You are going to save $200 each month for three years so that you can put a down payment on a new car. If the monthly compound interest rate on your account is 0.25%, what is the largest down payment you can make at the end of three years (immediately after the last deposit)?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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please explain so I can understand. Engineering Econ

TABLE C-1 Discrete Compounding; i = 1/4%
Single Payment
Compound Present
Amount
Factor
Worth
Factor
N
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
30
36
40
48
60
72
84
100
00
To Find F
Given P
F/P
1.0025
1.0050
1.0075
1.0100
1.0126
1.0151
1.0176
1.0202
1.0227
1.0253
1.0278
1.0304
1.0330
1.0356
1.0382
1.0408
1.0434
1.0460
1.0486
1.0512
1.0538
1.0565
1.0591
1.0618
1.0644
1.0778
1.0941
1.1050
1.1273
1.1616
1.1969
1.2334
1.2836
To Find P
Given F
P/F
0.9975
0.9950
0.9925
0.9901
0.9876
0.9851
0.9827
0.9802
0.9778
0.9753
0.9729
0.9705
0.9681
0.9656
0.9632
0.9608
0.9584
0.9561
0.9537
0.9513
0.9489
0.9466
0.9442
0.9418
0.9395
0.9278
0.9140
0.9050
0.8871
0.8609
0.8355
0.8108
0.7790
Compound
Amount
Factor
To Find F
Given A
F/A
1.0000
2.0025
3.0075
4.0150
5.0251
6.0376
7.0527
8.0704
9.0905
10.1133
11.1385
12.1664
13.1968
14.2298
15.2654
16.3035
17.3443
18.3876
19.4336
20.4822
21.5334
22.5872
23.6437
24.7028
25.7646
31.1133
37.6206
42.0132
50.9312
64.6467
78.7794
93.3419
113.4500
Uniform Series
Present
Worth
Factor
To Find P
Given A
P/A
0.9975
1.9925
2.9851
3.9751
4.9627
5.9478
6.9305
7.9107
8.8885
9.8639
10.8368
11.8073
12.7753
13.7410
14.7042
15.6650
16.6235
17.5795
18.5332
19.4845
20.4334
21.3800
22.3241
23.2660
24.2055
28.8679
34.3865
38.0199
45.1787
55.6524
65.8169
75.6813
88.3825
400.0000
Sinking
Fund
Factor
To Find A
Given F
A/F
1.0000
0.4994
0.3325
0.2491
0.1990
0.1656
0.1418
0.1239
0.1100
0.0989
0.0898
0.0822
0.0758
0.0703
0.0655
0.0613
0.0577
0.0544
0.0515
0.0488
0.0464
0.0443
0.0423
0.0405
0.0388
0.0321
0.0266
0.0238
0.0196
0.0155
0.0127
0.0107
0.0088
Capital
Recovery
Factor
To Find A
Given P
A/P
1.0025
0.5019
0.3350
0.2516
0.2015
0.1681
0.1443
0.1264
0.1125
0.1014
0.0923
0.0847
0.0783
0.0728
0.0680
0.0638
0.0602
0.0569
0.0540
0.0513
0.0489
0.0468
0.0448
0.0430
0.0413
0.0346
0.0291
0.0263
0.0221
0.0180
0.0152
0.0132
0.0113
0.0025
Uniform Gradient
Gradient
Present Worth
Factor
To Find P
Given G
P/G
0.000
0.995
2.980
5.950
9.901
14.826
20.722
27.584
35.406
44.184
53.913
64.589
76.205
88.759
102.244
116.657
131.992
148.245
165.411
183.485
202.463
222.341
243.113
264.775
287.323
413.185
592.499
728.740
1040.055
1600.085
2265.557
3029.759
4191.242
Gradient
Uniform Series
Factor
To Find A
Given G
A/G
0.0000
0.4994
0.9983
1.4969
1.9950
2.4927
2.9900
3.4869
3.9834
4.4794
4.9750
5.4702
5.9650
6.4594
6.9534
7.4469
7.9401
8.4328
8.9251
9.4170
9.9085
10.3995
10.8901
11.3804
11.8702
14.3130
17.2306
19.1673
23.0209
28.7514
34.4221
40.0331
47.4216
N
5
6
8
9
10
11
12
13
14
15
6781920 21222324 25 20 26 0 5 60 24 100 8
30
36
40
48
72
84
