Credit Derivatives For other titles in the Wiley Finance series please see www.wiley.com/finance Credit Derivatives Trading, Investing and Risk Management Second Edition Geoff Chaplin MA, DPhil, FFA A John Wiley and Sons, Ltd., Publication This edition first published 2010 (cid:1)C 2010 John Wiley & Sons, Ltd Registered office John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom For details of our global editorial offices, for customer services and for information about how to apply for permission to reuse the copyright material in this book please see our website at www.wiley.com. The right of the author to be identified as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by the UK Copyright, Designs and Patents Act 1988, without the prior permission of the publisher. Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books. Designations used by companies to distinguish their products are often claimed as trademarks. All brand names and product names used in this book are trade names, service marks, trademarks or registered trademarks of their respective owners. The publisher is not associated with any product or vendor mentioned in this book. This publication is designed to provide accurate and authoritative information in regard to the subject matter covered. It is sold on the understanding that the publisher is not engaged in rendering professional services. If professional advice or other expert assistance is required, the services of a competent professional should be sought. A catalogue record for this book is available from the British Library. ISBN 978-0-470-68644-7 Typeset in 10/12pt Times by Aptara Inc., New Delhi, India Printed in Great Britain by Antony Rowe Ltd, Chippenham, Wiltshire To my parents, my partner and my children Contents Preface to the First Edition xvii Preface to the Second Edition xix Acknowledgements xxi Disclaimer xxiii Table of Spreadsheet Examples and Software xxvii About the Author xxix PART I CREDIT BACKGROUND AND CREDIT DERIVATIVES 1 1 Credit Debt and Other Traditional Credit Instruments 3 1.1 Bonds and Loans; Libor Rates and Swaps; ‘REPO’ and General Collateral Rates 3 1.1.1 Bonds and Loans 3 1.1.2 BBA Libor and Swaps 4 1.1.3 Collateralised Lending and Repo 4 1.1.4 Repo as a Credit Derivative 6 1.2 Credit Debt Versus ‘Risk-Free’ Debt 6 1.3 Issue Documents, Seniority and the Recovery Process 6 1.3.1 Issue Documents and Default 6 1.3.2 Claim Amount 7 1.3.3 The Recovery Process and Recovery Amount 8 1.3.4 Sovereign versus Corporate Debt 9 1.4 Valuation, Yield and Spread 10 1.5 Buying Risk 10 1.6 Marking to Market, Marking to Model and Reserves 11 1.7 The ‘Credit Crunch’ and Correlation 12 1.8 Parties Involved in the Credit Markets and Key Terminology 13 viii Contents 2 Default and Recovery Data; Transition Matrices; Historical Pricing 15 2.1 Recovery: Ultimate and Market-Value-Based Recovery 15 2.1.1 Ultimate Recovery 15 2.1.2 Market Recovery 16 2.1.3 Recovery Rates and Industry Sector 18 2.1.4 Recovery and Default Rates and the Economic Cycle 18 2.1.5 Modelling Recovery Rates 18 2.2 Default Rates: Rating and Other Factors 21 2.3 Transition Matrices 21 2.4 ‘Measures’ and Transition Matrix-Based Pricing 22 2.5 Spread Jumps and Spread Volatility Derived from Transition Matrices 26 2.6 Adjusting Transition Matrices 27 3 Asset Swaps and Asset Swap Spread; z-Spread 29 3.1 ‘Par–Par’ Asset Swap Contracts 29 3.1.1 Contract Description and Hedging 29 3.1.2 Hedging 29 3.1.3 Default of the Reference Name 30 3.2 Asset Swap Spread 30 3.3 Maturity and z-Spread 30 3.4 Callable Asset Swaps; ‘Perfect’ Asset Swaps 32 3.4.1 Callable Asset Swaps 33 3.4.2 ‘Perfect’ Asset Swaps 33 3.5 A Bond Spread Model 33 4 Liquidity, the Credit Pyramid and Market Data 35 4.1 Bond Liquidity 35 4.2 The Credit Pyramid 35 4.3 Engineered and Survey Data 37 4.3.1 Survey Data 37 4.3.2 Engineered Data 38 4.4 Spread and Rating 39 5 Traditional Counterparty Risk Management 41 5.1 Vetting 41 5.2 Collateralisation and Netting 41 5.3 Additional Counterparty Requirements for Credit Derivative Counterparties 42 5.4 Internal Capital Charge 42 6 Credit Portfolios and Portfolio Risk 43 6.1 VaR and counterpartyVaR 43 6.2 Distribution of Forward Values of a Credit Bond 43 6.3 Correlation and the Multi-Factor Normal (Gaussian) Distribution 45 6.4 Correlation and the Correlation Matrix 46