In two recent papers, Granger and Ding (1995a,b) considered long return series that are ยฎrst dierences of logarithmed price series or price indices. They established a set of temporal and distributional properties for such series and suggested that the returns are well characterized by the double ex
Modeling stylized facts for financial time series
โ Scribed by M.I. Krivoruchenko; E. Alessio; V. Frappietro; L.J. Streckert
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 173 KB
- Volume
- 344
- Category
- Article
- ISSN
- 0378-4371
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โฆ Synopsis
Multivariate probability density functions of returns are constructed in order to model the empirical behavior of returns in a financial time series. They describe the well-established deviations from the Gaussian random walk, such as an approximate scaling and heavy tails of the return distributions, long-ranged volatility-volatility correlations (volatility clustering) and return-volatility correlations (leverage effect). The model is tested successfully to fit joint distributions of the 100+ years of daily price returns of the Dow Jones 30 Industrial Average.
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