Arbeitspapier
Multifractality and long-range dependence of asset returns: The scaling behaviour of the Markov-switching multifractal model with lognormal volatility components
In this paper we consider daily financial data from various sources (stock market indices, foreign exchange rates and bonds) and analyze their multi-scaling properties by estimating the parameters of a Markov-switching multifractal model (MSM) with Lognormal volatility components. In order to see how well estimated models capture the temporal dependency of the empirical data, we estimate and compare (generalized) Hurst exponents for both empirical data and simulated MSM models. In general, the Lognormal MSM models generate ?apparent? long memory in good agreement with empirical scaling provided one uses sufficiently many volatility components. In comparison with a Binomial MSM specification [7], results are almost identical. This suggests that a parsimonious discrete specification is flexible enough and the gain from adopting the continuous Lognormal distribution is very limited.
- Language
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Englisch
- Bibliographic citation
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Series: Economics Working Paper ; No. 2008-09
- Classification
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Wirtschaft
- Subject
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Markov-switching multifractal
scaling
return volatility
Kapitalertrag
Volatilität
Finanzmarkt
Markovscher Prozess
Statistische Verteilung
Theorie
- Event
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Geistige Schöpfung
- (who)
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Liu, Ruipeng
Di Matteo, Tiziana
Lux, Thomas
- Event
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Veröffentlichung
- (who)
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Kiel University, Department of Economics
- (where)
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Kiel
- (when)
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2008
- Handle
- Last update
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10.03.2025, 11:45 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- Liu, Ruipeng
- Di Matteo, Tiziana
- Lux, Thomas
- Kiel University, Department of Economics
Time of origin
- 2008