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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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    as
    1. Narasimhan Jegadeesh & George Pennacchi, 1996. "The behavior of interest rates implied by the term structure of Eurodollar future," Proceedings, Federal Reserve Bank of Cleveland, issue Aug, pages 426-451.
    2. Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
    3. Chan, K C, et al, 1992. "An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-1227, July.
    4. Richard, Scott F., 1978. "An arbitrage model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 33-57, March.
    5. repec:bla:jfinan:v:53:y:1998:i:1:p:187-218 is not listed on IDEAS
    6. repec:bla:jfinan:v:59:y:2004:i:4:p:1743-1776 is not listed on IDEAS
    7. D’Amico, Stefania & Kim, Don H. & Wei, Min, 2018. "Tips from TIPS: The Informational Content of Treasury Inflation-Protected Security Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 53(1), pages 395-436, February.
    8. Pennacchi, George G, 1991. "Identifying the Dynamics of Real Interest Rates and Inflation: Evidence Using Survey Data," The Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 53-86.
    9. Leippold, Markus & Wu, Liuren, 2002. "Asset Pricing under the Quadratic Class," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(2), pages 271-295, June.
    10. Pearson, Neil D & Sun, Tong-Sheng, 1994. "Exploiting the Conditional Density in Estimating the Term Structure: An Application to the Cox, Ingersoll, and Ross Model," Journal of Finance, American Finance Association, vol. 49(4), pages 1279-1304, September.
    11. Bakshi, Gurdip S & Chen, Zhiwu, 1996. "Inflation, Asset Prices, and the Term Structure of Interest Rates in Monetary Economies," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 241-275.
    12. Babbs, Simon H. & Nowman, K. Ben, 1999. "Kalman Filtering of Generalized Vasicek Term Structure Models," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(1), pages 115-130, March.
    13. David Barr & John Campbell, "undated". "Inflation, real interest rates and the bond market: a study of UK nominal and index-linked Government bond prices," CERF Discussion Paper Series 95-09, Economics and Finance Section, School of Social Sciences, Brunel University.
    14. Chen, Ren-Raw & Scott, Louis O, 1992. "Pricing Interest Rate Options in a Two-Factor Cox-Ingersoll-Ross Model of the Term Structure," The Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 613-636.
    15. Langetieg, Terence C, 1980. "A Multivariate Model of the Term Structure," Journal of Finance, American Finance Association, vol. 35(1), pages 71-97, March.
    16. Gibbons, Michael R & Ramaswamy, Krishna, 1993. "A Test of the Cox, Ingersoll, and Ross Model of the Term Structure," The Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 619-658.
    17. Andrew Ang & Geert Bekaert & Min Wei, 2008. "The Term Structure of Real Rates and Expected Inflation," Journal of Finance, American Finance Association, vol. 63(2), pages 797-849, April.
    18. Brown, Roger H. & Schaefer, Stephen M., 1994. "The term structure of real interest rates and the Cox, Ingersoll, and Ross model," Journal of Financial Economics, Elsevier, vol. 35(1), pages 3-42, February.
    19. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    20. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    21. Robert Jarrow & Yildiray Yildirim, 2008. "Pricing Treasury Inflation Protected Securities and Related Derivatives using an HJM Model," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 16, pages 349-370, World Scientific Publishing Co. Pte. Ltd..
    22. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    23. Buraschi, Andrea & Jiltsov, Alexei, 2005. "Inflation risk premia and the expectations hypothesis," Journal of Financial Economics, Elsevier, vol. 75(2), pages 429-490, February.
    24. Turnbull, Stuart M & Milne, Frank, 1991. "A Simple Approach to Interest-Rate Option Pricing," The Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 87-120.
    25. Martin D. D. Evans, 2003. "Real risk, inflation risk, and the term structure," Economic Journal, Royal Economic Society, vol. 113(487), pages 345-389, April.
    26. Pu Shen, 1998. "How important is the inflation risk premium?," Economic Review, Federal Reserve Bank of Kansas City, vol. 83(Q IV), pages 35-47.
    27. Constantinides, George M, 1992. "A Theory of the Nominal Term Structure of Interest Rates," The Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 531-552.
    28. Brown, Stephen J & Dybvig, Philip H, 1986. "The Empirical Implications of the Cox, Ingersoll, Ross Theory of the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 41(3), pages 617-630, July.
    29. John Y. Campbell & Robert J. Shiller, 1996. "A Scorecard for Indexed Government Debt," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 155-208, National Bureau of Economic Research, Inc.
    30. Robert J. Shiller, 2003. "The Invention of Inflation-Indexed Bonds in Early America," NBER Working Papers 10183, National Bureau of Economic Research, Inc.
    31. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    32. Longstaff, Francis A & Schwartz, Eduardo S, 1992. "Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model," Journal of Finance, American Finance Association, vol. 47(4), pages 1259-1282, September.
    33. Sun, Tong-sheng, 1992. "Real and Nominal Interest Rates: A Discrete-Time Model and Its Continuous-Time Limit," The Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 581-611.
    34. Chen, Ren-Raw & Scott, Louis, 2003. "Multi-factor Cox-Ingersoll-Ross Models of the Term Structure: Estimates and Tests from a Kalman Filter Model," The Journal of Real Estate Finance and Economics, Springer, vol. 27(2), pages 143-172, September.
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    3. 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.
    4. 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.
    5. Evangelos Salachas & Georgios P. Kouretas & Nikiforos T. Laopodis, 2024. "The term structure of interest rates and economic activity: Evidence from the COVID‐19 pandemic," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 43(4), pages 1018-1041, July.
    6. Schupp, Fabian, 2020. "The (ir)relevance of the nominal lower bound for real yield curve analysis," Working Paper Series 2476, European Central Bank.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Zinna, Gabriele, 2013. "Sovereign default risk premia: Evidence from the default swap market," Journal of Empirical Finance, Elsevier, vol. 21(C), pages 15-35.
    12. Berardi, Andrea & Plazzi, Alberto, 2022. "Dissecting the yield curve: The international evidence," Journal of Banking & Finance, Elsevier, vol. 134(C).
    13. 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.
    14. Covarrubias, Enrique & Hernández-del-Valle, Gerardo, 2016. "Inflation expectations derived from a portfolio model," MPRA Paper 69489, University Library of Munich, Germany.
    15. 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.).
    16. 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.).
    17. Argyropoulos, Efthymios & Tzavalis, Elias, 2015. "Real term structure forecasts of consumption growth," Journal of Empirical Finance, Elsevier, vol. 33(C), pages 208-222.
    18. Swinkels, Laurens, 2018. "Simulating historical inflation-linked bond returns," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 374-389.
    19. 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.
    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. repec:hum:wpaper:sfb649dp2017-015 is not listed on IDEAS
    23. 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.
    24. 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.).
    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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