This extended problem covers many of the features of a mortgage. You purchase a town house for $$200,000.$ Since you are able to make a down payment of $10$ percent $($$$20,000),$ you are able to obtain a $$180,000$ mortgage loan for $15$ years at a $4$ percent annual rate of interest. Use Appendix $D$ to answer the questions. Round your answers to the nearest dollar.

a$.$ What are the annual payments that cover the interest and principal repayment? $

b$.$ How much of the first payment goes to cover the interest? $

c$.$ How much of the loan is paid off during the first year?

$

d$.$ What is the interest payment during the second year?

e$.$ What is the remaining balance after the second year? $

f$.$ Why did the interest payment change during the second year?

The annual in the amount owed each subsequent interest payment.