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The Statistical Distribution of Short-Term Libor Rates Under Two Monetary Regimes

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  • Bahram Pesaran
  • Gary Robinson

Abstract

The paper presents a statistical analysis of sterling libor interest rates in two monetary regimes: free-floating of sterling prior to ERM-entry, and the recent ERM regime. It is found that short-term libor rates follow a random walk with time-varying volatility and with interest rate changes drawn from a distribution with fat tails, (sic). The nature of interest rate changes is sensitive to monetary regime: interest rate changes in the pre-ERM regime are drawn from a distribution with much faster tails than for the ERM regime. These statistical characterisations of libor rates are inconsistent with existing models for pricing interest rate and bond options, which assume either that interest rates follow a random walk with constant volatility, or that interest rates are mean-reverting.

Suggested Citation

  • Bahram Pesaran & Gary Robinson, 1993. "The Statistical Distribution of Short-Term Libor Rates Under Two Monetary Regimes," Bank of England working papers 16, Bank of England.
    • Handle: RePEc:boe:boeewp:16
    as

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    File URL: http://www.bankofengland.co.uk/archive/Documents/historicpubs/workingpapers/1993/wp16.pdf
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    References listed on IDEAS

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    1. Hall, Joyce A. & Brorsen, B. Wade & Irwin, Scott H., 1989. "The Distribution of Futures Prices: A Test of the Stable Paretian and Mixture of Normals Hypotheses," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(1), pages 105-116, March.
    2. Giuseppe Bertola & Lars E. O. Svensson, 1993. "Stochastic Devaluation Risk and the Empirical Fit of Target-Zone Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 689-712.
    3. Pesaran, B & Robinson, G, 1993. "The European Exchange Rate Mechanism and the Volatility of the Sterling-Deutschemark Exchange Rate," Economic Journal, Royal Economic Society, vol. 103(421), pages 1418-1431, November.
    4. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    5. Rendleman, Richard J. & Bartter, Brit J., 1980. "The Pricing of Options on Debt Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 11-24, March.
    6. Svensson, Lars E. O., 1991. "Target zones and interest rate variability," Journal of International Economics, Elsevier, vol. 31(1-2), pages 27-54, August.
    7. Paul R. Krugman, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 669-682.
    8. Bertola, Giuseppe & Caballero, Ricardo J, 1992. "Target Zones and Realignments," American Economic Review, American Economic Association, vol. 82(3), pages 520-536, June.
    9. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    10. Francis X. Diebold, 1986. "Temporal aggregation of ARCH processes and the distribution of asset returns," Special Studies Papers 200, Board of Governors of the Federal Reserve System (U.S.).
    11. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    12. Longstaff, Francis A & Schwartz, Eduardo S, 1992. "Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model," Journal of Finance, American Finance Association, vol. 47(4), pages 1259-1282, September.
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