Worth Factor Discrete Compounding;/=1% Single Payment Compound Amount Factor Present Compound Amount Uniform Series Sinking Factor Present Worth Factor Fund Factor To Find F To Find P To Find F To Find P Given P Given F Given A Given A Given F To Find A Capital Recovery Factor To Find A Given P N F/P P/F F/A P/A A/F A/P 1 1.0100 0.9901 1.0000 0.9901 1.0000 1.0100 2 1.0201 0.9803 2.0100 1.9704 0.4975 0.5075 3 1.0303 0.9706 3.0301 2.9410 0.3300 0.3400 4 1.0406 0.9610 4.0604 3.9020 0.2463 0.2563 5 1.0510 0.9515 5.1010 4.8534 0.1960 0.2060 6 1.0615 0.9420 6.1520 5.7955 0.1625 0.1725 7 1.0721 0.9327 7.2135 6.7282 0.1386 0.1486 8 1.0829 0.9235 8.2857 7.6517 0.1207 0.1307 9 1.0937 0.9143 9.3685 8.5660 0.1067 0.1167 10 1.1046 0.9053 10.4622 9.4713 0.0956 0.1056 11 1.1157 0.8963 11.5668 10.3676 0.0865 0.0965 12 1.1268 0.8874 12.6825 11.2551 0.0788 0.0888 13 1.1381 0.8787 13.8093 12.1337 0.0724 0.0824 14 1.1495 0.8700 14.9474 13.0037 0.0669 0.0769 15 1.1610 0.8613 16.0969 13.8651 0.0621 0.0721 16 1.1726 0.8528 17.2579 14.7179 0.0579 0.0679 17 1.1843 0.8444 18.4304 15.5623 0.0543 0.0643 18 1.1961 0.8360 19.6147 16.3983 0.0510 0.0610 19 1.2081 0.8277 20.8109 17.2260 0.0481 0.0581 20 1.2202 0.8195 22.0190 18.0456 0.0454 0.0554 21 1.2324 0.8114 23.2392 18.8570 0.0430 0.0530 22 1.2447 0.8034 24.4716 19.6604 0.0409 0.0509 23 1.2572 0.7954 25.7163 20.4558 0.0389 0.0489 24 1.2697 0.7876 26.9735 21.2434 0.0371 0.0471 25 1.2824 0.7798 28.2432 22.0232 0.0354 0.0454 30 1.3478 0.7419 34.7849 25.8077 0.0287 0.0387 36 1.4308 0.6989 43.0769 30.1075 0.0232 0.0332 40 1.4889 0.6717 48.8864 32.8347 0.0205 0.0305 48 1.6122 0.6203 61.2226 37.9740 0.0163 0.0263 60 1.8167 0.5504 81.6697 44.9550 0.0122 0.0222 0 1 4M 5M 3M 2M 2 EOY 3 Q 4M 4M 4M 4M H 4 0 1 2 EOY لی 4

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question

Are the following cash flow diagrams economically equivalent if the interest rate is 8​% per​ year? 

The​ left-hand diagram's discounted value at the EOY 0 is __ M.
 
