Question
The following information is available concerning a potential investment project: Initial Investment .............. $77,200 Annual cost savings ............. ? Cost of Capital ................. 20% Life
The following information is available concerning a potential investment project: Initial Investment .............. $77,200 Annual cost savings ............. ? Cost of Capital ................. 20% Life of project ................. 6 years The net present value of this investment was calculated to be $9,263. Calculate the amount of the annual cost savings associated with this investment. Do not use decimals in your answer.
| Future Value of a Lump-Sum |
| Rate of interest per period in percent | |||||||||
Periods | 3% | 4% | 5% | 6% | 8% | 9% | 10% | 12% | 14% | 16% |
3 | 1.0927 | 1.1249 | 1.1576 | 1.1910 | 1.2597 | 1.2950 | 1.3310 | 1.4049 | 1.4815 | 1.5609 |
4 | 1.1255 | 1.1699 | 1.2155 | 1.2625 | 1.3605 | 1.4116 | 1.4641 | 1.5735 | 1.6890 | 1.8106 |
5 | 1.1593 | 1.2167 | 1.2783 | 1.3382 | 1.4693 | 1.5386 | 1.6105 | 1.7623 | 1.9254 | 2.1003 |
6 | 1.1941 | 1.2653 | 1.3401 | 1.4185 | 1.5869 | 1.6771 | 1.7716 | 1.9738 | 2.1950 | 2.4364 |
7 | 1.2299 | 1.3159 | 1.4071 | 1.5036 | 1.7138 | 1.8280 | 1.9487 | 2.2107 | 2.5023 | 2.8262 |
8 | 1.2668 | 1.3686 | 1.4775 | 1.5939 | 1.8510 | 1.9926 | 2.1436 | 2.4760 | 2.8526 | 3.2784 |
9 | 1.3048 | 1.4233 | 1.5513 | 1.6895 | 1.9990 | 2.1719 | 2.3580 | 2.7731 | 3.2519 | 3.8030 |
10 | 1.3439 | 1.4802 | 1.6289 | 1.7909 | 2.1589 | 2.3674 | 2.5938 | 3.1059 | 3.7072 | 4.4114 |
12 | 1.4258 | 1.6010 | 1.7959 | 2.0122 | 2.5182 | 2.8127 | 3.1384 | 3.8960 | 4.8179 | 5.9360 |
15 | 1.5580 | 1.8009 | 2.0789 | 2.3965 | 3.1722 | 3.6425 | 4.1773 | 5.4736 | 7.1379 | 9.2655 |
16 | 1.6047 | 1.8730 | 2.1829 | 2.5404 | 3.4259 | 3.9703 | 4.5950 | 6.1304 | 8.1372 | 10.7480 |
17 | 1.6529 | 1.9479 | 2.2920 | 2.6928 | 3.7000 | 4.3276 | 5.0545 | 6.8660 | 9.2765 | 12.4677 |
18 | 1.7024 | 2.0258 | 2.4066 | 2.8543 | 3.9960 | 4.7171 | 5.5599 | 7.6900 | 10.5752 | 14.4625 |
19 | 1.7535 | 2.1069 | 2.5270 | 3.0256 | 4.3157 | 5.1417 | 6.1159 | 8.6128 | 12.0557 | 16.7765 |
20 | 1.8061 | 2.1911 | 2.6533 | 3.2071 | 4.6610 | 5.6044 | 6.7275 | 9.6463 | 13.7435 | 19.4608 |
