Suppose a bank enters a repurchase agreement in which it agrees to buy Treasury securities from a correspondent bank at a price of $$9,997,500,$ with the promise to buy them back at a price of $$10,000,000.$

Note: For all requirements, use $360$ days in a year. Do not round intermediate calculations.

Round your percentage answers to $4$ decimal places. $($e$.$g$.,32\mathrm{.}1616)$

a$.$ Calculate the yield on the repo if it has a $3-$day maturity.

Yield:

$\%$

b$.$ Calculate the yield on the repo if it has a $10-$day maturity.

Yield:

$\%$