Question

In: Finance

While Andy was a student at Albury University, he borrowed $25,000 in student loan at an...

While Andy was a student at Albury University, he borrowed $25,000 in student loan at an annual interest rate of 7%. If he repays $2,000 per year, calculate the period required (to the nearest year) to pay off his debt.

Solutions

Expert Solution

Answer: Andy have to pay for 31 years to pay off his debt.

I am attaching a excel file with proper calculations. Please find the file.

(All amount in Dollars)

Years Principal Interest Due at the start Payment Due at the end
0 25000 - 25000 -
1 - 1750 26750 2000 24750
2 - 1732.5 26482.5 2000 24482.5
3 - 1713.775 26196.275 2000 24196.275
4 - 1693.7393 25890.01425 2000 23890.01425
5 - 1672.301 25562.31525 2000 23562.31525
6 - 1649.3621 25211.67731 2000 23211.67731
7 - 1624.8174 24836.49473 2000 22836.49473
8 - 1598.5546 24435.04936 2000 22435.04936
9 - 1570.4535 24005.50281 2000 22005.50281
10 - 1540.3852 23545.88801 2000 21545.88801
11 - 1508.2122 23054.10017 2000 21054.10017
12 - 1473.787 22527.88718 2000 20527.88718
13 - 1436.9521 21964.83929 2000 19964.83929
14 - 1397.5387 21362.37803 2000 19362.37803
15 - 1355.3665 20717.7445 2000 18717.7445
16 - 1310.2421 20027.98661 2000 18027.98661
17 - 1261.9591 19289.94568 2000 17289.94568
18 - 1210.2962 18500.24187 2000 16500.24187
19 - 1155.0169 17655.2588 2000 15655.2588
20 - 1095.8681 16751.12692 2000 14751.12692
21 - 1032.5789 15783.7058 2000 13783.7058
22 - 964.85941 14748.56521 2000 12748.56521
23 - 892.39956 13640.96478 2000 11640.96478
24 - 814.86753 12455.83231 2000 10455.83231
25 - 731.90826 11187.74057 2000 9187.740571
26 - 643.14184 9830.882411 2000 7830.882411
27 - 548.16177 8379.04418 2000 6379.04418
28 - 446.53309 6825.577272 2000 4825.577272
29 - 337.79041 5163.367681 2000 3163.367681
30 - 221.43574 3384.803419 2000 1384.803419
31 - 96.936239 1481.739658 2000 -518.2603416

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