You have a loan outstanding. It requires making ninenine annual payments of $ 1
ID: 2810170 • Letter: Y
Question
You have a loan outstanding. It requires making
ninenine
annual payments of
$ 1 comma 000$1,000
each at the end of the next
ninenine
years. Your bank has offered to restructure the loan so that instead of making the
ninenine
payments as originally agreed, you will make only one final payment in
ninenine
years. If the interest rate on the loan is
5 %5%,
what final payment will the bank require you to make so that it is indifferent to the two forms of payment?
The final payment the bank will require you to make is
$nothing.
(Round to the nearest dollar.)
Explanation / Answer
Future value of annuity = Annuity * [ ( 1 + r)n - 1] / r
Future value of annuity = 1,000 * [( 1 + 0.05)9 - 1] / 0.05
Future value of annuity = 1,000 * 11.026564
Future value of annuity = $11,026.56
Final payment will be $11,026.56
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