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Posted on Aug 22, 2024

A company decided to develop low-cost photo-voltaic solar-energy cells. It decided on two development choices: a fully automatic line for $800,000 capable of producing 200,000

A company decided to develop low-cost photo-voltaic solar-energy cells. It decided on two development choices: a fully automatic line for $800,000 capable of producing 200,000 cells/year for a profit of $1/cell, or a semi-automatic line for $500,000 capable of producing 120,000 cells/year for a profit $1/cell. It is estimated that both lines will last for five years and will have a book value at the end of the five years of 10 percent. Assume both lines will be working to 100 percent capacity. You are the PM for development. Please make all calculations with or without taxes. Show the ROI calculations for both machines, based on five-year life, 10 percent book value, and 33 percent taxes when applicable.

F. Show fixed and variable profit (including operating costs) breakeven point based on yearly volume for the first five years for both machines. Assuming i = 5%, 10 cents/cell cost to operate the automatic and 40 cents/cell to operate the semi-automatic machine. Selling price for both is $1/unit. Please make a plot of the breakeven sales point.

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1 Interest factors for Engineering Economy Sinking Fund Factor Equal Payments-To find A given P (A/P) 2 IVS ny 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 3 1 1.0100 1.0200 1.0300 1.0400 1.0500 1.0600 1.0700 1.0800 1.0900 1.1000 1.1100 1.1200 1.1300 1.1400 1.1500 1.1600 1.1700 1.1800 1.1900 1.2000 4 2 0.5075 0.5150 0.5226 0.5302 0.5378 0.5454 0.5531 0.5608 0.5685 0.5762 0.5839 0.5917 0.5995 0.6073 0.6151 0.6230 0.6308 0.6387 0.6466 0.6545 5 3 0.3400 0.3468 0.3535 0.3603 0.3672 0.3741 0.3811 0.3880 0.3951 0.4021 0.4092 0.4163 0.4235 0.4307 0.4380 0.4453 0.4526 0.4599 0.4673 0.4747 0.2563 0.2626 0.2690 0.2755 0.2820 0.2886 0.2952 0.3019 0.3087 0.3155 0.3223 0.3292 0.3362 0.3432 0.3503 0.3574 0.3645 0.3717 0.3790 0.3863 5 0.2060 0.2122 0.2184 0.2246 0.2310 0.2374 0.2439 0.2505 0.2571 0.2638 0.2706 0.2774 0.2843 0.2913 0.2983 0.3054 0.3126 0.3198 0.3271 0.3344 6 0.1725 0.1785 0.1846 0.1908 0.1970 0.2034 0.2098 0.2163 0.2229 0.2296 0.2364 0.2432 0.2502 0.2572 0.2642 0.2714 0.2786 0.2859 0.2933 0.3007 7 0.1486 0.1545 0.1605 0.1666 0.1728 0.1791 0.1856 0.1921 0.1987 0.2054 0.2122 0.2191 0.2261 0.2332 0.2404 0.2476 0.2549 0.2624 0.2699 0.2774 10 8 0.1307 0.1365 0.1425 0.1485 0.1547 0.1610 0.1675 0.1740 0.1807 0.1874 0.1943 0.2013 0.2084 0.2156 0.2229 0.2302 0.2377 0.2452 0.2529 0.2606 9 0.1167 0.1225 0.1284 0.1345 0.1407 0.1470 0.1535 0.1601 0.1668 0.1736 0.1806 0.1877 0.1949 0.2022 0.2096 0.2171 0.2247 0.2324 0.2402 0.2481 12 10 0.1056 0.1113 0.1172 0.1233 0.1295 0.1359 0.1424 0.1490 0.1558 0.1627 0.1698 0.1770 0.1843 0.1917 0.1993 0.2069 0.2147 0.2225 