IDEAS home Printed from https://ideas.repec.org/p/boe/boeewp/0849.html
   My bibliography  Save this paper

No-arbitrage pricing of GDP-linked bonds

Author

Listed:
  • Eguren-Martin, Fernando

    (Bank of England)

  • Meldrum, Andrew

    (Federal Reserve Board)

  • Yan, Wen

    (Barclays Capital)

Abstract

We use a no-arbitrage term structure model of equity yields computed from the prices of dividend swaps to estimate the yields on hypothetical bonds with cash-flows indexed to the level of US GDP. This provides a novel approach for estimating the possible relative cost of conventional and GDP-linked bonds, which is likely to be of interest to sovereigns considering the case for issuing GDP-linked debt. Our model predicts that US GDP-linked bonds would typically have yields lower than those on conventional Treasury bonds with the same maturity in our sample from 2010 to 2017. Positive expected future GDP growth lowers the yield on GDP-linked bonds relative to conventional bonds, which typically more than offsets the estimated GDP risk premium demanded by investors for holding GDP risk. These risk premia decrease with maturity,with unconditional averages falling in absolute value from 7 percentage points at the short-end of the curve to 1 percentage points at the 10-year horizon.

Suggested Citation

  • Eguren-Martin, Fernando & Meldrum, Andrew & Yan, Wen, 2020. "No-arbitrage pricing of GDP-linked bonds," Bank of England working papers 849, Bank of England.
  • Handle: RePEc:boe:boeewp:0849
    as

    Download full text from publisher

    File URL: https://www.bankofengland.co.uk/-/media/boe/files/working-paper/2020/no-arbitrage-pricing-of-gdp-linked-bonds.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. David Barr & Oliver Bush & Alex Pienkowski, 2014. "GDP-linked Bonds and Sovereign Default," International Economic Association Series, in: Joseph E. Stiglitz & Daniel Heymann (ed.), Life After Debt, chapter 4, pages 246-275, Palgrave Macmillan.
    2. 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.
    3. 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.
    4. Michael D. Bauer & Glenn D. Rudebusch, 2017. "Resolving the Spanning Puzzle in Macro-Finance Term Structure Models," Review of Finance, European Finance Association, vol. 21(2), pages 511-553.
    5. Shiller, Robert J., 1998. "Macro Markets: Creating Institutions for Managing Society's Largest Economic Risks," OUP Catalogue, Oxford University Press, number 9780198294184.
    6. Kim, Don H. & Orphanides, Athanasios, 2012. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(1), pages 241-272, February.
    7. Mark Kamstra & Robert Shiller, 2009. "The Case for Trills: Giving the People and Their Pension Funds a Stake in the Wealth of the Nation," Yale School of Management Working Papers amz2418, Yale School of Management.
    8. Scott Joslin & Kenneth J. Singleton & Haoxiang Zhu, 2011. "A New Perspective on Gaussian Dynamic Term Structure Models," Review of Financial Studies, Society for Financial Studies, vol. 24(3), pages 926-970.
    9. 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.
    10. 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.
    11. Barr, David & Bush, Oliver & Pienkowski, Alex, 2014. "GDP-linked bonds and sovereign default," Bank of England working papers 484, Bank of England.
    12. Anderson, Bing & Hammond, Peter J. & Ramezani, Cyrus A., 2010. "Affine Models of the Joint Dynamics of Exchange Rates and Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(5), pages 1341-1365, October.
    13. Sarah Mouabbi & Jean-Paul Renne & Jean-Guillaume Sahuc, 2020. "Taming Debt: Can GDP-Linked Bonds Do the Trick?," EconomiX Working Papers 2020-13, University of Paris Nanterre, EconomiX.
    14. Hamilton, James D. & Wu, Jing Cynthia, 2012. "Identification and estimation of Gaussian affine term structure models," Journal of Econometrics, Elsevier, vol. 168(2), pages 315-331.
    15. 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.
    16. Gurkaynak, Refet S. & Sack, Brian & Wright, Jonathan H., 2007. "The U.S. Treasury yield curve: 1961 to the present," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2291-2304, November.
    17. Lawrence H Summers, 2015. "Have we Entered an Age of Secular Stagnation? IMF Fourteenth Annual Research Conference in Honor of Stanley Fischer, Washington, DC," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 63(1), pages 277-280, May.
    18. Gregory R. Duffee, 2011. "Information in (and not in) the Term Structure," Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2895-2934.
    19. Chamon, Marcos & Mauro, Paolo, 2006. "Pricing growth-indexed bonds," Journal of Banking & Finance, Elsevier, vol. 30(12), pages 3349-3366, December.
    20. Olivier J. Blanchard & Paolo Mauro & Julien Acalin, 2016. "The Case for Growth-Indexed Bonds in Advanced Economies Today," Policy Briefs PB16-2, Peterson Institute for International Economics.
    21. Benford, James & Joy, Mark & Kruger, Mark, 2016. "Sovereign GDP-linked bonds," Bank of England Financial Stability Papers 39, Bank of England.
    22. Eduardo Borensztein & Paolo Mauro, 2004. "The case for GDP-indexed bonds [‘World income components: measuring and exploiting risk-sharing opportunities’]," Economic Policy, CEPR;CES;MSH, vol. 19(38), pages 166-216.
    23. David Beers & Elliot Jones & John Walsh, 2020. "BoC-BoE Sovereign Default Database: What’s New in 2020?," Staff Analytical Notes 2020-13, Bank of Canada.
    24. Michael D. Bauer & Glenn D. Rudebusch, 2016. "Monetary Policy Expectations at the Zero Lower Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(7), pages 1439-1465, October.
    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. Sarah Mouabbi & Jean-Paul Renne & Jean-Guillaume Sahuc, 2020. "Taming Debt: Can GDP-Linked Bonds Do the Trick?," EconomiX Working Papers 2020-13, University of Paris Nanterre, EconomiX.

