Question
Sunland Corporation, having recently issued a $20,120,000, 15-year bond issue, is committed to make annual sinking fund deposits of $606,200. The deposits are made on
Sunland Corporation, having recently issued a $20,120,000, 15-year bond issue, is committed to make annual sinking fund deposits of $606,200. The deposits are made on the last day of each year and yield a return of 10%. Click here to view factor tables Will the fund at the end of 15 years be sufficient to retire the bonds?
Future value of an ordinary annuity | $enter a dollar amount rounded to 0 decimal places | |
Will funds be sufficient? | select between Yes and No YesNo |
Sunland Corporation, having recently issued a $20,120,000, 15-year bond issue, is committed to make annual sinking fund deposits of $606,200. The deposits are made on the last day of each year and yield a return of 10%. Click here to view factor tables Determine the amount of deficiency. (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)
Deficiency | $enter a dollar amount rounded to 0 decimal places |
Future Value of an Ordinary Annuity of 1
FVF-OAn,i=(1+i)n1i | ||||||
(n) Periods | 2% | 2% | 3% | 4% | 5% | 6% |
1 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 |
2 | 2.02000 | 2.02500 | 2.03000 | 2.04000 | 2.05000 | 2.06000 |
3 | 3.06040 | 3.07563 | 3.09090 | 3.12160 | 3.15250 | 3.18360 |
4 | 4.12161 | 4.15252 | 4.18363 | 4.24646 | 4.31013 | 4.37462 |
5 | 5.20404 | 5.25633 | 5.30914 | 5.41632 | 5.52563 | 5.63709 |
6 | 6.30812 | 6.38774 | 6.46841 | 6.63298 | 6.80191 | 6.97532 |
7 | 7.43428 | 7.54743 | 7.66246 | 7.89829 | 8.14201 | 8.39384 |
8 | 8.58297 | 8.73612 | 8.89234 | 9.21423 | 9.54911 | 9.89747 |
9 | 9.75463 | 9.95452 | 10.15911 | 10.58280 | 11.02656 | 11.49132 |
10 | 10.94972 | 11.20338 | 11.46338 | 12.00611 | 12.57789 | 13.18079 |
11 | 12.16872 | 12.48347 | 12.80780 | 13.48635 | 14.20679 | 14.97164 |
12 | 13.41209 | 13.79555 | 14.19203 | 15.02581 | 15.91713 | 16.86994 |
13 | 14.68033 | 15.14044 | 15.61779 | 16.62684 | 17.71298 | 18.88214 |
14 | 15.97394 | 16.51895 | 17.08632 | 18.29191 | 19.59863 | 21.01507 |
15 | 17.29342 | 17.93193 | 18.59891 | 20.02359 | 21.57856 | 23.27597 |
16 | 18.63929 | 19.38022 | 20.15688 | 21.82453 | 23.65749 | 25.67253 |
17 | 20.01207 | 20.86473 | 21.76159 | 23.69751 | 25.84037 | 28.21288 |
18 | 21.41231 | 22.38635 | 23.41444 | 25.64541 | 28.13238 | 30.90565 |
19 | 22.84056 | 23.94601 | 25.11687 | 27.67123 | 30.53900 | 33.75999 |
20 | 24.29737 | 25.54466 | 26.87037 | 29.77808 | 33.06595 | 36.78559 |
21 | 25.78332 | 27.18327 | 28.67649 | 31.96920 | 35.71925 | 39.99273 |
22 | 27.29898 | 28.86286 | 30.53678 | 34.24797 | 38.50521 | 43.39229 |
23 | 28.84496 | 30.58443 | 32.45288 | 36.61789 | 41.43048 | 46.99583 |
24 | 30.42186 | 32.34904 | 34.42647 | 39.08260 | 44.50200 | 50.81558 |
25 | 32.03030 | 34.15776 | 36.45926 | 41.64591 | 47.72710 | 54.86451 |
26 | 33.67091 | 36.01171 | 38.55304 | 44.31174 | 51.11345 | 59.15638 |
27 | 35.34432 | 37.91200 | 40.70963 | 47.08421 | 54.66913 | 63.70577 |
28 | 37.05121 | 39.85980 | 42.93092 | 49.96758 | 58.40258 | 68.52811 |
29 | 38.79223 | 41.85630 | 45.21885 | 52.96629 | 62.32271 | 73.63980 |
30 | 40.56808 | 43.90270 | 47.57542 | 56.08494 | 66.43885 | 79.05819 |
31 | 42.37944 | 46.00027 | 50.00268 | 59.32834 | 70.76079 | 84.80168 |
32 | 44.22703 | 48.15028 | 52.50276 | 62.70147 | 75.29883 | 90.88978 |
33 | 46.11157 | 50.35403 | 55.07784 | 66.20953 | 80.06377 | 97.34316 |
