Question

The seller was told by the bank that she has a prepayment penalty due at the time of closing. the penalty is 6 months' interest on the current loan balance. based on 6% interest, her monthly payment is $569.57 principal and interest and her loan balance was $95,000 the month before closing. once she makes her next monthly payment, how much will she owe in prepayment penalty at the time of closing?

Answer 1

Using the formula for compound interest:

The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ

Where:

A = the future value = $95000
P = the principal investment amount = ?
r  = the annual interest rate = 0.06
n = the number of times that interest is compounded per year = 2
x = the number of years the money is invested = 0.5

95,000 = P (1 + 0.06/2)¹

95,000 = P (1.06/2)

95,000 = P (0.53)

P = 95,000 ÷ 0.53

P = 95,000 ÷ 0.53

P = 179,245.30

Total compounded interest = 179,245.30 - 95,000

Total compounded interest = 84,245