Application of Multifractal Measures to TehranPrice Index

We report an empirical study of Tehran Price Index (TEPIX). Toanalyze our data we use various methods like as, rescaled range analysis(R/S), modified rescaled range analysis (Lo’s method), DetrendedFluctuation Analysis (DFA) and generalized Hurst exponents analysis.Based on numerical results, the scaling range of TEPIX returnsis specified, long memory effect or long range correlation property inthis market is investigated, characteristic exponent for probability distributionfunction of TEPIX returns is derived and finally the stage ofdevelopment in Tehran Stock Exchange is determined

Keywords:

R/S analysis , Hurst exponent , Long memory , DetrendedFluctuation Analysis , Multifractals , L´evy Distributions