The financial rates of return from Latin American stock and currency markets are found to be non-normal, non-stationary, non-ergodic and long-term dependent, i.e., they have long memory. The degree of long- term dependence is measured by monofractal (global) Hurst exponents from wavelet...

In this paper, we propose an Adaptive Hyperbolic EGARCH (A-HYEGARCH) model to estimate the long memory of high frequency time series with potential structural breaks. Based on the original HYGARCH model, we use the logarithm transformation to ensure the positivity of conditional variance. The...