Question

You want to take out a $125,000 mortgage. The interest rate on the mortgage is 5%, and the loan is for 30 years. How much will your monthly payments be

Answer 1

Answer: $671.03

Explanation:

The monthly payment will be an annuity because it will be constant. The loan amount will be the present value of the loan.

Periodic interest rate of loan = 5%/12 = 5/12%

Loan period = 30 * 12 months = 360 months

Present value of annuity = Annuity *  ( 1 - ( 1 + rate) ^ -number of periods) / rate

125,000 = Annuity * ( 1 - ( 1 + 5/12%)⁻³⁶⁰) / 5/12%

125,000 = Annuity * 186.2816170

Annuity = 125,000 / 186.2816170

= $671.03