0.2305 0.2385 13 11 0.0965 0.1022 0.1081 0.1141 0.1204 0.1268 0.1334 0.1401 0.1469 0.1540 0.1611 0.1684 0.1758 0.1834 0.1911 0.1989 0.2068 0.2148 0.2229 0.2311 14 12 0.0888 0.0946 0.1005 0.1066 0.1128 0.1193 0.1259 0.1327 0.1397 0.1468 0.1540 0.1614 0.1690 0.1767 0.1845 0.1924 0.2005 0.2086 0.2169 0.2253 13 0.0824 0.0881 0.0940 0.1001 0.1065 0.1130 0.1197 0.1265 0.1336 0.1408 0.1482 0.1557 0.1634 0.1712 0.1791 0.1872 0.1954 0.2037 0.2121 0.2206 14 0.0769 0.0826 0.0885 0.0947 0.1010 0.1076 0.1143 0.1213 0.1284 0.1357 0.1432 0.1509 0.1587 0.1666 0.1747 0.1829 0.1912 0.1997 0.2082 0.2169 15 0.0721 0.0778 0.0838 0.0899 0.0963 0.1030 0.1098 0.1168 0.1241 0.1315 0.1391 0.1468 0.1547 0.1628 0.1710 0.1794 0.1878 0.1964 0.2051 0.2139 18 16 0.0679 0.0737 0.0796 0.0858 0.0923 0.0990 0.1059 0.1130 0.1203 0.1278 0.1355 0.1434 0.1514 0.1596 0.1679 0.1764 0.1850 0.1937 0.2025 0.2114 19 17 0.0643 0.0700 0.0760 0.0822 0.0887 0.0954 0.1024 0.1096 0.1170 0.1247 0.1325 0.1405 0.1486 0.1569 0.1654 0.1740 0.1827 0.1915 0.2004 0.2094 20 18 0.0610 0.0667 0.0727 0.0790 0.0855 0.0924 0.0994 0.1067 0.1142 0.1219 0.1298 0.1379 0.1462 0.1546 0.1632 0.1719 0.1807 0.1896 0.1987 0.2078 4 1 Interest factors for Engineering Economy Present Worth Factor Equal Payments-To find P given A (PIA) 2 IVS ny 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.885 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333 2 1.9704 1.9416 1.9135 1.8861 1.8594 1.8334 1.808 1.7833 1.7591 1.7355 1.7125 1.6901 1.6681 1.6467 1.6257 1.6052 1.5852 1.5656 1.5465 1.5278 3 2.941 2.8839 2.8286 2.7751 2.7232 2.673 2.6243 2.5771 2.5313 2.4869 2.4437 2.4018 2.3612 2.3216 2.2832 2.2459 2.2096 2.1743 2.1399 2.1065 3.902 3.8077 3.7171 3.6299 3.546 3.4651 3.3872 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 2.9137 2.855 2.7982 2.7432 2.6901 2.6386 2.5887 5 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6959 3.6048 3.5172 3.4331 3.3522 3.2743 3.1993 3.1272 3.0576 2.9906 6 5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.2305 4.1114 3.9975 3.8887 3.7845 3.6847 3.5892 3.4976 3.4098 3.3255 7 6.7282 6.472 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.033 4.8684 4.7122 4.5638 4.4226 4.2883 4.1604 4.0386 3.9224 3.8115 3.7057 3.6046 8 7.6517 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 5.1461 4.9676 4.7988 4.6389 4.4873 4.3436 4.2072 4.0776 3.9544 3.8372 9 8 .566 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.759 5.537 5.3282 5.1317 4.9464 4.7716 4.6065 4.4506 4.303 4.1633 4.031 10 9.4713 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 5.2161 5.0188 4.8332 4.6586 4.4941 4.3389 4.1925 11 10.368 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.139 6.8052 6.4951 6.2065 5.9377 5.6869 5.4527 5.2337 5.0286 4.8364 4.656 4.4865 4.3271 12 11.255 10.575 9.954 9.3851 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 6.4924 6.1944 5.9176 5.6603 5.4206 5.1971 4.9884 4.7932 4.6105 4.4392 13 12.134 11.348 10.635 9.9856 9.3936 