RT Journal Article
T1 Scaling, stability and distribution of the high-frequency returns of the IBEX35 index
A1 Suarez García, Pablo
A1 Gómez-Ullate Otaiza, David
AB In this paper we perform a statistical analysis of the high-frequency returns of the IBEX35 Madrid stock exchange index. We find that its probability distribution seems to be stable over different time scales, a stylized fact observed in many different financial time series. However, an in-depth analysis of the data using maximum likelihood estimation and different goodness-of-fit tests rejects the Levy-stable law as a plausible underlying probabilistic model. The analysis shows that the Normal Inverse Gaussian distribution provides an overall fit for the data better than any of the other subclasses of the family of Generalized Hyperbolic distributions and certainly much better than the Levy-stable laws. Furthermore, the right (resp. left) tail of the distribution seems to follow a power-law with exponent alpha approximate to 4.60 (resp. alpha approximate to 4.28). Finally, we present evidence that the observed stability is due to temporal correlations or non-stationarities of the data.
PB Elsevier
SN 0378-4371
YR 2013
FD 2013-03-15
LK https://hdl.handle.net/20.500.14352/34712
UL https://hdl.handle.net/20.500.14352/34712
LA eng
NO © 2012 Elsevier B.V. The research of DGU has been supported in part by Direccion General de Investigacion, Ministerio de Ciencia e Innovacion of Spain, under grants MTM2009-06973 and MTM2012-31714
NO Direccion General de Investigacion, Ministerio de Ciencia e Innovacion of Spain
DS Docta Complutense
RD 6 abr 2025