IDEAS home Printed from https://ideas.repec.org/a/oup/revfin/v20y2016i3p1107-1152..html
   My bibliography  Save this article

Pricing Deflation Risk with US Treasury Yields

Author

Listed:
  • Jens H. E. Christensen
  • Jose A. Lopez
  • Glenn D. Rudebusch

Abstract

We use an arbitrage-free term structure model with spanned stochastic volatility to determine the value of the deflation protection option embedded in Treasury inflation-protected securities. The model accurately prices the deflation protection option prior to the financial crisis when its value was near zero; at the peak of the crisis in late 2008 when deflationary concerns spiked sharply; and in the post-crisis period. During 2009, the average value of this option at the 5-year maturity was 41 basis points on a par-yield basis. The option value is shown to be closely linked to overall market uncertainty as measured by the VIX, especially during and after the 2008 financial crisis.

Suggested Citation

  • 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.
    • Handle: RePEc:oup:revfin:v:20:y:2016:i:3:p:1107-1152.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1093/rof/rfv029
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or

    for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2014. "Can Spanned Term Structure Factors Drive Stochastic Yield Volatility?," Working Paper Series 2014-3, Federal Reserve Bank of San Francisco.
    2. 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.
    3. 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.
    4. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    5. Joost Driessen, 2005. "Is Default Event Risk Priced in Corporate Bonds?," The Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 165-195.
    6. Torben G. Andersen & Luca Benzoni, 2010. "Do Bonds Span Volatility Risk in the U.S. Treasury Market? A Specification Test for Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 65(2), pages 603-653, April.
    7. 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.
    8. 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.
    9. Eric T. Swanson & John C. Williams, 2014. "Measuring the Effect of the Zero Lower Bound on Medium- and Longer-Term Interest Rates," American Economic Review, American Economic Association, vol. 104(10), pages 3154-3185, October.
    10. Carolin E. Pflueger & Luis M. Viceira, 2011. "Return Predictability in the Treasury Market: Real Rates, Inflation, and Liquidity," NBER Working Papers 16892, National Bureau of Economic Research, Inc.
    11. Feldhütter, Peter & Lando, David, 2008. "Decomposing swap spreads," Journal of Financial Economics, Elsevier, vol. 88(2), pages 375-405, May.
    12. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
    13. 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.
    14. 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.
    15. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Rodrigo Guimarães, 2012. "What accounts for the fall in UK ten-year government bond yields?," Bank of England Quarterly Bulletin, Bank of England, vol. 52(3), pages 213-223.
    3. Olesya V. Grishchenko & Franck Moraux & Olga Pakulyak, 2025. "How Stable are Inflation Expectations in the Euro Area? Evidence from the Euro-Area Financial Markets," Finance and Economics Discussion Series 2025-041, Board of Governors of the Federal Reserve System (U.S.).
    4. 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.
    5. 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.
    6. Jens H. E. Christensen & Jose A. Lopez & Patrick Shultz, 2017. "Do All New Treasuries Trade at a Premium?," FRBSF Economic Letter, Federal Reserve Bank of San Francisco.
    7. 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.).
    8. Gimeno, Ricardo & Ibáñez, Alfredo, 2018. "The eurozone (expected) inflation: An option's eyes view," Journal of International Money and Finance, Elsevier, vol. 86(C), pages 70-92.
    9. Martin M Andreasen & Jens H E Christensen & Simon Riddell, 2021. "The TIPS Liquidity Premium [Decomposing real and nominal yield curves]," Review of Finance, European Finance Association, vol. 25(6), pages 1639-1675.
    10. Park, Alex & Lappas, Petros, 2017. "Evaluating demand charge reduction for commercial-scale solar PV coupled with battery storage," Renewable Energy, Elsevier, vol. 108(C), pages 523-532.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Martin M Andreasen & Jens H E Christensen & Simon Riddell, 2021. "The TIPS Liquidity Premium [Decomposing real and nominal yield curves]," Review of Finance, European Finance Association, vol. 25(6), pages 1639-1675.
    2. 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.
    3. Martin M. Andreasen & Jens H. E. Christensen & Simon Riddell, 2020. "The TIPS Liquidity Premium," Working Paper Series 2017-11, Federal Reserve Bank of San Francisco.
    4. 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.
    5. Asia Aman, 2019. "Are CDS Spreads Sensitive to the Term Structure of the Yield Curve? A Sector-Wise Analysis under Various Market Conditions," JRFM, MDPI, vol. 12(4), pages 1-13, September.
    6. Jens H. E. Christensen & Glenn D. Rudebusch, 2019. "A New Normal for Interest Rates? Evidence from Inflation-Indexed Debt," The Review of Economics and Statistics, MIT Press, vol. 101(5), pages 933-949, December.
    7. Christensen, Jens H.E. & Spiegel, Mark M., 2022. "Monetary reforms and inflation expectations in Japan: Evidence from inflation-indexed bonds," Journal of Econometrics, Elsevier, vol. 231(2), pages 410-431.
    8. 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.
    9. Bruno Feunou & Jean-Sébastien Fontaine, 2012. "Forecasting Inflation and the Inflation Risk Premiums Using Nominal Yields," Staff Working Papers 12-37, Bank of Canada.
    10. Ed Westerhout & Ona Ciocyte, 2017. "The role of inflation-linked bonds," CPB Discussion Paper 344, CPB Netherlands Bureau for Economic Policy Analysis.
    11. Lily Y. Liu, 2017. "Estimating Loss Given Default from CDS under Weak Identification," Supervisory Research and Analysis Working Papers RPA 17-1, Federal Reserve Bank of Boston.
    12. Liu, Yan & Wu, Jing Cynthia, 2021. "Reconstructing the yield curve," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1395-1425.
    13. 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.
    14. Jens H. E. Christensen & Jose A. Lopez & Paul L. Mussche, 2022. "Extrapolating Long-Maturity Bond Yields for Financial Risk Measurement," Management Science, INFORMS, vol. 68(11), pages 8286-8300, November.
    15. Dewachter, Hans & Iania, Leonardo, 2011. "An Extended Macro-Finance Model with Financial Factors," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 46(6), pages 1893-1916, December.
    16. Cláudia Simões & Luís Oliveira & Jorge M. Bravo, 2021. "Immunization Strategies for Funding Multiple Inflation-Linked Retirement Income Benefits," Risks, MDPI, vol. 9(4), pages 1-28, March.
    17. Gregory Bauer & Antonio Diez de los Rios, 2012. "An International Dynamic Term Structure Model with Economic Restrictions and Unspanned Risks," Staff Working Papers 12-5, Bank of Canada.
    18. 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.
    19. Bretscher, Lorenzo & Hsu, Alex & Tamoni, Andrea, 2020. "Fiscal policy driven bond risk premia," Journal of Financial Economics, Elsevier, vol. 138(1), pages 53-73.
    20. Antonio Díaz & Francisco Jareño & Eliseo Navarro, 2022. "Yield curve data choice and potential moral hazard: An empirical exercise on pricing callable bonds," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(2), pages 2124-2145, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:oup:revfin:v:20:y:2016:i:3:p:1107-1152.. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Oxford University Press (email available below). General contact details of provider: https://edirc.repec.org/data/eufaaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.