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Testing for Nonlinearities in Economic and Financial Time Series

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Author Info
Maurice Peat (Discipline of Finance, University of Sydney)
Max Stevenson (Discipline of Finance, University of Sydney)
Abstract

Cyclical asymmetry has been recognised as a nonlinear phenomenon in numerous recent studies examining various economic and financial time series. If the nonlinear phenomena can be modelled by a nonlinear stochastic structure like the bilinear (BL), exponential autoregressive (EAR), smooth transition autoregressive (STAR), or self-exciting threshold autoregressive (SETAR) types, then we need tests to enable us to identify these various nonlinear models. In this paper we suggest modifications to the Tsay (1991) general test for identifying nonlinearities of the BL, EAR, and SETAR types as they occur in time series. Our testing procedure is simulated to determine its empirical properties.

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Paper provided by School of Finance and Economics, University of Technology, Sydney in its series Working Paper Series with number 48.

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Length: 27 pages
Date of creation: 01 Sep 1995
Date of revision:
Handle: RePEc:uts:wpaper:48

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  1. Schwert, G William, 1990. "Stock Volatility and the Crash of '87," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 3(1), pages 77-102. [Downloadable!] (restricted)
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  2. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September. [Downloadable!] (restricted)
  3. repec:att:wimass:199520 is not listed on IDEAS
  4. Timo TerŠsvirta & Heather M. Anderson, 1991. "Modelling Nonlinearities in Business Cycles Using Smooth Transition Autoregressive Models," University of California at San Diego, Economics Working Paper Series 91-24, Department of Economics, UC San Diego.
  5. Cao, C Q & Tsay, R S, 1992. "Nonlinear Time-Series Analysis of Stock Volatilities," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages S165-85, Suppl. De. [Downloadable!] (restricted)
  6. Brock, William A. & Sayers, Chera L., 1988. "Is the business cycle characterized by deterministic chaos?," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 71-90, July. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  8. Poterba, James M & Summers, Lawrence H, 1986. "The Persistence of Volatility and Stock Market Fluctuations," American Economic Review, American Economic Association, vol. 76(5), pages 1142-51, December. [Downloadable!] (restricted)
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  9. Baillie, Richard T & Bollerslev, Tim, 1989. " Common Stochastic Trends in a System of Exchange Rates," Journal of Finance, American Finance Association, vol. 44(1), pages 167-81, March. [Downloadable!] (restricted)
  10. Ashley, Richard A & Patterson, Douglas M, 1989. "Linear versus Nonlinear Macroeconomies: A Statistical Test," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(3), pages 685-704, August. [Downloadable!] (restricted)
  11. Philip Rothman, . "Forecasting Asymmetric Unemployment Rates," Working Papers 9618, East Carolina University, Department of Economics.
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  12. Diebold, Francis X & Nerlove, Marc, 1989. "The Dynamics of Exchange Rate Volatility: A Multivariate Latent Factor Arch Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(1), pages 1-21, Jan.-Mar.. [Downloadable!] (restricted)
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  13. Rita Luukkonen & Timo Terasvirta, 1991. "Testing Linearity of Economic Time Series against Cyclical Asymmetry," Annales d'Economie et de Statistique, ADRES, issue 20-21, pages 07, Octobre-m. [Downloadable!]
  14. Rothman, Philip, 1988. "Further Evidence On The Asymmetric Behavior Of Unemployment Rates Over The Business Cycle," Working Papers 88-23, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
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  15. Charles Engel & James D. Hamilton, 1989. "Long Swings in the Exchange Rate: Are they in the Data and Do Markets Know It?," NBER Working Papers 3165, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  1. D. Jones & Maurice Peat & Max Stevenson, 1996. "Does the Process of Spatial Aggregation of U.K. Unemplyment Rate Series Serve to Induce or Remove Evidence of Asymmetry in the Business Cycle," Working Paper Series 67, School of Finance and Economics, University of Technology, Sydney. [Downloadable!]
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