IDEAS home Printed from https://ideas.repec.org/a/spr/portec/v20y2021i3d10.1007_s10258-020-00185-1.html
   My bibliography  Save this article

Relative pricing of French Treasury inflation-linked and nominal bonds: an empirical approach using arbitrage strategies

Author

Listed:
  • Béatrice Séverac

    (Université Paris Nanterre, UFR SEGMI, Bâtiment Maurice Allais)

  • José S. Fonseca

    (Faculty of Economics, University of Coimbra)

Abstract

This paper investigates whether arbitrage opportunities exist between inflation-linked bonds and nominal bonds on the French Treasury market. Following arbitrage theory, we apply the risk hedging concept: we set up self-financing portfolios hedged against risks through durations of different orders. Perfectly hedged portfolios are those with a zero initial and a zero final value. The results show arbitrage gains when the first three duration orders are implemented, but they are not significantly different from zero when a fourth-order duration is added. Furthermore, a regression of arbitrage gains on the illiquidity measure of nominal and index Treasury bonds provides evidence that the illiquidity of inflation-linked bonds significantly explains arbitrage gains, whereas the illiquidity measure of nominal bonds does not.

Suggested Citation

  • Béatrice Séverac & José S. Fonseca, 2021. "Relative pricing of French Treasury inflation-linked and nominal bonds: an empirical approach using arbitrage strategies," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 20(3), pages 273-295, September.
    • Handle: RePEc:spr:portec:v:20:y:2021:i:3:d:10.1007_s10258-020-00185-1
    DOI: 10.1007/s10258-020-00185-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10258-020-00185-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10258-020-00185-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Marcello Pericoli, 2014. "Real Term Structure and Inflation Compensation in the Euro Area," International Journal of Central Banking, International Journal of Central Banking, vol. 10(1), pages 1-42, March.
    2. Auckenthaler, Julia & Kupfer, Alexander & Sendlhofer, Rupert, 2015. "The impact of liquidity on inflation-linked bonds: A hypothetical indexed bonds approach," The North American Journal of Economics and Finance, Elsevier, vol. 32(C), pages 139-154.
    3. Alexander Kupfer, 2018. "Estimating Inflation Risk Premia Using Inflation‐Linked Bonds: A Review," Journal of Economic Surveys, Wiley Blackwell, vol. 32(5), pages 1326-1354, December.
    4. Fong, H Gifford & Vasicek, Oldrich A, 1984. "A Risk Minimizing Strategy for Portfolio Immunization," Journal of Finance, American Finance Association, vol. 39(5), pages 1541-1546, December.
    5. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    6. 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..
    7. 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.
    8. Nawalkha, Sanjay K. & Soto, Gloria M. & Zhang, Jun, 2003. "Generalized M-vector models for hedging interest rate risk," Journal of Banking & Finance, Elsevier, vol. 27(8), pages 1581-1604, August.
    9. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    10. Peter Hördahl & Oreste Tristani, 2014. "Inflation Risk Premia in the Euro Area and the United States," International Journal of Central Banking, International Journal of Central Banking, vol. 10(3), pages 1-47, September.
    11. 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.
    12. Nawalkha, Sanjay K., 1995. "The duration vector: A continuous-time extension to default-free interest rate contingent claims," Journal of Banking & Finance, Elsevier, vol. 19(8), pages 1359-1366, November.
    13. 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.
    14. Laatsch, Francis E. & Klein, Daniel P., 2005. "The nominal duration of TIPS bonds," Review of Financial Economics, Elsevier, vol. 14(1), pages 47-60.
    15. Driessen, Joost & Nijman, Theo E. & Simon, Zorka, 2017. "The missing piece of the puzzle: Liquidity premiums in inflation-indexed markets," SAFE Working Paper Series 183, Leibniz Institute for Financial Research SAFE.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Alberto Di Iorio & Marco Fanari, 2020. "Break-even inflation rates: the Italian case," Questioni di Economia e Finanza (Occasional Papers) 578, Bank of Italy, Economic Research and International Relations Area.
    3. Jappelli, Ruggero & Pelizzon, Loriana & Subrahmanyam, Marti G., 2023. "Quantitative easing, the repo market, and the term structure of interest rates," SAFE Working Paper Series 395, Leibniz Institute for Financial Research SAFE.
    4. Li, Kai, 2019. "Portfolio selection with inflation-linked bonds and indexation lags," Journal of Economic Dynamics and Control, Elsevier, vol. 107(C), pages 1-1.
    5. Feng Guo, 2019. "Estimating yield curves of the U.S. Treasury securities: An interpolation approach," Review of Financial Economics, John Wiley & Sons, vol. 37(2), pages 297-321, April.
    6. Robert A. Jarrow, 2009. "The Term Structure of Interest Rates," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 69-96, November.
    7. 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.).
    8. Hong, Zhiwu & Niu, Linlin & Zhang, Chen, 2022. "Affine arbitrage-free yield net models with application to the euro debt crisis," Journal of Econometrics, Elsevier, vol. 230(1), pages 201-220.
    9. Marcello Pericoli, 2019. "An assessment of recent trends in market-based expected iflation in the euro area," Questioni di Economia e Finanza (Occasional Papers) 542, Bank of Italy, Economic Research and International Relations Area.
    10. Lauren Stagnol, 2017. "Introducing global term structure in a risk parity framework," Working Papers hal-04141648, HAL.
    11. Munk, Claus & Sorensen, Carsten, 2004. "Optimal consumption and investment strategies with stochastic interest rates," Journal of Banking & Finance, Elsevier, vol. 28(8), pages 1987-2013, August.
    12. Kaya, Huseyin, 2013. "Forecasting the yield curve and the role of macroeconomic information in Turkey," Economic Modelling, Elsevier, vol. 33(C), pages 1-7.
    13. Kozicki, Sharon & Tinsley, P. A., 2001. "Shifting endpoints in the term structure of interest rates," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 613-652, June.
    14. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    15. 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.
    16. Houweling, Patrick & Hoek, Jaap & Kleibergen, Frank, 2001. "The joint estimation of term structures and credit spreads," Journal of Empirical Finance, Elsevier, vol. 8(3), pages 297-323, July.
    17. Makushkin, Mikhail & Lapshin, Victor, 2023. "Dynamic Nelson–Siegel model for market risk estimation of bonds: Practical implementation," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 69, pages 5-27.
    18. Oldrich Alfons Vasicek & Francisco Venegas-Martínez, 2021. "Models of the Term Structure of Interest Rates: Review, Trends, and Perspectives," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 16(2), pages 1-28, Abril - J.
    19. Andrea Carriero, 2011. "Forecasting The Yield Curve Using Priors From No‐Arbitrage Affine Term Structure Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(2), pages 425-459, May.
    20. Backus, David & Foresi, Silverio & Mozumdar, Abon & Wu, Liuren, 2001. "Predictable changes in yields and forward rates," Journal of Financial Economics, Elsevier, vol. 59(3), pages 281-311, March.

    More about this item

    Keywords

    Arbitrage; Duration; Inflation-linked bonds; Real interest rates; Inflation risk;
    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
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:spr:portec:v:20:y:2021:i:3:d:10.1007_s10258-020-00185-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.