8.8527 8.3577 7.9038 7.4869 7.1034 6.7499 6.4235 6.1218 5.8424 5.5831 5.3423 5.1183 4.9095 4.7147 4.5327 14 13.004 12.106 11.296 10.563 9.8986 9.295 8.7455 8.2442 7.7862 7.3667 6.9819 6.6282 6.3025 6.0021 5.7245 5.4675 5.2293 5.0081 4.8023 4.6106 15 13.865 12.849 11.938 11.118 10.38 9.7122 9.1079 8.5595 8.0607 7.6061 7.1909 6.8109 6.4624 6.1422 5.8474 5.5755 5.3242 5.0916 4.8759 4.6755 16 14.718 13.578 12.561 11.652 10.838 10.106 9.4466 8.8514 8.3126 7.8237 7.3792 6.974 6.6039 6.2651 5.9542 5.6685 5.4053 5.1624 4.9377 4.7296 17 15.562 14.292 13.166 12.166 11.274 10.477 9.7632 9.1216 8.5436 8.0216 7.5488 7.1196 6.7291 6.3729 6.0472 5.7487 5.4746 5.2223 4.9897 4.7746 20 18 16.398 14.992 13.754 12.659 11.69 10.828 10.059 9.3719 8.7556 8.2014 7.7016 7.2497 6.8399 6.4674 6.128 5.8178 5.5339 5.2732 5.0333 4.8122 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.6036 8.9501 8.3649 7.8393 7.3658 6.938 6.5504 6.1982 5.8775 5.5845 5.3162 5.07 4.8435 20 1 8.046 16.351 14.877 13.59 12.462 11.47 10.594 9.8181 9.1285 8.5136 7.9633 7.4694 7.0248 6.6231 6.2593 5.9288 5.6278 5.3527 5.1009 4.8696 covo Interest factors for Engineering Economy Compund Amount Factor single payment- To find F given P (F/P) I VS nY 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 1 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.1 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.2 1.0201 1.0404 1.0609 1.0816 1.1025 1.1236 1.1449 1.1664 1.1881 1.21 1.2321 1.2544 1.2769 1.2996 1.3225 1.3456 1.3689 1.3924 1.4161 1.44 3 1.0303 1.0612 1.0927 1.1249 1.1576 1.191 1.225 1.2597 1.295 1.331 1.3676 1.4049 1.4429 1.4815 1.5209 1.5609 1.6016 1.643 1.6852 1.728 1.0406 1.0824 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5181 1.5735 1.6305 1.689 1.749 1.8106 1.8739 1.9388 2.0053 2.0736 1.051 1.1041 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.6851 1.7623 1.8424 1.9254 2.0114 2.1003 2.1924 2.2878 2.3864 2.4883 1.0615 1.1262 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.8704 1.9738 2.082 2.195 2.3131 2.4364 2.5652 2.6996 2.8398 2.986 1.0721 1.1487 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.828 1.9487 2.0762 2.2107 2.3526 2.5023 2.66 2.8262 3.0012 3.1855 3.3793 3.5832 1.0829 1.1717 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.3045 2.476 2.6584 2.8526 3.059 3.2784 3.5115 3.7589 4.0214 4.2998 1.0937 1.1951 1.3048 1.4233 1.5513 1.6895 1.8385 1.999 2.1719 2.3579 2.558 2.7731 3.004 3.2519 3.5179 3.803 4.1084 4.4355 4.7854 5.1598 10 1.1046 1.219 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 2.8394 3.1058 3.3946 3.7072 4.0456 4.4114 4.8068 5.2338 5.6947 6.1917 11 1.1157 1.2434 1.3842 1.5395 1.7103 1.8983 2.1049 2.3316 2.5804 2.8531 3.1518 3.4785 3.8359 4.2262 4.6524 5.1173 5.624 6.1759 6.7767 7.4301 12 1.1268 1.2682 1.4258 1.601 1.7959 2.0122 2.2522 2.5182 2.8127 3.1384 3.4985 3.896 4.3345 4.8179 5.3503 5.936 6.5801 7.2876 8.0642 8.9161 131.1381 1.2936 1.4685 1.6651 1.8856 2.1329 2.4098 