$1.$ In April you get a $$200,000$ mortgage loan for $15$ years at an interest rate of $53/8\%.$ The first monthly payment is due May $1$st$.$

a$.$ What is your balance after payment $1?$

b$.$ What is the principal amount of payment $18?$

c$.$ What is the interest amount of payment $120?$

d$.$ What is the amount of your final payment?

e$.$ What amount of interest can you deduct from your income tax at the end of the calendar year?