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Financial Derivatives Pricing: Selected Works of Robert Jarrow PDF

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FINANCIAL DERIVATIVES PRICING Selected Works of Robert Iarrow TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk Selected Works of Robert Jarrow FINANCIAL DERIVATIVES PRICING ROBERT A JARROW Cornell University, USA 1:0 World Scientific NEW JERSEY· LONDON· SINGAPORE· BEIJING· SHANGHAI· HONG KONG· TAIPEI· CHENNAI Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. FINANCIAL DERIVATIVES PRICING Selected Works of Robert Jarrow Copyright © 2008 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permissionjrom the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN-13 978-981-281-920-8 ISBN-IO 981-281-920-7 Printed in Singapore by World Scientific Printers Acknowledgments We would like to thank the publishers and publications who granted the reprint permissions for the following papers: 1. Reprinted from Journal of Financial Economics, 10(3), Jarrow, R and A. Rudd, Approximate Option Valuation for Arbitrary Stochastic Processes, 347-369, Copyright (1982), with permission from Elsevier. 2. Heath, D and R. Jarrow (1987). Arbitrage, Continuous Trading, and Margin Requirements. Journal of Finance, 5, 1129-1142. Reprinted with kind permission of Blackwell Publishing. 3. Heath, D and R. Jarrow (1988). Ex-Dividend Stock Price Behavior and Arbitrage Opportunities. Journal of Business, 61 (1),95-108. Reprinted with kind permission of the University of Chicago Press. 4. Carr, P and R. Jarrow (1990). The Stop-Loss Start-Gain Paradox and Option Valuation: A New Decomposition into Intrinsic and Time Value. Review of Financial Studies, 3 (3), 469-492. Reprinted with kind permission of Oxford University Press. 5. Carr, P, R. Jarrow and R. Myneni (1992). Alternative Characterizations of American Put Options. Mathematical Finance, 2 (2), 87-106. Reprinted with kind permission of Blackwell Publishing. 6. Jarrow, R (1992). Market Manipulation, Bubbles, Corners, and Short Squeezes. Journal of Financial and Quantitative Analysis, 27 (3), 311-336. Reprinted with kind permission of University of Washington, School of Business Administration. 7. Jarrow, R (1994). Derivative Security Markets, Market Manipulation, and Option Pricing Theory. Journal of Financial and Quantitative Analysis, 29 (2), 241-261. Reprinted with kind permission of University of Washington, School of Business Administration. 8. With kind permission from Springer Science+Business Media: Finance and Stochastics, Liquidity Risk and Arbitrage Pricing Theory, 8(3), 2004, 311-341, <;etin, U, R. Jarrow and P. Protter. © Springer-Verlag 2004. 9. <;etin, U, R. Jarrow, P. Protter and M. Warachka (2006). Pricing Options in an Extended Black-Scholes Economy with Illiquidity: Theory and Empirical Evidence. Review of Financial Studies, 19 (2), 493-529. Reprinted with kind permission of the Oxford University Press for Society for Financial Studies. v vi 10. This article was published in Journal of Banking and Finance, 5, larrow, R, Liquidity Premiums and the Expectations Hypothesis, 539-546, Copyright Elsevier (1981). 11. larrow, Rand G. Oldfield (1981). Forward Contracts and Futures Contracts. Journal of Financial Economics, 4, 373-382. Reprinted with kind permission of Oxford University Press. 12. This article was published in Advances in Futures and Options Research, 2, larrow, R, The Pricing of Commodity Options with Stochastic Interest Rates, 19-45, Copyright Elsevier (1981). 13. Heath, D, R. Jarrow, and A. Morton (1992). Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation. Econometrica, 60 (1), 77-105. Reprinted with kind permission of The Econometric Society. 14. Reprinted from Journal of International Money and Finance, 10 (3), Amin, K and R. Jarrow, Pricing Foreign Currency Options Under Stochastic Interest Rates, 310-329, Copyright (1991), with permission from Elsevier. 15. Amin, K and R. Jarrow (1992). Pricing Options on Risky Assets in a Stochastic Interest Rate Economy. Mathematical Finance, 2 (4), 217-237. Reprinted with kind permission of Blackwell Publishing. 16. Jarrow, Rand Y. Yildirim (2003). Pricing Treasury Inflation Protected Securities and Related Derivatives Using an HJM Model. Journal of Financial and Quantitative Analysis, 38 (2), 337-358. Reprinted with kind permission of University of Washington, School of Business Administration. 