$6.$ On January $1,2024,$ Vacation Destination issues $$40$ million of bonds that pay interest semiannually on June $30$ and December $31.$ Portions of the bond amortization schedule appear below:

Date Cash Paid for Interest Interest Expense Increase in Carrying Value Carrying Value

$1/1/2024$ $$37,281,935$

$6/30/2024$ $$1,400,000$ $$1,491,277$ $$91,27737,373,212$

$12/31/20241,400,0001,494,92894,92837,468,140$

a$.$ Were the bonds issued at par, a discount, or a premium?

b$.$ What is the original issue price of the bonds?

c$.$ What is the face amount of the bonds?

d$.$ What is the stated annual interest rate?

e$.$ What is the market annual interest rate?

f$.$ What is the total cash paid for interest assuming the bonds mature in $10$ years?