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Volatility graining for "multiplicative Long Memory Affine Microscopic ARCH"

The lagged correlation between fine and coarse grained volatility The axises gives the logarithm (base 2) of the return time horizons dt used to compute the volatility.
Asymmetry for the lagged correlation between fine and coarse grained volatility The axises gives the logarithm (base 2) of the return time horizons dt used to compute the volatility.