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Pricing TIPS and treasuries with linear regressions

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  • Michael Abrahams
  • Tobias Adrian
  • Richard K. Crump
  • Emanuel Moench

Abstract

We present an affine term structure model for the joint pricing of Treasury Inflation-Protected Securities (TIPS) and Treasury yield curves that adjusts for TIPS’ relative illiquidity. Our estimation using linear regressions is computationally very fast and can accommodate unspanned factors. The baseline specification with six principal components extracted from Treasury and TIPS yields, in combination with a liquidity factor, generates negligibly small pricing errors for both real and nominal yields. Model-implied expected inflation provides a better prediction of actual inflation than breakeven inflation. The value of the deflation floor calculated from the model is generally small in magnitude, but spiked during the recent crisis.

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Bibliographic Info

Paper provided by Federal Reserve Bank of New York in its series Staff Reports with number 570.

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Date of creation: 2012
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Handle: RePEc:fip:fednsr:570

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Related research

Keywords: Inflation (Finance) ; Liquidity (Economics) ; Linear models (Statistics) ; Treasury bonds ; Rate of return;

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  1. Olesya V. Grishchenko & Jing-zhi Huang, 2012. "Inflation risk premium: evidence from the TIPS market," Finance and Economics Discussion Series 2012-06, Board of Governors of the Federal Reserve System (U.S.).
  2. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2009. "Inflation expectations and risk premiums in an arbitrage-free model of nominal and real bond yields," Proceedings, Federal Reserve Bank of San Francisco, issue Jan.
  3. Joseph Haubrich & George Pennacchi & Peter Ritchken, 2012. "Inflation Expectations, Real Rates, and Risk Premia: Evidence from Inflation Swaps," Review of Financial Studies, Society for Financial Studies, vol. 25(5), pages 1588-1629.
  4. Philippe Mueller & Mikhail Chernov, 2008. "The Term Structure of Inflation Expectations," 2008 Meeting Papers 346, Society for Economic Dynamics.
  5. Olesya V. Grishchenko & Joel M. Vanden & Jianing Zhang, 2011. "The information content of the embedded deflation pption in TIPS," Finance and Economics Discussion Series 2011-58, Board of Governors of the Federal Reserve System (U.S.).
  6. Adrian, Tobias & Crump, Richard K. & Moench, Emanuel, 2013. "Pricing the term structure with linear regressions," Journal of Financial Economics, Elsevier, vol. 110(1), pages 110-138.
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