2.7196 3.0658 3.4523 3.8833 4.3635 4.898 5.4924 6.1528 6.8858 7.6987 8.5994 9.5964 10.699 14 1.1495 1.3195 1.5126 1.7317 1.9799 2.2609 2.5785 2.9372 3.3417 3.7975 4.3104 4.8871 5.5348 6.2613 7.0757 7.9875 9.0075 10.147 11.42 12.839 15 1.161 1.3459 1.558 1.8009 2.0789 2.3966 2.759 3.1722 3.6425 4.1772 4.7846 5.4736 6.2543 7.1379 8.1371 9.2655 10.539 11.974 13.59 15.407 16 1.1726 1.3728 1.6047 1.873 2.1829 2.5404 2.9522 3.4259 3.9703 4.595 5.3109 6.1304 7.0673 8.1372 9.3576 10.748 12.33 14.129 16.172 18.488 17 1.1843 1.4002 1.6528 1.9479 2.292 2.6928 3.1588 3.7 4.3276 5.0545 5.8951 6.866 7.9861 9.2765 10.761 12.468 14.426 16.672 19.244 22.186 18 1.1961 1.4282 1.7024 2.0258 2.4066 2.8543 3.3799 3.996 4.7171 5.5599 6.5436 7.69 9.0243 10.575 12.375 14.463 16.879 19.673 22.901 26.623 19 1.2081 1.4568 1.7535 2.1068 2.527 3.0256 3.6165 4.3157 5.1417 6.1159 7.2633 8.6128 10.197 12.056 14.232 16.777 19.748 23.214 27.252 31.948 20 1.2202 1.4859 1.8061 2.1911 2.6533 3.2071 3.8697 4.661 5.6044 6.7275 8.0623 9.6463 11.523 13.743 16.367 19.461 23.106 27.393 32.429 38.338 V A B C D E F G H I J K L M N O P Q R S T U 2 I VS nY 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 2 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 2.1 2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19 2.2 5 3 3.0301 3.0604 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.31 3.3421 3.3744 3.4069 3.4396 3.4725 3.5056 3.5389 3.5724 3.6061 3.64 4 4.0604 4.1216 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.641 4.7097 4.7793 4.8498 4.9211 4.9934 5.0665 5.1405 5.2154 5.2913 5.368 5 5 .101 5.204 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.2278 6.3528 6.4803 6.6101 6.7424 6.8771 7.0144 7.1542 7.2966 7.4416 6 6.152 6.3081 6.4684 6.633 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 7.9129 8.1152 8.3227 8.5355 8.7537 8.9775 9.2068 9.442 9.683 9.9299 12 8.3938 8.654 8.9228 9.2004 9.4872 9.7833 10.089 10.405 10.73 11.067 11.414 11.772 12.142 12.523 12.916 8.2857 8.583 8.8923 9.2142 9.5491 9.8975 10.26 10.637 11.028 11.436 11.859 12.3 12.757 13.233 13.727 14.24 14.773 15.327 15.902 16.499 9 9.3685 9.7546 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.579 14.164 14.776 15.416 16.085 16.786 17.519 18.285 19.086 19.923 20.799 12 10 10.462 10.95 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 16.722 17.549 18.42 19.337 20.304 21.321 22.393 23.521 24.709 25.959 14.207 14.972 15.784 16.645 17.56 18.531 19.561 20.655 21.814 23.045 24.349 25.733 27.2 28.755 30 14 12 12.683 13.412 14.192 15.026 15.917 16.87 17.888 18.977 20.141 21.384 22.713 24.133 25.65 27.271 29.002 30.85 32.824 34.931 37.18 39.581 13 13.809 14.68 15.618 16.627 17.713 18.882 20.141 21.495 22.953 24.523 26.212 28.029 29.985 32.089 34.352 36.786 39.404 42.219 45.244 48.497 14 14.947 15.974 17.086 18.292 19.599 21.015 22.55 24.215 26.019 27.975 30.095 32.393 34.883 37.581 40.505 43.672 47.103 50.818 54.841 59.196 17 15 16.097 17.293 18.599 