Question
Assume that Sonic Foundry Corporation has a contractual debt outstanding. Sonic has available two means of settlement. It can either make immediate payment of $2,369,000,
Assume that Sonic Foundry Corporation has a contractual debt outstanding. Sonic has available two means of settlement. It can either make immediate payment of $2,369,000, or it can make annual payments of $289,700 for 15 years. Click here to view factor tables Payments must begin now and be made on the first day of each of the 15 years, what payment method would you recommend assuming an expected effective-interest rate of 9% during the future period? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)
Present value of annual payment | $ | |
Recommended payment method | Annual PaymentsImmediate Payment |
Interest Tables and Their Contents
1. Future Value of 1 Table. Contains the amounts to which 1 will accumulate if deposited now at a specified rate and left for a specified number of periods (Table 6.1).
TABLE 6.1 Future Value of 1 (Future Value of a Single Sum)
FVFn,i=(1+i)n | ||||||
(n) Periods | 2% | 2% | 3% | 4% | 5% | 6% |
1 | 1.02000 | 1.02500 | 1.03000 | 1.04000 | 1.05000 | 1.06000 |
2 | 1.04040 | 1.05063 | 1.06090 | 1.08160 | 1.10250 | 1.12360 |
3 | 1.06121 | 1.07689 | 1.09273 | 1.12486 | 1.15763 | 1.19102 |
4 | 1.08243 | 1.10381 | 1.12551 | 1.16986 | 1.21551 | 1.26248 |
5 | 1.10408 | 1.13141 | 1.15927 | 1.21665 | 1.27628 | 1.33823 |
6 | 1.12616 | 1.15969 | 1.19405 | 1.26532 | 1.34010 | 1.41852 |
7 | 1.14869 | 1.18869 | 1.22987 | 1.31593 | 1.40710 | 1.50363 |
8 | 1.17166 | 1.21840 | 1.26677 | 1.36857 | 1.47746 | 1.59385 |
9 | 1.19509 | 1.24886 | 1.30477 | 1.42331 | 1.55133 | 1.68948 |
10 | 1.21899 | 1.28008 | 1.34392 | 1.48024 | 1.62889 | 1.79085 |
11 | 1.24337 | 1.31209 | 1.38423 | 1.53945 | 1.71034 | 1.89830 |
12 | 1.26824 | 1.34489 | 1.42576 | 1.60103 | 1.79586 | 2.01220 |
13 | 1.29361 | 1.37851 | 1.46853 | 1.66507 | 1.88565 | 2.13293 |
14 | 1.31948 | 1.41297 | 1.51259 | 1.73168 | 1.97993 | 2.26090 |
15 | 1.34587 | 1.44830 | 1.55797 | 1.80094 | 2.07893 | 2.39656 |
16 | 1.37279 | 1.48451 | 1.60471 | 1.87298 | 2.18287 | 2.54035 |
17 | 1.40024 | 1.52162 | 1.65285 | 1.94790 | 2.29202 | 2.69277 |
18 | 1.42825 | 1.55966 | 1.70243 | 2.02582 | 2.40662 | 2.85434 |
19 | 1.45681 | 1.59865 | 1.75351 | 2.10685 | 2.52695 | 3.02560 |
20 | 1.48595 | 1.63862 | 1.80611 | 2.19112 | 2.65330 | 3.20714 |
21 | 1.51567 | 1.67958 | 1.86029 | 2.27877 | 2.78596 | 3.39956 |
22 | 1.54598 | 1.72157 | 1.91610 | 2.36992 | 2.92526 | 3.60354 |
23 | 1.57690 | 1.76461 | 1.97359 | 2.46472 | 3.07152 | 3.81975 |
24 | 1.60844 | 1.80873 | 2.03279 | 2.56330 | 3.22510 | 4.04893 |
25 | 1.64061 | 1.85394 | 2.09378 | 2.66584 | 3.38635 | 4.29187 |
26 | 1.67342 | 1.90029 | 2.15659 | 2.77247 | 3.55567 | 4.54938 |
27 | 1.70689 | 1.94780 | 2.22129 | 2.88337 | 3.73346 | 4.82235 |
28 | 1.74102 | 1.99650 | 2.28793 | 2.99870 | 3.92013 | 5.11169 |
29 | 1.77584 | 2.04641 | 2.35657 | 3.11865 | 4.11614 | 5.41839 |
30 | 1.81136 | 2.09757 | 2.42726 | 3.24340 | 4.32194 | 5.74349 |
31 | 1.84759 | 2.15001 | 2.50008 | 3.37313 | 4.53804 | 6.08810 |
32 | 1.88454 | 2.20376 | 2.57508 | 3.50806 | 4.76494 | 6.45339 |
33 | 1.92223 | 2.25885 | 2.65234 | 3.64838 | 5.00319 | 6.84059 |
