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Interest rate volatility: a consol rate-based measure

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  • Brousseau, Vincent
  • Durré, Alain

Abstract

In this paper we propose a new methodology to estimate the volatility of interest rates in the euro area money market. In particular, our approach aims at avoiding the limitations of currently available measures, i.e. the dependency on arbitrary choices in terms of maturity and frequencies and/or of factors other than pure interest rates, e.g. credit risk or liquidity risk. The measure is constructed as the implied instantaneous volatility of a consol bond that would be priced on the EONIA swap curve over the sample period from 4 January 1999 to 20 November 2012. We show that this measure tracks well the historical volatility, in the sense that dividing the consol excess returns by this volatility removes nearly entirely excess of kurtosis and volatility clustering, bringing them close to an ordinary Gaussian white noise. JEL Classification: E43, E58, C22, C32

Suggested Citation

  • Brousseau, Vincent & Durré, Alain, 2013. "Interest rate volatility: a consol rate-based measure," Working Paper Series 1505, European Central Bank.
    • Handle: RePEc:ecb:ecbwps:20131505
    Note: 229699
    as

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    References listed on IDEAS

    as
    1. Alain Durré & Stefano Nardelli, 2008. "Volatility in the Euro area money market: effects from the monetary policy operational framework," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 13(4), pages 307-322.
    2. Torben G. Andersen & Tim Bollerslev & Nour Meddahi, 2005. "Correcting the Errors: Volatility Forecast Evaluation Using High-Frequency Data and Realized Volatilities," Econometrica, Econometric Society, vol. 73(1), pages 279-296, January.
    3. Andersen, Torben G & Bollerslev, Tim, 1998. "Answering the Skeptics: Yes, Standard Volatility Models Do Provide Accurate Forecasts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 885-905, November.
    4. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    5. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold, 2002. "Parametric and Nonparametric Volatility Measurement," NBER Technical Working Papers 0279, National Bureau of Economic Research, Inc.
    6. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    7. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    8. Andersen T. G & Bollerslev T. & Diebold F. X & Labys P., 2001. "The Distribution of Realized Exchange Rate Volatility," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 42-55, March.
    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. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1979. "Duration and the Measurement of Basis Risk," The Journal of Business, University of Chicago Press, vol. 52(1), pages 51-61, January.
    11. Brousseau, Vincent, 2002. "The functional form of yield curves," Working Paper Series 148, European Central Bank.
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    Cited by:

    1. Emel Siklar & Ilyas Siklar, 2021. "Time Series Dynamics of Short Term Interest Rates in Turkey," Business and Economic Research, Macrothink Institute, vol. 11(1), pages 92-108, March.

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    More about this item

    Keywords

    Consol rate; historical volatility; interbank offered interest rates; overnight money market;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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