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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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    3. Martin Kliem & Alexander Meyer-Gohde, 2017. "(Un)expected Monetary Policy Shocks and Term Premia," SFB 649 Discussion Papers SFB649DP2017-015, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    4. Boons, Martijn & Duarte, Fernando & de Roon, Frans & Szymanowska, Marta, 2020. "Time-varying inflation risk and stock returns," Journal of Financial Economics, Elsevier, vol. 136(2), pages 444-470.
    5. Juan Andrés Espinosa-Torres & Luis Fernando Melo-Velandia & José Fernando Moreno-Gutiérrez, 2015. "Expectativas de inflación, prima de riesgo inflacionario y prima de liquidez: una descomposición del break-even inflation para los bonos del gobierno colombiano," Borradores de Economia 903, Banco de la Republica de Colombia.
    6. Huang, Xiaoyong & Jia, Fei & Xu, Xiangyun & Yu shi,, 2019. "The threshold effect of market sentiment and inflation expectations on gold price," Resources Policy, Elsevier, vol. 62(C), pages 77-83.
    7. Grishchenko, Olesya V. & Vanden, Joel M. & Zhang, Jianing, 2016. "The informational content of the embedded deflation option in TIPS," Journal of Banking & Finance, Elsevier, vol. 65(C), pages 1-26.
    8. Auckenthaler, Julia & Kupfer, Alexander & Sendlhofer, Rupert, 2015. "The impact of liquidity on inflation-linked bonds: A hypothetical indexed bonds approach," The North American Journal of Economics and Finance, Elsevier, vol. 32(C), pages 139-154.
    9. Thórarinn G. Pétursson, 2019. "Long-term inflation expectations and inflation dynamics," Economics wp81, Department of Economics, Central bank of Iceland.
    10. Covarrubias, Enrique & Hernández-del-Valle, Gerardo, 2016. "Inflation expectations derived from a portfolio model," MPRA Paper 69489, University Library of Munich, Germany.
    11. Argyropoulos, Efthymios & Tzavalis, Elias, 2015. "Real term structure forecasts of consumption growth," Journal of Empirical Finance, Elsevier, vol. 33(C), pages 208-222.
    12. Swinkels, Laurens, 2018. "Simulating historical inflation-linked bond returns," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 374-389.
    13. 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.
    14. 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.
    15. Matthias Fleckenstein & Francis A. Longstaff & Hanno Lustig, 2013. "Deflation Risk," NBER Working Papers 19238, National Bureau of Economic Research, Inc.

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