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Time Value of Money Tables Examples

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1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00% 9.

00%
1 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.080 1.090
2 1.020 1.040 1.061 1.082 1.103 1.124 1.145 1.166 1.188
3 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.260 1.295
4 1.041 1.082 1.126 1.170 1.216 1.262 1.311 1.360 1.412
5 1.051 1.104 1.159 1.217 1.276 1.338 1.403 1.469 1.539
6 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.587 1.677
7 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.714 1.828
8 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.851 1.993
9 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1.999 2.172
10 1.105 1.219 1.344 1.480 1.629 1.791 1.967 2.159 2.367
11 1.116 1.243 1.384 1.539 1.710 1.898 2.105 2.332 2.580
12 1.127 1.268 1.426 1.601 1.796 2.012 2.252 2.518 2.813
13 1.138 1.294 1.469 1.665 1.886 2.133 2.410 2.720 3.066
14 1.149 1.319 1.513 1.732 1.980 2.261 2.579 2.937 3.342
15 1.161 1.346 1.558 1.801 2.079 2.397 2.759 3.172 3.642
16 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3.426 3.970
10.00% 11.00% 12.00% 13.00% 14.00%
1.100 1.110 1.120 1.130 1.140
1.210 1.232 1.254 1.277 1.300
1.331 1.368 1.405 1.443 1.482
1.464 1.518 1.574 1.630 1.689
1.611 1.685 1.762 1.842 1.925
1.772 1.870 1.974 2.082 2.195
1.949 2.076 2.211 2.353 2.502
2.144 2.305 2.476 2.658 2.853
2.358 2.558 2.773 3.004 3.252
2.594 2.839 3.106 3.395 3.707
2.853 3.152 3.479 3.836 4.226
3.138 3.498 3.896 4.335 4.818
3.452 3.883 4.363 4.898 5.492
3.797 4.310 4.887 5.535 6.261
4.177 4.785 5.474 6.254 7.138
4.595 5.311 6.130 7.067 8.137
1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00% 9.00%
1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917
2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842
3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772
4 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708
5 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650
6 0.942 0.888 0.837 0.790 0.746 0.705 0.666 0.630 0.596
7 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547
8 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502
9 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460
10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422
11 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388
12 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356
13 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326
14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299
15 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275
16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252
17 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231
18 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212
19 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194
20 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178
21 0.811 0.660 0.538 0.439 0.359 0.294 0.242 0.199 0.164
22 0.803 0.647 0.522 0.422 0.342 0.278 0.226 0.184 0.150
23 0.795 0.634 0.507 0.406 0.326 0.262 0.211 0.170 0.138
24 0.788 0.622 0.492 0.390 0.310 0.247 0.197 0.158 0.126
25 0.780 0.610 0.478 0.375 0.295 0.233 0.184 0.146 0.116
26 0.772 0.598 0.464 0.361 0.281 0.220 0.172 0.135 0.106
27 0.764 0.586 0.450 0.347 0.268 0.207 0.161 0.125 0.098
28 0.757 0.574 0.437 0.333 0.255 0.196 0.150 0.116 0.090
29 0.749 0.563 0.424 0.321 0.243 0.185 0.141 0.107 0.082
30 0.742 0.552 0.412 0.308 0.231 0.174 0.131 0.099 0.075
10.00% 11.00% 12.00% 13.00% 14.00%
0.909 0.901 0.893 0.885 0.877
0.826 0.812 0.797 0.783 0.769
0.751 0.731 0.712 0.693 0.675
0.683 0.659 0.636 0.613 0.592
0.621 0.593 0.567 0.543 0.519
0.564 0.535 0.507 0.480 0.456
0.513 0.482 0.452 0.425 0.400
0.467 0.434 0.404 0.376 0.351
0.424 0.391 0.361 0.333 0.308
0.386 0.352 0.322 0.295 0.270
0.350 0.317 0.287 0.261 0.237
0.319 0.286 0.257 0.231 0.208
0.290 0.258 0.229 0.204 0.182
0.263 0.232 0.205 0.181 0.160
0.239 0.209 0.183 0.160 0.140
0.218 0.188 0.163 0.141 0.123
0.198 0.170 0.146 0.125 0.108
0.180 0.153 0.130 0.111 0.095
0.164 0.138 0.116 0.098 0.083
0.149 0.124 0.104 0.087 0.073
0.135 0.112 0.093 0.077 0.064 952
0.123 0.101 0.083 0.068 0.056 108 Err:509
0.112 0.091 0.074 0.060 0.049
0.102 0.082 0.066 0.053 0.043 0.113445
0.092 0.074 0.059 0.047 0.038
0.084 0.066 0.053 0.042 0.033
0.076 0.060 0.047 0.037 0.029
0.069 0.054 0.042 0.033 0.026
0.063 0.048 0.037 0.029 0.022
0.057 0.044 0.033 0.026 0.020
1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00% 9.00%
1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
2 2.010 2.020 2.030 2.040 2.050 2.060 2.070 2.080 2.090
3 3.030 3.060 3.091 3.122 3.153 3.184 3.215 3.246 3.278
