5. At the end of each quarter, $4, 000 is placed in an annuity that earns 6%interest, compounded quarterly. Find the future value of the annuity in 10 years. Use the Future Value of Ordinary Annuity table below.

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question
FUTURE VALUE OF ORDINARY ANNUITY
(ANNUITY IN ARREARS - END OF PERIOD PAYMENTS)
PERIOD
RATE PER PERIOD
0.25%
0.50%
0.75%
1.00%
1.50% 2.00%
2.50%
3.00%
4.00%
5.00%
6.00%
7.00%
8.00%
9.00%
10.00%
11.00%
12.00%
1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
2.00250 2.00500 2.00750 2.01000 2.01500 2.02000 2.02500 2.03000 2.04000 | 2.05000 2.06000 2.07000 2.08000 2.09000 2.10000 2.11000 2.12000
3.18360 3.21490 3.24640| 3.27810 3.31000 3.34210 | 3.37440
4.31013 4.37462 4.43994 4.50611 4.57313 4.64100 4.70973 4.77933
1
1.00000 1.00000
1.00000|
2
3
3.00751 3.01502 3.02256 3.03010 | 3.04522 3.06040 3.07563 3.09090 | 3.12160 | 3.15250
4.06040 4.09090 4.12161 4.15252 4.18363 4.24646
5.10101 5.15227 5.20404 | 5.25633 5.30914 5.41632
6.38774 6.46841 6.63298
7.43428 7.54743 7.66246 7.89829
8.58297 8.73612 8.89234 9.21423
4
4.01503 4.03010 4.04523
5.
5.02506 5.05025
5.07556
5.52563
5.63709 5.75074 5.86660
5.98471 6.10510 6.22780
6.35285
6.80191 6.97532 7.15329 7.33593 7.52333 7.71561 7.91286 8.11519
9.20043 9.48717 9.78327 10.08901
8.28567| 8.43284 9.54911| 9.89747 10.25980 10.63663 11.02847 11.43589 11.85943 12.29969
9.95452 10.15911 10.58280 11.02656 11.49132 11.97799 12.48756 13.02104 13.57948 14.16397 14.77566
10.11325 10.22803 10.34434 10.46221 10.70272 10.94972 11.20338 11.46388 12.00611 12.57789 13.18079 13.81645 14.48656 15.19293 15.93742 16.72201 17.54874
11.13854 11.27917 11.42192 11.56683 11.86326 12.16872 12.48347 12.80780 13.48635 14.20679 14.97164 15.78360 16.64549 17.56029 18.53117 19.56143 20.65458
12.16638 12.33556 12.50759 12.68250 13.04121 13.41209 13.79555 14.19203 15.02581 15.91713 16.86994 17.88845 18.97713 20.14072 21.38428 22.71319 24.13313
13.19680 13.39724 13.60139 13.80933 14.23683 14.68033 15.14044 15.61779 16.62684 17.71298 18.88214 20.14064 21.49530 22.95338 24.52271 26.21164 28.02911
14.22979 14.46423 14.70340 14.94742 15.45038 15.97394 16.51895 17.08632 18.29191 19.59863 21.01507 22.55049 24.21492 26.01919 27.97498 30.09492 32.39260
15.26537 15.53655 15.81368 16.09690 16.68214 17.29342 17.93193 18.59891 20.02359 21.57856 23.27597 25.12902 27.15211 29.36092 31.77248 34.40536 37.27971
16.30353 16.61423 16.93228 17.25786 17.93237 18.63929 19.38022 20.15688| 21.82453 23.65749 25.67253 27.88805 30.32428 33.00340 35.94973 39.18995 42.75328
17.34429 17.69730 18.05927 18.43044 19.20136 20.01207 20.86473 21.76159 23.69751 25.84037 28.21288 30.84022 33.75023 36.97370 40.54470 44.50084 48.88367
18.38765 18.78579 19.19472 19.61475 20.48938 21.41231 22.38635 23.41444 25.64541 28.13238 30.90565 33.99903 37.45024 41.30134 45.59917 50.39594 55.74971
19.43362 19.87972 20.33868 20.81090 21.79672 22.84056 23.94601 25.11687 27.67123 30.53900 33.75999 37.37896 41.44626 46.01846 51.15909 56.93949 63.43968
20.48220 20.97912 21.49122 22.01900 23.12367 24.29737 25.54466 26.87037 29.77808 33.06595 36.78559 40.99549| 45.76196 51.16012 57.27500 64.20283 72.05244
21.53341 22.08401 22.65240 23.23919 24.47052 25.78332 27.18327 28.67649 31.96920 35.71925 39.99273 44.86518 50.42292 56.76453 64.00250 72.26514 81.69874
