Suppose that you are borrowing $250,000 in the form of a 10 year loan with an annual interest rate of 3% with monthly payments and monthly compounding. What will the balance be on this loan at the end of the 8th year.
a. $56,185
b. $58,889
c. $85,731
d. $89,160
e. $94,304
First, let's find the monthly payment
Monthly interest rate, r = 3%/12
r = 0.0025
Number of monthly payments, n = 10 * 12
n = 120
At the end of 8 years, number of payments remaining = (10 - 8) * 12
n = 24
The balance on the loan at the end of 8th year is option a. $56,185
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