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The xVA Challenge
A Valuation Adjustment Framework for Modern Derivatives Markets

Jon Gregory (Author)

9781394354450, Wiley

Hardback, published 2 July 2026

720 pages
24.9 x 17.8 x 4.3 cm, 1.134 kg

The definitive guide to counterparty risk and valuation adjustments, updated and revised

In the newly revised fifth edition of The xVA Challenge, veteran quantitative finance and counterparty credit risk expert Jon Gregory delivers an authoritative roadmap to navigating counterparty risk, funding, collateral, capital, and initial margin. He draws on his extensive experience as a former senior practitioner at Barclays Capital, BNP Paribas, and Citigroup to walk you through the most urgent challenges facing risk managers, traders, and derivatives practitioners right now.

The book explores the latest developments in xVA methodology and practice, guiding you through advanced compression tools for counterparty risk optimisation, detailed ColVA analysis with real-world examples, and the evolving mandate of xVA desks in volatile market conditions. It examines FRTB-CVA implementation challenges, current approaches to KVA and MVA in banking operations, and cutting-edge machine learning and algorithmic differentiation techniques.

You’ll also find:

  • Comprehensive coverage of all xVA components including CVA, DVA, FVA, ColVA, KVA, and MVA with practical implementation guidance
  • Detailed analyses of FRTB-CVA regulatory requirements and SA-CVA model development for regulatory approval
  • Advanced compression techniques and optimization strategies for managing counterparty risk and xVA exposure
  • Real-world case studies and examples demonstrating ColVA applications and xVA desk operations during market volatility
  • State-of-the-art computational methods including machine learning approaches and algorithmic differentiation for enhanced calculation efficiency

Perfect for risk managers, traders, derivatives practitioners, and financial regulators, The xVA Challenge, Fifth Edition, offers essential updates and practical tools that contemporary finance professionals need to effectively implement xVA frameworks, optimise counterparty risk management, and navigate an increasingly fraught regulatory landscape.

List of Spreadsheets xix
List of Appendices xxi
Acknowledgements xxiii
About the Author xxv

Part I Background

1 Introduction 3

2 Derivatives 5
2.1 Introduction 5
2.2 The Derivatives Market 7
2.3 Derivative Risks 19
2.4 Central Clearing 24
2.5 Derivatives Risk Modelling 29

3 Counterparty Risk and xVA 35
3.1 Counterparty Risk 35
3.2 Beyond Counterparty Risk 48
3.3 Components of xVA 51

4 Regulation 57
4.1 Capital Requirements 58
4.2 Backstops and Complementary Measures 65
4.3 Liquidity 68
4.4 Clearing and Margining 74

5 What Is xVA? 81
5.1 Overview 81
5.2 Anatomy of xVA 82
5.3 Valuation 91
5.4 Pricing 100

Part II Counterparty Risk Mitigation

6 Netting, Close-Out and Related Aspects 113
6.1 Overview 113
6.2 Cash Flow Netting 114
6.3 Netting in Default 123

7 Collateral, Margin and Settlement 133
7.1 Termination and Reset Features 133
7.2 Basics of Collateralisation 137
7.3 Collateral Terms 144
7.4 Standard CSAs 154
7.5 Impact of Collateral 159

8 Central Clearing 167
8.1 Evolution of Central Clearing 167
8.2 CCP Risk Management 178
8.3 Impact of Central Clearing 185

9 Initial Margin Methodologies 191
9.1 Overview 191
9.2 SPAN 200
9.3 Historical Simulation 206
9.4 Bilateral Initial Margin and the ISDA-SIMM 218

Part III Building Blocks

10 Future Value and Exposure 235
10.1 Credit Exposure 235
10.2 Drivers of Exposure 243
10.3 Portfolio Effects and the Impact of Collateral 253
10.4 Funding, Rehypothecation and Segregation 265

11 Curves 273
11.1 Default Probability 273
11.2 Credit Curve Mapping 280
11.3 Funding and Capital 291

12 Regulatory Methodologies 307
12.1 Overview 307
12.2 Credit Risk (Default Risk) Capital 310
12.3 CVA Risk 312
12.4 Exposure Calculation Methodologies 322
12.5 Examples 337
12.6 CCP Capital Requirements 348

Part IV Valuation Adjustments

13 Discounting and Collateral 355
13.1 Overview 355
13.2 The Starting Point 357
13.3 ColVA and Discounting 360
13.4 Beyond Perfect Collateralisation 374

14 CVA and DVA 379
14.1 Overview 379
14.2 Credit Valuation Adjustment 380
14.3 Debt Valuation Adjustment 388
14.4 Risk Mitigants 395

15 FVA 403
15.1 Overview 403
15.2 FVA Background 404
15.3 Portfolio FVA 423

16 Capital and KVA 437
16.1 Overview 437
16.2 Capital Valuation Adjustment 438
16.3 Management of KVA 451
16.4 KVA Overlaps 459

17 Initial Margin and MVA 463
17.1 Overview 463
17.2 Initial Margin Funding Costs 464
17.3 MVA Market Practice 474
17.4 MVA Overlaps 479

Part V Modelling and Management

18 Credit Curve Quantification 485
18.1 Proxy Curves 485
18.2 Loss Given Default 500

19 Managing xVA 507
19.1 The Role of An xVA Desk 507
19.2 Hedging 515
19.3 Operation of An xVA Desk 536

20 Quantifying Exposure: First-Generation Approaches 549
20.1 Overview 549
20.2 Monte Carlo Methodology 552
20.3 Choice of Models 561
20.4 Collateral Modelling 573
20.5 Examples 580

21 Quantifying Exposure: Second-Generation Approaches 599
21.1 Wrong-Way Risk I 599
21.2 Wrong-Way Risk II 610
21.3 Speeding Up xVA Calculations 619
21.4 Second-Generation xVAs (MVA and KVA) 632
21.5 Modelling Future Sensitivities 635

Glossary 645
General Terminology 649
References 651
Index 667

Subject Areas: Finance & accounting [KF]
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