You can purchase a Treasury bill that is $107$ days from maturity for $$14,870.$ The Treasury bill has a face value of $$15,000.$

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

a$.$ Calculate the Treasury bill's quoted yield.

Quoted Yield:

Note: Use $360$ days in a year. Do not round intermediate calculations.

b$.$ Calculate the Treasury bill's bond equivalent yield.

Bond Equivalent Yield:

Note: Use $365$ days in a year. Do not round intermediate calculations.

c$.$ Calculate the Treasury bill's EAR.

Effective Annual Return:

$\%$

Note: Use $365$ days in a year. Do not round intermediate calculations.