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Contemporaneous aggregation and long-memory property of returns and volatility in the Korean stock market

Sang Hoon Kang, Chongcheul Cheong and Seong-Min Yoon ()

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 21, 4844-4854

Abstract: The principal objective of this study is to determine whether the long-memory property is real or a spurious result caused by contemporaneous aggregation. In order to assess the presence of long memory in returns and volatility, two different long-memory detection techniques (modified R/S analysis and the GPH test) were applied to the KOSPI 50 index and its 50 constituent individual stock prices. According to the empirical evidence gleaned from the two long-memory tests, we conclude that there exists significant evidence for the long-memory property in volatility in both the market index and in a majority of individual stocks. These findings indicate that the observed evidence of the long-memory feature in volatility of index series is not spurious, and that we can reject the hypothesis that spurious long-memory evidence in the volatility of index series is the consequence of contemporaneous aggregation. However, this conclusion should be considered cautiously, given that a considerable number of the individual stock volatilities in square returns strongly show a short-memory property, as the level of significance in statistical decisions is lowered to the 1% level.

Keywords: Contemporaneous aggregation; Spurious long memory; Modified R/S analysis; GPH test; KOSPI 50 (search for similar items in EconPapers)
Date: 2010
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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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