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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.

Suggested Citation

  • 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. Schupp, Fabian, 2020. "The (ir)relevance of the nominal lower bound for real yield curve analysis," Working Paper Series 2476, European Central Bank.
    4. Güler, Mustafa Haluk & Keleş, Gürsu & Polat, Tandoğan, 2017. "An empirical decomposition of the liquidity premium in breakeven inflation rates," The Quarterly Review of Economics and Finance, Elsevier, vol. 63(C), pages 185-192.
    5. Thórarinn G. Pétursson, 2022. "Long‐term inflation expectations and inflation dynamics," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(1), pages 158-174, January.
    6. Zinna, Gabriele, 2013. "Sovereign default risk premia: Evidence from the default swap market," Journal of Empirical Finance, Elsevier, vol. 21(C), pages 15-35.
    7. Berardi, Andrea & Plazzi, Alberto, 2022. "Dissecting the yield curve: The international evidence," Journal of Banking & Finance, Elsevier, vol. 134(C).
    8. 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.
    9. 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.
    10. 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.).
    11. Colin Campbell & Anthony M. Diercks & Steven A. Sharpe & Daniel Soques, 2023. "The Swaps Strike Back: Evaluating Expectations of One-Year Inflation," Finance and Economics Discussion Series 2023-061, Board of Governors of the Federal Reserve System (U.S.).
    12. 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.
    13. 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.
    14. repec:hum:wpaper:sfb649dp2017-015 is not listed on IDEAS
    15. 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.).
    16. 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.
    17. Cláudia Simões & Luís Oliveira & Jorge M. Bravo, 2021. "Immunization Strategies for Funding Multiple Inflation-Linked Retirement Income Benefits," Risks, MDPI, vol. 9(4), pages 1-28, March.
    18. 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.
    19. Covarrubias, Enrique & Hernández-del-Valle, Gerardo, 2016. "Inflation expectations derived from a portfolio model," MPRA Paper 69489, University Library of Munich, Germany.
    20. Argyropoulos, Efthymios & Tzavalis, Elias, 2015. "Real term structure forecasts of consumption growth," Journal of Empirical Finance, Elsevier, vol. 33(C), pages 208-222.
    21. Swinkels, Laurens, 2018. "Simulating historical inflation-linked bond returns," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 374-389.
    22. 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.
    23. 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.).
    24. 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.
    25. Matthias Fleckenstein & Francis A. Longstaff & Hanno Lustig, 2013. "Deflation Risk," NBER Working Papers 19238, National Bureau of Economic Research, Inc.

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