C o u n te r p a r t y The collapse of Lehman Brothers in September The book takes a practical approach to C Counterparty 2008 demonstrated what many in financial the essential elements with in-depth re d markets had long feared: the failure of a large examination and analysis of methods it financial institution, or even the imminent risk to measure, price and manage OTC R of such failure, could cause counterparties to derivative counterparty risk. Four isk incur severe losses as they scramble to cover sections focus on: positions with the distressed institution. Credit Risk • Measurement and management The cascade of losses in the aftermath of the • Pricing and hedging demise of Lehman undermined markets across • Stress testing the globe. Now, in the aftermath of the worst • Backtesting and risk capital financial crisis in a generation, counterparty credit risk has been widely identified as a blind Chapters from leading authorities Measurement, spot in risk management and risen to the top of such as Michael Pykhtin, Evan Picoult the regulatory agenda. and the editor, Eduardo Canabarro, Pricing and explain key issues and provide a Governments and supervisors around the practical toolkit for important areas Hedging world are focusing on the interconnectedness including: of banks and systemic risk. Banks themselves recognise that an active approach to this risk is • Calculating counterparty exposure needed. • Collateral management • Valuing collaterised derivatives EditEd by Eduardo Canabarro Counterparty Credit Risk brings together leading • Stress testing industry figures, regulators, academics, and • Backtesting and calculating legal exports to provide the complete guide to economic capital managing over-the-counter (OTC) derivative counterparty credit risk. Counterparty Credit Risk is the essential E d guide for practitioners, regulators, ite consultants, accountants, lawmakers, d auditors and researchers. b y E d u a r d o C a n a b a r r o PEFC Certified This book has been produced entirely from sustainable papers that are accredited as PEFC compliant. www.pefc.org CountrPCRiskSbk.indd 1 22/3/10 10:29:11 Counterparty Credit Risk Whole_CCR_last_amends.indd 1 19/03/2010 17:10 Whole_CCR_last_amends.indd 2 19/03/2010 17:10 Counterparty Credit Risk Measurement, Pricing and Hedging Edited by Eduardo Canabarro Whole_CCR_last_amends.indd 3 19/03/2010 17:10 Published by Risk Books, a Division of Incisive Financial Publishing Ltd Haymarket House 28–29 Haymarket London SW1Y 4RX Tel: + 44 (0)207 484 9700 Fax: + 44 (0)207 484 9797 E-mail: [email protected] Sites: www.riskbooks.com www.incisivemedia.com © 2009 Incisive Media. ISBN 978-1-906348-34-2 British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Publisher: Nick Carver Comissioning Editor: Sarah Hastings Managing Editor: Jennifer Gibb Designer: Lisa Ling Typeset by Tricolour Design, Sudbury, Suffolk Printed and bound in the UK by PrintonDemand-Worldwide Conditions of sale All rights reserved. No part of this publication may be reproduced in any material form whether by photocopying or storing in any medium by electronic means whether or not transiently or incidentally to some other use for this publication without the prior written consent of the copy- right owner except in accordance with the provisions of the Copyright, Designs and Patents Act 1988 or under the terms of a licence issued by the Copyright Licensing Agency Limited of 90,Tottenham Court Road, London W1P 0LP. Warning: the doing of any unauthorised act in relation to this work may result in both civil and criminal liability. Every effort has been made to ensure the accuracy of the text at the time of publication, this includes efforts to contact each author to ensure the accuracy of their details at publication is correct. However, no responsibility for loss occasioned to any person acting or refraining from acting as a result of the material contained in this publication will be accepted by the copyright owner, the editor, the authors or Incisive Media. Many of the product names contained in this publication are registered trade marks, and Risk Books has made every effort to print them with the capitalisation and punctuation used by the trademark owner. For reasons of textual clarity, it is not our house style to use symbols such as TM, ®, etc. However, the absence of such symbols should not be taken to indicate absence of trademark protection; anyone wishing to use product names in the public domain should first clear such use with the product owner. While best efforts have been intended for the preparation of this book, neither the publisher, the author nor any of the potentially implicitly affiliated organisations accept responsibility for any errors, mistakes and or omissions it may provide or for any losses howsoever arising from or in reliance upon its information, meanings and interpretations by any parties. Whole_CCR_last_amends.indd 4 19/03/2010 17:10 Contents About the Editor vii About the Authors ix Introduction xvii PART I: COUNTERPARTY RISK MEASUREMENT AND MANAGEMENT 1 1 Systemic Counterparty Credit Risk 3 Aaron Brown AQR Capital Management 2 Collateralised Credit Exposure 17 Michael Pykhtin Federal Reserve Board 3 Efficient Calculation of Counterparty Exposure Conditional on Default 51 David M. Rowe, Philip Koop and Daniel Travers SunGard 4 Effective, Enterprise-wide Collateral Management 63 Darren Measures JP Morgan 5 Evolution of the US Legal Framework for Counterparty Risk Mitigation 81 Lauren Teigland-Hunt Teigland-Hunt LLP PART II: COUNTERPARTY RISK PRICING AND HEDGING 107 6 Pricing and Hedging Counterparty Risk: Lessons Re-learned? 