22.58724 23.19443 23.82230 24.47159 25.83758 27.29898 28.86286 30.53678 34.24797 38.50521 43.39229 49.00574 55.45676 62.87334 71.40275 81.21431 92.50258
23.64371 24.31040 25.00096 25.71630 27.22514 28.84496 30.58443 32.45288| 36.61789 41.43048 46.99583 53.43614 60.89330 69.53194 79.54302 91.14788 104.6029
24.70282 25.43196 26.18847 26.97346 28.63352 30.42186 32.34904 34.42647 39.08260 44.50200 50.81558 58.17667 66.76476 76.78981 88.49733 102.1742 118.1552
6.03763 6.07550
6.11363 6.15202 6.22955 6.30812
7
7.05272 7.10588
7.15948 7.21354 7.32299
8.14201
8.39384 8.65402
8.92280
8.07035 8.14141 8.21318
9.09053 | 9.18212
8
9
9.27478
9.36853
9.55933 9.75463
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25.76457 26.55912 27.38488 28.24320 30.06302 32.03030|34.15776 36.45926 41.64591 47.72710 54.86451 63.24904 73.10594 84.70090 98.34706 114.4133 133.3339
31.11331 32.28002 33.50290 34.78489 37.53868 40.56808 43.9027047.57542 56.08494 66.43885 79.05819 94.46079 113.2832 136.3075 164.4940 199.0209 241.3327
36.52924 38.14538 39.85381 41.66028 45.59209 49.99448 54.92821 60.46208| 73.65222 90.32031 111.4348 138.2369 172.3168 215.7108 271.0244 341.5896 431.6635
42.01320 44.15885 46.44648 48.88637 54.26789 60.40198 67.4025575.40126 95.02552 120.7998 154.7620 199.6351 259.0565 337.8824 442.5926 581.8261 767.0914
25
30
35
40
50
53.18868 56.64516 60.39426 64.46318 73.68283 84.57940 97.48435 112.7969 152.6671 209.3480 290.3359 406.5289 573.7702 815.0836 1163.909 1668.771 2400.018
Transcribed Image Text:FUTURE VALUE OF ORDINARY ANNUITY (ANNUITY IN ARREARS - END OF PERIOD PAYMENTS) PERIOD RATE PER PERIOD 0.25% 0.50% 0.75% 1.00% 1.50% 2.00% 2.50% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00% 9.00% 10.00% 11.00% 12.00% 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 2.00250 2.00500 2.00750 2.01000 2.01500 2.02000 2.02500 2.03000 2.04000 | 2.05000 2.06000 2.07000 2.08000 2.09000 2.10000 2.11000 2.12000 3.18360 3.21490 3.24640| 3.27810 3.31000 3.34210 | 3.37440 4.31013 4.37462 4.43994 4.50611 4.57313 4.64100 4.70973 4.77933 1 1.00000 1.00000 1.00000| 2 3 3.00751 3.01502 3.02256 3.03010 | 3.04522 3.06040 3.07563 3.09090 | 3.12160 | 3.15250 4.06040 4.09090 4.12161 4.15252 4.18363 4.24646 5.10101 5.15227 5.20404 | 5.25633 5.30914 5.41632 6.38774 6.46841 6.63298 7.43428 7.54743 7.66246 7.89829 8.58297 8.73612 8.89234 9.21423 4 4.01503 4.03010 4.04523 5. 5.02506 5.05025 5.07556 5.52563 5.63709 5.75074 5.86660 5.98471 6.10510 6.22780 6.35285 6.80191 6.97532 7.15329 7.33593 7.52333 7.71561 7.91286 8.11519 9.20043 9.48717 9.78327 10.08901 8.28567| 8.43284 9.54911| 9.89747 10.25980 10.63663 11.02847 11.43589 11.85943 12.29969 9.95452 10.15911 10.58280 11.02656 11.49132 11.97799 12.48756 13.02104 13.57948 14.16397 14.77566 10.11325 10.22803 10.34434 10.46221 10.70272 10.94972 11.20338 11.46388 12.00611 12.57789 13.18079 13.81645 14.48656 15.19293 15.93742 16.72201 17.54874 11.13854 11.27917 11.42192 11.56683 11.86326 12.16872 12.48347 12.80780 13.48635 14.20679 14.97164 15.78360 16.64549 17.56029 18.53117 19.56143 20.65458 12.16638 12.33556 12.50759 12.68250 13.04121 13.41209 13.79555 14.19203 15.02581 15.91713 16.86994 17.88845 18.97713 20.14072 21.38428 22.71319 24.13313 13.19680 13.39724 13.60139 13.80933 14.23683 14.68033 15.14044 