Consider historical data showing that the average annual rate of return on the TSX$/$S&P Composite Index portfolio over the past $60$ years has averaged roughly $8\%$ more than the Treasury bill return and that the TSX$/$S&P Composite Index standard deviation has been about $22\%$ per year. Assume these values are representative of investors' expectations for future performance and that the current T$-$bill rate is $3\%.$

Calculate the utility levels of each portfolio for an investor with A $=2.$ Assume the utility function is U $=$ E$($r$)0\mathrm{.}5\backslash$times A$\backslash$sigma $2.($Do not round intermediate calculations. Round your answers to $4$ decimal places.$)$

WBills WIndex U$($A $=2)$

$1\mathrm{.}00\mathrm{.}0$

$0\mathrm{.}80\mathrm{.}2$

$0\mathrm{.}20\mathrm{.}8$

$0\mathrm{.}60\mathrm{.}4$

$0\mathrm{.}40\mathrm{.}6$

$0\mathrm{.}01\mathrm{.}0$