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For other titles in the Wiley Finance series

XVA: Credit, Funding and Capital Valuation Adjustments

ANDREW GREEN


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This edition first published 2016

© 2016 John Wiley & Sons Ltd

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Library of Congress Cataloging-in-Publication Data

Green, Andrew,

XVA: credit, funding and capital valuation adjustments / Andrew Green.

pages cm. – (The wiley finance series)

Includes bibliographical references and index.

ISBN 978-1-118-55678-8 (hardback) – ISBN 978-1-118-55675-7 (ebk) – ISBN 978-1-118-55676-4 (ebk) – ISBN 978-1-119-16123-3 (ebk) 1. Finance. 2. Derivative securities. I. Title.

HG173.G744 2015

332.64′57–dc23

2015019353

A catalogue record for this book is available from the British Library.

ISBN 978-1-118-55678-8 (hardback) ISBN 978-1-118-55675-7 (ebk)

ISBN 978-1-118-55676-4 (ebk) ISBN 978-1-119-16123-3 (obk)

Cover Design: Wiley

Cover Image: ©iStock/Tuomas Kujansuu

For Simone

Acknowledgements

I would like to thank both Dr Chris Dennis and Dr Chris Kenyon for kindly agreeing to review this book prior to publication and for their work on a number of research topics that are contained within this book. Any errors or omissions are my own, however.

I would also like to thank the many colleagues and peers from both market and academia with whom I have had useful discussions on quantitative finance over many years. This includes colleagues from my current and past employers but also includes a great many others.

I owe a debt of gratitude to my many teachers over a number of years, but perhaps most of all to my DPhil supervisor, Professor James Binney, whose own publications inspired me ultimately to write my own book.

Finally I would like to thank friends and family for putting up with my absence during the writing process.

CHAPTER 1

Introduction: The Valuation of Derivative Portfolios

Price is what you pay. Value is what you get.

– Warren Buffett
American business magnate, investor and philanthropist (1930–)

1.1 What this book is about

This book is about XVA or Valuation Adjustments, the valuation of the credit, funding and regulatory capital requirements embedded in derivative contracts. It introduces Credit Valuation Adjustment (CVA) and Debit Valuation Adjustment (DVA) to account for credit risk, Funding Valuation Adjustment (FVA) for the impact of funding costs including Margin Valuation Adjustment (MVA) for the funding cost associated with initial margin, Capital Valuation Adjustment (KVA) for the impact of Regulatory Capital and Tax Valuation Adjustment (TVA) for the impact of taxation on profits and losses. The book provides detailed descriptions of models to calculate the valuation adjustments and the technical infrastructure required to calculate them efficiently. However, more fundamentally this book is about the valuation and pricing of derivative contracts. The reality is that credit, funding and capital concerns are very far from minor adjustments to the value of a single derivative contract or portfolio of derivatives. The treatment of CVA, DVA, FVA, MVA, KVA and TVA as adjustments reflects the historical development of derivative models and typical bank organisational design rather than the economic reality that places credit, funding and capital costs at the centre of accurate pricing and valuation of derivatives.



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