A $$50,000,172-$day Government of Canada Treasury bill was purchased on its date of issue to yield $2\mathrm{.}5\%.($Do not round

intermediate calculations and round your final answers to $2$ decimal places.$)$

a$.$ What price did the investor pay?

Purchase price $

b$.$ Calculate the market value of the T$-$bill $89$ days later if the rate of return then required by the market has:

c$.$ Calculate the rate of return actually realized by the investor if the T$-$bill is sold at each of the three prices calculated in Part $($b$).$

$($i$)r=$

$($ii$)r=$

$\%$

$($iii$)r=$