$1.$ HCP issues $$1000$ par, $6-$year zero$-$coupon bonds with a yield of $9\%.$

a$.$ For how much will the bonds sell?

b$.$ What is the accrued interest on the bonds for years $1-6?$

c$.$ Assuming that you are in the $28\%$ tax bracket and hold the bonds until maturity, how much tax will you pay for each of the next $6$ years?

d$.$ How would your answer to part c change if you purchased the bonds in your $401-$k$?$