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Volatilities, traded volumes, and the hypothesis of price increments in derivative securities
journal contribution
posted on 2023-06-08, 18:26 authored by Gyuchang Lim, Soo Yong Kim, Enrico Scalas, Kyungsik KimA detrended fluctuation analysis (DFA) is applied to the statistics of Korean treasury bond (KTB) futures from which the logarithmic increments, volatilities, and traded volumes are estimated over a specific time lag. In this study, the logarithmic increment of futures prices has no long-memory property, while the volatility and the traded volume exhibit the existence of the long-memory property. To analyze and calculate whether the volatility clustering is due to a inherent higher-order correlation not detected by with the direct application of the DFA to logarithmic increments of KTB futures, it is of importance to shuffle the original tick data of future prices and to generate a geometric Brownian random walk with the same mean and standard deviation. It was found from a comparison of the three tick data that the higher-order correlation inherent in logarithmic increments leads to volatility clustering. Particularly, the result of the DFA on volatilities and traded volumes can be supported by the hypothesis of price changes.
History
Publication status
- Published
Journal
Physica A: Statistical Mechanics and its ApplicationsISSN
0378-4371Publisher
ElsevierExternal DOI
Issue
2Volume
382Page range
577-585Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-09-30Usage metrics
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