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Pricing the term structure of inflation risk premia: Theory and evidence from TIPS

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  • Chen, Ren-Raw
  • Liu, Bo
  • Cheng, Xiaolin

Abstract

In this paper, we study inflation risk and the term structure of inflation risk premia in the United States' nominal interest rates through the Treasury Inflation Protection Securities (TIPS) with a multi-factor, modified quadratic term structure model with correlated real and inflation rates. We derive closed form solutions to the real and nominal term structures of interest rates that drastically facilitate the estimation of model parameters and improve the accuracy of the valuation of nominal rates and TIPS prices. In addition, we contribute to the literature by estimating the term structure of inflation risk premia implied from the TIPS market. The empirical evidence using data from the period of January 1998 through October 2007 indicates that the expected inflation rate, contrary to data derived from the consumer price indices, is very stable and the inflation risk premia exhibit a positive term structure.

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  • Chen, Ren-Raw & Liu, Bo & Cheng, Xiaolin, 2010. "Pricing the term structure of inflation risk premia: Theory and evidence from TIPS," Journal of Empirical Finance, Elsevier, vol. 17(4), pages 702-721, September.
    • Handle: RePEc:eee:empfin:v:17:y:2010:i:4:p:702-721
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    8. Juan Andrés Espinosa-Torres & Luis Fernando Melo-Velandia & José Fernando Moreno-Gutiérrez, 2017. "Expectativas de inflación, prima de riesgo inflacionario y prima de liquidez: una descomposición del break-even inflation para los bonos del Gobierno colombiano," Revista Desarrollo y Sociedad, Universidad de los Andes,Facultad de Economía, CEDE, vol. 78, February.
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    11. Carolin E. Pflueger & Luis M. Viceira, 2011. "Return Predictability in the Treasury Market: Real Rates, Inflation, and Liquidity," Harvard Business School Working Papers 11-094, Harvard Business School, revised Sep 2013.
    12. Martin Kliem & Alexander Meyer‐Gohde, 2022. "(Un)expected monetary policy shocks and term premia," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(3), pages 477-499, April.
    13. Covarrubias, Enrique & Hernández-del-Valle, Gerardo, 2016. "Inflation expectations derived from a portfolio model," MPRA Paper 69489, University Library of Munich, Germany.
    14. 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.).
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    17. Argyropoulos, Efthymios & Tzavalis, Elias, 2015. "Real term structure forecasts of consumption growth," Journal of Empirical Finance, Elsevier, vol. 33(C), pages 208-222.
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    20. Alex Hsu & Erica X. N. Li & Francisco Palomino, 2021. "Real and Nominal Equilibrium Yield Curves," Management Science, INFORMS, vol. 67(2), pages 1138-1158, February.
    21. 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.).
    22. Pedro Pires Ribeiro & José Dias Curto, 2018. "How do zero-coupon inflation swaps predict inflation rates in the euro area? Evidence of efficiency and accuracy on 1-year contracts," Empirical Economics, Springer, vol. 54(4), pages 1451-1475, June.
    23. Alex Hsu & Erica X. N. Li & Francisco J. Palomino, 2016. "Real and Nominal Equilibrium Yield Curves: Wage Rigidities and Permanent Shocks," Finance and Economics Discussion Series 2016-032, Board of Governors of the Federal Reserve System (U.S.).
    24. Matthias Fleckenstein & Francis A. Longstaff & Hanno Lustig, 2013. "Deflation Risk," NBER Working Papers 19238, National Bureau of Economic Research, Inc.

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