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Testing for a Level Effect in Short-Term Interest Rates

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  • Olan T. Henry
  • Sandy Suardi

Abstract

There is an extensive theoretical and empirical literature discussing the link between short-term interest rate volatility and interest rate levels. We present an LM based test for the presence of a level effect which is robust to the presence of unidentified nuisance parameter under the null of no level effect. We provide extensive Monte-Carlo evidence on the performance of this test under various DGPs. When applied to data on the 3-month US Treasury Bills rate, the test reports significant evidence of a level effect.

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Bibliographic Info

Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 924.

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Length: 40 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:mlb:wpaper:924

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Postal: Department of Economics, The University of Melbourne, 5th Floor, Economics and Commerce Building, Victoria, 3010, Australia
Phone: +61 3 8344 5289
Fax: +61 3 8344 6899
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Web page: http://www.economics.unimelb.edu.au
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Related research

Keywords: Level Effects; LM Tests; Davies Problem;

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References

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  1. Sandy Suardi & O.T.Henry & N. Olekalns, . "Equity Return and Short-Term Interest Rate Volatility: Level Effects and Asymmetric Dynamics," MRG Discussion Paper Series 0206, School of Economics, University of Queensland, Australia.
  2. Chan, K C, et al, 1992. " An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-27, July.
  3. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1980. " An Analysis of Variable Rate Loan Contracts," Journal of Finance, American Finance Association, vol. 35(2), pages 389-403, May.
  4. Geert Bekaert & Robert J. Hodrick & David A. Marshall, 1997. ""Peso problem" explanations for term structure anomalies," Working Paper Series, Issues in Financial Regulation WP-97-07, Federal Reserve Bank of Chicago.
  5. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  6. N. Gregory Mankiw & Jeffrey A. Miron, 1986. "The Changing Behavior of the Term Structure of Interest Rates," NBER Working Papers 1669, National Bureau of Economic Research, Inc.
  7. Wooldridge, Jeffrey M., 1990. "A Unified Approach to Robust, Regression-Based Specification Tests," Econometric Theory, Cambridge University Press, vol. 6(01), pages 17-43, March.
  8. 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 1259-82, September.
  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 637-54, May-June.
  10. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-70, March.
  11. Newey, Whitney K, 1985. "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, Econometric Society, vol. 53(5), pages 1047-70, September.
  12. Rose, Andrew Kenan, 1988. " Is the Real Interest Rate Stable?," Journal of Finance, American Finance Association, vol. 43(5), pages 1095-1112, December.
  13. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
  14. Eitrheim, Øyvind & Teräsvirta, Timo, 1995. "Testing the Adequacy of Smooth Transition Autoregressive Models," Working Paper Series in Economics and Finance 56, Stockholm School of Economics.
  15. Brenner, Robin J. & Harjes, Richard H. & Kroner, Kenneth F., 1996. "Another Look at Models of the Short-Term Interest Rate," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(01), pages 85-107, March.
  16. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. " On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
  17. Shea, Gary S, 1992. "Benchmarking the Expectations Hypothesis of the Interest-Rate Term Structure: An Analysis of Cointegration Vectors," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 347-66, July.
  18. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  19. Bera, Anil K. & Jarque, Carlos M., 1982. "Model specification tests : A simultaneous approach," Journal of Econometrics, Elsevier, vol. 20(1), pages 59-82, October.
  20. Hans Dewachter, 1996. "Modelling interest rate volatility: Regime switches and level links," Review of World Economics (Weltwirtschaftliches Archiv), Springer, vol. 132(2), pages 236-258, September.
  21. Tim Bollerslev & Jeffrey M. Wooldridge, 1988. "Quasi-Maximum Likelihood Estimation of Dynamic Models with Time-Varying Covariances," Working papers 505, Massachusetts Institute of Technology (MIT), Department of Economics.
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Citations

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Cited by:
  1. Olan T. Henry & Nilss Olekalns & Sandy Suardi, 2005. "Equity Return and Short-Term Interest Rate Volatility : Level Effects and Asymmetric Dynamics," Department of Economics - Working Papers Series 941, The University of Melbourne.
  2. Olan T. Henry & Nilss Olekalns & Sandy Suardi, 2006. "Testing for Rate-Dependence and Asymmetry in Inflation Uncertainty:Evidence from the G7 Economies," Department of Economics - Working Papers Series 959, The University of Melbourne.

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