Papers, ranked by score

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

A note on robust convex risk measures

In this paper, we refine and generalize closed forms for worst-case law invariant convex risk measures with uncertainty sets based on: i) closed balls under $p$-norms and Wasserstein distance; and ii) moment constraints involving mean and variance. We also characterize the argmax of the worst-case p

Holy Grail Math 8.5 Rigor 5 ·  June 18, 2024

Ranking Metrics: Extending Acceptability and Performance Indexes

This paper develops an axiomatic framework for ranking metrics, a general class of functionals for evaluating and ordering financial or insurance positions. Unlike traditional risk-adjusted performance measures-such as the Sharpe ratio, RAROC, or Omega-that express reward per unit of risk, ranking m

Lab Rats Math 8 Rigor 4.5 ·  April 6, 2026

Robust risk measures: an averaging approach

We develop an averaging approach to robust risk measurement under payoff uncertainty. Instead of taking a worst-case value over an uncertainty neighborhood, we weight nearby payoffs more heavily under a chosen metric and average the baseline risk measure. We prove continuity in the neighborhood radi

Lab Rats Math 8.5 Rigor 3 ·  March 25, 2026

Optimal hedging with variational preferences under convex risk measures

We expose a theoretical hedging optimization framework with variational preferences under convex risk measures. We explore a general dual representation for the composition between risk measures and utilities. We study the properties of the optimization problem as a convex and monotone map per se. W

Lab Rats Math 8.5 Rigor 1.5 ·  July 3, 2024

Set risk measures

We introduce the concept of set risk measures (SRMs), which are real-valued maps defined on the space of all non-empty, closed, and bounded sets of almost surely bounded random variables. Traditional risk measures typically operate on random variables, but SRMs extend this framework to sets of rando

Lab Rats Math 9 Rigor 1 ·  July 26, 2024

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