21 | 1.8603 | 2.2788 | 2.7860 | 3.3996 | 5.0338 | 6.1088 | 7.4003 | 10.8039 | 15.6676 | 22.5745 |
22 | 1.9161 | 2.3699 | 2.9253 | 3.6035 | 5.4365 | 6.6586 | 8.1403 | 12.1003 | 17.8610 | 26.1864 |
23 | 1.9736 | 2.4647 | 3.0715 | 3.8198 | 5.8715 | 7.2579 | 8.9543 | 13.5524 | 20.3616 | 30.3762 |
24 | 2.0325 | 2.5633 | 3.2251 | 4.0489 | 6.3412 | 7.9111 | 9.8497 | 15.1786 | 23.2122 | 35.2364 |
25 | 2.0938 | 2.6658 | 3.3864 | 4.2919 | 6.8485 | 8.6230 | 10.8347 | 17.0000 | 26.4619 | 40.8742 |
60 | 5.8916 | 10.5196 | 18.6792 | 32.9877 | 101.257 | 176.031 | 304.482 | 897.597 | 2595.92 | 7370.20 |
| Present Value of a Lump-Sum |
| Rate of interest per period in percent | |||||||||
Periods | 3% | 5% | 6% | 8% | 9% | 10% | 12% | 14% | 15% | 20% |
3 | 0.9151 | 0.8638 | 0.8396 | 0.7938 | 0.7722 | 0.7513 | 0.7118 | 0.6750 | 0.6575 | 0.5787 |
4 | 0.8885 | 0.8227 | 0.7921 | 0.7350 | 0.7084 | 0.6830 | 0.6355 | 0.5921 | 0.5718 | 0.4823 |
5 | 0.8626 | 0.7835 | 0.7473 | 0.6806 | 0.6499 | 0.6209 | 0.5674 | 0.5194 | 0.4972 | 0.4019 |
6 | 0.8375 | 0.7462 | 0.7050 | 0.6311 | 0.5963 | 0.5645 | 0.5066 | 0.4556 | 0.4323 | 0.3349 |
7 | 0.8131 | 0.7107 | 0.6651 | 0.5835 | 0.5470 | 0.5132 | 0.4523 | 0.3996 | 0.3759 | 0.2791 |
8 | 0.7894 | 0.6768 | 0.6274 | 0.5403 | 0.5019 | 0.4665 | 0.4039 | 0.3506 | 0.3269 | 0.2326 |
9 | 0.7664 | 0.6446 | 0.5919 | 0.5003 | 0.4604 | 0.4241 | 0.3606 | 0.3075 | 0.2843 | 0.1938 |
10 | 0.7441 | 0.6139 | 0.5584 | 0.4632 | 0.4224 | 0.3855 | 0.3220 | 0.2697 | 0.2472 | 0.1615 |
12 | 0.7014 | 0.5568 | 0.4970 | 0.3971 | 0.3555 | 0.3186 | 0.2567 | 0.2076 | 0.1869 | 0.1122 |
15 | 0.6419 | 0.4810 | 0.4173 | 0.3152 | 0.2745 | 0.2394 | 0.1827 | 0.1401 | 0.1229 | 0.0649 |
16 | 0.6232 | 0.4581 | 0.3937 | 0.2919 | 0.2519 | 0.2176 | 0.1631 | 0.1229 | 0.1069 | 0.0541 |
17 | 0.6050 | 0.4363 | 0.3714 | 0.2703 | 0.2311 | 0.1978 | 0.1456 | 0.1078 | 0.0929 | 0.0471 |
18 | 0.5874 | 0.4155 | 0.3503 | 0.2503 | 0.2120 | 0.1799 | 0.1300 | 0.0946 | 0.0808 | 0.0376 |
19 | 0.5703 | 0.3957 | 0.3305 | 0.2317 | 0.1945 | 0.1635 | 0.1161 | 0.0829 | 0.0703 | 0.0313 |
20 | 0.5537 | 0.3769 | 0.3118 | 0.2146 | 0.1784 | 0.1486 | 0.1037 | 0.0728 | 0.0611 | 0.0261 |