4 4.060 4.122 4.184 4.246 4.310 4.375 4.440 4.506 4.573
5 5.101 5.204 5.309 5.416 5.526 5.637 5.751 5.867 5.985
6 6.152 6.308 6.468 6.633 6.802 6.975 7.153 7.336 7.523
7 7.214 7.434 7.662 7.898 8.142 8.394 8.654 8.923 9.200
8 8.286 8.583 8.892 9.214 9.549 9.897 10.260 10.637 11.028
9 9.369 9.755 10.159 10.583 11.027 11.491 11.978 12.488 13.021
10 10.462 10.950 11.464 12.006 12.578 13.181 13.816 14.487 15.193
11 11.567 12.169 12.808 13.486 14.207 14.972 15.784 16.645 17.560
12 12.683 13.412 14.192 15.026 15.917 16.870 17.888 18.977 20.141
13 13.809 14.680 15.618 16.627 17.713 18.882 20.141 21.495 22.953
14 14.947 15.974 17.086 18.292 19.599 21.015 22.550 24.215 26.019
15 16.097 17.293 18.599 20.024 21.579 23.276 25.129 27.152 29.361
16 17.258 18.639 20.157 21.825 23.657 25.673 27.888 30.324 33.003
10.00% 11.00% 12.00% 13.00% 14.00%
1.000 1.000 1.000 1.000 1.000
2.100 2.110 2.120 2.130 2.140
3.310 3.342 3.374 3.407 3.440
4.641 4.710 4.779 4.850 4.921
6.105 6.228 6.353 6.480 6.610
7.716 7.913 8.115 8.323 8.536
9.487 9.783 10.089 10.405 10.730
11.436 11.859 12.300 12.757 13.233
13.579 14.164 14.776 15.416 16.085
15.937 16.722 17.549 18.420 19.337
18.531 19.561 20.655 21.814 23.045
21.384 22.713 24.133 25.650 27.271
24.523 26.212 28.029 29.985 32.089
27.975 30.095 32.393 34.883 37.581
31.772 34.405 37.280 40.417 43.842
35.950 39.190 42.753 46.672 50.980
1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00% 9.00%
1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917
2 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759
3 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531
4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240
5 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890
6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486
7 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033
8 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535
9 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995
10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418
11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805
12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161
13 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487
14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786
15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061
16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313
17 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544
18 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756
19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950
20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129
21 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.017 9.292
22 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.201 9.442
23 20.456 18.292 16.444 14.857 13.489 12.303 11.272 10.371 9.580
24 21.243 18.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707
25 22.023 19.523 17.413 15.622 14.094 12.783 11.654 10.675 9.823
26 22.795 20.121 17.877 15.983 14.375 13.003 11.826 10.810 9.929
27 23.560 20.707 18.327 16.330 14.643 13.211 11.987 10.935 10.027
28 24.316 21.281 18.764 16.663 14.898 13.406 12.137 11.051 10.116
29 25.066 21.844 19.188 16.984 15.141 13.591 12.278 11.158 10.198
30 25.808 22.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274
31 26.542 22.938 20.000 17.588 15.593 13.929 12.532 11.350 10.343
32 27.270 23.468 20.389 17.874 15.803 14.084 12.647 11.435 10.406
33 27.990 23.989 20.766 18.148 16.003 14.230 12.754 11.514 10.464
10.00% 11.00% 12.00% 13.00% 14.00%
0.909 0.901 0.893 0.885 0.877
1.736 1.713 1.690 1.668 1.647
2.487 2.444 2.402 2.361 2.322
3.170 3.102 3.037 2.974 2.914
3.791 3.696 3.605 3.517 3.433
4.355 4.231 4.111 3.998 3.889
4.868 4.712 4.564 4.423 4.288
5.335 5.146 4.968 4.799 4.639
5.759 5.537 5.328 5.132 4.946
6.145 5.889 5.650 5.426 5.216
6.495 6.207 5.938 5.687 5.453
6.814 6.492 6.194 5.918 5.660
7.103 6.750 6.424 6.122 5.842
7.367 6.982 6.628 6.302 6.002
7.606 7.191 6.811 6.462 6.142
7.824 7.379 6.974 6.604 6.265
8.022 7.549 7.120 6.729 6.373
8.201 7.702 7.250 6.840 6.467
8.365 7.839 7.366 6.938 6.550
8.514 7.963 7.469 7.025 6.623
8.649 8.075 7.562 7.102 6.687
8.772 8.176 7.645 7.170 6.743
8.883 8.266 7.718 7.230 6.792
8.985 8.348 7.784 7.283 6.835
9.077 8.422 7.843 7.330 6.873
9.161 8.488 7.896 7.372 6.906
9.237 8.548 7.943 7.409 6.935
9.307 8.602 7.984 7.441 6.961
9.370 8.650 8.022 7.470 6.983
9.427 8.694 8.055 7.496 7.003
8.733 8.085 7.518 7.020
8.769 8.112 7.538 7.035
8.801 8.135 7.556 7.048
fv 1000
cr 8%
kd 10%
n 30
Ordinary Annuity Annuity Due
Annuity 1000 1000
N 5 5
I 10.00% 10.00%
FV ₹ 6,105.10 ₹ 6,715.61
₹ 6,715.61
Ex. 1
PV -100000 FV of 1 Re ₹ 1.9487
I 10%
N 7
FV ₹ 194,871.71

