Question

You have accumulated $85,000 in student loans that average 5% interest. You graduate next month and will be paying off the loans over 10 years. Which of the following is most likely to be your monthly payment assuming you pay interest and a portion of the principal each month?

Answer 1

Use the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 85000
PMT monthly payment?
R interest rate 0.05
K compounded monthly 12
N time 10 years
Solve the formula for PMT
PMT=Pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
PMT=85,000÷((1−(1+0.05÷12)^(
−12×10))÷(0.05÷12))
=901.55 round to the nearest tenth to get 900

Hope it helps!