34 | 48.03380 | 52.61289 | 57.73018 | 69.85791 | 85.06696 | 104.18376 |
35 | 49.99448 | 54.92821 | 60.46208 | 73.65222 | 90.32031 | 111.43478 |
36 | 51.99437 | 57.30141 | 63.27594 | 77.59831 | 95.83632 | 119.12087 |
37 | 54.03425 | 59.73395 | 66.17422 | 81.70225 | 101.62814 | 127.26812 |
38 | 56.11494 | 62.22730 | 69.15945 | 85.97034 | 107.70955 | 135.90421 |
39 | 58.23724 | 64.78298 | 72.23423 | 90.40915 | 114.09502 | 145.05846 |
40 | 60.40198 | 67.40255 | 75.40126 | 95.02552 | 120.79977 | 154.76197 |
8% | 9% | 10% | 11% | 12% | 15% | (n) Periods |
1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1 |
2.08000 | 2.09000 | 2.10000 | 2.11000 | 2.12000 | 2.15000 | 2 |
3.24640 | 3.27810 | 3.31000 | 3.34210 | 3.37440 | 3.47250 | 3 |
4.50611 | 4.57313 | 4.64100 | 4.70973 | 4.77933 | 4.99338 | 4 |
5.86660 | 5.98471 | 6.10510 | 6.22780 | 6.35285 | 6.74238 | 5 |
7.33592 | 7.52334 | 7.71561 | 7.91286 | 8.11519 | 8.75374 | 6 |
8.92280 | 9.20044 | 9.48717 | 9.78327 | 10.08901 | 11.06680 | 7 |
10.63663 | 11.02847 | 11.43589 | 11.85943 | 12.29969 | 13.72682 | 8 |
12.48756 | 13.02104 | 13.57948 | 14.16397 | 14.77566 | 16.78584 | 9 |
14.48656 | 15.19293 | 15.93743 | 16.72201 | 17.54874 | 20.30372 | 10 |
16.64549 | 17.56029 | 18.53117 | 19.56143 | 20.65458 | 24.34928 | 11 |
18.97713 | 20.14072 | 21.38428 | 22.71319 | 24.13313 | 29.00167 | 12 |
21.49530 | 22.95339 | 24.52271 | 26.21164 | 28.02911 | 34.35192 | 13 |
24.21492 | 26.01919 | 27.97498 | 30.09492 | 32.39260 | 40.50471 | 14 |
27.15211 | 29.36092 | 31.77248 | 34.40536 | 37.27972 | 47.58041 | 15 |
30.32428 | 33.00340 | 35.94973 | 39.18995 | 42.75328 | 55.71747 | 16 |
33.75023 | 36.97371 | 40.54470 | 44.50084 | 48.88367 | 65.07509 | 17 |
37.45024 | 41.30134 | 45.59917 | 50.39593 | 55.74972 | 75.83636 | 18 |
41.44626 | 46.01846 | 51.15909 | 56.93949 | 63.43968 | 88.21181 | 19 |
45.76196 | 51.16012 | 57.27500 | 64.20283 | 72.05244 | 102.44358 | 20 |
50.42292 | 56.76453 | 64.00250 | 72.26514 | 81.69874 | 118.81012 | 21 |
55.45676 | 62.87334 | 71.40275 | 81.21431 | 92.50258 | 137.63164 | 22 |
60.89330 | 69.53194 | 79.54302 | 91.14788 | 104.60289 | 159.27638 | 23 |
66.76476 | 76.78981 | 88.49733 | 102.17415 | 118.15524 | 184.16784 | 24 |
73.10594 | 84.70090 | 98.34706 | 114.41331 | 133.33387 | 212.79302 | 25 |
79.95442 | 93.32398 | 109.18177 | 127.99877 | 150.33393 | 245.71197 | 26 |
87.35077 | 102.72314 | 121.09994 | 143.07864 | 169.37401 | 283.56877 | 27 |
95.33883 | 112.96822 | 134.20994 | 159.81729 | 190.69889 | 327.10408 | 28 |
103.96594 | 124.13536 | 148.63093 | 178.39719 | 214.58275 | 377.16969 | 29 |
113.28321 | 136.30754 | 164.49402 | 199.02088 | 241.33268 | 434.74515 | 30 |
123.34587 | 149.57522 | 181.94343 | 221.91317 | 271.29261 | 500.95692 | 31 |
134.21354 | 164.03699 | 201.13777 | 247.32362 | 304.84772 | 577.10046 | 32 |
145.95062 | 179.80032 | 222.25154 | 275.52922 | 342.42945 | 644.66553 | 33 |
158.62667 | 196.98234 | 245.47670 | 306.83744 | 384.52098 | 765.36535 | 34 |
172.31680 | 215.71076 | 271.02437 | 341.58955 | 431.66350 | 881.17016 | 35 |
187.10215 | 236.12472 | 299.12681 | 380.16441 | 484.46312 | 1014.34568 | 36 |
203.07032 | 258.37595 | 330.03949 | 422.98249 | 543.59869 | 1167.49753 | 37 |
220.31595 | 282.62978 | 364.04343 | 470.51056 | 609.83053 | 1343.62216 | 38 |
238.94122 | 309.06646 | 401.44778 | 523.26673 | 684.01020 | 1546.16549 | 39 |
259.05652 | 337.88245 | 442.59256 | 581.82607 | 767.09142 | 1779.09031 | 40 |
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