On April$1,$$$100$ comma $000\mathrm{.}00$

$364$

$-$day

treasury bills were auctioned off to yield $2\mathrm{.}08\%$

$.$

$($a$)$ What is the price of each $$$$100$ comma $000\mathrm{.}00$

$$T$-$bill on April$1?$

$($b$)$ What is the yield rate on August

$13$

if the market price is $$$$98$ comma $457\mathrm{.}03$

$?$

$($c$)$ Calculate the market value of each $$$$100$ comma $000\mathrm{.}00$

$$T$-$bill on October

$21$

if the rate of return on that date is $3\mathrm{.}278$

$\%.$

$($d$)$ What is the rate of return realized if a $$$$100$ comma $000\mathrm{.}00$

$$T$-$bill purchased on April $1$ is sold on November

$3$

at a market rate of $2\mathrm{.}869$

$\%?$

Question content area bottom

Part $1$

$($a$)$ The price is $$$enter your response here

$.$

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