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

  • Chen, Ren-Raw
  • Liu, Bo
  • Cheng, Xiaolin
Registered author(s):

    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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    File URL: http://www.sciencedirect.com/science/article/pii/S0927-5398(10)00003-4
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    Article provided by Elsevier in its journal Journal of Empirical Finance.

    Volume (Year): 17 (2010)
    Issue (Month): 4 (September)
    Pages: 702-721

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    Handle: RePEc:eee:empfin:v:17:y:2010:i:4:p:702-721
    Contact details of provider: Web page: http://www.elsevier.com/locate/jempfin

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    1. Bakshi, Gurdip S & Chen, Zhiwu, 1996. "Inflation, Asset Prices, and the Term Structure of Interest Rates in Monetary Economies," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 241-75.
    2. Robert J. Shiller, 2003. "The Invention of Inflation-Indexed Bonds in Early America," NBER Working Papers 10183, National Bureau of Economic Research, Inc.
    3. Markus Leippold & Liuren Wu, 2002. "Asset Pricing Under The Quadratic Class," Finance 0207015, EconWPA.
    4. Chen, Ren-Raw & Scott, Louis O, 1992. "Pricing Interest Rate Options in a Two-Factor Cox-Ingersoll-Ross Model of the Term Structure," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 613-36.
    5. D'Amico, Stefania & Kim, Don H. & Wei, Min, 2014. "Tips from TIPS: the informational content of Treasury Inflation-Protected Security prices," Finance and Economics Discussion Series 2014-24, Board of Governors of the Federal Reserve System (U.S.), revised 19 Feb 2016.
    6. 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.
    7. Ang, Andrew & Bekaert, Geert, 2004. "The Term Structure of Real Rates and Expected Inflation," CEPR Discussion Papers 4518, C.E.P.R. Discussion Papers.
    8. Jarrow, Robert & Yildirim, Yildiray, 2003. "Pricing Treasury Inflation Protected Securities and Related Derivatives using an HJM Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(02), pages 337-358, June.
    9. Sun, Tong-sheng, 1992. "Real and Nominal Interest Rates: A Discrete-Time Model and Its Continuous-Time Limit," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 581-611.
    10. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
    11. 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.
    12. 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.
    13. 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.
    14. 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 1209-27, July.
    15. Jegadeesh, Narasimhan & Pennacchi, George G, 1996. "The Behavior of Interest Rates Implied by the Term Structure of Eurodollar Futures," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(3), pages 426-46, August.
    16. Langetieg, Terence C, 1980. " A Multivariate Model of the Term Structure," Journal of Finance, American Finance Association, vol. 35(1), pages 71-97, March.
    17. Turnbull, Stuart M & Milne, Frank, 1991. "A Simple Approach to Interest-Rate Option Pricing," Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 87-120.
    18. Constantinides, George M, 1992. "A Theory of the Nominal Term Structure of Interest Rates," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 531-52.
    19. David G. Barr & John Y. Campbell, 1996. "Inflation, Real Interest Rates, and the Bond Market: A Study of UK Nominal and Index-Linked Government Bond Prices," NBER Working Papers 5821, National Bureau of Economic Research, Inc.
    20. John Y. Campbell & Robert J. Shiller, 1996. "A Scorecard for Indexed Government Debt," Cowles Foundation Discussion Papers 1125, Cowles Foundation for Research in Economics, Yale University.
    21. 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.
    22. Pu Shen, 1998. "How important is the inflation risk premium?," Economic Review, Federal Reserve Bank of Kansas City, issue Q IV, pages 35-47.
    23. Darrell Duffie & Rui Kan, 1996. "A Yield-Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406.
    24. Michael J. Brennan & Ashley W. Wang & Yihong Xia, 2004. "Estimation and Test of a Simple Model of Intertemporal Capital Asset Pricing," Journal of Finance, American Finance Association, vol. 59(4), pages 1743-1776, 08.
    25. 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(01), pages 115-130, March.
    26. Pennacchi, George G, 1991. "Identifying the Dynamics of Real Interest Rates and Inflation: Evidence Using Survey Data," Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 53-86.
    27. Gibbons, Michael R & Ramaswamy, Krishna, 1993. "A Test of the Cox, Ingersoll, and Ross Model of the Term Structure," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 619-58.
    28. Martin Evans, 2002. "Real Risk, Inflation Risk, and the Term Structure," Working Papers gueconwpa~02-02-10, Georgetown University, Department of Economics.
    29. Buraschi, Andrea & Jiltsov, Alexei, 2005. "Inflation risk premia and the expectations hypothesis," Journal of Financial Economics, Elsevier, vol. 75(2), pages 429-490, February.
    30. Martin D. D. Evans, 1998. "Real Rates, Expected Inflation, and Inflation Risk Premia," Journal of Finance, American Finance Association, vol. 53(1), pages 187-218, 02.
    31. 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 617-30, July.
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