    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. Goliński, Adam & Spencer, Peter, 2017. "The advantages of using excess returns to model the term structure," Journal of Financial Economics, Elsevier, vol. 125(1), pages 163-181.
    2. Goliński, Adam & Zaffaroni, Paolo, 2016. "Long memory affine term structure models," Journal of Econometrics, Elsevier, vol. 191(1), pages 33-56.
    3. Meldrum, Andrew & Raczko, Marek & Spencer, Peter, 2018. "The information in the joint term structures of bond yields," Bank of England working papers 772, Bank of England.
    4. Malik, Sheheryar & Meldrum, Andrew, 2016. "Evaluating the robustness of UK term structure decompositions using linear regression methods," Journal of Banking & Finance, Elsevier, vol. 67(C), pages 85-102.
    5. P. Byrne, Joseph & Cao, Shuo & Korobilis, Dimitris, 2015. "Term Structure Dynamics, Macro-Finance Factors and Model Uncertainty," SIRE Discussion Papers 2015-71, Scottish Institute for Research in Economics (SIRE).
    6. Adam Golinski & Peter Spencer, 2019. "Estimating the term structure with linear regressions: Getting to the roots of the problem," Discussion Papers 19/05, Department of Economics, University of York.
    7. Chiarella, Carl & Hsiao, Chih-Ying & Tô, Thuy-Duong, 2016. "Stochastic correlation and risk premia in term structure models," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 59-78.
    8. Rui Liu, 2019. "Forecasting Bond Risk Premia with Unspanned Macroeconomic Information," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 9(01), pages 1-62, March.
    9. Duffee, Gregory, 2013. "Forecasting Interest Rates," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 385-426, Elsevier.
    10. Breach, Tomas & D’Amico, Stefania & Orphanides, Athanasios, 2020. "The term structure and inflation uncertainty," Journal of Financial Economics, Elsevier, vol. 138(2), pages 388-414.
    11. Schupp, Fabian & Geiger, Felix, 2018. "With a little help from my friends: Survey-based derivation of euro area short rate expectations at the effective lower bound," VfS Annual Conference 2018 (Freiburg, Breisgau): Digital Economy 181529, Verein für Socialpolitik / German Economic Association.
    12. Doshi, Hitesh & Jacobs, Kris & Liu, Rui, 2018. "Macroeconomic determinants of the term structure: Long-run and short-run dynamics," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 99-122.
    13. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
    14. Hamilton, James D. & Wu, Jing Cynthia, 2014. "Testable implications of affine term structure models," Journal of Econometrics, Elsevier, vol. 178(P2), pages 231-242.
    15. 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.
    16. Christensen, Bent Jesper & van der Wel, Michel, 2019. "An asset pricing approach to testing general term structure models," Journal of Financial Economics, Elsevier, vol. 134(1), pages 165-191.
    17. Lloyd, Simon P., 2020. "Estimating nominal interest rate expectations: Overnight indexed swaps and the term structure," Journal of Banking & Finance, Elsevier, vol. 119(C).
    18. Guo, Bin & Huang, Fuzhe & Li, Kai, 2020. "Time to build and bond risk premia," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    19. Michael D. Bauer, 2018. "Restrictions on Risk Prices in Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(2), pages 196-211, April.
    20. Jonathan Hambur & Richard Finlay, 2018. "Affine Endeavour: Estimating a Joint Model of the Nominal and Real Term Structures of Interest Rates in Australia," RBA Research Discussion Papers rdp2018-02, Reserve Bank of Australia.

    More about this item

    Keywords

    Affine term structure model (ATSM); bond yield; equity yield; risk premia; dividend swaps; GDP-linked bonds; spanned macroeconomic factors.;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G01 - Financial Economics - - General - - - Financial Crises
    • H63 - Public Economics - - National Budget, Deficit, and Debt - - - Debt; Debt Management; Sovereign Debt

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:boe:boeewp:0849. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/boegvuk.html .

    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: Digital Media Team (email available below). General contact details of provider: https://edirc.repec.org/data/boegvuk.html .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.