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Why Does the Treasury Issue Tips? The Tips-Treasury Bond Puzzle

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  • Matthias Fleckenstein
  • Francis A. Longstaff
  • Hanno Lustig

Abstract

We show that the price of a Treasury bond and an inflation-swapped TIPS issue exactly replicating the cash flows of the Treasury bond can differ by more than $20 per $100 notional. Treasury bonds are almost always overvalued relative to TIPS. Total TIPS-Treasury mispricing has exceeded $56 billion, representing nearly eight percent of the total amount of TIPS outstanding. TIPS-Treasury mispricing is strongly related to supply factors such as Treasury debt issuance and the availability of collateral in the financial markets, and is correlated with other types of fixed-income arbitrages, These results pose a major puzzle to classical asset pricing theory. In addition, they raise the issue of why the Treasury issues TIPS, since in so doing it both gives up a valuable fiscal hedging option and leaves large amounts of money on the table.

Suggested Citation

  • 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.
  • Handle: RePEc:nbr:nberwo:16358
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    1. Daves, Phillip R & Ehrhardt, Michael C, 1993. "Liquidity, Reconstitution, and the Value of U.S. Treasury Strips," Journal of Finance, American Finance Association, vol. 48(1), pages 315-329, March.
    2. John Y. Campbell, 1995. "Some Lessons from the Yield Curve," Journal of Economic Perspectives, American Economic Association, vol. 9(3), pages 129-152, Summer.
    3. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
    4. Jean-Luc Vila & Dimitri Vayanos, 1999. "Equilibrium interest rate and liquidity premium with transaction costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 509-539.
    5. Acharya, Viral V. & Pedersen, Lasse Heje, 2005. "Asset pricing with liquidity risk," Journal of Financial Economics, Elsevier, vol. 77(2), pages 375-410, August.
    6. Dimitri Vayanos & Pierre‐Olivier Weill, 2008. "A Search‐Based Theory of the On‐the‐Run Phenomenon," Journal of Finance, American Finance Association, vol. 63(3), pages 1361-1398, June.
    7. Duffie, Darrell & Singleton, Kenneth J, 1997. "An Econometric Model of the Term Structure of Interest-Rate Swap Yields," Journal of Finance, American Finance Association, vol. 52(4), pages 1287-1321, September.
    8. Robert Barro, 2003. "Optimal Management of Indexed and Nominal Debt," Annals of Economics and Finance, Society for AEF, vol. 4(1), pages 1-15, May.
    9. Buraschi, Andrea & Jiltsov, Alexei, 2005. "Inflation risk premia and the expectations hypothesis," Journal of Financial Economics, Elsevier, vol. 75(2), pages 429-490, February.
    10. Buera, Francisco & Nicolini, Juan Pablo, 2004. "Optimal maturity of government debt without state contingent bonds," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 531-554, April.
    11. Kamara, A., 1988. "Trading Structures And Asset Pricing: Evidence From The Treasury Bill Markets," Papers 169, Columbia - Center for Futures Markets.
    12. Jun Liu, 2004. "Losing Money on Arbitrage: Optimal Dynamic Portfolio Choice in Markets with Arbitrage Opportunities," The Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 611-641.
    13. Mark Grinblatt & Francis A. Longstaff, 2000. "Financial Innovation and the Role of Derivative Securities: An Empirical Analysis of the Treasury STRIPS Program," Journal of Finance, American Finance Association, vol. 55(3), pages 1415-1436, June.
    14. Longstaff, Francis A, 1992. "Are Negative Option Prices Possible? The Callable U.S. Treasury-Bond Puzzle," The Journal of Business, University of Chicago Press, vol. 65(4), pages 571-592, October.
    15. Lasse Heje Pedersen & Mark Mitchell & Todd Pulvino, 2007. "Slow Moving Capital," American Economic Review, American Economic Association, vol. 97(2), pages 215-220, May.
    16. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
    17. 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.
    18. Tobias Adrian & Hao Wu, 2009. "The term structure of inflation expectations," Staff Reports 362, Federal Reserve Bank of New York.
    19. Kay Giesecke & Francis A. Longstaff & Stephen Schaefer & Ilya Strebulaev, 2010. "Corporate Bond Default Risk: A 150-Year Perspective," NBER Working Papers 15848, National Bureau of Economic Research, Inc.
