Daily futures price changes and non-linear dynamics

Seung Ryong Yang, B. Wade Brorsen

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


Alternative models of the distribution of daily futures returns are tested. Daily futures returns are not normal with most having fatter tails than a normal distribution. Most are also skewed. In addition returns are not independent and exhibit non-linear dynamics. Among the diffusion-jump, extended GARCH (generalized autoregressive conditional heteroskedastic) and deterministic chaos processes, the GARCH(1, 1) process with residuals following a Student distribution comes closest to fitting the data. This model reduces leptokurtosis and serial dependence considerably. But, Kolmogorov-Smirnov tests of fit reject the GARCH(1, 1)-t process for all cases. The standardized residuals are still leptokurtic and skewed, and the GARCH captures the non-linear dynamics in about half of the cases. Since non-linear dependence remains in some cases, deterministic chaos remains a possibility.

Original languageEnglish
Pages (from-to)111-132
Number of pages22
JournalStructural Change and Economic Dynamics
Issue number1
Publication statusPublished - 1994 Jun
Externally publishedYes

ASJC Scopus subject areas

  • Economics and Econometrics


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