Ex. 2
FV 2500000
I 9%
N 15
PV ₹ 686,345.10

Ex. 3 PV 5000
FV 10000
I 12.00%
N 6.12 Years
6 Years 1.44 Months
6 Years 1 Month 13.2
PV 1000000 Amortization of Loan
I 10.00% Yr Op. Bal Installment Interest
N 7 1 1000000 205,405.50 100000
EYI 205,405.50 2 894,594.50 205,405.50 89459.45003
3 778,648.45 205,405.50 77864.845063
4 651,107.80 205,405.50 65110.779599
5 510,813.08 205,405.50 51081.307589
6 356,488.88 205,405.50 35648.888378
7 186,732.27 205,405.50 18673.227246
Principal Cl. Bal.
105,405.50 894,594.50
115,946.05 778,648.45
127,540.65 651,107.80
140,294.72 510,813.08
154,324.19 356,488.88
169,756.61 186,732.27
186,732.27 -
EX1 PV 30000
I 5.00% 8.00% 10.00% 15.00%
N 10

FV 48,866.84 64,767.75 77,812.27 121,366.73

EX2 PV 100000
I 0.08
N 5
FV ₹ 146,932.81

EX3 PV 100000
I 8.00%
N 5
M 4 Quarters
FV ₹ 148,594.74

EX4 FV 800000
I 5.00% 8.00% 10.00% 15.00%
N 10

FV 18,417.40 13,895.80 11,566.30 7,415.54

Ex5 FV 100000
N 10
I 8.00%
PV ₹ 46,319.35

Ex6 FV 100000
N 10
I 8.00%
M 2
PV ₹ 45,638.69

Ex7 Annuity 100000


N 10
I 10.00%
FV ₹ 1,593,742.46

Ex8 FV 2000000
N 5
I 10.00%
Annuity ₹ 327,594.96
Ex9 Cost per pack 48
No. of Days in year 360
Every Year Invt. 17280.00
I 10.00%
N 40
FV ₹ 7,647,999.36

Ex10 Annuity 500000


N 15
I 10.00%
PV OF Option 1 ₹ 3,803,039.75
PV OF Option 2 ₹ 4,000,000.00

Ex11 Annuity 120000


N 20
I 10.00%
PV OF Option 1 ₹ 1,021,627.65
PV OF Option 2 ₹ 1,000,000.00
fv 121000

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