    20. Alessandro Beber & Michael W. Brandt & Kenneth A. Kavajecz, 2009. "Flight-to-Quality or Flight-to-Liquidity? Evidence from the Euro-Area Bond Market," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 925-957, March.
    21. Vayanos, Dimitri, 2004. "Flight to quality, flight to liquidity, and the pricing of risk," LSE Research Online Documents on Economics 456, London School of Economics and Political Science, LSE Library.
    22. Seppala, Juha, 2004. "The term structure of real interest rates: theory and evidence from UK index-linked bonds," Journal of Monetary Economics, Elsevier, vol. 51(7), pages 1509-1549, October.
    23. Bing Han & Francis A. Longstaff & Craig Merrill, 2007. "The U.S. Treasury Buyback Auctions: The Cost of Retiring Illiquid Bonds," Journal of Finance, American Finance Association, vol. 62(6), pages 2673-2693, December.
    24. Huang, Jennifer & Wang, Jiang, 2010. "Market liquidity, asset prices, and welfare," Journal of Financial Economics, Elsevier, vol. 95(1), pages 107-127, January.
    25. 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..
    26. 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.
    27. 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.
    28. Cammack, Elizabeth B, 1991. "Evidence on Bidding Strategies and the Information in Treasury Bill Auctions," Journal of Political Economy, University of Chicago Press, vol. 99(1), pages 100-130, February.
    29. Amihud, Yakov & Mendelson, Haim, 1991. "Liquidity, Maturity, and the Yields on U.S. Treasury Securities," Journal of Finance, American Finance Association, vol. 46(4), pages 1411-1425, September.
    30. Francis A. Longstaff, 2009. "Portfolio Claustrophobia: Asset Pricing in Markets with Illiquid Assets," American Economic Review, American Economic Association, vol. 99(4), pages 1119-1144, September.
    31. Hinnerich, Mia, 2008. "Inflation-indexed swaps and swaptions," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2293-2306, November.
    32. Jun Liu & Francis A. Longstaff & Ravit E. Mandell, 2006. "The Market Price of Risk in Interest Rate Swaps: The Roles of Default and Liquidity Risks," The Journal of Business, University of Chicago Press, vol. 79(5), pages 2337-2360, September.
    33. Ana Fostel & John Geanakoplos, 2008. "Collateral restrictions and liquidity under-supply: a simple model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 441-467, June.
    34. Lustig, Hanno & Sleet, Christopher & Yeltekin, Sevin, 2008. "Fiscal hedging with nominal assets," Journal of Monetary Economics, Elsevier, vol. 55(4), pages 710-727, May.
    35. Arora, Navneet & Gandhi, Priyank & Longstaff, Francis A., 2012. "Counterparty credit risk and the credit default swap market," Journal of Financial Economics, Elsevier, vol. 103(2), pages 280-293.
    36. Adam Ashcraft & Nicolae Gârleanu & Lasse Heje Pedersen, 2011. "Two Monetary Tools: Interest Rates and Haircuts," NBER Chapters, in: NBER Macroeconomics Annual 2010, volume 25, pages 143-180, National Bureau of Economic Research, Inc.
    37. Darrell Duffie & Lasse Heje Pedersen & Kenneth J. Singleton, 2003. "Modeling Sovereign Yield Spreads: A Case Study of Russian Debt," Journal of Finance, American Finance Association, vol. 58(1), pages 119-159, February.
    38. Kamara, Avraham, 1994. "Liquidity, Taxes, and Short-Term Treasury Yields," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(3), pages 403-417, September.
    39. Boudoukh, Jacob & Whitelaw, Robert F, 1993. "Liquidity as a Choice Variable: A Lesson from the Japanese Government Bond Market," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 265-292.
    40. Bohn, Henning, 1988. "Why do we have nominal government debt?," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 127-140, January.
    41. Francis A. Longstaff & Arvind Rajan, 2008. "An Empirical Analysis of the Pricing of Collateralized Debt Obligations," Journal of Finance, American Finance Association, vol. 63(2), pages 529-563, April.
    42. Shleifer, Andrei & Vishny, Robert W, 1997. "The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    43. George-Marios Angeletos, 2002. "Fiscal Policy with Noncontingent Debt and the Optimal Maturity Structure," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 1105-1131.
    44. Krishnamurthy, Arvind, 2002. "The bond/old-bond spread," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 463-506.
    45. Jefferson Duarte & Francis A. Longstaff & Fan Yu, 2007. "Risk and Return in Fixed-Income Arbitrage: Nickels in Front of a Steamroller?," The Review of Financial Studies, Society for Financial Studies, vol. 20(3), pages 769-811.
