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A model-independent maximum range for the liquidity correction of TIPS yields

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  • Jens H. E. Christensen
  • James M. Gillan

Abstract

We derive a model-independent maximum range for the admissible liquidity risk premium in real Treasury bonds?also known as Treasury Inflation Protected Securities (TIPS). The range is constructed using additional information in the inflation swap market and a set of simple theoretical assumptions. As an application, we construct a lower bound to estimates of the inflation risk premium the Treasury receives from TIPS by deducting their maximum liquidity premium. This conservative measure of the benefit to the Treasury of issuing TIPS is positive on average at the ten-year maturity for our sample period.

Suggested Citation

  • Jens H. E. Christensen & James M. Gillan, 2011. "A model-independent maximum range for the liquidity correction of TIPS yields," Working Paper Series 2011-16, Federal Reserve Bank of San Francisco.
  • Handle: RePEc:fip:fedfwp:2011-16
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    References listed on IDEAS

    as
    1. Michael J. Fleming, 2003. "Measuring treasury market liquidity," Economic Policy Review, Federal Reserve Bank of New York, issue Sep, pages 83-108.
    2. 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.
    3. Matthias Fleckenstein & Francis A. Longstaff & Hanno Lustig, 2010. "Why Does the Treasury Issue Tips? The Tips-Treasury Bond Puzzle," NBER Working Papers 16358, National Bureau of Economic Research, Inc.
    4. Joyce, Michael A.S. & Lildholdt, Peter & Sorensen, Steffen, 2010. "Extracting inflation expectations and inflation risk premia from the term structure: A joint model of the UK nominal and real yield curves," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 281-294, February.
    5. Fleming, Michael J. & Mizrach, Bruce & Nguyen, Giang, 2018. "The microstructure of a U.S. Treasury ECN: The BrokerTec platform," Journal of Financial Markets, Elsevier, vol. 40(C), pages 2-22.
    6. 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.
    7. Jens H.E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2012. "Extracting Deflation Probability Forecasts from Treasury Yields," International Journal of Central Banking, International Journal of Central Banking, vol. 8(4), pages 21-60, December.
    8. William Dudley & Michelle Steinberg Ezer & Jennifer E. Roush, 2009. "The case for TIPS: an examination of the costs and benefits," Economic Policy Review, Federal Reserve Bank of New York, vol. 15(Jul), pages 1-17.
    9. 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.
    10. Tobias Adrian & Hao Wu, 2009. "The term structure of inflation expectations," Staff Reports 362, Federal Reserve Bank of New York.
    11. 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.
    12. 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.
    13. 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.
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    Cited by:

    1. 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.
    2. Bruno Feunou & Jean-Sébastien Fontaine, 2012. "Forecasting Inflation and the Inflation Risk Premiums Using Nominal Yields," Staff Working Papers 12-37, Bank of Canada.
    3. Daniel L. Tortorice & Arben Kita, 2018. "Can Risk Models Extract Inflation Expectations from Financial Market Data? Evidence from the Inflation Protected Securities of Six Countries," Working Papers 1801, College of the Holy Cross, Department of Economics.
    4. 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.
    5. Michael D. Bauer, 2015. "Inflation Expectations and the News," International Journal of Central Banking, International Journal of Central Banking, vol. 11(2), pages 1-40, March.

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    Keywords

    Inflation (Finance); Inflation-indexed bonds;

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