Question

An automobile loan of $12,000 at a nominal rate of 4% compounded monthly for 48 months requires equal end-of-month payments o
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Answer #1

Following is the complete amortization schedule:

Month Opening Balance PMT Interest Principal repayment Closing Balance
0 $         12,000.00
1 $            12,000.00 $         270.95 $        40.00 $                         230.95 $         11,769.05
2 $            11,769.05 $         270.95 $        39.23 $                         231.72 $         11,537.33
3 $            11,537.33 $         270.95 $        38.46 $                         232.49 $         11,304.84
4 $            11,304.84 $         270.95 $        37.68 $                         233.27 $         11,071.58
5 $            11,071.58 $         270.95 $        36.91 $                         234.04 $         10,837.53
6 $            10,837.53 $         270.95 $        36.13 $                         234.82 $         10,602.71
7 $            10,602.71 $         270.95 $        35.34 $                         235.61 $         10,367.10
8 $            10,367.10 $         270.95 $        34.56 $                         236.39 $         10,130.71
9 $            10,130.71 $         270.95 $        33.77 $                         237.18 $           9,893.53
10 $              9,893.53 $         270.95 $        32.98 $                         237.97 $           9,655.56
11 $              9,655.56 $         270.95 $        32.19 $                         238.76 $           9,416.80
12 $              9,416.80 $         270.95 $        31.39 $                         239.56 $           9,177.24
13 $              9,177.24 $         270.95 $        30.59 $                         240.36 $           8,936.88
14 $              8,936.88 $         270.95 $        29.79 $                         241.16 $           8,695.72
15 $              8,695.72 $         270.95 $        28.99 $                         241.96 $           8,453.76
16 $              8,453.76 $         270.95 $        28.18 $                         242.77 $           8,210.99
17 $              8,210.99 $         270.95 $        27.37 $                         243.58 $           7,967.41
18 $              7,967.41 $         270.95 $        26.56 $                         244.39 $           7,723.02
19 $              7,723.02 $         270.95 $        25.74 $                         245.21 $           7,477.81
20 $              7,477.81 $         270.95 $        24.93 $                         246.02 $           7,231.79
21 $              7,231.79 $         270.95 $        24.11 $                         246.84 $           6,984.95
22 $              6,984.95 $         270.95 $        23.28 $                         247.67 $           6,737.28
23 $              6,737.28 $         270.95 $        22.46 $                         248.49 $           6,488.79
24 $              6,488.79 $         270.95 $        21.63 $                         249.32 $           6,239.47
25 $              6,239.47 $         270.95 $        20.80 $                         250.15 $           5,989.32
26 $              5,989.32 $         270.95 $        19.96 $                         250.98 $           5,738.34
27 $              5,738.34 $         270.95 $        19.13 $                         251.82 $           5,486.52
28 $              5,486.52 $         270.95 $        18.29 $                         252.66 $           5,233.86
29 $              5,233.86 $         270.95 $        17.45 $                         253.50 $           4,980.36
30 $              4,980.36 $         270.95 $        16.60 $                         254.35 $           4,726.01
31 $              4,726.01 $         270.95 $        15.75 $                         255.20 $           4,470.81
32 $              4,470.81 $         270.95 $        14.90 $                         256.05 $           4,214.77
33 $              4,214.77 $         270.95 $        14.05 $                         256.90 $           3,957.87
34 $              3,957.87 $         270.95 $        13.19 $                         257.76 $           3,700.11
35 $              3,700.11 $         270.95 $        12.33 $                         258.61 $           3,441.50
36 $              3,441.50 $         270.95 $        11.47 $                         259.48 $           3,182.02
37 $              3,182.02 $         270.95 $        10.61 $                         260.34 $           2,921.68
38 $              2,921.68 $         270.95 $           9.74 $                         261.21 $           2,660.47
39 $              2,660.47 $         270.95 $           8.87 $                         262.08 $           2,398.39
40 $              2,398.39 $         270.95 $           7.99 $                         262.95 $           2,135.43
41 $              2,135.43 $         270.95 $           7.12 $                         263.83 $           1,871.60
42 $              1,871.60 $         270.95 $           6.24 $                         264.71 $           1,606.89
43 $              1,606.89 $         270.95 $           5.36 $                         265.59 $           1,341.30
44 $              1,341.30 $         270.95 $           4.47 $                         266.48 $           1,074.82
45 $              1,074.82 $         270.95 $           3.58 $                         267.37 $               807.46
46 $                  807.46 $         270.95 $           2.69 $                         268.26 $               539.20
47 $                  539.20 $         270.95 $           1.80 $                         269.15 $               270.05
48 $                  270.05 $         270.95 $           0.90 $                         270.05 $                    0.00
$   13,005.54 $ 1,005.54 $                   12,000.00
  • Opening balance = previous year's closing balance
  • Closing balance = Opening balance+Loan-Principal repayment
  • PMT is given
  • Interest = 0.04 /12 x opening balance
  • Principal repayment = PMT - Interest
  • Bold marked months are those which are required by the question

LLLLLLLLL LLLLLLLLLLLLLLLLLLLLLLLLLLLL O II 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 Interest Value

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