Consider a geometric series of cash flows that begins at time 5 with a cash flow of $5,000. Cash flows in this series will increase by 7% each period. There are a total of nine cash flows in this series. What is the future equivalent of this cash flow series at time = 20 if the interest rate is 10% per period?
Consider a geometric series of cash flows that begins at time 5 with a cash flow of $5,000. Cash flows in this series will increase by 7% each period. There are a total of nine cash flows in this series. What is the future equivalent of this cash flow series at time = 20 if the interest rate is 10% per period?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Explain, Engineering Econ
![TABLE C-13 Discrete Compounding; i = 10%
Single Payment
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67890 H2BAS SEKRE
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19
20
21
22
23
24
25
30
35
40
45
50
60
Compound Present
Worth
Amount
Factor
Factor
80
To Find F
Given P
F/P
1.1000
1.2100
1.3310
1.4641
1.6105
1.7716
1.9487
2.1436
2.3579
2.5937
2.8531
3.1384
3.4523
3.7975
4.1772
4.5950
5.0545
5.5599
6.1159
6.7275
7.4002
8.1403
8.9543
9.8497
10.8347
304.4816
2048.4002
100 13780.6123
80
17.4494
28.1024
45.2593
72.8905
117.3909
"Less than 0.0001.
To Find P
Given F
P/F
0.9091
0.8264
0.7513
0.6830
0.6209
0.5645
0.5132
0.4665
0.4241
0.3855
0.3505
0.3186
0.2897
0.2633
0.2394
0.2176
0.1978
0.1799
0.1635
0.1486
0.1351
0.1228
0.1117
0.1015
0.0923
0.0573
0.0356
0.0221
0.0137
0.0085
0.0033
0.0005
0.0001
Compound
Amount
Factor
To Find F
Given A
F/A
1.0000
2.1000
3.3100
4.6410
6.1051
7.7156
9.4872
11.4359
13.5795
15.9374
18.5312
21.3843
24.5227
27.9750
31.7725
35.9497
40.5447
45.5992
51.1591
57.2750
64.0025
71.4027
79.5430
88.4973
98.3471
164.4940
271.0244
442.5926
718.9048
1163.9085
3034.8164
20474.0021
137796.1234
Uniform Series
Present
Worth
Factor
To Find P
Given A
P/A
0.9091
1.7355
2.4869
3.1699
3.7908
4.3553
4.8684
5.3349
5.7590
6.1446
6.4951
6.8137
7.1034
7.3667
7.6061
7.8237
8.0216
8.2014
8.3649
8.5136
8.6487
8.7715
8.8832
8.9847
9.0770
9.4269
9.6442
9.7791
9.8628
9.9148
9.9672
9.9951
9.9993
10.0000
Sinking
Fund
Factor
To Find A
Given F
A/F
1.0000
0.4762
0.3021
0.2155
0.1638
0.1296
0.1054
0.0874
0.0736
0.0627
0.0540
0.0468
0.0408
0.0357
0.0315
0.0278
0.0247
0.0219
0.0195
0.0175
0.0156
0.0140
0.0126
0.0113
0.0102
0.0061
0.0037
0.0023
0.0014
0.0009
0.0003
a
a
Capital
Recovery
Factor
To Find A
Given P
A/P
1.1000
0.5762
0.4021
0.3155
0.2638
0.2296
0.2054
0.1874
0.1736
0.1627
0.1540
0.1468
0.1408
0.1357
0.1315
0.1278
0.1247
0.1219
0.1195
0.1175
0.1156
0.1140
0.1126
0.1113
0.1102
0.1061
0.1037
0.1023
0.1014
0.1009
0.1003
0.1000
0.1000
0.1000
Uniform Gradient
Gradient
Gradient
Present Worth Uniform Series
Factor
To Find A
Given G
A/G
Factor
To Find P
Given G
P/G
0.000
0.826
2.329
4.378
6.862
9.684
12.763
16.029
19.422
22.891
26.396
29.901
33.377
36.801
40.152
43.416
46.582
49.640
52.583
55.407
58.110
60.689
63.146
65.481
67.696
77.077
83.987
88.953
92.454
94.889
97.701
99.561
99.920
0.0000
0.4762
0.9366
1.3812
1.8101
2.2236
2.6216
3.0045
3.3724
3.7255
4.0641
4.3884
4.6988
4.9955
5.2789
5.5493
5.8071
6.0526
6.2861
6.5081
6.7189
6.9189
7.1085
7.2881
7.4580
8.1762
8.7086
9.0962
9.3740
9.5704
9.8023
9.9609
9.9927
N
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PARAS PARAS 42 288
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Transcribed Image Text:TABLE C-13 Discrete Compounding; i = 10%
Single Payment
N
12345
5
67890 H2BAS SEKRE
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
30
35
40
45
50
60
Compound Present
Worth
Amount
Factor
Factor
80
To Find F
Given P
F/P
1.1000
1.2100
1.3310
1.4641
1.6105
1.7716
1.9487
2.1436
2.3579
2.5937
2.8531
3.1384
3.4523
3.7975
4.1772
4.5950
5.0545
5.5599
6.1159
6.7275
7.4002
8.1403
8.9543
9.8497
10.8347
304.4816
2048.4002
100 13780.6123
80
17.4494
28.1024
45.2593
72.8905
117.3909
"Less than 0.0001.
