Shao, Qi-ManYu, HaoYu, Jun2006-11-302006-11-301999Department of Economics Working Paper Series 198http://hdl.handle.net/2292/192In this paper we propose a test statistic to discriminate bctween models with finite variance and models with infinite variance. The test statistic is the ratio of the sample standard deviation and the sample interquartile range. Both asymptotic and finite sample propert,ies of the test statistic are discussed. We show that the test is consistent against infinite-variance distributiorls and has small size distortions. The statistic is applied to compare the competing models for S&P 500 index returns. Our test can not reject most distributions with finite variance for both a pre-crash sample and a post-crash sample, and hence supports the literature. However, for a sample including crash days, our test suggests that the finite-variance distributions must be rejected. The finding is different from what have been discovered in the recent literature.application/pdftextenItems in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htmStock returnsEconomicsA Test Statistic and Its Application in Modelling Daily Stock ReturnsWorking PaperCopyright: the authorhttp://purl.org/eprint/accessRights/OpenAccess