Based on $19262015$ data, suppose that expectations for the U$.$S$.$ equity market and the T$-$bill rate are as follows, respectively: $11\mathrm{.}77$ percent and $3\mathrm{.}47$ percent. Standard deviation of the U$.$S$.$ equity market is $20\mathrm{.}59$ percent. Based on your personnel risk aversion measure, calculate your optimal allocation of risky and risk$-$free assets. In other words, how much you would invest into T$-$bill and how much into the U$.$S$.$ equity market?