Possible returns and their probabilities for an asset is given in the table below. The expected return is $13\mathrm{.}8\%.$ Calculate the standard deviation of the asset's return.

$\backslash$table$[[$Probability$,$Return$],[0\mathrm{.}10,0\mathrm{.}49],[0\mathrm{.}40,0\mathrm{.}16],[0\mathrm{.}50,0\mathrm{.}05]]$

$12\mathrm{.}83\%$

$13\mathrm{.}47\%$

$12\mathrm{.}32\%$

$13\mathrm{.}73\%$

$10\mathrm{.}01\%$