17. Jarrow, Rand S. Turnbull (1995). Pricing Derivatives on Financial Securities Subject to Credit Risk. Journal of Finance, 50 (1), (March), 53-85. Reprinted with kind permission of Blackwell Publishing. 18. R. Jarrow, D. Lando and S. Turnbull (1997). A Markov Model for the Term Structure of Credit Risk Spreads. Review of Financial Studies, 10 (2), 481-523. Reprinted with kind permission of Oxford University Press. 19. Jarrow, R, D. Lando and F. Yu (2005). Default Risk and Diversification: Theory and Empirical Implications. Mathematical Finance, 15 (1), 1-26. Reprinted with kind permission of Blackwell Publishing. 20. Jarrow, Rand F. Yu (2001). Counterparty Risk and the Pricing of Defaultable Securities. Journal of Finance, 56 (5), 1765-1799. Reprinted with kind permission of Blackwell Publishing. vii 21. With kind permission from Springer Science+Business Media: Review of Finance, Bankruptcy Prediction with Industry Effects, 8 (4), 2004, 537-569, Chava, Sand R. Jarrow. © 2004 Kluwer Academic Publishers. Printed in Netherlands. 22. With kind permission from Springer Science+Business Media: Journal of Financial Services Research, Market Pricing of Deposit Insurance, 24 (2/3), 2003, 93-119, Duffie, D, R. Jarrow, A. Purnanandam and W. Yang. © 2003 Kluwer Academic Publishers. Manufactured in The Netherlands. 23. C;etin, U, R. Jarrow, P. Protter and Y. Yildirim (2004). Modeling Credit Risk with Partial Information. The Annals of Applied Probability, 14 (3),1167-1178. Reprinted with kind permission of Institute of Mathematical Statistics. TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk Preface I consider myself fortunate that World Scientific Publishing Co. is putting out my selected works in a single volume. This volume will make it easier for researchers and students to find these essays and read them as an integrated collection. Through out my career, I have published many papers in the subfields of finance - corporate finance, financial institutions (banking), asset pricing, and derivatives - mostly the ory, but sometimes empirical papers as well. In my writings, three themes can be identified. The first theme is that I am constantly striving to better understand the robustness of financial models. That is, do the results in a particular model extend when the assumptions are modified, and if not, how do the results change? The second theme is that I am concerned with "real" world problems - unsolved ques tions relevant to current industry practice. After all, finance is an applied economic science. The third theme relates to my approach to research. To solve financial problems, I rely on the rigorous use of mathematics and economics. In fact, it is fair to say that my research is really mathematical economics, or a more recent offshoot, mathematical finance. For this collection of readings, I have selected a subset of my papers related to financial derivatives and risk management. This topic is of heightened current interest in academics and industry due to the recent subprime generated financial crisis of 2007. The subprime crisis involved significant losses in credit derivatives, including subprime mortgage asset-backed securities (ABS), credit default swaps (CDS) on subprime ABS, and collateralized default obligations (CDOs) on subprime ABS. Both the inadequate pricing and hedging of these interest-rate and credit-risk sensitive subprime-backed derivatives is alleged to have contributed to the financial crisis. I have eagerly pursued research in financial derivatives, alternatively called - option pricing and hedging - since my graduate student days at the Massachusetts Institute of Technology (M.I.T). Indeed, my Ph.D. studies took place in the early years of option pricing theory (1976 - 1979). These studies gave me my first rigorous exposure to risk management by the masters themselves, Robert Merton and Fischer Black. Many of my research ideas were germinated in those early years through long conversations with fellow Ph.D. students, taking courses, or attending seminars. ix

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This book is a collection of original papers by Robert Jarrow that contributed to significant advances in financial economics. Divided into three parts, Part I concerns option pricing theory and its foundations. The papers here deal with the famous Black Scholes Merton model, characterizations of th
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