109 Eduardo Canabarro Morgan Stanley 7 The Counterparty Risk of Credit Derivative Products 137 Jon Gregory Ockham Financial Training and Consulting 8 Contingent Credit Default Swaps 165 Andrew P. Hollings, Shankar Mukherjee and Svein Stokke Novarum Partners Ltd v Whole_CCR_last_amends.indd 5 19/03/2010 17:10 CounterParty Credit risk 9 Funding Benefit and Funding Cost 185 Yi Tang and Andrew Williams Morgan Stanley 10 Generalised Valuation of Collateralised Derivatives 199 Patrick L. Chen, Katsuichiro Uchiyama and Guanghua Cao Morgan Stanley PART III: STRESS TESTING 219 11 Stress Testing and Scenario Analysis: Some Second Generation 221 Approaches Greg Hopper Goldman Sachs 12 Computing and Stress Testing Counterparty Credit Risk Capital 245 Dan Rosen; David Saunders The Fields Institute for Research in Mathematical Sciences and R2 Financial Technologies; University of Waterloo PART IV: ECONOMIC AND REGULATORY CAPITAL 293 13 Back(testing) to the Future: From Market Risk to Counterparty Credit Risk Models 295 Eduardo Epperlein; Sean Paul Hrabak; Wei Zhu, Alan Smillie Citi; Financial Services Authority; Citi 14 Economic Capital for Counterparty Credit Risk from Two Perspectives 327 Evan Picoult Citi and Columbia Business School Index 351 vi Whole_CCR_last_amends.indd 6 19/03/2010 17:10 about the editor Eduardo Canabarro is the managing director responsible for quan- titative risk management at Morgan Stanley. He is responsible for the development of the methods and models used to measure market and credit risks as well as for the independent review and validation of pricing and risk models used by the bank. Prior to Morgan Stanley, he held a similar position at Lehman Brothers as managing director and global head of quantitative risk manage- ment. Eduardo has also worked for Goldman Sachs and Salomon Brothers in quantitative modelling and risk management. Eduardo has published various articles in the Journal of Financial Engineering, Journal of Fixed Income, The Journal of Risk Financing, The Journal of Risk and Re-Insurance, and Risk. His articles “Counterpar- ty Risk: Measurement and Pricing” and “Analyzing Counterparty Risk” were cornerstones for the Basel II framework for regulatory capital on counterparty credit risk. He has spoken at leading risk management events around the world including the ones spon- sored by the Wharton School, BIS, ICBI, Risk, PRMIA and IAFE. Eduardo holds degrees in electrical engineering and an MBA (fi- nance) from UFRGS Brazil as well as MS and PhD degrees in fi- nance from University of California at Berkeley, US. vii Whole_CCR_last_amends.indd 7 19/03/2010 17:10 Whole_CCR_last_amends.indd 8 19/03/2010 17:10 about the authors Aaron Brown is a risk manager at AQR Capital Management and the author of The Poker Face of Wall Street (2006, picked as one of the ten best books of 2006 by Business Week) and A World of Chance (2008, with Reuven and Gabrielle Brenner). In his 27-year Wall Street career, Aaron has been a portfolio manager, trader, head of mortgage securities and risk manager for firms that include Mor- gan Stanley and Citigroup; he also did a stint as a finance professor. Aaron holds degrees in applied mathematics from Harvard and fi- nance from the University of Chicago. Guanghua Cao is a desk strategist for the Credit Valuation Adjust- ment (CVA) Strategies Group in the Fixed Income Department at Morgan Stanley, New York. His responsibilities include the devel- opment of quantitative models for CVA valuation, hedging and management. Prior to joining the CVA Strategies Group, Guanghua was a quantitative analyst for the Credit Methodology Group at Morgan Stanley, focusing on the validation of risk models and risk monitoring. He holds a Masters in financial engineering from the Haas School of Business, UC Berkeley, a PhD in applied mathemat- ics from the Southern Methodist University and a BA in applied mathematics from the Shanghai JiaoTong University. Patrick Chen is currently the global head of the Model Review Group at Morgan Stanley, where he is responsible for the inde- pendent review and validation of pricing models and also for the risk models used by the bank, as well as model risk measurement methodology, development and reporting. Prior to joining Morgan Stanley, Patrick has been the head of Counterparty Credit Risk & CVA Analytics and head of Operational Risk Analytics at Lehman Brothers. He has worked for Merrill Lynch, Barclays Capital and Bank of America in various trading desk and quantitative risk man- ix Whole_CCR_last_amends.indd 9 19/03/2010 17:10