21 | 0.5375 | 0.3589 | 0.2942 | 0.1987 | 0.1637 | 0.1351 | 0.0926 | 0.0638 | 0.0531 | 0.0217 |
24 | 0.4920 | 0.3101 | 0.2470 | 0.1577 | 0.1264 | 0.1015 | 0.0659 | 0.0431 | 0.0349 | 0.0126 |
25 | 0.4776 | 0.2953 | 0.2330 | 0.1460 | 0.1160 | 0.0923 | 0.0588 | 0.0378 | 0.0304 | 0.0105 |
| Future Value of an Annuity |
| Rate of interest per period in percent | |||||||||
Periods | 3% | 4% | 5% | 6% | 8% | 9% | 10% | 12% | 14% | 16% |
3 | 3.0909 | 3.1216 | 3.1525 | 3.1836 | 3.2464 | 3.2781 | 3.3100 | 3.3744 | 3.4396 | 3.5056 |
4 | 4.1836 | 4.2465 | 4.3101 | 4.3746 | 4.5061 | 4.5731 | 4.6410 | 4.7793 | 4.9211 | 5.0665 |
5 | 5.3091 | 5.4163 | 5.5256 | 5.6371 | 5.8667 | 5.9847 | 6.1051 | 6.3529 | 6.6101 | 6.8771 |
6 | 6.4684 | 6.6330 | 6.8019 | 6.9753 | 7.3359 | 7.5233 | 7.7156 | 8.1152 | 8.5355 | 8.9775 |
7 | 7.6625 | 7.8983 | 8.1420 | 8.3938 | 8.9228 | 9.2004 | 9.4872 | 10.0890 | 10.7305 | 11.4139 |
8 | 8.8923 | 9.2142 | 9.5491 | 9.8975 | 10.6366 | 11.0285 | 11.4359 | 12.2997 | 13.2328 | 14.2401 |
9 | 10.1591 | 10.5828 | 11.0266 | 11.4913 | 12.4876 | 13.0210 | 13.5795 | 14.7757 | 16.0853 | 17.5185 |
10 | 11.4639 | 12.0061 | 12.5779 | 13.1808 | 14.4866 | 15.1929 | 15.9374 | 17.5487 | 19.3373 | 21.3215 |
12 | 14.1920 | 15.0258 | 15.9171 | 16.8699 | 18.9771 | 20.1407 | 21.3843 | 24.1331 | 27.2707 | 30.8502 |
15 | 18.5990 | 20.0236 | 21.5786 | 23.2760 | 27.1521 | 29.3609 | 31.7725 | 37.2797 | 43.8424 | 51.6595 |
16 | 20.1569 | 21.8245 | 23.6575 | 25.6725 | 30.3243 | 33.0034 | 35.9497 | 42.7533 | 50.9804 | 60.9250 |
17 | 21.7616 | 23.6975 | 25.8404 | 28.2129 | 33.7502 | 36.9737 | 40.5447 | 48.8837 | 59.1176 | 71.6730 |
18 | 23.4144 | 25.6454 | 28.1324 | 30.9057 | 37.4502 | 41.3013 | 45.5992 | 55.7497 | 68.3941 | 84.1407 |
19 | 25.1169 | 27.6712 | 30.5390 | 33.7560 | 41.4463 | 46.0185 | 51.1591 | 63.4397 | 78.9692 | 98.6032 |
20 | 26.8704 | 29.7781 | 33.0660 | 36.7856 | 45.7620 | 51.1601 | 57.2750 | 72.0524 | 91.0249 | 115.380 |
21 | 28.6765 | 31.9692 | 35.7193 | 39.9928 | 50.4229 | 56.7645 | 64.0025 | 81.6987 | 104.768 | 134.841 |
22 | 30.5368 | 34.2480 | 38.5052 | 43.3923 | 55.4568 | 62.8733 | 71.4028 | 92.5026 | 120.436 | 157.415 |
23 | 32.4529 | 36.6179 | 41.4305 | 46.9958 | 60.8933 | 69.5319 | 79.5430 | 104.603 | 138.297 | 183.601 |
