1st Edition

XVA Analysis Probabilistic, Risk Measure, and Machine Learning Issues

By Stéphane Crépey Copyright 2026
416 Pages 70 Color Illustrations
by Chapman & Hall

416 Pages 70 Color Illustrations
by Chapman & Hall

XVA Analysis: Probabilistic, Risk Measure, and Machine Learning Issues offers readers an up-to-date and comprehensive exploration of the X-Value Adjustment (XVA) universe and of the embedded risk measure issues inherent within it. The book tackles this subject through the triple lens of finance (wealth transfers), stochastic analysis (enlargement of filtration and BSDEs), and numerical... Read more

Foreword List of Figures List of Tables List of Algorithms Preface Part INTRODUCTION Chapter 0 The Sustainable Black-Scholes Equations Part PRICING Chapter I XVA Analysis From the Balance Sheet Chapter II The Cost-of-Capital XVA Approach in Continuous Time Chapter III Cash Flows Arithmetics Part NUMERICAL METHODS Chapter IV Generalities Chapter V Pathwise CVA Regressions With Oversimulated Defaults Chapter VI CVA Sensitivities, Hedging and Risk Chapter VII Regressing Pathwise FVA, Economic Capital and KVA Part RISK Chapter VIII Derivatives’ Risks as Costs in a One-Period Setup Chapter IX Resolving a Clearing Member’s Default by Equilibrium Chapter X Quantitative Reverse Stress Testing, Bottom Up Part HVA IS WORTH A DETOUR Chapter XI  Hedging Valuation Adjustment and Model Risk Bibliography Index Acknowledgments Author Bio

Biography

Stéphane Crépey is a professor at the mathematics department of Université Paris Cité, in charge of the team mathematical finance and numerical probability at LPSM (Laboratoire de Probabilités, Statistique et Modélisation) and of the M2MO quantitative finance program.