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Decomposing real and nominal yield curves

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We present an affine term structure model for the joint pricing of Treasury Inflation-Protected Securities (TIPS) and Treasury yield curves that adjusts for TIPS? relative illiquidity. Our estimation using linear regressions is computationally very fast and can accommodate unspanned factors. The baseline specification with six principal components extracted from Treasury and TIPS yields, in combination with a liquidity factor, generates negligibly small pricing errors for both real and nominal yields. Model-implied expected inflation provides a better prediction of actual inflation than breakeven inflation. The value of the deflation floor calculated from the model is generally small in magnitude, but spiked during the recent crisis.

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  • Michael Abrahams & Tobias Adrian & Richard K. Crump & Emanuel Moench, 2012. "Decomposing real and nominal yield curves," Staff Reports 570, Federal Reserve Bank of New York.
    • Handle: RePEc:fip:fednsr:570
    Note: Previous title: “Pricing TIPS and Treasuries with Linear Regressions”
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    1. Ben S. Bernanke & Kenneth N. Kuttner, 2005. "What Explains the Stock Market's Reaction to Federal Reserve Policy?," Journal of Finance, American Finance Association, vol. 60(3), pages 1221-1257, June.
    2. Kitsul, Yuriy & Wright, Jonathan H., 2013. "The economics of options-implied inflation probability density functions," Journal of Financial Economics, Elsevier, vol. 110(3), pages 696-711.
    3. Jean-Sébastien Fontaine & René Garcia, 2012. "Bond Liquidity Premia," The Review of Financial Studies, Society for Financial Studies, vol. 25(4), pages 1207-1254.
    4. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2011. "The Effects of Quantitative Easing on Interest Rates: Channels and Implications for Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 42(2 (Fall)), pages 215-287.
    5. Scott Joslin & Kenneth J. Singleton & Haoxiang Zhu, 2011. "A New Perspective on Gaussian Dynamic Term Structure Models," The Review of Financial Studies, Society for Financial Studies, vol. 24(3), pages 926-970.
    6. Scott Joslin & Marcel Priebsch & Kenneth J. Singleton, 2014. "Risk Premiums in Dynamic Term Structure Models with Unspanned Macro Risks," Journal of Finance, American Finance Association, vol. 69(3), pages 1197-1233, June.
    7. Emi Nakamura & Jón Steinsson, 2018. "High-Frequency Identification of Monetary Non-Neutrality: The Information Effect," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(3), pages 1283-1330.
    8. Richard K. Crump & Stefano Eusepi & Emanuel Moench, 2016. "The term structure of expectations and bond yields," Staff Reports 775, Federal Reserve Bank of New York.
    9. John H. Cochrane & Monika Piazzesi, 2005. "Bond Risk Premia," American Economic Review, American Economic Association, vol. 95(1), pages 138-160, March.
    10. Rigobon, Roberto & Sack, Brian, 2004. "The impact of monetary policy on asset prices," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1553-1575, November.
    11. Grace Xing Hu & Jun Pan & Jiang Wang, 2013. "Noise as Information for Illiquidity," Journal of Finance, American Finance Association, vol. 68(6), pages 2341-2382, December.
    12. Adrian, Tobias & Crump, Richard K. & Moench, Emanuel, 2013. "Pricing the term structure with linear regressions," Journal of Financial Economics, Elsevier, vol. 110(1), pages 110-138.
    13. Annette Vissing-Jorgensen & Arvind Krishnamurthy, 2011. "The Effects of Quantitative Easing on Long-term Interest Rates," 2011 Meeting Papers 1447, Society for Economic Dynamics.
    14. Joseph E. Gagnon & Matthew Raskin & Julie Remache & Brian P. Sack, 2011. "Large-scale asset purchases by the Federal Reserve: did they work?," Economic Policy Review, Federal Reserve Bank of New York, vol. 17(May), pages 41-59.
    15. DellʼAriccia, Giovanni & Laeven, Luc & Marquez, Robert, 2014. "Real interest rates, leverage, and bank risk-taking," Journal of Economic Theory, Elsevier, vol. 149(C), pages 65-99.
    16. John Y. Campbell & Robert J. Shiller & Luis M. Viceira, 2009. "Understanding Inflation-Indexed Bond Markets," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 40(1 (Spring), pages 79-138.
    17. Abrahams, Michael & Adrian, Tobias & Crump, Richard K. & Moench, Emanuel & Yu, Rui, 2016. "Decomposing real and nominal yield curves," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 182-200.