20.024 21.579 23.276 25.129 27.152 29.361 31.772 34.405 37.28 40.417 43.842 47.58 51.66 56.11 60.965 66.261 72.035 18 16 17.258 18.639 20.157 21.825 23.657 25.673 27.888 30.324 33.003 35.95 39.19 42.753 46.672 50.98 55.717 60.925 66.649 72.939 79.85 87.442 19 17 18.43 20.012 21.762 23.698 25.84 28.213 30.84 33.75 36.974 40.545 44.501 48.884 53.739 59.118 65.075 71.673 78.979 87.068 96.022 105.93 20 18 19.615 21.412 23.414 25.645 28.132 30.906 33.999 37.45 41.301 45.599 50.396 55.75 61.725 68.394 75.836 84.141 93.406 103.74 115.27 128.12 21 1920.811 22.841 25.117 27.671 30.539 33.76 37.379 41.446 46.018 51.159 56.939 63.44 70.749 78.969 88.212 98.603 110.28 123.41 138.17 154.74 22 20 22.019 24.297 26.87 29.778 33.066 36.786 40.995 45.762 51.16 57.275 64.203 72.052 80.947 91.025 102.44 115.38 130.03 146.63 165.42 186.69 o n or 7000 7200 oC 200 200 272027 22 2020 ore 4 Interest factors for Engineering Economy Sinking Fund Factor Equal Payments-To find A given A (A/F) I VS ny 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 0.4975 0.4950 0.4926 0.4902 0.4878 0.4854 0.4831 0.4808 0.4785 0.4762 0.4739 0.4717 0.4695 0.4673 0.4651 0.4630 0.4608 0.4587 0.4566 0.4545 3 0.3300 0.3268 0.3235 0.3203 0.3172 0.3141 0.3111 0.3080 0.3051 0.3021 0.2992 0.2963 0.2935 0.2907 0.2880 0.2853 0.2826 0.2799 0.2773 0.2747 0.2463 0.2426 0.2390 0.2355 0.2320 0.2286 0.2252 0.2219 0.2187 0.2155 0.2123 0.2092 0.2062 0.2032 0.2003 0.1974 0.1945 0.1917 0.1890 0.1863 0.1960 0.1922 0.1884 0.1846 0.1810 0.1774 0.1739 0.1705 0.1671 0.1638 0.1606 0.1574 0.1543 0.1513 0.1483 0.1454 0.1426 0.1398 0.1371 0.1344 6 0.1625 0.1585 0.1546 0.1508 0.1470 0.1434 0.1398 0.1363 0.1329 0.1296 0.1264 0.1232 0.1202 0.1172 0.1142 0.1114 0.1086 0.1059 0.1033 0.1007 7 0.1386 0.1345 0.1305 0.1266 0.1228 0.1191 0.1156 0.1121 0.1087 0.1054 0.1022 0.0991 0.0961 0.0932 0.0904 0.0876 0.0849 0.0824 0.0799 0.0774 8 0.1207 0.1165 0.1125 0.1085 0.1047 0.1010 0.0975 0.0940 0.0907 0.0874 0.0843 0.0813 0.0784 0.0756 0.0729 0.0702 0.0677 0.0652 0.0629 0.0606 9 0.1067 0.1025 0.0984 0.0945 0.0907 0.0870 0.0835 0.0801 0.0768 0.0736 0.0706 0.0677 0.0649 0.0622 0.0596 0.0571 0.0547 0.0524 0.0502 0.0481 10 0.0956 0.0913 0.0872 0.0833 0.0795 0.0759 0.0724 0.0690 0.0658 0.0627 0.0598 0.0570 0.0543 0.0517 0.0493 0.0469 0.0447 0.0425 0.0405 0.0385 11 0.0865 0.0822 0.0781 0.0741 0.0704 0.0668 0.0634 0.0601 0.0569 0.0540 0.0511 0.0484 0.0458 0.0434 0.0411 0.0389 0.0368 0.0348 0.0329 0.0311 12 0.0788 0.0746 0.0705 0.0666 0.0628 0.0593 0.0559 0.0527 0.0497 0.0468 0.0440 0.0414 0.0390 0.0367 0.0345 0.0324 0.0305 0.0286 0.0269 0.0253 130.0724 0.0681 0.0640 0.0601 0.0565 0.0530 0.0497 0.0465 0.0436 0.0408 0.0382 0.0357 0.0334 0.0312 0.0291 0.0272 0.0254 0.0237 0.0221 0.0206 14 0.0669 0.0626 0.0585 0.0547 0.0510 0.0476 0.0443 0.0413 0.0384 0.0357 0.0332 0.0309 0.0287 0.0266 0.0247 0.0229 0.0212 0.0197 0.0182 0.0169 0.0621 0.0578 0.0538 0.0499 0.0463 0.0430 0.0398 0.0368 0.0341 