It is April $2,2018,$ and you are considering purchasing an investment$-$grade corporate bond that has a $$1,000$ face value and matures on June $4,2022.$ The bond's stated coupon rate is $4\mathrm{.}20$ percent, and it pays on a semiannual basis $($that is$,$ on June $4$ and December $4).$ The bond dealer's current ask yield to maturity is $3\mathrm{.}40$ percent. $($Note: Between the last coupon date and today, there are $118"30/360"$ days. Between last coupon date and the next coupon date, there are $180"30/360"$ days.$)$

a$)$ Calculate the total amount $($invoice price$)$ you would have to pay for this bond if you purchased the issue to settle today.

b$)$ Separate this total invoice amount into $($i$)$ the bond's current "flat" $($without accrued interest$)$ price and $($ii$)$ the accrued interest. Do not round intermediate calculations. Round your answers to two decimal places. Express your answers as a percentage of the bond$$s par value.