumption-investment problem for an investor with Epstein-Zin utility in an incomplete market. A non-Markovian environment with unbounded parameters is considered, which is more realistic in practical financial scenarios compared to the Markovian setting. The optimal con

Lab Rats Math 8.5 Rigor 1.5 ·  July 29, 2024

Set-valued Star-Shaped Risk Measures

In this paper, we introduce a new class of set-valued risk measures, named set-valued star-shaped risk measures. Motivated by the results of scalar monetary and star-shaped risk measures, this paper investigates the representation theorems in the set-valued framework. It is demonstrated that set-val

Lab Rats Math 8.5 Rigor 1.5 ·  February 28, 2024

Dynamic star-shaped risk measures and $g$-expectations

Motivated by the results of static monetary or star-shaped risk measures, the paper investigates the representation theorems in the dynamic framework. We show that dynamic monetary risk measures can be represented as the lower envelope of a family of dynamic convex risk measures, and normalized dyna

Lab Rats Math 8.5 Rigor 1.5 ·  May 4, 2023

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