Find the annual worth (AW) of the following investments (from year 1 to year 20) if you invest $600 per year in years 6 to 12; and then increase the investment by $200 per year from year 13 to year 20 [i.e., cash flow in year 13 becomes $800, in year 14 becomes $1,000, ... etc.]. The interest rate is 10% per year. i = 10% A/P n P/F A/F P/G (F/P.i,n) = (1 + i)y" 1 0.9091 1.1000 1.0000 0.000 2 0.8264 0.5762 0.4762 0.826 3 0.7513 0.4021 0.3021 2.329 (1 + i)" –1 - (P/A,i,n) = 4 0.6830 0.3155 0.2155 4.378 i(1 + i)" 0.6209 0.2638 0.1638 6.862 6 0.5645 0.2296 0.1296 9.684 0.1054 0.0874 7 0.5132 0.2054 12.763 (1 + i)" –1 (F/A,i,n)= 8 0.4665 0.1874 16.029 i 0.4241 0.1736 0.0736 19.421 10 0.3855 0.1627 0.0627 22.891 (1 + і)" — in — 1 (1 + i)" 11 0.3505 0.1540 0.0540 26.396 - (P/G.i,n) = 12 0.3186 0.1468 0.0468 29.901 13 0.2897 0.1408 0.0408 33.377 14 0.2633 0.1357 0.0357 36.800 (A /Gim) = | 15 0.2394 0.1315 0.0315 40.152 (1 + i)" – 1 16 0.2176 0.1278 0.0278 43.416 17 0.1978 0.1247 0.0247 46.582 49.640 52.583 18 0.1799 0.1219 0.0219 1+g -liti 19 0.1635 0.1195 0.0195 20 0.1486 0.1175 0.0175 55.407 8#i i-8 8 = i

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
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Find the annual worth (AW) of the following investments (from year 1 to year 20) if you invest $600
per year in years 6 to 12; and then increase the investment by $200 per year from year 13 to year 20
[i.e., cash flow in year 13 becomes $800, in year 14 becomes $1,000, ... etc.]. The interest rate is 10%
per year.
i 10%
P/F
A/P
A/F
P/G
(F/P,i,n) = (1 + i)"
1
0.9091
1.1000
1.0000
0.000
2
0.8264
0.5762
0.4762
0.826
(1 + i)" –1
i(1 + i)"
3
0.7513
0.4021
0.3021
2.329
(P/A,i,n) =
4
0.6830
0.3155
0.2155
4.378
0.6209
0.2638
0.1638
6.862
6
0.5645
0.2296
0.1296
9.684
(1 + i)" –1
i
7
0.5132
0.2054
0.1054
12.763
(F/A,i,n) =
8
0.4665
0.1874
0.0874
16.029
%3D
9
0.4241
0.1736
0.0736
19.421
10
0.3855
0.1627
0.0627
22.891
26.396
29.901
(1 + i)" – in – 1
(1 + i)"
11
0.3505
0.1540
0.0540
(P/G,i,n) = -
%3D
12
0.3186
0.1468
0.0468
13
0.2897
0.1408
0.0408
33.377
14
0.2633
0.1357
0.0357
36.800
(A/G.im) = } -+ -1
15
0.2394
0.1315
0.0315
40.152
n
(1 + i)" – 1
16
0.2176
0.1278
0.0278
43.416
17
0.1978
0.1247
0.0247
46.582
18
0.1799
0.1219
0.0219
49.640
0.1195
0.1175
19
0.1635
0.0195
52.583
1+i
i- 8
20
0.1486
0.0175
55.407
g#i
P =
A,
8 = i
Transcribed Image Text:Find the annual worth (AW) of the following investments (from year 1 to year 20) if you invest $600 per year in years 6 to 12; and then increase the investment by $200 per year from year 13 to year 20 [i.e., cash flow in year 13 becomes $800, in year 14 becomes $1,000, ... etc.]. The interest rate is 10% per year. i 10% P/F A/P A/F P/G (F/P,i,n) = (1 + i)" 1 0.9091 1.1000 1.0000 0.000 2 0.8264 0.5762 0.4762 0.826 (1 + i)" –1 i(1 + i)" 3 0.7513 0.4021 0.3021 2.329 (P/A,i,n) = 4 0.6830 0.3155 0.2155 4.378 0.6209 0.2638 0.1638 6.862 6 0.5645 0.2296 0.1296 9.684 (1 + i)" –1 i 7 0.5132 0.2054 0.1054 12.763 (F/A,i,n) = 8 0.4665 0.1874 0.0874 16.029 %3D 9 0.4241 0.1736 0.0736 19.421 10 0.3855 0.1627 0.0627 22.891 26.396 29.901 (1 + i)" – in – 1 (1 + i)" 11 0.3505 0.1540 0.0540 (P/G,i,n) = - %3D 12 0.3186 0.1468 0.0468 13 0.2897 0.1408 0.0408 33.377 14 0.2633 0.1357 0.0357 36.800 (A/G.im) = } -+ -1 15 0.2394 0.1315 0.0315 40.152 n (1 + i)" – 1 16 0.2176 0.1278 0.0278 43.416 17 0.1978 0.1247 0.0247 46.582 18 0.1799 0.1219 0.0219 49.640 0.1195 0.1175 19 0.1635 0.0195 52.583 1+i i- 8 20 0.1486 0.0175 55.407 g#i P = A, 8 = i
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