Please don't use excel and please show your work.
Worth Factor
Discrete Compounding;/=1%
Single Payment
Compound
Amount
Factor
Present
Compound
Amount
Uniform Series
Sinking
Factor
Present
Worth Factor
Fund
Factor
To Find F
To Find P
To Find F
To Find P
Given P
Given F
Given A
Given A
Given F
To Find A
Capital
Recovery
Factor
To Find A
Given P
N
F/P
P/F
F/A
P/A
A/F
A/P
1
1.0100
0.9901
1.0000
0.9901
1.0000
1.0100
2
1.0201
0.9803
2.0100
1.9704
0.4975
0.5075
3
1.0303
0.9706
3.0301
2.9410
0.3300
0.3400
4
1.0406
0.9610
4.0604
3.9020
0.2463
0.2563
5
1.0510
0.9515
5.1010
4.8534
0.1960
0.2060
6
1.0615
0.9420
6.1520
5.7955
0.1625
0.1725
7
1.0721
0.9327
7.2135
6.7282
0.1386
0.1486
8
1.0829
0.9235
8.2857
7.6517
0.1207
0.1307
9
1.0937
0.9143
9.3685
8.5660
0.1067
0.1167
10
1.1046
0.9053
10.4622
9.4713
0.0956
0.1056
11
1.1157
0.8963
11.5668
10.3676
0.0865
0.0965
12
1.1268
0.8874
12.6825
11.2551
0.0788
0.0888
13
1.1381
0.8787
13.8093
12.1337
0.0724
0.0824
14
1.1495
0.8700
14.9474
13.0037
0.0669
0.0769
15
1.1610
0.8613
16.0969
13.8651
0.0621
0.0721
16
1.1726
0.8528
17.2579
14.7179
0.0579
0.0679
17
1.1843
0.8444
18.4304
15.5623
0.0543
0.0643
18
1.1961
0.8360
19.6147
16.3983
0.0510
0.0610
19
1.2081
0.8277
20.8109
17.2260
0.0481
0.0581
20
1.2202
0.8195
22.0190
18.0456
0.0454
0.0554
21
1.2324
0.8114
23.2392
18.8570
0.0430
0.0530
22
1.2447
0.8034
24.4716
19.6604
0.0409
0.0509
23
1.2572
0.7954
25.7163
20.4558
0.0389
0.0489
24
1.2697
0.7876
26.9735
21.2434
0.0371
0.0471
25
1.2824
0.7798
28.2432
22.0232
0.0354
0.0454
30
1.3478
0.7419
34.7849
25.8077
0.0287
0.0387
36
1.4308
0.6989
43.0769
30.1075
0.0232
0.0332
40
1.4889
0.6717
48.8864
32.8347
0.0205
0.0305
48
1.6122
0.6203
61.2226
37.9740
0.0163
0.0263
60
1.8167
0.5504
81.6697
44.9550
0.0122
0.0222
Transcribed Image Text:Worth Factor Discrete Compounding;/=1% Single Payment Compound Amount Factor Present Compound Amount Uniform Series Sinking Factor Present Worth Factor Fund Factor To Find F To Find P To Find F To Find P Given P Given F Given A Given A Given F To Find A Capital Recovery Factor To Find A Given P N F/P P/F F/A P/A A/F A/P 1 1.0100 0.9901 1.0000 0.9901 1.0000 1.0100 2 1.0201 0.9803 2.0100 1.9704 0.4975 0.5075 3 1.0303 0.9706 3.0301 2.9410 0.3300 0.3400 4 1.0406 0.9610 4.0604 3.9020 0.2463 0.2563 5 1.0510 0.9515 5.1010 4.8534 0.1960 0.2060 6 1.0615 0.9420 6.1520 5.7955 0.1625 0.1725 7 1.0721 0.9327 7.2135 6.7282 0.1386 0.1486 8 1.0829 0.9235 8.2857 7.6517 0.1207 0.1307 9 1.0937 0.9143 9.3685 8.5660 0.1067 0.1167 10 1.1046 0.9053 10.4622 9.4713 0.0956 0.1056 11 1.1157 0.8963 11.5668 10.3676 0.0865 0.0965 12 1.1268 0.8874 12.6825 11.2551 0.0788 0.0888 13 1.1381 0.8787 13.8093 12.1337 0.0724 0.0824 14 1.1495 0.8700 14.9474 13.0037 0.0669 0.0769 15 1.1610 0.8613 16.0969 13.8651 0.0621 0.0721 16 1.1726 0.8528 17.2579 14.7179 0.0579 0.0679 17 1.1843 0.8444 18.4304 15.5623 0.0543 0.0643 18 1.1961 0.8360 19.6147 16.3983 0.0510 0.0610 19 1.2081 0.8277 20.8109 17.2260 0.0481 0.0581 20 1.2202 0.8195 22.0190 18.0456 0.0454 0.0554 21 1.2324 0.8114 23.2392 18.8570 0.0430 0.0530 22 1.2447 0.8034 24.4716 19.6604 0.0409 0.0509 23 1.2572 0.7954 25.7163 20.4558 0.0389 0.0489 24 1.2697 0.7876 26.9735 21.2434 0.0371 0.0471 25 1.2824 0.7798 28.2432 22.0232 0.0354 0.0454 30 1.3478 0.7419 34.7849 25.8077 0.0287 0.0387 36 1.4308 0.6989 43.0769 30.1075 0.0232 0.0332 40 1.4889 0.6717 48.8864 32.8347 0.0205 0.0305 48 1.6122 0.6203 61.2226 37.9740 0.0163 0.0263 60 1.8167 0.5504 81.6697 44.9550 0.0122 0.0222
0
1
4M
5M
3M
2M
2
EOY
3
Q
4M
4M
4M
4M
H
4
0
1
2
EOY
لی
4
Transcribed Image Text:0 1 4M 5M 3M 2M 2 EOY 3 Q 4M 4M 4M 4M H 4 0 1 2 EOY لی 4
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