$1.)$ You have two asset return vectors and a sample of $T=1000$ time series observations. You

estimate power law functions for the absolute amount of returns and get the estimates $=$

$3\mathrm{.}28$ and $x_{\text{M}\text{I}\text{N}}=2\mathrm{.}96$ for asset $1$ and $=3\mathrm{.}15$ and $x_{\text{M}\text{I}\text{N}}=4\mathrm{.}01$ for asset $2.$ Your

calculations are that for $295$ return observations of the first asset $x{x}_{\text{M}\text{I}\text{N}}$ is satisfied,

whereas for $123$ return observations of the second asset $x{x}_{\text{M}\text{I}\text{N}}$ is satisfied. Moreover, you

find that for $87$ return observations both asset returns are at the same time in the power law

regime. Compute the co$-$fractality metric $$ in its weak form. Is weak co$-$fractality statistically

significant? What are the implications? $(3$ points$)$