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Relationship between Treasury bills and Eurodollars: Theoretical and Empirical Analyses

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  • Cheng-few Lee
  • Keshab Shrestha
  • Robert Welch

Abstract

In this paper, we derive an equilibrium relationship between the yields on Eurodollar and Treasury bills based on equivalent martingale results derived by Harrison and Kreps ( 1979 ) and Harrison and Pliska ( 1981 , 1983 ) as well as the corporate debt pricing model developed by Merton ( 1974 ). The derived equilibrium relationship incorporates the models used by Booth and Tse ( 1995 ) and Shrestha and Welch ( 2001 ) as special cases. The equilibrium relationship indicates that the conditional volatility of the yield on Eurodollars explains the variation in the TED spread. We empirically test the equilibrium relationship using a GARCH-M model and the concept of fractional cointegration. We use both the ex ante data implied by the respective futures contracts as well as the ex post spot data with daily, weekly and monthly frequencies. We find empirical support for the Equilibrium relationship. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Cheng-few Lee & Keshab Shrestha & Robert Welch, 2007. "Relationship between Treasury bills and Eurodollars: Theoretical and Empirical Analyses," Review of Quantitative Finance and Accounting, Springer, vol. 28(2), pages 163-185, February.
    • Handle: RePEc:kap:rqfnac:v:28:y:2007:i:2:p:163-185
    DOI: 10.1007/s11156-006-0006-7
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    References listed on IDEAS

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    1. Tse, Yiuman & Booth, G. Geoffrey, 1996. "Common volatility and volatility spillovers between U.S. and Eurodollar interest rates: Evidence from the futures market," Journal of Economics and Business, Elsevier, vol. 48(3), pages 299-312, August.
    2. Diebold, Francis X. & Rudebusch, Glenn D., 1991. "On the power of Dickey-Fuller tests against fractional alternatives," Economics Letters, Elsevier, vol. 35(2), pages 155-160, February.
    3. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    4. Fung, Hung-Gay & Lo, Wai-Chung, 1995. "An Empirical Examination of the Ex Ante International Interest Rate Transmission," The Financial Review, Eastern Finance Association, vol. 30(1), pages 175-192, February.
    5. Harrison, J. Michael & Pliska, Stanley R., 1983. "A stochastic calculus model of continuous trading: Complete markets," Stochastic Processes and their Applications, Elsevier, vol. 15(3), pages 313-316, August.
    6. Lo, Andrew W, 1991. "Long-Term Memory in Stock Market Prices," Econometrica, Econometric Society, vol. 59(5), pages 1279-1313, September.
    7. Lumsdaine, Robin L, 1996. "Consistency and Asymptotic Normality of the Quasi-maximum Likelihood Estimator in IGARCH(1,1) and Covariance Stationary GARCH(1,1) Models," Econometrica, Econometric Society, vol. 64(3), pages 575-596, May.
    8. Lothian, James R., 2002. "The internationalization of money and finance and the globalization of financial markets," Journal of International Money and Finance, Elsevier, vol. 21(6), pages 699-724, November.
    9. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    10. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    11. G. Geoffrey Booth & Yiuman Tse, 1995. "Long memory in interest rate futures markets: A fractional cointegration analysis," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 15(5), pages 573-584, August.
    12. repec:bla:jfinan:v:59:y:2004:i:2:p:831-868 is not listed on IDEAS
    13. S. Scott MacDonald & Scott E. Hein, 1989. "Futures rates and forward rates as predictors of near‐term treasury bill rates," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 9(3), pages 249-262, June.
    14. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    15. Patric H. Hendershott, 1967. "The Structure Of International Interest Rates: The U.S. Treasury Bill Rate And The Eurodollar Deposit Rate," Journal of Finance, American Finance Association, vol. 22(3), pages 455-465, September.
    16. Hung‐Gay Fung & Wai K. Leung, 1993. "The pricing relationship of eurodollar futures and eurodollar deposit rates," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 13(2), pages 115-126, April.
    17. Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
    18. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-112, January.
    19. Nelson, Daniel B., 1990. "Stationarity and Persistence in the GARCH(1,1) Model," Econometric Theory, Cambridge University Press, vol. 6(3), pages 318-334, September.
    20. C. W. J. Granger & Roselyne Joyeux, 1980. "An Introduction To Long‐Memory Time Series Models And Fractional Differencing," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(1), pages 15-29, January.
    21. Fung, Hung-Gay & Isberg, Steven C., 1992. "The international transmission of eurodollar and US interest rates: A cointegration analysis," Journal of Banking & Finance, Elsevier, vol. 16(4), pages 757-769, August.
    22. Sowell, Fallaw, 1990. "The Fractional Unit Root Distribution," Econometrica, Econometric Society, vol. 58(2), pages 495-505, March.
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