It is April $2,2024,$ and you are considering purchasing an investment$-$grade corporate bond that has a $\backslash (\backslash$$ $1,000\backslash )$ face value and matures on June $4,2028.$ The bond's stated coupon rate is $4\mathrm{.}00$ percent, and it pays on a semiannual basis $($i$.$e$.,$ on June $4$ and December $4).$ The bond dealer's current ask yield to maturity is $3\mathrm{.}00$ percent. $($Note: Between the last coupon date and today, there are $118"\backslash (30/360\backslash )"$ days. Between last coupon date and the next coupon date, there are $180"\backslash (30/360\backslash )"$ days.$)$

a$.$ Calculate the total amount $($invoice price$)$ you would have to pay for this bond if you purchased the issue to settle today. Do not round intermediate calculations. Round your answer to two decimal places. Enter your answer as a positive value. Express your answer as a percentage of the bond's par value.

Price:

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

Accrued interest:

"Flat" price: