2003/05/13 by Kyungsik Kim, Kim, Kyungsik, Seong‐Min Yoon +2
Economics, Econometrics and Finance · Environmental Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Ecosystem dynamics and resilience #Financial Risk and Volatility Modeling #cond-mat.stat-mech #q-fin.ST
paper · pdf · doi:10.48550/arxiv.cond-mat/0305270
9 pages, 5 figures, 2 Tables, Latex
arxiv created 2003/05/13 · arxiv updated 2009/11/30
The multifractal behavior for tick data of prices is investigated in Korean financial market. Using the rescaled range analysis(R/S analysis), we show the multifractal nature of returns for the won-dollar exchange rate and the KOSPI. We also estimate the Hurst exponent and the generalized qth-order Hurst exponent in the unversal multifractal framework. Particularly, our financial market is a persistent process with long-run memory effects, and the statistical value of the Hurst exponents occurs the crossovers at charateristic time scales. It is found that the probability distribution of returns is well consistent with a Lorentz distribution, significantly different from fat-tailed properties.