In order to pay for school, you borrow $22,000 at 12% per year, compounded month
ID: 1184950 • Letter: I
Question
In order to pay for school, you borrow $22,000 at 12% per year, compounded monthly. You do not pay back any of it until the end of the first month following year 4, and you intend to have it paid off by the end of year 7. A. What are your monthly payments during years 5, 6 and 7. B. How much interest is in the sixtieth month's payment? How much principal? C. How much interest is in the sixty-fourth payment? How much principal? D. How much interest is in the sixty-eighth payment? How much principal? I have the correct answers. Its not an assignment, just studying for a test. Thanks.Explanation / Answer
After 4 years the value of loan = 22000*(1+.12/12)^(4*12) = 35468.97
Let 4 years from now (when loan repayment begins) be consideered as today.
Value of loan = 35468.97 which has to be repaid in 3 years in equal monthly installments. Let monthly payment be C.
35468.97 = C* [(1-1/(1+.12/12)^36)] / (.12/12)
C = 1178.07.