Question

You borrowed ​$100,000 exactly 5 years ago. The loan is structured as an amortized loan. The...

You borrowed ​$100,000 exactly 5 years ago. The loan is structured as an amortized loan. The interest rate is 7% and you make quarterly​ (end-of-quarter) payments of ​$2124.88. The loan is amortized over 25 years. How much principal have you paid over the first 5 ​years? Use Excel to calculate. Please show all Excel formulas.

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Answer #1

Loan Amortization:

Quarter Opening Bal Instalment Int Principal repay Closing Bal
1 $ 1,00,000.00 $ 2,124.88 $ 1,750.00 $    374.88 $ 99,625.12
2 $    99,625.12 $ 2,124.88 $ 1,743.44 $    381.44 $ 99,243.68
3 $    99,243.68 $ 2,124.88 $ 1,736.76 $    388.12 $ 98,855.56
4 $    98,855.56 $ 2,124.88 $ 1,729.97 $    394.91 $ 98,460.66
5 $    98,460.66 $ 2,124.88 $ 1,723.06 $    401.82 $ 98,058.84
6 $    98,058.84 $ 2,124.88 $ 1,716.03 $    408.85 $ 97,649.99
7 $    97,649.99 $ 2,124.88 $ 1,708.87 $    416.01 $ 97,233.98
8 $    97,233.98 $ 2,124.88 $ 1,701.59 $    423.29 $ 96,810.70
9 $    96,810.70 $ 2,124.88 $ 1,694.19 $    430.69 $ 96,380.00
10 $    96,380.00 $ 2,124.88 $ 1,686.65 $    438.23 $ 95,941.77
11 $    95,941.77 $ 2,124.88 $ 1,678.98 $    445.90 $ 95,495.88
12 $    95,495.88 $ 2,124.88 $ 1,671.18 $    453.70 $ 95,042.17
13 $    95,042.17 $ 2,124.88 $ 1,663.24 $    461.64 $ 94,580.53
14 $    94,580.53 $ 2,124.88 $ 1,655.16 $    469.72 $ 94,110.81
15 $    94,110.81 $ 2,124.88 $ 1,646.94 $    477.94 $ 93,632.87
16 $    93,632.87 $ 2,124.88 $ 1,638.58 $    486.30 $ 93,146.56
17 $    93,146.56 $ 2,124.88 $ 1,630.06 $    494.82 $ 92,651.75
18 $    92,651.75 $ 2,124.88 $ 1,621.41 $    503.47 $ 92,148.28
19 $    92,148.28 $ 2,124.88 $ 1,612.59 $    512.29 $ 91,635.99
20 $    91,635.99 $ 2,124.88 $ 1,603.63 $    521.25 $ 91,114.74
Principal repaid for 5 Years $8,885.26

Formula Used OPening Bal = previous Closing Bal

Instalment = given

Int = Opening Bal * int rate per quarter

Principal Repay = Instalment - Int

Closing Bal = Opening Bal - Principal repay

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