Transcribed Image Text:TABLE C-1 Discrete Compounding; i = 1/4% Single Payment Compound Present Amount Factor Worth Factor N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 36 40 48 60 72 84 100 00 To Find F Given P F/P 1.0025 1.0050 1.0075 1.0100 1.0126 1.0151 1.0176 1.0202 1.0227 1.0253 1.0278 1.0304 1.0330 1.0356 1.0382 1.0408 1.0434 1.0460 1.0486 1.0512 1.0538 1.0565 1.0591 1.0618 1.0644 1.0778 1.0941 1.1050 1.1273 1.1616 1.1969 1.2334 1.2836 To Find P Given F P/F 0.9975 0.9950 0.9925 0.9901 0.9876 0.9851 0.9827 0.9802 0.9778 0.9753 0.9729 0.9705 0.9681 0.9656 0.9632 0.9608 0.9584 0.9561 0.9537 0.9513 0.9489 0.9466 0.9442 0.9418 0.9395 0.9278 0.9140 0.9050 0.8871 0.8609 0.8355 0.8108 0.7790 Compound Amount Factor To Find F Given A F/A 1.0000 2.0025 3.0075 4.0150 5.0251 6.0376 7.0527 8.0704 9.0905 10.1133 11.1385 12.1664 13.1968 14.2298 15.2654 16.3035 17.3443 18.3876 19.4336 20.4822 21.5334 22.5872 23.6437 24.7028 25.7646 31.1133 37.6206 42.0132 50.9312 64.6467 78.7794 93.3419 113.4500 Uniform Series Present Worth Factor To Find P Given A P/A 0.9975 1.9925 2.9851 3.9751 4.9627 5.9478 6.9305 7.9107 8.8885 9.8639 10.8368 11.8073 12.7753 13.7410 14.7042 15.6650 16.6235 17.5795 18.5332 19.4845 20.4334 21.3800 22.3241 23.2660 24.2055 28.8679 34.3865 38.0199 45.1787 55.6524 65.8169 75.6813 88.3825 400.0000 Sinking Fund Factor To Find A Given F A/F 1.0000 0.4994 0.3325 0.2491 0.1990 0.1656 0.1418 0.1239 0.1100 0.0989 0.0898 0.0822 0.0758 0.0703 0.0655 0.0613 0.0577 0.0544 0.0515 0.0488 0.0464 0.0443 0.0423 0.0405 0.0388 0.0321 0.0266 0.0238 0.0196 0.0155 0.0127 0.0107 0.0088 Capital Recovery Factor To Find A Given P A/P 1.0025 0.5019 0.3350 0.2516 0.2015 0.1681 0.1443 0.1264 0.1125 0.1014 0.0923 0.0847 0.0783 0.0728 0.0680 0.0638 0.0602 0.0569 0.0540 0.0513 0.0489 0.0468 0.0448 0.0430 0.0413 0.0346 0.0291 0.0263 0.0221 0.0180 0.0152 0.0132 0.0113 0.0025 Uniform Gradient Gradient Present Worth Factor To Find P Given G P/G 0.000 0.995 2.980 5.950 9.901 14.826 20.722 27.584 35.406 44.184 53.913 64.589 76.205 88.759 102.244 116.657 131.992 148.245 165.411 183.485 202.463 222.341 243.113 264.775 287.323 413.185 592.499 728.740 1040.055 1600.085 2265.557 3029.759 4191.242 Gradient Uniform Series Factor To Find A Given G A/G 0.0000 0.4994 0.9983 1.4969 1.9950 2.4927 2.9900 3.4869 3.9834 4.4794 4.9750 5.4702 5.9650 6.4594 6.9534 7.4469 7.9401 8.4328 8.9251 9.4170 9.9085 10.3995 10.8901 11.3804 11.8702 14.3130 17.2306 19.1673 23.0209 28.7514 34.4221 40.0331 47.4216 N 5 6 8 9 10 11 12 13 14 15 6781920 21222324 25 20 26 0 5 60 24 100 8 30 36 40 48 72 84
You are going to save $200 each month for three years so that
you can put a down payment on a new car. If the monthly
compound interest rate on your account is 0.25%, what is the
largest down payment you can make at the end of three years
(immediately after the last deposit)?
Transcribed Image Text:You are going to save $200 each month for three years so that you can put a down payment on a new car. If the monthly compound interest rate on your account is 0.25%, what is the largest down payment you can make at the end of three years (immediately after the last deposit)?
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