0.0315 0.0291 0.0268 0.0247 0.0228 0.0210 0.0194 0.0178 0.0164 0.0151 0.0139 16 0.0579 0.0537 0.0496 0.0458 0.0423 0.0390 0.0359 0.0330 0.0303 0.0278 0.0255 0.0234 0.0214 0.0196 0.0179 0.0164 0.0150 0.0137 0.0125 0.0114 17 0.0543 0.0500 0.0460 0.0422 0.0387 0.0354 0.0324 0.0296 0.0270 0.0247 0.0225 0.0205 0.0186 0.0169 0.0154 0.0140 0.0127 0.0115 0.0104 0.0094 18 0.0510 0.0467 0.0427 0.0390 0.0355 0.0324 0.0294 0.0267 0.0242 0.0219 0.0198 0.0179 0.0162 0.0146 0.0132 0.0119 0.0107 0.0096 0.0087 0.0078 190.0481 0.0438 0.0398 0.0361 0.0327 0.0296 0.0268 0.0241 0.0217 0.0195 0.0176 0.0158 0.0141 0.0127 0.0113 0.0101 0.0091 0.0081 0.0072 0.0065 200.0454 0.0412 0.0372 0.0336 0.0302 0.0272 0.0244 0.0219 0.0195 0.0175 0.0156 0.0139 0.0124 0.0110 0.0098 0.0087 0.0077 0.0068 0.0060 0.0054 1 Interest factors for Engineering Economy Present Worth Factor single payment- To find P given F (P/F) 2 I VS nY 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 3 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.8 2 0.7831 0.7695 0.7561 0.7432 0.7305 0.7182 0.7062 0.6944 5 3 0.9706 0.9423 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7312 0.7118 0.6931 0.6750 0.6575 0.6407 0.6244 0.6086 0.5934 0.5787 4 0.9610 0.9238 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6587 0.6355 0.6133 0.5921 0.5718 0.5523 0.5337 0.5158 0.4987 0.4823 5 0.9515 0.9057 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5935 0.5674 0.5428 0.5194 0.4972 0.4761 0.4561 0.4371 0.4190 0.4019 0.9420 0.8880 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5346 0.5066 0.4803 0.4556 0.4323 0.4104 0.3898 0.3704 0.3521 0.3349 7 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4817 0.4523 0.4251 0.3996 0.3759 0.3538 0.3332 0.3139 0.2959 0.2791 10 8 0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4339 0.4039 0.3762 0.3506 0.3269 0.3050 0.2848 0.2660 0.2487 0.2326 11 9 0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3909 0.3606 0.3329 0.3075 0.2843 0.2630 0.2434 0.2255 0.2090 0.1938 12 10 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3522 0.3220 0.2946 0.2697 0.2472 0.2267 0.2080 0.1911 0.1756 0.1615 13 11 0.8963 0.8043 0.7224 0.6496 0.5847 0.5268 0.4751 0.4289 0.3875 0.3505 0.3173 0.2875 0.2607 0.2366 0.2149 0.1954 0.1778 0.1619 0.1476 0.1346 14 12 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.3186 0.2858 0.2567 0.2307 0.2076 0.1869 0.1685 0.1520 0.1372 0.1240 0.1122 15 130.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2575 0.2292 0.2042 0.1821 0.1625 0.1452 0.1299 0.1163 0.1042 0.0935 16 14 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.2633 0.2320 0.2046 0.1807 0.1597 0.1413 0.1252 0.1110 0.0985 0.0876 0.0779 15 0.8613 0.7430 0.6419 0.5553 0.4810 0.4173 0.3624 0.3152 0.2745 0.2394 0.2090 0.1827 0.1599 0.1401 0.1229 0.1079 0.0949 0.0835 0.0736 0.0649 18 16 0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1883 0.1631 0.1415 0.1229 0.1069 0.0930 0.0811 0.0708 0.0618 0.0541 19 17 