The Right Wing of the SABR Smile with an Absorbing Boundary: Resolution of Conjectures of Henry-Labordère

By Zeyu Cao, Shaosai Huang

Rating

1825
Battle Count: 52

Relevance

8/10
Highly relevant for practitioners using SABR models for interest rate options. It corrects the implied volatility wing behavior for negative correlations, which is critical for pricing deep out-of-the-money options and managing tail risk in fixed-income portfolios.

Implementation Complexity

9/10
The theoretical derivation is highly complex, involving advanced stochastic analysis and differential geometry. Implementing the numerical verification requires sophisticated Monte Carlo techniques and variational solvers.

Reproducibility

4/5
The paper provides detailed proofs, numerical methods in Appendix B, and mentions supplementary material containing code, data, and a Lean formalization of specific components. However, full regeneration of all Monte Carlo results from recorded seeds is not guaranteed for every cell.

About this paper

Methodology: Probabilistic Analysis and Geometric Identification. Problem types: Risk Management, Option Pricing, Asymptotic Analysis.

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