Discrete Dynamics in Nature and Society
Volume 6 (2001), Issue 2, Pages 101-120
doi:10.1155/S1026022601000115
The angular distribution of asset returns in delay space
Roger Koppl1
and Carlo Nardone2
1Department of Economics and Finance, Fairleigh Dickinson University, Madison 07940, NJ, USA
2Sun Microsystems Italia SpA, via G. Romagnosi 4, Roma I-00196, Italy
Abstract
Plotting asset returns against themselves with a one-period lag reveals the “compass rose” pattern of Crack and Ledoit (1996). They describe the pattern, caused by discreteness, as “subjective”. We develop a new and original set of “objective” statistical procedures to quantify the compass rose and detect changes in it. empirical and bootstrapped “theta histograms” permits hypothesis testing. Simulations suggest that intertemporal statistical dependence skews the compass rose in ways that mimic ARCH phenomena. Using our techniques on “credit ruble” data, we test the hypothesis that “Big Players” influence the degree of this “X-skewing” and, therefore, apparent ARCH behavior.