    46. Avraham Kamara, 1988. "Market Trading Structures and Asset Pricing: Evidence from the Treasury- Bill Markets," The Review of Financial Studies, Society for Financial Studies, vol. 1(4), pages 357-375.
    47. Duffie, Darrell & Huang, Ming, 1996. "Swap Rates and Credit Quality," Journal of Finance, American Finance Association, vol. 51(3), pages 921-949, July.
    48. Francis A. Longstaff & Pedro Santa‐Clara & Eduardo S. Schwartz, 2001. "The Relative Valuation of Caps and Swaptions: Theory and Empirical Evidence," Journal of Finance, American Finance Association, vol. 56(6), pages 2067-2109, December.
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    2. 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.
    3. Nguyen, Giang & Engle, Robert & Fleming, Michael & Ghysels, Eric, 2020. "Liquidity and volatility in the U.S. Treasury market," Journal of Econometrics, Elsevier, vol. 217(2), pages 207-229.
    4. Roger E. A. Farmer, 2012. "The effect of conventional and unconventional monetary policy rules on inflation expectations: theory and evidence," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 28(4), pages 622-639, WINTER.
    5. Faust, Jon & Wright, Jonathan H., 2013. "Forecasting Inflation," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 2-56, Elsevier.
    6. Iryna Kaminska & Dimitri Vayanos & Gabriele Zinna, 2011. "Preferred-Habitat Investors and the US Term Structure of Real Rates," FMG Discussion Papers dp674, Financial Markets Group.
    7. Andrea Ajello & Luca Benzoni & Olena Chyruk & Stijn Van Nieuwerburgh, 2020. "Core and ‘Crust’: Consumer Prices and the Term Structure of Interest Rates," The Review of Financial Studies, Society for Financial Studies, vol. 33(8), pages 3719-3765.
    8. Bryan Kelly & Hanno Lustig & Stijn Van Nieuwerburgh, 2016. "Too-Systemic-to-Fail: What Option Markets Imply about Sector-Wide Government Guarantees," American Economic Review, American Economic Association, vol. 106(6), pages 1278-1319, June.
    9. John H. Cochrane, 2011. "Discount Rates," NBER Working Papers 16972, National Bureau of Economic Research, Inc.
    10. Cartea, Álvaro & Saúl, Jonatan & Toro, Juan, 2012. "Optimal portfolio choice in real terms: Measuring the benefits of TIPS," Journal of Empirical Finance, Elsevier, vol. 19(5), pages 721-740.
    11. Annette Vissing-Jorgensen & Arvind Krishnamurthy, 2011. "The Effects of Quantitative Easing on Long-term Interest Rates," 2011 Meeting Papers 1447, Society for Economic Dynamics.
    12. Dong Lou & Hongjun Yan & Jinfan Zhang, 2013. "Anticipated and Repeated Shocks in Liquid Markets," The Review of Financial Studies, Society for Financial Studies, vol. 26(8), pages 1891-1912.
    13. 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.
    14. Fontana, Alessandro & Scheicher, Martin, 2016. "An analysis of euro area sovereign CDS and their relation with government bonds," Journal of Banking & Finance, Elsevier, vol. 62(C), pages 126-140.
    15. Emmanuel Mamatzakis & Panos Remoundos, 2012. "What are the Driving Factors Behind the Rise of Spreads and CDS of Eurozone Sovereign Bonds? A Panel VAR Analysis," World Scientific Book Chapters, in: Risk Management Institute, Singapore (ed.), Global Credit Review, chapter 5, pages 79-94, World Scientific Publishing Co. Pte. Ltd..
    16. Ang, Andrew & Longstaff, Francis A., 2013. "Systemic sovereign credit risk: Lessons from the U.S. and Europe," Journal of Monetary Economics, Elsevier, vol. 60(5), pages 493-510.
    17. Hanno Lustig & Stijn Van Nieuwerburgh & Adrien Verdelhan, 2013. "The Wealth-Consumption Ratio," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 3(1), pages 38-94.
    18. 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.
    19. Stefan Waldenberger, 2015. "The affine inflation market models," Papers 1503.04979, arXiv.org.
    20. Michael J. Fleming & Neel Krishnan, 2012. "The microstructure of the TIPS market," Economic Policy Review, Federal Reserve Bank of New York, vol. 18(Mar), pages 27-45.
    21. Boons, M.F., 2014. "Sorting out commodity and macroeconomic risk in expected stock returns," Other publications TiSEM 1ebdac58-bf37-499d-8835-1, Tilburg University, School of Economics and Management.

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    JEL classification:

    • E6 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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