To Find P
Given F
P/F
0.9091
0.8264
0.7513
0.6830
0.6209
0.5645
0.5132
0.4665
0.4241
0.3855
0.3505
0.3186
0.2897
0.2633
0.2394
0.2176
0.1978
0.1799
0.1635
0.1486
0.1351
0.1228
0.1117
0.1015
0.0923
0.0573
0.0356
0.0221
0.0137
0.0085
0.0033
0.0005
0.0001
Compound
Amount
Factor
To Find F
Given A
F/A
1.0000
2.1000
3.3100
4.6410
6.1051
7.7156
9.4872
11.4359
13.5795
15.9374
18.5312
21.3843
24.5227
27.9750
31.7725
35.9497
40.5447
45.5992
51.1591
57.2750
64.0025
71.4027
79.5430
88.4973
98.3471
164.4940
271.0244
442.5926
718.9048
1163.9085
3034.8164
20474.0021
137796.1234
Uniform Series
Present
Worth
Factor
To Find P
Given A
P/A
0.9091
1.7355
2.4869
3.1699
3.7908
4.3553
4.8684
5.3349
5.7590
6.1446
6.4951
6.8137
7.1034
7.3667
7.6061
7.8237
8.0216
8.2014
8.3649
8.5136
8.6487
8.7715
8.8832
8.9847
9.0770
9.4269
9.6442
9.7791
9.8628
9.9148
9.9672
9.9951
9.9993
10.0000
Sinking
Fund
Factor
To Find A
Given F
A/F
1.0000
0.4762
0.3021
0.2155
0.1638
0.1296
0.1054
0.0874
0.0736
0.0627
0.0540
0.0468
0.0408
0.0357
0.0315
0.0278
0.0247
0.0219
0.0195
0.0175
0.0156
0.0140
0.0126
0.0113
0.0102
0.0061
0.0037
0.0023
0.0014
0.0009
0.0003
a
a
Capital
Recovery
Factor
To Find A
Given P
A/P
1.1000
0.5762
0.4021
0.3155
0.2638
0.2296
0.2054
0.1874
0.1736
0.1627
0.1540
0.1468
0.1408
0.1357
0.1315
0.1278
0.1247
0.1219
0.1195
0.1175
0.1156
0.1140
0.1126
0.1113
0.1102
0.1061
0.1037
0.1023
0.1014
0.1009
0.1003
0.1000
0.1000
0.1000
Uniform Gradient
Gradient
Gradient
Present Worth Uniform Series
Factor
To Find A
Given G
A/G
Factor
To Find P
Given G
P/G
0.000
0.826
2.329
4.378
6.862
9.684
12.763
16.029
19.422
22.891
26.396
29.901
33.377
36.801
40.152
43.416
46.582
49.640
52.583
55.407
58.110
60.689
63.146
65.481
67.696
77.077
83.987
88.953
92.454
94.889
97.701
99.561
99.920
0.0000
0.4762
0.9366
1.3812
1.8101
2.2236
2.6216
3.0045
3.3724
3.7255
4.0641
4.3884
4.6988
4.9955
5.2789
5.5493
5.8071
6.0526
6.2861
6.5081
6.7189
6.9189
7.1085
7.2881
7.4580
8.1762
8.7086
9.0962
9.3740
9.5704
9.8023
9.9609
9.9927
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![Consider a geometric series of cash flows that begins
at time 5 with a cash flow of $5,000. Cash flows in
this series will increase by 7% each period. There are
a total of nine cash flows in this series. What is the
future equivalent of this cash flow series at time = 20
if the interest rate is 10% per period?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1f50f17-8873-45d4-b929-2ec6fdbb3e82%2F29e55e42-128f-41f7-ad47-59cbdd85b9c0%2Fmqclzt8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a geometric series of cash flows that begins
at time 5 with a cash flow of $5,000. Cash flows in
this series will increase by 7% each period. There are
a total of nine cash flows in this series. What is the
future equivalent of this cash flow series at time = 20
if the interest rate is 10% per period?
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