Question

The present value of a debt is $20,000. To pay off the debt that accrues 8%...

The present value of a debt is $20,000. To pay off the debt that accrues 8% annual interest on the unpaid balance. You will make three payments to pay off the loan- at year 2 your payment will be $5000; at year 3 your payment will be $7000. What will be the final payment amount in year 5?

$13,562
$14,923
$10,640
$15,981

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Answer #1

Calculating the Final Payment using the Amotization table:-

Year Beg bal. (a) Payment Interest amount [(a)*8%] End Bal.
1 20,000.00                            -                       1,600.00               21,600.00
2                21,600.00               5,000.00                     1,728.00               18,328.00
3                18,328.00               7,000.00                     1,466.24               12,794.24
4                12,794.24                            -                       1,023.54               13,817.78
5                13,817.78                            -                       1,105.42               14,923.20

Note- End Balance = Beginning Balance + Interest Amount - Payment

So, the Final Payment at the end of yaer 5 is $14,923

Option 2

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