Question

Jamie purchased a condo in Naples, Florida, for $699,000. She put 20% down and financed the rest at

5% for 35 years. What are Jamie's total finance charges?

Answer 1

By applying the formulas of present and future values of annuity we can solve this problem. In this mortgage problem, first we have to find loan amount after the down payment. It is 699,000 - 699,000 * 0.2 = 559,200$. We have to set it as PV (Present Value) of annuity. Using the PV formula
`PV = A ([1- (1)/((1+r)^(N))])/(r)`, we first find A, which is an annual payment. Exact calculation with mortgage calculator gives us A = 33,866.56$. After finding it, plugging this number into FV (Future Value) formula
`FV = A([(1+r)^(N)-1])/(r)`, we find the value of the future value and it is 1,185,329.66$. And the total financial charge is 1,185,329.66 - 559,200 = 626,129.66$