An investor purchased a $364-$day, $$5000\mathrm{.}00$ T$-$bill on its issue date for $$4832\mathrm{.}67.$ After holding it for $108$ days, she sold the T$-$bill for a yield of $1\mathrm{.}68\%.$

$($a$)$ What was the original yield of the T$-$bill?

$($b$)$ For what price was the T$-$bill sold?

$($c$)$ What rate of return $($per annum$)$ did the investor realize while holding this T$-$bill?

$($a$)$ The original yield of the T$-$bill was $\%.$

$($Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places as needed.$)$