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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

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Paper provided by European Central Bank in its series Working Paper Series with number 1505.

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Date of creation: Jan 2013
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Handle: RePEc:ecb:ecbwps:20131505

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Keywords: Consol rate; historical volatility; interbank offered interest rates; Overnight money market;

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  1. 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.
  2. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
  3. 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, American Statistical Association, vol. 96, pages 42-55, March.
  4. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold, 2002. "Parametric and Nonparametric Volatility Measurement," Center for Financial Institutions Working Papers, Wharton School Center for Financial Institutions, University of Pennsylvania 02-27, Wharton School Center for Financial Institutions, University of Pennsylvania.
  5. Torben G. Andersen & Tim Bollerslev & Nour Meddahi, 2005. "Correcting the Errors: Volatility Forecast Evaluation Using High-Frequency Data and Realized Volatilities," Econometrica, Econometric Society, Econometric Society, vol. 73(1), pages 279-296, 01.
  6. 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., John Wiley & Sons, Ltd., vol. 13(4), pages 307-322.
  7. 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.
  8. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, Econometric Society, vol. 60(1), pages 77-105, January.
  9. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, Elsevier, vol. 5(2), pages 177-188, November.
  10. Darrell Duffie & Rui Kan, 1996. "A Yield-Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, Wiley Blackwell, vol. 6(4), pages 379-406.
  11. Brousseau, Vincent, 2002. "The functional form of yield curves," Working Paper Series, European Central Bank 0148, European Central Bank.
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