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1696 0.1456 0.1252 0.1078 0.0929 0.0802 0.0693 0.0600 0.0520 0.0451 20 18 0.8360 0.7002 0.5874 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1528 0.1300 0.1108 0.0946 0.0808 0.0691 0.0592 0.0508 0.0437 0.0376 21 19 0.8277 0.6864 0.5703 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1377 0.1161 0.0981 0.0829 0.0703 0.0596 0.0506 0.0431 0.0367 0.0313 22 20 0.8195 0.6730 0.5537 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1240 0.1037 0.0868 0.0728 0.0611 0.0514 0.0433 0.0365 0.0308 0.0261 2 210114 ccoo nc70 A 200 con 0704224100 1007 1027 1201 1147 000 nozco o 20 C2404420270 0200 oca 017 1 Interest factors for Engineering Economy Sinking Fund Factor Equal Payments-To find A given P (A/P) 2 IVS ny 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 3 1 1.0100 1.0200 1.0300 1.0400 1.0500 1.0600 1.0700 1.0800 1.0900 1.1000 1.1100 1.1200 1.1300 1.1400 1.1500 1.1600 1.1700 1.1800 1.1900 1.2000 4 2 0.5075 0.5150 0.5226 0.5302 0.5378 0.5454 0.5531 0.5608 0.5685 0.5762 0.5839 0.5917 0.5995 0.6073 0.6151 0.6230 0.6308 0.6387 0.6466 0.6545 5 3 0.3400 0.3468 0.3535 0.3603 0.3672 0.3741 0.3811 0.3880 0.3951 0.4021 0.4092 0.4163 0.4235 0.4307 0.4380 0.4453 0.4526 0.4599 0.4673 0.4747 0.2563 0.2626 0.2690 0.2755 0.2820 0.2886 0.2952 0.3019 0.3087 0.3155 0.3223 0.3292 0.3362 0.3432 0.3503 0.3574 0.3645 0.3717 0.3790 0.3863 5 0.2060 0.2122 0.2184 0.2246 0.2310 0.2374 0.2439 0.2505 0.2571 0.2638 0.2706 0.2774 0.2843 0.2913 0.2983 0.3054 0.3126 0.3198 0.3271 0.3344 6 0.1725 0.1785 0.1846 0.1908 0.1970 0.2034 0.2098 0.2163 0.2229 0.2296 0.2364 0.2432 0.2502 0.2572 0.2642 0.2714 0.2786 0.2859 0.2933 0.3007 7 0.1486 0.1545 0.1605 0.1666 0.1728 0.1791 0.1856 0.1921 0.1987 0.2054 0.2122 0.2191 0.2261 0.2332 0.2404 0.2476 0.2549 0.2624 0.2699 0.2774 10 8 0.1307 0.1365 0.1425 0.1485 0.1547 0.1610 0.1675 0.1740 0.1807 0.1874 0.1943 0.2013 0.2084 0.2156 0.2229 0.2302 0.2377 0.2452 0.2529 0.2606 9 0.1167 0.1225 0.1284 0.1345 0.1407 0.1470 0.1535 0.1601 0.1668 0.1736 0.1806 0.1877 0.1949 0.2022 0.2096 0.2171 0.2247 0.2324 0.2402 0.2481 12 10 0.1056 0.1113 0.1172 0.1233 0.1295 0.1359 0.1424 0.1490 0.1558 0.1627 0.1698 0.1770 0.1843 0.1917 0.1993 0.2069 0.2147 0.2225 0.2305 0.2385 13 11 0.0965 0.1022 0.1081 0.1141 0.1204 0.1268 0.1334 0.1401 0.1469 0.1540 0.1611 0.1684 0.1758 0.1834 0.1911 0.1989 0.2068 0.2148 0.2229 0.2311 14 12 0.0888 0.0946 0.1005 0.1066 0.1128 0.1193 0.1259 0.1327 0.1397 0.1468 0.1540 0.1614 0.1690 0.1767 0.1845 0.1924 0.2005 0.2086 0.2169 0.2253 13 0.0824 0.0881 0.0940 0.1001 0.1065 0.1130 0.1197 0.1265 0.1336 0.1408 0.1482 0.1557 0.1634 0.1712 0.1791 0.1872 0.1954 0.2037 0.2121 0.2206 14 0.0769 0.0826 0.0885 0.0947 0.1010 0.1076 0.1143 0.1213 0.1284 0.1357 0.1432 0.1509 0.1587 0.1666 0.1747 0.1829 0.1912 0.1997 0.2082 0.2169 15 0.0721 0.0778 0.0838 0.0899 0.0963 0.1030 0.1098 0.1168 0.1241 0.1315 0.1391 0.1468 0.1547 0.1628 0.1710 0.1794 