The Search for Chaos and Nonlinearities in Swedish Stock Index Returns
AbstractNumerous empirical studies have shown evidence of nonlinearities in financial time series, which can be of both a deterministic and a stochastic nature. Chaos is an example of the former, and heteroscedasticity in the conditional variance an example of the latter. We apply a test, the BDS test, to Swedish Stock Index returns and detect large deviations from the IID-hypothesis. There is no evidence of chaos, and most of the nonlinearities are due to conditionally heteroscedastic error terms. We look at monthly, daily, and 15-minute return series, and find no sensitivity in the results to choice of sampling frequency. Different GARCH models often seem to explain the nonlinearities detected by the BDS test, which is particularly the case for GARCH models with t-distributed errors fitted to monthly and daily returns.
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Bibliographic InfoPaper provided by Lund University, Department of Economics in its series Working Papers with number 1998:6.
Length: 25 pages
Date of creation: 01 Dec 1998
Date of revision:
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Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
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BDS test; neural networks; heteroscedasticity; deterministic systems;
Find related papers by JEL classification:
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
This paper has been announced in the following NEP Reports:
- NEP-ALL-2001-04-11 (All new papers)
- NEP-ETS-2001-04-11 (Econometric Time Series)
- NEP-FIN-2001-04-11 (Finance)
- NEP-FMK-2001-04-11 (Financial Markets)
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