15.61779 16.62684 17.71298 18.88214 20.14064 21.49530 22.95338 24.52271 26.21164 28.02911 14.22979 14.46423 14.70340 14.94742 15.45038 15.97394 16.51895 17.08632 18.29191 19.59863 21.01507 22.55049 24.21492 26.01919 27.97498 30.09492 32.39260 15.26537 15.53655 15.81368 16.09690 16.68214 17.29342 17.93193 18.59891 20.02359 21.57856 23.27597 25.12902 27.15211 29.36092 31.77248 34.40536 37.27971 16.30353 16.61423 16.93228 17.25786 17.93237 18.63929 19.38022 20.15688| 21.82453 23.65749 25.67253 27.88805 30.32428 33.00340 35.94973 39.18995 42.75328 17.34429 17.69730 18.05927 18.43044 19.20136 20.01207 20.86473 21.76159 23.69751 25.84037 28.21288 30.84022 33.75023 36.97370 40.54470 44.50084 48.88367 18.38765 18.78579 19.19472 19.61475 20.48938 21.41231 22.38635 23.41444 25.64541 28.13238 30.90565 33.99903 37.45024 41.30134 45.59917 50.39594 55.74971 19.43362 19.87972 20.33868 20.81090 21.79672 22.84056 23.94601 25.11687 27.67123 30.53900 33.75999 37.37896 41.44626 46.01846 51.15909 56.93949 63.43968 20.48220 20.97912 21.49122 22.01900 23.12367 24.29737 25.54466 26.87037 29.77808 33.06595 36.78559 40.99549| 45.76196 51.16012 57.27500 64.20283 72.05244 21.53341 22.08401 22.65240 23.23919 24.47052 25.78332 27.18327 28.67649 31.96920 35.71925 39.99273 44.86518 50.42292 56.76453 64.00250 72.26514 81.69874 22.58724 23.19443 23.82230 24.47159 25.83758 27.29898 28.86286 30.53678 34.24797 38.50521 43.39229 49.00574 55.45676 62.87334 71.40275 81.21431 92.50258 23.64371 24.31040 25.00096 25.71630 27.22514 28.84496 30.58443 32.45288| 36.61789 41.43048 46.99583 53.43614 60.89330 69.53194 79.54302 91.14788 104.6029 24.70282 25.43196 26.18847 26.97346 28.63352 30.42186 32.34904 34.42647 39.08260 44.50200 50.81558 58.17667 66.76476 76.78981 88.49733 102.1742 118.1552 6.03763 6.07550 6.11363 6.15202 6.22955 6.30812 7 7.05272 7.10588 7.15948 7.21354 7.32299 8.14201 8.39384 8.65402 8.92280 8.07035 8.14141 8.21318 9.09053 | 9.18212 8 9 9.27478 9.36853 9.55933 9.75463 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25.76457 26.55912 27.38488 28.24320 30.06302 32.03030|34.15776 36.45926 41.64591 47.72710 54.86451 63.24904 73.10594 84.70090 98.34706 114.4133 133.3339 31.11331 32.28002 33.50290 34.78489 37.53868 40.56808 43.9027047.57542 56.08494 66.43885 79.05819 94.46079 113.2832 136.3075 164.4940 199.0209 241.3327 36.52924 38.14538 39.85381 41.66028 45.59209 49.99448 54.92821 60.46208| 73.65222 90.32031 111.4348 138.2369 172.3168 215.7108 271.0244 341.5896 431.6635 42.01320 44.15885 46.44648 48.88637 54.26789 60.40198 67.4025575.40126 95.02552 120.7998 154.7620 199.6351 259.0565 337.8824 442.5926 581.8261 767.0914 25 30 35 40 50 53.18868 56.64516 60.39426 64.46318 73.68283 84.57940 97.48435 112.7969 152.6671 209.3480 290.3359 406.5289 573.7702 815.0836 1163.909 1668.771 2400.018
15. At the end of each quarter, $4, 000 is placed in an annuity that earns 6%interest, compounded quarterly. Find the future value of the annuity in 10 years.
Use the Future Value of Ordinary Annuity table below.
Transcribed Image Text:15. At the end of each quarter, $4, 000 is placed in an annuity that earns 6%interest, compounded quarterly. Find the future value of the annuity in 10 years. Use the Future Value of Ordinary Annuity table below.
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