Papers, ranked by score

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

Measuring Financial Resilience Using Backward Stochastic Differential Equations

We introduce the resilience rate as a measure of financial resilience. It captures the expected rate at which a dynamic risk measure recovers, i.e., bounces back, when the risk-acceptance set is breached. We develop the corresponding stochastic calculus by establishing representation theorems for ex

Lab Rats Math 9 Rigor 2 ·  May 12, 2025

Geometric BSDEs

We introduce and develop the concepts of Geometric Backward Stochastic Differential Equations (GBSDEs, for short) and two-driver BSDEs. We demonstrate their natural suitability for modeling continuous-time dynamic return risk measures. We characterize a broad spectrum of associated, auxiliary ordina

Lab Rats Math 9.5 Rigor 1.5 ·  May 15, 2024

Dynamic Return and Star-Shaped Risk Measures via BSDEs

This paper establishes characterization results for dynamic return and star-shaped risk measures induced via backward stochastic differential equations (BSDEs). We first characterize a general family of static star-shaped functionals in a locally convex Fréchet lattice. Next, employing the Pasch-Hau

Lab Rats Math 9.5 Rigor 1.5 ·  July 7, 2023

Law-Invariant Return and Star-Shaped Risk Measures

This paper presents novel characterization results for classes of law-invariant star-shaped functionals. We begin by establishing characterizations for positively homogeneous and star-shaped functionals that exhibit second- or convex-order stochastic dominance consistency. Building on these characte

Lab Rats Math 9 Rigor 1.5 ·  October 30, 2023

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