A Treasury bill that is $225$ days from maturity is selling for $$98,850.$ The Treasury bill has a face value of $$100,000.$

Note: Use $360$ days for discount yield and $365$ days in a year for bond equivalent yield and effective annual return. Do not round intermediate calculations.

Round your percentage answers to $3$ decimal places. $($e$.$g$.,32\mathrm{.}161)$

a$.$ Calculate the discount yield, bond equivalent yield, and EAR on the Treasury bill.

Discount Yield:

$\%$

Bond Equivalent Yield $($BEY$)$:

$\%$

Effective Annual Return $($EAR$)$:

$\%$

b$.$ Calculate the discount yield, bond equivalent yield, and EAR on the Treasury bill if it matures in $300$ days.

Discount Yield:

$\%$

Bond Equivalent Yield $($BEY$)$:

$\%$

Effective Annual Return $($EAR$)$:

$\%$