Suppose Jorge Otero has set up an annuity due with a certain credit union. At the beginning of each month, $130 is electronically debited from his checking account and placed into a savings account earning 6% interest compounded monthly. What is the value (in $) of Jorge's account after 16 months? (Round your answer to the nearest cent.)
Suppose Jorge Otero has set up an annuity due with a certain credit union. At the beginning of each month, $130 is electronically debited from his checking account and placed into a savings account earning 6% interest compounded monthly. What is the value (in $) of Jorge's account after 16 months? (Round your answer to the nearest cent.)
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question
Suppose Jorge Otero has set up an annuity due with a certain credit union. At the beginning of each month, $130 is electronically debited from his checking account and placed into a savings account earning 6% interest compounded monthly. What is the value (in $) of Jorge's account after 16 months? (Round your answer to the nearest cent.)
Transcribed Image Text:The values in Table 12-1 were generated by the formula ((1 + i)" - 1)/i and rounded to five decimal places, where i is the interest rate per period and n is the total number of periods.
periods
1%
1.5%
2%
5%
6%
1.00000
7%
8%
9%
11%
1.00000 1.00000
2.11000
3.34210
4.70973
10%
13%
14%
0.5%
1 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000
2 2.00500 2.01000 2.01500 2.02000 2.03000 2.04000 2.05000
3%
4%
12%
15%
16%
17%
18%
1.00000
2.15000
3.47250
1.00000
2.17000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
1.00000
2.06000
2.10000
2.16000
2.07000
3.21490
2.08000
2.09000
2.12000
2.13000
2.14000
2.18000
3.27810
4.57313
3.18360
3.43960
3.50560
3.57240
5.21543
3
3.01502 3.03010 3.04522 3.06040 3.09090 3.12160 3.15250
3.24640
3.31000
3.37440
3.40690
3.53890
4.64100
6.10510
4
4.03010 4.06040 4.09090 4.12161 4.18363 4.24646 4.31013
4.37462
4.43994
4.50611
4.77933
4.84980
4.92114
4.99337
5.06650
5.14051
5 5.05025 5.10101 5.15227 5.20404 5.30914 5.41632 5.52563
5.63709
5.75074
5.86660
5.98471
6.22780
6.35285
6.48027
6.61010
6.74238
6.87714
7.01440
7.15421
6.97532
7.15329
8.39384 8.65402
6
6.07550 6.15202 6.22955 6.30812 6.46841 6.63298 6.80191
7.33593
7.52333
7.71561
7.91286
8.11519
8.32271
8.53552
8.75374
8.97748
9.20685
9.44197
7.10588 7.21354 7.32299 7.43428 7.66246 7.89829 8.14201
8.92280
9.20043
9.48717
9.78327 10.08901 10.40466 10.73049
11.06680
11.41387
11.77201
12.14152
8.14141 8.28567 8.43284 8.58297 8.89234 9.21423 9.54911
9 9.18212 9.36853 9.55933 9.75463 10.15911 10.58280 11.02656 11.49132 11.97799 12.48756 13.02104 13.57948 14.16397 14.77566 15.41571 16.08535
10 10.22803 10.46221 10.70272 10.94972 11.46388 12.00611 12.57789 13.18079 13.81645 14.48656 15.19293
9.89747
10.25980 10.63663
11.02847
11.43589
11.85943
12.29969 12.75726 13.23276
13.72682
14.24009
14.77325
15.32700
16.78584
17.51851
18.28471
19.08585
15.93742 16.72201 17.54874
18.41975 19.33730
20.30372
21.32147
22.39311
23.52131
11 11.27917 11.56683 11.86326 12.16872 12.80780 13.48635 14.20679 14.97164 15.78360 16.64549 17.56029 18.53117 19.56143 20.65458 21.81432 23.04452
12 12.33556 12.68250 13.04121 13.41209 14.19203 15.02581 15.91713 16.86994 17.88845 18.97713 20.14072 21.38428 22.71319 24.13313 25.65018 27.27075
13 13.39724 13.80933 14.23683 14.68033 15.61779 16.62684 17.71298 18.88214 20.14064 21.49530 22.95338 24.52271 26.21164 28.02911 29.98470 32.08865
14 14.46423 14.94742 15.45038 15.97394 17.08632 18.29191 19.59863
15 15.53655 16.09690 16.68214 17.29342 18.59891 20.02359 21.57856 23.27597 25.12902 27.15211 29.36092 31.77248 34.40536 37.27971 40.41746 43.84241
24.34928
25.73290
27.19994
28.75514
29.00167
34.35192
30.85017
32.82393
34.93107
39.40399
47.10267
36.78620
42.21866
50.81802
60.96527
21.01507 22.55049 24.21492 26.01919 27.97498 30.09492
32.39260 34.88271 37.58107
40.50471
43.67199
47.58041
51.65951 56.11013
