Papers, ranked by score

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

A hypothesis test for the long-term calibration in rating systems with overlapping time windows

We present a statistical test that can be used to verify supervisory requirements concerning overlapping time windows for the long-term calibration in rating systems. In a first step, we show that the long-run default rate is approximately normally distributed with respect to random effects in defau

Lab Rats Math 7.5 Rigor 4.5 ·  December 22, 2023

Risk measures based on weak optimal transport

In this paper, we study convex risk measures with weak optimal transport penalties. In a first step, we show that these risk measures allow for an explicit representation via a nonlinear transform of the loss function. In a second step, we discuss computational aspects related to the nonlinear trans

Lab Rats Math 8.5 Rigor 3.5 ·  December 10, 2023

Upper Comonotonicity and Risk Aggregation under Dependence Uncertainty

In this paper, we study dependence uncertainty and the resulting effects on tail risk measures, which play a fundamental role in modern risk management. We introduce the notion of a regular dependence measure, defined on multi-marginal couplings, as a generalization of well-known correlation statist

Lab Rats Math 8.5 Rigor 2.5 ·  June 27, 2024

An axiomatic approach to default risk and model uncertainty in rating systems

In this paper, we deal with an axiomatic approach to default risk. We introduce the notion of a default risk measure, which generalizes the classical probability of default (PD), and allows to incorporate model risk in various forms. We discuss different properties and representations of default ris

Lab Rats Math 8.5 Rigor 2.5 ·  March 14, 2023

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