Question

In: Finance

For this quiz, create an amortization table spreadsheet for a loan with initial balance of $50,000...

  1. For this quiz, create an amortization table spreadsheet for a loan with initial balance of $50,000 at 6.43% with a monthly payment of $1200. Answer the following questions based on that spreadsheet.

  2. What will the loan balance be after the first payment is made?

  3. After which monthly payment does the loan become fully paid off?

  4. Using the $1200 regular monthly payment in that last month will overpay the loan. How much should that last monthly payment be reduced to so that the final loan balance is exactly $0.00

  1. What is the total amount of interest that will be paid on this loan?

Solutions

Expert Solution

What will the loan balance be after the first payment is made?
49067.91667

After which monthly payment does the loan become fully paid off?
48

Using the $1200 regular monthly payment in that last month will overpay the loan. How much should that last monthly payment be reduced to so that the final loan balance is exactly $0.00
Reduced by 865.839 to 334.1607

What is the total amount of interest that will be paid on this loan?
6734.160699

Month Beginning Balance Interest Paid Principal Paid Total Payment Ending Balance
1 50000 267.9166667 932.0833333 1200 49067.91667
2 49067.91667 262.9222535 937.0777465 1200 48130.83892
3 48130.83892 257.9010785 942.0989215 1200 47188.74
4 47188.74 252.8529985 947.1470015 1200 46241.593
5 46241.593 247.7778691 952.2221309 1200 45289.37087
6 45289.37087 242.6755456 957.3244544 1200 44332.04641
7 44332.04641 237.545882 962.454118 1200 43369.59229
8 43369.59229 232.388732 967.611268 1200 42401.98103
9 42401.98103 227.2039483 972.7960517 1200 41429.18497
10 41429.18497 221.9913828 978.0086172 1200 40451.17636
11 40451.17636 216.7508866 983.2491134 1200 39467.92724
12 39467.92724 211.4823101 988.5176899 1200 38479.40955
13 38479.40955 206.1855029 993.8144971 1200 37485.59506
14 37485.59506 200.8603135 999.1396865 1200 36486.45537
15 36486.45537 195.50659 1004.49341 1200 35481.96196
16 35481.96196 190.1241795 1009.87582 1200 34472.08614
17 34472.08614 184.7129282 1015.287072 1200 33456.79907
18 33456.79907 179.2726817 1020.727318 1200 32436.07175
19 32436.07175 173.8032845 1026.196716 1200 31409.87503
20 31409.87503 168.3045804 1031.69542 1200 30378.17961
21 30378.17961 162.7764124 1037.223588 1200 29340.95603
22 29340.95603 157.2186227 1042.781377 1200 28298.17465
23 28298.17465 151.6310525 1048.368948 1200 27249.8057
24 27249.8057 146.0135422 1053.986458 1200 26195.81924
25 26195.81924 140.3659315 1059.634069 1200 25136.18518
26 25136.18518 134.6880589 1065.311941 1200 24070.87323
27 24070.87323 128.9797624 1071.020238 1200 22999.853
28 22999.853 123.240879 1076.759121 1200 21923.09388
29 21923.09388 117.4712447 1082.528755 1200 20840.56512
30 20840.56512 111.6706948 1088.329305 1200 19752.23582
31 19752.23582 105.8390636 1094.160936 1200 18658.07488
32 18658.07488 99.97618456 1100.023815 1200 17558.05106
33 17558.05106 94.08189028 1105.91811 1200 16452.13295
34 16452.13295 88.15601241 1111.843988 1200 15340.28897
35 15340.28897 82.19838171 1117.801618 1200 14222.48735
36 14222.48735 76.20882804 1123.791172 1200 13098.69618
37 13098.69618 70.18718034 1129.81282 1200 11968.88336
38 11968.88336 64.13326665 1135.866733 1200 10833.01662
39 10833.01662 58.04691407 1141.953086 1200 9691.063537
40 9691.063537 51.92794879 1148.072051 1200 8542.991486
41 8542.991486 45.77619605 1154.223804 1200 7388.767682
42 7388.767682 39.59148016 1160.40852 1200 6228.359162
43 6228.359162 33.37362451 1166.626375 1200 5061.732787
44 5061.732787 27.12245152 1172.877548 1200 3888.855238
45 3888.855238 20.83778265 1179.162217 1200 2709.693021
46 2709.693021 14.51943844 1185.480562 1200 1524.212459
47 1524.212459 8.167238428 1191.832762 1200 332.3796978
48 332.3796978 1.781001214 332.3796978 334.160699 0

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