16 16.61423 17.25786 17.93237 18.63929 20.15688 21.82453 23.65749 25.67253 27.88805 30.32428 33.00340 35.94973 39.18995 42.75328 46.67173 50.98035
17 17.69730 18.43044 19.20136 20.01207 21.76159 23.69751 25.84037 28.21288
18 18.78579 19.61475 20.48938 21.41231 23.41444 25.64541 28.13238 30.90565 33.99903 37.45024 41.30134 45.59917 50.39594 55.74971 61.72514 68.39407
19 19.87972 20.81090 21.79672 22.84056 25.11687 27.67123 30.53900
20 20.97912 22.01900 23.12367 24.29737 26.87037 29.77808 33.06595 36.78559 40.99549 45.76196 51.16012 57.27500 64.20283
55.71747
60.92503
66.64885
72.93901
30.84022 33.75023 36.97370 40.54470 44.50084 48.88367 53.73906 59.11760
65.07509
71.67303 78.97915
87.06804
75.83636
84.14072 93.40561 103.74028
33.75999 37.37896 41.44626 46.01846 51.15909
56.93949 63.43968 70.74941 78.96923
88.21181
98.60323 110.28456 123.41353
72.05244 80.94683 91.02493 102.44358 115.37975 130.03294 146.62797
21 22.08401 23.23919 24.47052 25.78332 28.67649 31.96920 35.71925 39.99273 44.86518 50.42292 56.76453 64.00250 72.26514 81.69874 92.46992 104.76842 118.81012 134.84051 153.13854 174.02100
22 23.19443 24.47159 25.83758 27.29898 30.53678 34.24797 38.50521 43.39229 49.00574 55.45676 62.87334 71.40275 81.21431 92.50258 105.49101 120.43600 137.63164 157.41499 180.17209 206.34479
23 24.31040 25.71630 27.22514 28.84496 32.45288 36.61789 41.43048 46.99583
24 25.43196 26.97346 28.63352 30.42186 34.42647 39.08260 44.50200 50.81558 58.17667 66.76476 76.78981 88.49733 102.17415 118.15524 136.83147 158.65862
25 26.55912 28.24320 30.06302 32.03030 36.45926 41.64591 47.72710 54.86451 63.24904 73.10594
53.43614 60.89330 69.53194 79.54302 91.14788 104.60289 120.20484 138.29704 159.27638 183.60138 211.80134 244.48685
184.16784 213.97761 248.80757 289.49448
84.70090 98.34706 114.41331 133.33387 155.61956 181.87083
212.79302 249.21402 292.10486 342.60349
26 27.69191 29.52563 31.51397 33.67091 38.55304 44.31174 51.11345 59.15638 68.67647 79.95442 93.32398 109.18177 127.99877 150.33393 176.85010 208.33274
27 28.83037 30.82089 32.98668 35.34432 40.70963 47.08421 54.66913 63.70577 74.48382 87.35077 102.72313 121.09994 143.07864 169.37401 200.84061 238.49933 283.56877 337.50239 402.03234 479.22109
28 29.97452 32.12910 34.48148 37.05121 42.93092 49.96758 58.40258 68.52811 80.69769 95.33883 112.96822 134.20994 159.81729 190.69889 227.94989 272.88923 327.10408 392. 50277 471.37783 566.48089
29 31.12439 33.45039 35.99870 38.79223 45.21885 52.96629 62.32271 73.63980 87.34653 103.96594 124.13536 148.63093 178.39719 214.58275 258.58338 312.09373 377.16969 456.30322 552.51207 669.44745
30 32.28002 34.78489 37.53868 40.56808 47.57542 56.08494 66.43885 79.05819 94.46079 113.28321 136.30754 164.49402 199.02088 241.33268 293.19922 356.78685 434.74515 530.31173 647.43912 790.94799
245.71197 290.08827 342.76268 405.27211
500. 95692 616,16161
31 33.44142 36.13274 39.10176 42.37944 50.00268 59.32834 70.76079 84.80168 102.07304 123.34587 149.57522 181.94342 221.91317 271.29261 332.31511 407.73701
32 34.60862 37.49407 40.68829 44.22703 52.50276 62.70147 75.29883 90.88978 110.21815 134.21354 164.03699 201.13777 247.32362 304.84772 376.51608 465.82019 577.10046 715.74746 888.44941 1103.49598
33 35.78167 38.86901 42.29861 46.11157 55.07784 66.20953 80.06377 97.34316 118.93343 145.95062 179.80032 222.25154 275.52922 342.42945 426.46317 532.03501
34 36.96058 40.25770 43.93309 48.03380 57.73018 69.85791 85.06696 104.18375 128.25876 158.62667 196.98234 245.47670 306.83744 384.52098 482.90338 607.51991
35 38.14538 41.66028 45.59209 49.99448 60.46208 73.65222 90.32031 111.43478 138.23688 172.31680 215.71075 271.02437 341.58955 431.66350 546.68082 693.57270 881.17016 1120.71295 1426.49102 1816.65161
758.50377 934.31863
664.66552 831.26706 1040.48581 1303.12526
765.36535 965.26979 1218.36839 1538.68781
36 39.33610 43.07688 47.27597 51.99437 63.27594 77.59831 95.83632 119.12087 148.91346 187.10215 236.12472 299.12681 380.16441 484.46312 618.74933 791.67288 1014.34568 1301.02703 1669.99450 2144.64890
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