MULTIFRACTAL ANALYSIS OF THE DYNAMICS OF TURKISH EXCHANGE RATE

MULTIFRACTAL ANALYSIS OF THE DYNAMICS OF TURKISH EXCHANGE RATE

We perform a comparative study of applicability of the Multifractal Detrended Fluctuation Analysis (MFDFA) and the Wavelet Transform Modulus Maxima (WTMM) method in properly detecting of mono- and multifractal character of data. After summarizing the theory behind both methods, we apply both methods on USD/TRY currency. The results show that our data has multifractal nature but not at high level and multifractality is poorer if WTMM method is used. We also investigated whether other Eastern European country currencies, such as Russian Rubble and Hungarian Forint have multifractal characters by using MFDFA method. Therefore, forecasters have often encountered in trying to predict these exchange rates with models that do not incorporate any notion of inhomogeneity will have little predictive power.

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