Apple Inc. Zero Coupon Bond Yields And Credit Spreads, March 6, 2015

Mar. 09, 2015 2:09 PM ETAAPL, TLT, TBT, IEF, SHY
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Bonds, Portfolio Strategy, Banks, risk management

Contributor Since 2009

Donald R. van Deventer founded the Kamakura Corporation in April, 1990 and is currently Chairman and Chief Executive Officer. Dr. van Deventer's emphasis at Kamakura Corporation is enterprise wide risk management and modern credit risk technology. The third edition of his book, Advanced Financial Risk Management (with Kenji Imai and Mark Mesler) is forthcoming in 2022.  Dr. van Deventer was senior vice president in the investment banking department of Lehman Brothers (then Shearson Lehman Hutton) from 1987 to 1990. During that time, he was responsible for 27 major client relationships including Sony, Canon, Fujitsu, NTT, Tokyo Electric Power Co., and most of Japan's leading banks. From 1982 to 1987, Dr. van Deventer was the treasurer for First Interstate Bancorp in Los Angeles. In this capacity he was responsible for all bond financing requirements, the company’s commercial paper program, and a multi-billion dollar derivatives hedging program for the company. Dr. van Deventer was a Vice President in the risk management department of Security Pacific National Bank from 1977 to 1982. Dr. van Deventer holds a Ph.D. in Business Economics, a joint degree of the Harvard University Department of Economics and the Harvard Graduate School of Business Administration. He was appointed to the Harvard University Graduate School Alumni Association Council in 1999 and served through 2021. Dr. van Deventer was Chairman of the Council for four years from 2012 to 2016. From 2005 through 2009, he served as one of two appointed directors of the Harvard Alumni Association representing the Graduate School of Arts and Sciences. Dr. van Deventer also holds a degree in mathematics and economics from Occidental College, where he graduated second in his class, summa cum laude, and Phi Beta Kappa. Dr. van Deventer speaks Japanese and English.

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This graph shows the zero coupon yield curve for both the issuer and the U.S. Treasury. Both curves are produced by Kamakura Risk Information Services using Kamakura Risk Manager, version 8.1. The U.S. Treasury curve is created by the maximum smoothness forward rate method of Adams and van Deventer [1994], which was recently confirmed as consistent with "no arbitrage" standards of Heath, Jarrow and Morton in an important paper by Kamakura Managing Director Prof. Robert A. Jarrow. The issuer's zero coupon yield curve was created by applying the maximum smoothness forward rate approach to zero coupon credit spreads, relative to the base U.S. Treasury curve. The underlying senior non-call fixed rate bond data for the issuer was supplied by the TRACE system and processed by Kamakura Risk Manager to minimize the trade-weighted sum of squared pricing errors.

Zero coupon credit spreads are a critical input to the risk management process, with applications in counterparty credit risk, transfer pricing, stress testing, capital adequacy assessment, market risk and asset and liability management. For more information on KRIS zero coupon yield curve data, please contact info@kamakuraco.com. For more information on the maximum smoothness forward rate approach, see Chapters 5 and 17 of van Deventer, Imai and Mesler Advanced Financial Risk Management, 2nd edition, John Wiley & Sons, 2013. To subscribe to the Kamakura Risk Information Services credit spread data base, please contact info@kamakuraco.com.

Disclosure: The author has no positions in any stocks mentioned, and no plans to initiate any positions within the next 72 hours.

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