Papers, ranked by score

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

Systemic values-at-risk and their sample-average approximations

This paper investigates the convergence properties of sample-average approximations (SAA) for set-valued systemic risk measures. We assume that the systemic risk measure is defined using a general aggregation function with some continuity properties and value-at-risk applied as a monetary risk measu

Lab Rats Math 8.5 Rigor 4.5 ·  August 16, 2024

Can Nash inform capital requirements? Allocating systemic risk measures

Systemic risk measures aggregate the risks from multiple financial institutions to find system-wide capital requirements. Though much attention has been given to assessing the level of systemic risk, less has been given to allocating that risk to the constituent institutions. Within this work, we pr

Lab Rats Math 8 Rigor 3.5 ·  April 29, 2025

Superhedging under Proportional Transaction Costs in Continuous Time

We revisit the well-studied superhedging problem under proportional transaction costs in continuous time using the recently developed tools of set-valued stochastic analysis. By relying on a simple Black-Scholes-type market model for mid-prices and using continuous trading schemes, we define a dynam

Lab Rats Math 9 Rigor 1.5 ·  November 22, 2025

On the Separability of Vector-Valued Risk Measures

Risk measures for random vectors have been considered in multi-asset markets with transaction costs and financial networks in the literature. While the theory of set-valued risk measures provide an axiomatic framework for assigning to a random vector its set of all capital requirements or allocation

Lab Rats Math 8.5 Rigor 1.5 ·  July 23, 2024

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