Miguel and Brendan plan to purchase a home for $187,000. They will pay 20% down and finance the remainder for 30 years at the APR of 11%, compounded monthly.

a) How large are the monthly payments? $

b) What will be their loan balance right after they have made their 288th payment? $

c) How much interest will they pay during the 24th year of the loan? $

d) If they were to increase their montly payments by $100, how long would it take to pay off the loan? Give your answer in whole months.