34 | 1.96068 | 2.31532 | 2.73191 | 3.79432 | 5.25335 | 7.25103 |
35 | 1.99989 | 2.37321 | 2.81386 | 3.94609 | 5.51602 | 7.68609 |
36 | 2.03989 | 2.43254 | 2.89828 | 4.10393 | 5.79182 | 8.14725 |
37 | 2.08069 | 2.49335 | 2.98523 | 4.26809 | 6.08141 | 8.63609 |
38 | 2.12230 | 2.55568 | 3.07478 | 4.43881 | 6.38548 | 9.15425 |
39 | 2.16474 | 2.61957 | 3.16703 | 4.61637 | 6.70475 | 9.70351 |
40 | 2.20804 | 2.68506 | 3.26204 | 4.80102 | 7.03999 | 10.28572 |
8% | 9% | 10% | 11% | 12% | 15% | (n) Periods |
1.08000 | 1.09000 | 1.10000 | 1.11000 | 1.12000 | 1.15000 | 1 |
1.16640 | 1.18810 | 1.21000 | 1.23210 | 1.25440 | 1.32250 | 2 |
1.25971 | 1.29503 | 1.33100 | 1.36763 | 1.40493 | 1.52088 | 3 |
1.36049 | 1.41158 | 1.46410 | 1.51807 | 1.57352 | 1.74901 | 4 |
1.46933 | 1.53862 | 1.61051 | 1.68506 | 1.76234 | 2.01136 | 5 |
1.58687 | 1.67710 | 1.77156 | 1.87041 | 1.97382 | 2.31306 | 6 |
1.71382 | 1.82804 | 1.94872 | 2.07616 | 2.21068 | 2.66002 | 7 |
1.85093 | 1.99256 | 2.14359 | 2.30454 | 2.47596 | 3.05902 | 8 |
1.99900 | 2.17189 | 2.35795 | 2.55803 | 2.77308 | 3.51788 | 9 |
2.15892 | 2.36736 | 2.59374 | 2.83942 | 3.10585 | 4.04556 | 10 |
2.33164 | 2.58043 | 2.85312 | 3.15176 | 3.47855 | 4.65239 | 11 |
2.51817 | 2.81267 | 3.13843 | 3.49845 | 3.89598 | 5.35025 | 12 |
2.71962 | 3.06581 | 3.45227 | 3.88328 | 4.36349 | 6.15279 | 13 |
2.93719 | 3.34173 | 3.79750 | 4.31044 | 4.88711 | 7.07571 | 14 |
3.17217 | 3.64248 | 4.17725 | 4.78459 | 5.47357 | 8.13706 | 15 |
3.42594 | 3.97031 | 4.59497 | 5.31089 | 6.13039 | 9.35762 | 16 |
3.70002 | 4.32763 | 5.05447 | 5.89509 | 6.86604 | 10.76126 | 17 |
3.99602 | 4.71712 | 5.55992 | 6.54355 | 7.68997 | 12.37545 | 18 |
4.31570 | 5.14166 | 6.11591 | 7.26334 | 8.61276 | 14.23177 | 19 |
4.66096 | 5.60441 | 6.72750 | 8.06231 | 9.64629 | 16.36654 | 20 |
5.03383 | 6.10881 | 7.40025 | 8.94917 | 10.80385 | 18.82152 | 21 |
5.43654 | 6.65860 | 8.14028 | 9.93357 | 12.10031 | 21.64475 | 22 |
5.87146 | 7.25787 | 8.95430 | 11.02627 | 13.55235 | 24.89146 | 23 |
6.34118 | 7.91108 | 9.84973 | 12.23916 | 15.17863 | 28.62518 | 24 |
6.84847 | 8.62308 | 10.83471 | 13.58546 | 17.00000 | 32.91895 | 25 |
7.39635 | 9.39916 | 11.91818 | 15.07986 | 19.04007 | 37.85680 | 26 |
7.98806 | 10.24508 | 13.10999 | 16.73865 | 21.32488 | 43.53532 | 27 |
8.62711 | 11.16714 | 14.42099 | 18.57990 | 23.88387 | 50.06561 | 28 |
9.31727 | 12.17218 | 15.86309 | 20.62369 | 26.74993 | 57.57545 | 29 |
10.06266 | 13.26768 | 17.44940 | 22.89230 | 29.95992 | 66.21177 | 30 |
10.86767 | 14.46177 | 19.19434 | 25.41045 | 33.55511 | 76.14354 | 31 |
11.73708 | 15.76333 | 21.11378 | 28.20560 | 37.58173 | 87.56507 | 32 |
12.67605 | 17.18203 | 23.22515 | 31.30821 | 42.09153 | 100.69983 | 33 |
13.69013 | 18.72841 | 25.54767 | 34.75212 | 47.14252 | 115.80480 | 34 |
14.78534 | 20.41397 | 28.10244 | 38.57485 | 52.79962 | 133.17552 | 35 |
15.96817 | 22.25123 | 30.91268 | 42.81808 | 59.13557 | 153.15185 | 36 |
17.24563 | 24.25384 | 34.00395 | 47.52807 | 66.23184 | 176.12463 | 37 |
18.62528 | 26.43668 | 37.40434 | 52.75616 | 74.17966 | 202.54332 | 38 |
20.11530 | 28.81598 | 41.14479 | 58.55934 | 83.08122 | 232.92482 | 39 |
21.72452 | 31.40942 | 45.25926 | 65.00087 | 93.05097 | 267.86355 | 40 |
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