Arbeitspapier
The Markov-Switching Multifractal Model of asset returns: GMM estimation and linear forecasting of volatility
Multifractal processes have recently been proposed as a new formalism for modelling the time series of returns in insurance. The major attraction of these processes is their ability to generate various degrees of long memory in different powers of returns - a feature that has been found in virtually all financial data. Initial difficulties stemming from non-stationarity and the combinatorial nature of the original model have been overcome by the introduction of an iterative Markov-switching multifractal model in Calvet and Fisher (2001) which allows for estimation of its parameters via maximum likelihood and Bayesian forecasting of volatility. However, applicability of MLE is restricted to cases with a discrete distribution of volatility components. From a practical point of view, ML also becomes computationally unfeasible for large numbers of components even if they are drawn from a discrete distribution. Here we propose an alternative GMM estimator together with linear forecasts which in principle is applicable for any continuous distribution with any number of volatility components. Monte Carlo studies show that GMM performs reasonably well for the popular Binomial and Lognormal models and that the loss incurred with linear compared to optimal forecasts is small. Extending the number of volatility components beyond what is feasible with MLE leads to gains in forecasting accuracy for some time series.
- Sprache
-
Englisch
- Erschienen in
-
Series: Economics Working Paper ; No. 2006-17
- Klassifikation
-
Wirtschaft
Asset Pricing; Trading Volume; Bond Interest Rates
Single Equation Models; Single Variables: General
- Thema
-
Multifractal
Forecasting
Volatility
GMM estimation
Markov-switching
Kapitalertrag
Börsenkurs
Volatilität
Prognoseverfahren
Physik
Markovscher Prozess
Zeitreihenanalyse
Theorie
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Lux, Thomas
- Ereignis
-
Veröffentlichung
- (wer)
-
Kiel University, Department of Economics
- (wo)
-
Kiel
- (wann)
-
2006
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:42 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Lux, Thomas
- Kiel University, Department of Economics
Entstanden
- 2006
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