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6–32. (Calculating the components of an annuity payment) You have just bought a house inom do for €270,000 by taking a 20-yea
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rate positively .. let me knw if you need any clarification..

Ans a
Given that =
FV 0
PV -270000
I 8%/12 0.6667%
N 20*12 240
Compute PMT $2,258.39
therefore monthly payment= $2,258.39
Ans b Computation of 50th Payment
we have to prepare amoritzation schedule
Period Beginning Interest Payment Clo balance
1    270,000.00    1,800.00    2,258.39    269,541.61
2    269,541.61    1,796.94    2,258.39    269,080.17
3    269,080.17    1,793.87    2,258.39    268,615.65
4    268,615.65    1,790.77    2,258.39    268,148.03
5    268,148.03    1,787.65    2,258.39    267,677.30
6    267,677.30    1,784.52    2,258.39    267,203.42
7    267,203.42    1,781.36    2,258.39    266,726.39
8    266,726.39    1,778.18    2,258.39    266,246.18
9    266,246.18    1,774.97    2,258.39    265,762.76
10    265,762.76    1,771.75    2,258.39    265,276.13
11    265,276.13    1,768.51    2,258.39    264,786.25
12    264,786.25    1,765.24    2,258.39    264,293.10
13    264,293.10    1,761.95    2,258.39    263,796.67
14    263,796.67    1,758.64    2,258.39    263,296.92
15    263,296.92    1,755.31    2,258.39    262,793.85
16    262,793.85    1,751.96    2,258.39    262,287.42
17    262,287.42    1,748.58    2,258.39    261,777.61
18    261,777.61    1,745.18    2,258.39    261,264.41
19    261,264.41    1,741.76    2,258.39    260,747.78
20    260,747.78    1,738.32    2,258.39    260,227.71
21    260,227.71    1,734.85    2,258.39    259,704.18
22    259,704.18    1,731.36    2,258.39    259,177.15
23    259,177.15    1,727.85    2,258.39    258,646.61
24    258,646.61    1,724.31    2,258.39    258,112.53
25    258,112.53    1,720.75    2,258.39    257,574.89
26    257,574.89    1,717.17    2,258.39    257,033.67
27    257,033.67    1,713.56    2,258.39    256,488.84
28    256,488.84    1,709.93    2,258.39    255,940.38
29    255,940.38    1,706.27    2,258.39    255,388.26
30    255,388.26    1,702.59    2,258.39    254,832.46
31    254,832.46    1,698.88    2,258.39    254,272.96
32    254,272.96    1,695.15    2,258.39    253,709.72
33    253,709.72    1,691.40    2,258.39    253,142.73
34    253,142.73    1,687.62    2,258.39    252,571.96
35    252,571.96    1,683.81    2,258.39    251,997.38
36    251,997.38    1,679.98    2,258.39    251,418.98
37    251,418.98    1,676.13    2,258.39    250,836.72
38    250,836.72    1,672.24    2,258.39    250,250.57
39    250,250.57    1,668.34    2,258.39    249,660.52
40    249,660.52    1,664.40    2,258.39    249,066.54
41    249,066.54    1,660.44    2,258.39    248,468.59
42    248,468.59    1,656.46    2,258.39    247,866.66
43    247,866.66    1,652.44    2,258.39    247,260.72
44    247,260.72    1,648.40    2,258.39    246,650.74
45    246,650.74    1,644.34    2,258.39    246,036.69
46    246,036.69    1,640.24    2,258.39    245,418.54
47    245,418.54    1,636.12    2,258.39    244,796.28
48    244,796.28    1,631.98    2,258.39    244,169.86
49    244,169.86    1,627.80    2,258.39    243,539.28
50    243,539.28    1,623.60    2,258.39    242,904.48
therefore 50th intesest =    1,623.60
therefore 50th principle =       634.79
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