QUESTION $10$

Autopia is planning to issue a bond with a face $($par$)$ value of $$40,000,000$ and a stated interest rate $($coupon rate$)$ of $4$ percent. Interest payments are made twice annually for a $30-$year term. ${?}^{****}$ Format all answers with commas to separate thousands, hundred thousands, millions, etc. Please format arswers as indicated below.

a$.$ What will be the amount of each semi$-$annual interest payment on the bond? $($Please round to the dollar $($e$.$g$.,500,000,$ not $500\mathrm{.}000\mathrm{.}00)$

$

b$.$ How much can the New University expect to receive at bond issuance, assuming that the interest rate at issuance is the same as the coupon rate? $($Please round to the dollar, e$.$g$.,3,500,000)$

How much will Autopia receive if interest rates have increased to $4\mathrm{.}5$ percent at the time of issuance? $($Please round to the dollar, e$.$g$.,3,500,000$