24 | 34.4265 | 39.0826 | 44.5020 | 50.8156 | 66.7648 | 76.7898 | 88.4973 | 118.155 | 158.659 | 213.978 |
25 | 36.4593 | 41.6459 | 47.7271 | 54.8645 | 73.1059 | 84.7009 | 98.3471 | 133.333 | 181.871 | 249.214 |
60 | 163.053 | 237.991 | 353.584 | 533.128 | 1253.21 | 1944.79 | 3034.82 | 7471.64 | 18535.1 | 46057.5 |
| Present Value of an Annuity |
| Rate of interest per period in percent | |||||||||
Periods | % | 3% | 5% | 6% | 8% | 9% | 10% | 12% | 15% | 20% |
3 | 2.9703 | 2.8286 | 2.7233 | 2.6730 | 2.5771 | 2.5313 | 2.4869 | 2.4018 | 2.2832 | 2.1065 |
4 | 3.9505 | 3.7171 | 3.5460 | 3.4651 | 3.3121 | 3.2397 | 3.1699 | 3.0374 | 2.8550 | 2.5887 |
5 | 4.9259 | 4.5797 | 4.3295 | 4.2124 | 3.9927 | 3.8897 | 3.7908 | 3.6048 | 3.3522 | 2.9906 |
6 | 5.8964 | 5.4172 | 5.0757 | 4.9173 | 4.6229 | 4.4859 | 4.3553 | 4.1114 | 3.7845 | 3.3255 |
7 | 6.8621 | 6.2303 | 5.7864 | 5.5824 | 5.2064 | 5.0330 | 4.8684 | 4.5638 | 4.1604 | 3.6046 |
8 | 7.8230 | 7.0197 | 6.4632 | 6.2098 | 5.7466 | 5.5348 | 5.3349 | 4.9676 | 4.4873 | 3.8372 |
9 | 8.7791 | 7.7861 | 7.1078 | 6.8017 | 6.2469 | 5.9953 | 5.7590 | 5.3283 | 4.7716 | 4.0310 |
10 | 9.7304 | 8.5302 | 7.7217 | 7.3601 | 6.7101 | 6.4177 | 6.1446 | 5.6502 | 5.0188 | 4.1925 |
12 | 11.6189 | 9.9540 | 8.8633 | 8.3838 | 7.5361 | 7.1607 | 6.8137 | 6.1944 | 5.4206 | 4.4392 |
15 | 14.4166 | 11.9379 | 10.3797 | 9.7123 | 8.5595 | 8.0607 | 7.6061 | 6.8109 | 5.8474 | 4.6755 |
16 | 15.3399 | 12.5611 | 10.8378 | 10.1059 | 8.8514 | 8.3126 | 7.8237 | 6.9740 | 5.9542 | 4.7296 |
17 | 16.2586 | 13.1661 | 11.2741 | 10.4773 | 9.1216 | 8.5436 | 8.0215 | 7.1196 | 6.0472 | 4.7746 |
18 | 17.1728 | 13.7535 | 11.6896 | 10.8276 | 9.3719 | 8.7556 | 8.2014 | 7.2497 | 6.1280 | 4.8122 |
19 | 18.0824 | 14.3238 | 12.0853 | 11.1581 | 9.6036 | 8.9501 | 8.3649 | 7.3658 | 6.1982 | 4.8435 |
20 | 18.9874 | 14.8775 | 12.4622 | 11.4699 | 9.8182 | 9.1286 | 8.5135 | 7.4694 | 6.2593 | 4.8696 |
21 | 19.8880 | 15.4150 | 12.8212 | 11.7641 | 10.0168 | 9.2922 | 8.6487 | 7.5620 | 6.3125 | 4.8913 |
25 | 23.4456 | 17.4132 | 14.0939 | 12.7834 | 10.6748 | 9.8226 | 9.0770 | 7.8431 | 6.4641 | 4.9476 |
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