    18. Tobias Adrian & Hao Wu, 2009. "The term structure of inflation expectations," Staff Reports 362, Federal Reserve Bank of New York.
    19. Tobias Adrian & Nina Boyarchenko, 2012. "Intermediary leverage cycles and financial stability," Staff Reports 567, Federal Reserve Bank of New York, revised 01 Feb 2015.
    20. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    21. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 495-514.
    22. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, February.
    23. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2010. "Inflation Expectations and Risk Premiums in an Arbitrage-Free Model of Nominal and Real Bond Yields," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 143-178, September.
    24. 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.).
    25. Refet S. Gürkaynak & Brian Sack & Jonathan H. Wright, 2010. "The TIPS Yield Curve and Inflation Compensation," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(1), pages 70-92, January.
    26. Tristani, Oreste & Hördahl, Peter, 2010. "Inflation risk premia in the US and the euro area," Working Paper Series 1270, European Central Bank.
    27. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2016. "Pricing Deflation Risk with US Treasury Yields," Review of Finance, European Finance Association, vol. 20(3), pages 1107-1152.
    28. Glenn D. Rudebusch & Eric T. Swanson, 2012. "The Bond Premium in a DSGE Model with Long-Run Real and Nominal Risks," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 105-143, January.
    29. John Y. Campbell & Robert J. Shiller & Luis M. Viceira, 2009. "Understanding Inflation-Indexed Bond Markets," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 40(1 (Spring), pages 79-138.
    30. Michael Woodford, 2012. "Methods of policy accommodation at the interest-rate lower bound," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 185-288.
    31. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    32. Nikolay Gospodinov & Bin Wei, 2016. "Forecasts of inflation and interest rates in no-arbitrage affine models," FRB Atlanta Working Paper 2016-3, Federal Reserve Bank of Atlanta.
    33. Michael D. Bauer & Glenn D. Rudebusch, 2014. "The Signaling Channel for Federal Reserve Bond Purchases," International Journal of Central Banking, International Journal of Central Banking, vol. 10(3), pages 233-289, September.
    34. Christensen, Jens H.E. & Diebold, Francis X. & Rudebusch, Glenn D., 2011. "The affine arbitrage-free class of Nelson-Siegel term structure models," Journal of Econometrics, Elsevier, vol. 164(1), pages 4-20, September.
    35. Adrian, Tobias & Song Shin, Hyun, 2010. "Financial Intermediaries and Monetary Economics," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 12, pages 601-650, Elsevier.
    36. Michael J. Fleming & John Sporn, 2013. "Trading activity and price transparency in the inflation swap market," Economic Policy Review, Federal Reserve Bank of New York, vol. 19(May), pages 45-57.
    37. Joseph Haubrich & George Pennacchi & Peter Ritchken, 2012. "Inflation Expectations, Real Rates, and Risk Premia: Evidence from Inflation Swaps," The Review of Financial Studies, Society for Financial Studies, vol. 25(5), pages 1588-1629.
    38. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
    39. Robert Elsasser & Brian P. Sack, 2004. "Treasury inflation-indexed debt: a review of the U.S. experience," Economic Policy Review, Federal Reserve Bank of New York, issue May, pages 47-63.
    40. Adrian, Tobias & Shin, Hyun Song, 2010. "Liquidity and leverage," Journal of Financial Intermediation, Elsevier, vol. 19(3), pages 418-437, July.
    41. 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.).
    42. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2011. "The Effects of Quantitative Easing on Interest Rates: Channels and Implications for Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 43(2 (Fall)), pages 215-287.
    43. Gregory R. Duffee, 2011. "Information in (and not in) the Term Structure," The Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2895-2934.
    44. Roberto Rigobon, 2003. "Identification Through Heteroskedasticity," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 777-792, November.
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    More about this item

    Keywords

    TIPS; break-evens; expected inflation; inflation risk premium; affine term-structure model; liquidity risk;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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