Provisions and Economic Capital for Credit Losses

Paper: arXiv 2401.07728

Authors: Dorinel Bastide, Stéphane Crépey

Abstract

Based on supermodularity ordering properties, we show that convex risk measures of credit losses are nondecreasing w.r.t. credit-credit and, in a wrong-way risk setup, credit-market, covariances of elliptically distributed latent factors. These results support the use of such setups for computing credit provisions and economic capital or for conducting stress test exercises and risk management analysis.

Complexity vs Empirical Score

• Math Complexity: 8.0/10
• Empirical Rigor: 2.5/10
• Quadrant: Lab Rats — theoretically deep, empirically untested

Why this score: The paper relies heavily on advanced mathematical concepts such as supermodularity ordering and elliptical distributions to analyze credit losses and wrong-way risk. However, it is purely theoretical with minimal empirical validation, limiting its immediate backtesting and practical reproducibility.

Research Flowchart

  flowchart TD
    A[Research Goal: Evaluate impact of credit & market covariances on credit risk measures] --> B[Inputs: Elliptically distributed latent factors & Wrong-Way Risk framework]
    B --> C[Methodology: Apply supermodularity ordering properties]
    C --> D[Compute Convex Risk Measures for credit losses]
    D --> E[Outcome: Prove risk measures are nondecreasing w.r.t. credit-credit & credit-market covariances]
    E --> F[Applications: Enhanced Credit Provisions, Economic Capital, Stress Testing & Risk Management]