Consider a 30-year $200,000 51 ARM having a 2.5% margin and based on the CMT ind

Question

Consider a 30-year $200,000 51 ARM having a 2.5% margin and based on the CMT index Assume that it carries a payment cap of 7% and the monthly payments for the 6th year are $1244.97 at an annual interest rate of 6.4%. Also assume that the CMT index is 82% at the beginning of the 7th year and all interest rates are compounded monthly (a) Calculate the unpaid balance of the loan at the beginning of the 7th year (b) Calculate the monthly payment for the 7th year without using the payment cap (c) Calculate the monthly payment for the 7th year using the payment cap (d) How much interest is due for the 73rd month? (e) Determine the unpaid balance at the end of the 73rd month. (a) The unpaid balance at the beginning of the 7th year is $ . (Round the final answer to the nearest cent as needed- Round all intermediate values to six decimal places as needed.)

Explanation / Answer

Rate (0.025/12) 0.002083 Interest payable calculated for principle $200,000 @2.5 and for 30 yrs 790.24 Interest paid for 5 yrs (790.24*12) 9482.88 Balance left by the end of 5 yrs ($200,000-interest paid for 5 years) 152585.6 Interest payable in 6th yr (1244.97*12) 14939.64 a) Unpaid Balance at the beginning of 7th yr(balance left after 5 yrs - interest paid in 6th yr) 137645.96 B) Monthly payment for 7th year without using cap so interest rate is 8.2 0.006833 11986.33814 c) Monthly payment for 7th year without using cap so interest rate is 7 0.005833 11910.057 d) Interest due for 73rd month e) unpaid balance at the end of 73rd month 137645.96

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