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2007 | nr 3 Financial markets : principles of modeling forecasting and decision-making | 27--43
Tytuł artykułu

Forecasting Stochastic Unit Root Models

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of the research was to find out the mechanism underlying the stock prices behaviour and extrapolate it out of the sample. The stochastic unit root model was assumed. The empirical results of the tests confirmed that hypothesis in significant majority of analysed time series. Then the models were estimated and used for prediction. Two methods of forecasting were used. These were: MC-based forecasting and sequential extrapolation of fitted values. The comparison of the results has shown that the main characteristics of the models are statistically significant. Comparing the forecasting results three main findings can be stated:
• sequential extrapolation seems to be a satisfactory method of forecasting STUR processes;
• forecasting weekly data we can observe the fact: the longer forecast horizon the smaller prediction error;
• in the sample - better results were obtained for MC method.
As concerns the effectiveness of central tendency measures like median or mean, not homogeneous results are obtained, so it cannot be decided which one is to be preferred. Despite of the deterministic or stochastic method of forecasting, stochastic unit root model seems to be a quite reasonable representation of the conditional mean of the stock prices and its behaviour in forecasting can be considered as satisfactory. (fragment of text)
Twórcy
  • Nicolaus Copernicus University in Toruń, Poland
Bibliografia
  • Brown B. Y., Mariano R. S. (1989), "Prediction in Dynamic Nonlinear Models: Large Sample Behaviour", Econometric Theory, 5.
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  • Cuthbertson K., Hall S. G., Taylor M. P. (1992), Applied Econometric Techniques, New York, London: Philip Allan.
  • Franses P. H., van Dijk D. (2000), Nonlinear Time Series Models in Empirical Finance, Combridge: Cambridge University Press.
  • Górka J., Osińska M. (2006), "STUR Tests and Their Sensitivity for Non-Linear Transformations and GARCH. A Monte Carlo Analysis", Paper accepted for presentation at Mathematical Methods in Economics 2006, Faculty of Economics, University of West Bohemia in Pilsen, Czech Republic, September.
  • Granger C. W. J., Swanson N. R. (1997), "An Introduction to Stochastic Unit-Root Process", Journal of Econometrics, 80.
  • Kim C-J., Nelson C. R. (1999), State-Space Models With Regime Switching: Classical and Gibbs-Sampling Approaches with Applications, Cambridge, MA, London: The MIT Press.
  • Kwiatkowski J. (2005), "Bayesian Analysis of Stochastic Unit Root Models", Paper presented at International Conference FindEcon, Łódź University, Łódź.
  • Kwiatkowski J., Osińska M. (2005), "Forecasting STUR Processes. A Comparison to Threshold and GARCH Models", Acta Universitatis Lodzienzis.
  • Leybourne S. J., McCabe B. P. M., Mills T. C. (1996), "Randomized Unit Root Processes for Modeling and Forecasting Financial Time Series: Theory and Applications", Journal of Forecasting 15.
  • Leybourne S. J., McCabe B. P. M., Tremayne A. R. (1996), "Can Economic Time Series Be Differenced to Stationarity?", Journal of Business and Economic Statistics, 14.
  • Maddala G. S., Kim I-M. (2002), Unit Roots, Cointegration and Structural Change. Cambridge: Cambridge University Press.
  • Nicholls D. F., Quinn B. G. (1982), Random Coefficient Autoregressive Models: An Introduction, New York: Springer-Verlag.
  • Osińska M. (2003), Stochastic Unit Root Processes Properties and Application, in: Weife W., Welfe A. (eds.), Macromodels'2003, Łódź: Łódź University Press.
  • Sollis R., Leybourne S. J., Newbold P. (2000), "Stochastic Unit Roots Modeling of Stock Price Indices", Applied Financial Economics, 10.
  • Tong H. (1990), Non-Linear Time Series: A Dynamical System Approach, Oxford: Oxford University Press.
  • Tsay R. S. (2002), Analysis of Financial time Series, New York: Wiley.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
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