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# A student loan.

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I have accumulated over a 4-year period a student loan of about \$50,000. Now that I have graduated and landed a good-paying job, and wish pay off at least half of it in 5 years, what would my monthly payment be given a current rate of interest of 3.75% compounded monthly? would appreciate any help and thank you.

Jun 10, 2017

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Since we know 4 variables out of 5, will use this formula to give us the 5th unknown, which is the monthly payment:
-P*[(1-(1+R)^-N)/(R)]+FV*(1+(R))^-N+PV=0
Where P = The monthly payment
R = 3.75%. Will divide this by 12 to give us the monthly interest rate of 0.003125.
N = 5 years x 12 months = 60 months.
FV =\$25,000 the balance of the loan after 5 years.
PV = \$50,000 The Present Value of the loan.
-P*[(1-(1.003125)^-60)/(0.003125)]-25000*(1.003125)^-60+50000=0
Solve for P:
29268.2 - 54.6331 P = 0

P = 535.72 - Your monthly payment. After 5 years you will still have a loan balance of \$25,000.

Jun 10, 2017
edited by Guest  Jun 10, 2017