Question

Violet will make a total of 58 semiannual loan payments of $1220 dollars each. If her bank charges an annual interest rate of 3.4% compounded semiannually, how much will the loan balance be 3 years from the end the loan?​

Answer 1

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Answer:

  $6903.47

Step-by-step explanation:

The principal due when there are 6 payments left can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where principal P is earning annual interest r compounded n times per year for t years. A is the payment in each of the n time periods.

Using the given information, you have ...

  $1220 = P(0.034/2)/(1 -(1 +0.034/2)^(-2(3))) = 0.1767226P

Then the principal P due at the time of interest is ...

  P = $1220/0.1757226 ≈ $6903.47

The balance 3 years from the end of the loan is $6903.47.