You own a Municipal bond that you purchased at par and pays a $$55$ Coupon, annually. The first coupon is distributed on $8/1/$XX$,$ and you sell it on $3/22/$XY$,$ at that time the YTM $=5\%,$ and has $15$ years remaining until maturity:

i$.$ What is the dirty price of the security for this transaction?

ii$.$ What was the return on this transaction?

iii. If you were in the $40\%$ tax bracket, how much in taxes would you have to pay on this investment?

iv$.$ If the Municipal Bond is compared to a Corporate Bond having a coupon of $8\mathrm{.}00\%,$ what tax bracket would you need to be for it to make sense to invest in the Municipal Bond?