IDEAS home Printed from https://ideas.repec.org/p/boe/boeewp/16.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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

    Download full text from publisher

    File URL: http://www.bankofengland.co.uk/archive/Documents/historicpubs/workingpapers/1993/wp16.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Svensson, Lars E. O., 1991. "Target zones and interest rate variability," Journal of International Economics, Elsevier, vol. 31(1-2), pages 27-54, August.
    2. 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.
    3. 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.
    4. 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.
    5. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    6. 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.
    7. 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.).
    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. 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.
    10. 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.
    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.
    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. Gibson, Rajna & Lhabitant, Francois-Serge & Talay, Denis, 2010. "Modeling the Term Structure of Interest Rates: A Review of the Literature," Foundations and Trends(R) in Finance, now publishers, vol. 5(1–2), pages 1-156, December.
    2. Vajanne, Laura, . "The Exchange Rate Under Target Zones," ETLA A, The Research Institute of the Finnish Economy, number 16.
    3. Peter P. Carr & Zura Kakushadze, 2017. "FX options in target zones," Quantitative Finance, Taylor & Francis Journals, vol. 17(10), pages 1477-1486, October.
    4. Sutherland, Alan, 1995. "Monetary and real shocks and the optimal target zone," European Economic Review, Elsevier, vol. 39(1), pages 161-172, January.
    5. Jorgensen, Bjorn N. & Mikkelsen, Hans Ole ae, 1996. "An arbitrage free trilateral target zone model," Journal of International Money and Finance, Elsevier, vol. 15(1), pages 117-134, February.
    6. Fergusson, Kevin, 2020. "Less-Expensive Valuation And Reserving Of Long-Dated Variable Annuities When Interest Rates And Mortality Rates Are Stochastic," ASTIN Bulletin, Cambridge University Press, vol. 50(2), pages 381-417, May.
    7. Lewis, Karen K, 1996. "Stochastic Regime Switching and Stabilizing Policies within Regimes," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 1(2), pages 71-85, April.
    8. 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.
    9. repec:uts:finphd:40 is not listed on IDEAS
    10. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    11. Beetsma, Roel M W J & van der Ploeg, Frederick, 1994. "Intramarginal Interventions, Bands and the Pattern of EMS Exchange Rate Distributions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 583-602, August.
    12. Beetsma, Roel M. W. J., 1995. "EMS exchange rate bands: a Monte Carlo investigation of three target zone models," Journal of International Money and Finance, Elsevier, vol. 14(2), pages 311-328, April.
    13. Miller, Marcus & corrado, luisa, 2002. "Exchange Rate Monitoring Bands: Theory and Policy," CEPR Discussion Papers 3337, C.E.P.R. Discussion Papers.
    14. Beetsma, Roel M. W. J. & van der Ploeg, Frederick, 1998. "Macroeconomic stabilization and intervention policy under an exchange rate band," Journal of International Money and Finance, Elsevier, vol. 17(2), pages 339-353, April.
    15. Jean-Pierre Laffargue & Sanvi Avouyi-Dovi, 1992. "Anticipations stabilisatrices dans un système de serpent monétaire. Théorie et application au système monétaire européen," Revue Économique, Programme National Persée, vol. 43(6), pages 1107-1128.
    16. Zura Kakushadze, 2015. "Coping with Negative Short-Rates," Papers 1502.06074, arXiv.org, revised Aug 2015.
    17. Kevin John Fergusson, 2018. "Less-Expensive Pricing and Hedging of Extreme-Maturity Interest Rate Derivatives and Equity Index Options Under the Real-World Measure," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2018.
    18. Coutant, Sophie & Jondeau, Eric & Rockinger, Michael, 2001. "Reading PIBOR futures options smiles: The 1997 snap election," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 1957-1987, November.
    19. Constantin Mellios, 2001. "Valuation of Interest Rate Options in a Two-Factor Model of the Term Structure of Interest Rate," Working Papers 2001-1, Laboratoire Orléanais de Gestion - université d'Orléans.
    20. António Portugal Duarte & João Sousa Andrade & Adelaide Duarte, 2013. "Exchange Rate Target Zones: A Survey Of The Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 27(2), pages 247-268, April.
    21. Bekaert, Geert & Gray, Stephen F., 1998. "Target zones and exchange rates:: An empirical investigation," Journal of International Economics, Elsevier, vol. 45(1), pages 1-35, June.

    More about this item

    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:16. 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: 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. RePEc uses bibliographic data supplied by the respective publishers.