5. (4 points) Julie bought a house with a $100,000 mortgage for 30 years being repaid with payments at the end of each month at an interest rate of 8% compounded monthly. Compute the outstanding balance at the end of 10 years immediately after the 120th payment. 6. (4 points) If Julie pays an extra $100 each month in the preceding problem, compute the outstanding balance at the end of 10 years immediately after the 120th payment.
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The interest rate on a 30-year mortgage is 12% compounded monthly. Lauren is repaying the mortgage by making monthly payments of $700. Additionally, to pay off the loan early, Lauren has made additional payments of $1,000 at the end of each year. Calculate the outstanding balance at the end of 10 years. Please use formulas using prospective or retrospective methods (whichever applies) and show your work (not Excel). Answer: $45,435.32
Ishana K.
This problem is on Calculation of monthly mortgage payment. Suppose a loan of A dollars is amortized over n years at an annual interest rate r compounded monthly. Let i =r/12, be the equivalent monthly rate of interest. Then the monthly payments will be M dollars, where M(A, n, i) = Ai / (1 - (1+i)^-12n). (a) Allison has a home mortgage of $250,000 at the fixed rate of 5.2% per year for 15 years. What are her monthly payments? How much total interest does she pay for the loan? (b) Nathan also has a mortgage of $250,000 but at the fixed rate of 5.6% per year for 30 years. What are his monthly payments? How much total interest does he pay for the loan?
Donna D.
would you help please
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