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Pricing Treasury Inflation Protected Securities and Related Derivatives using an HJM Model

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Author Info
Jarrow, Robert
Yildirim, Yildiray

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Abstract

This paper uses an HJM model to price TIPS and related derivative securities. First, using the market prices of TIPS and ordinary U.S. Treasury securities, both the real and nominal zero-coupon bond price curves are obtained using standard coupon bond price stripping procedures. Next, a three-factor arbitrage-free term structure model is fit to the time-series evolutions of the CPI-U and the real and nominal zero-coupon bond price curves. Then, using these estimated term structure parameters, the validity of the HJM model for pricing TIPS is confirmed via its hedging performance. Lastly, the usefulness of the pricing model is illustrated by valuing call options on the inflation index.

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File URL: http://journals.cambridge.org/abstract_S0022109000001642
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Publisher Info
Article provided by Cambridge University Press in its journal Journal of Financial and Quantitative Analysis.

Volume (Year): 38 (2003)
Issue (Month): 02 (June)
Pages: 337-358
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:cup:jfinqa:v:38:y:2003:i:02:p:337-358_00

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  1. Marc Henrard, 2005. "Inflation bond option pricing in Jarrow-Yildirim model," Finance 0510027, EconWPA. [Downloadable!]
  2. Joseph G. Haubrich & George Pennacchi & Peter Ritchken, 2008. "Estimating real and nominal term structures using treasury yields, inflation, inflation forecasts, and inflation swap rates," Working Paper 0810, Federal Reserve Bank of Cleveland. [Downloadable!]
  3. Ralph S.J Koijen & Otto Van Hemert & Stijn Van Nieuwerburgh, 2007. "Mortgage Timing," NBER Working Papers 13361, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. Scott E. Hein & Jeffrey M. Mercer, 2003. "Are TIPS really tax disadvantaged? Rethinking the tax treatment of U.S. Treasury Inflation Indexed Securities," Working Paper 2003-9, Federal Reserve Bank of Atlanta. [Downloadable!]
  5. Nabyl Belgrade & Eric Benhamou & Etienne Koehler, 2004. "A market model for inflation," Cahiers de la Maison des Sciences Economiques b04050, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  6. Carl Chiarella & Chih-Ying Hsiao & Willi Semmler, 2007. "Intertemporal Investment Strategies under Inflation Risk," Research Paper Series 192, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
  7. Carl Chiarella & Chih-Ying Hsiao, 2005. "The Impact of Short-Sale Constraints on Asset Allocation Strategies via the Backward Markov Chain Approximation Method," Research Paper Series 171, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
    Other versions:
  8. Susanne Kruse & Matthias Meitner & Michael Schröder, 2005. "On the pricing of GDP-linked financial products," Applied Financial Economics, Taylor and Francis Journals, vol. 15(16), pages 1125-1133, November. [Downloadable!] (restricted)
  9. Stefania D'Amico & Don H. Kim & Min Wei, 2008. "Tips from TIPS: the informational content of Treasury Inflation-Protected Security prices," Finance and Economics Discussion Series 2008-30, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  10. Henrard, Marc, 2006. "TIPS Options in the Jarrow-Yildirim model," MPRA Paper 1423, University Library of Munich, Germany. [Downloadable!]
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