Use the following information for Questions $4$ through $7$: Valley Cottage is issuing a $30-$year bond with a face $($par$)$ value of $$62,000,000$ and a stated annual interest rate $($coupon rate$)$ of $4\mathrm{.}5$ percent. The town will make interest payments twice each year.

Question $4$: Calculate the semi$-$annual interest payment.

Provide your answer as a whole number with commas if applicable, and no $$.$ i$.$e$.$ $$15,003,000\mathrm{.}33$ should be written as $15,003,000.$

QUESTION $5$

How many periods should be entered into the discounting formula?

QUESTION $6$

Calculate how much Valley Cottage will receive if market interest rates are the same as the coupon rate at the time of the offering.

Provide your answer as a whole number with commas if applicable, and no $$.$ i$.$e$.$ $$10,001,000\mathrm{.}11$ should be written as $10,000,001.$

QUESTION $7$

Calculate how much Valley Cottage will receive from the bond offering if the market interest rates decline to $4$ percent at the time of the offering.

Provide your answer as a whole number with commas if applicable, and no $$.$ i$.$e$.$ $$10,001,000\mathrm{.}11$ should be written as $10,000,001.$