0.1878 0.1964 0.2051 0.2139 18 16 0.0679 0.0737 0.0796 0.0858 0.0923 0.0990 0.1059 0.1130 0.1203 0.1278 0.1355 0.1434 0.1514 0.1596 0.1679 0.1764 0.1850 0.1937 0.2025 0.2114 19 17 0.0643 0.0700 0.0760 0.0822 0.0887 0.0954 0.1024 0.1096 0.1170 0.1247 0.1325 0.1405 0.1486 0.1569 0.1654 0.1740 0.1827 0.1915 0.2004 0.2094 20 18 0.0610 0.0667 0.0727 0.0790 0.0855 0.0924 0.0994 0.1067 0.1142 0.1219 0.1298 0.1379 0.1462 0.1546 0.1632 0.1719 0.1807 0.1896 0.1987 0.2078 4 1 Interest factors for Engineering Economy Present Worth Factor Equal Payments-To find P given A (PIA) 2 IVS ny 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.885 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333 2 1.9704 1.9416 1.9135 1.8861 1.8594 1.8334 1.808 1.7833 1.7591 1.7355 1.7125 1.6901 1.6681 1.6467 1.6257 1.6052 1.5852 1.5656 1.5465 1.5278 3 2.941 2.8839 2.8286 2.7751 2.7232 2.673 2.6243 2.5771 2.5313 2.4869 2.4437 2.4018 2.3612 2.3216 2.2832 2.2459 2.2096 2.1743 2.1399 2.1065 3.902 3.8077 3.7171 3.6299 3.546 3.4651 3.3872 3.3121 3.2397 3.1699 3.1024 3.0373 2.9745 2.9137 2.855 2.7982 2.7432 2.6901 2.6386 2.5887 5 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 3.7908 3.6959 3.6048 3.5172 3.4331 3.3522 3.2743 3.1993 3.1272 3.0576 2.9906 6 5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.2305 4.1114 3.9975 3.8887 3.7845 3.6847 3.5892 3.4976 3.4098 3.3255 7 6.7282 6.472 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.033 4.8684 4.7122 4.5638 4.4226 4.2883 4.1604 4.0386 3.9224 3.8115 3.7057 3.6046 8 7.6517 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 5.1461 4.9676 4.7988 4.6389 4.4873 4.3436 4.2072 4.0776 3.9544 3.8372 9 8 .566 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.759 5.537 5.3282 5.1317 4.9464 4.7716 4.6065 4.4506 4.303 4.1633 4.031 10 9.4713 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.8892 5.6502 5.4262 5.2161 5.0188 4.8332 4.6586 4.4941 4.3389 4.1925 11 10.368 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.139 6.8052 6.4951 6.2065 5.9377 5.6869 5.4527 5.2337 5.0286 4.8364 4.656 4.4865 4.3271 12 11.255 10.575 9.954 9.3851 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 6.4924 6.1944 5.9176 5.6603 5.4206 5.1971 4.9884 4.7932 4.6105 4.4392 13 12.134 11.348 10.635 9.9856 9.3936 8.8527 8.3577 7.9038 7.4869 7.1034 6.7499 6.4235 6.1218 5.8424 5.5831 5.3423 5.1183 4.9095 4.7147 4.5327 14 13.004 12.106 11.296 10.563 9.8986 9.295 8.7455 8.2442 7.7862 7.3667 6.9819 6.6282 6.3025 6.0021 5.7245 5.4675 5.2293 5.0081 4.8023 4.6106 15 13.865 12.849 11.938 11.118 10.38 9.7122 9.1079 8.5595 8.0607 7.6061 7.1909 6.8109 6.4624 6.1422 5.8474 5.5755 5.3242 5.0916 4.8759 4.6755 16 14.718 13.578 12.561 11.652 10.838 10.106 9.4466 8.8514 8.3126 7.8237 7.3792 6.974 6.6039 6.2651 5.9542 5.6685 5.4053 5.1624 4.9377 4.7296 17 15.562 14.292 13.166 12.166 11.274 10.477 9.7632 9.1216 8.5436 8.0216 7.5488 7.1196 6.7291 6.3729 6.0472 5.7487 5.4746 5.2223 4.9897 4.7746 20 18 16.398 14.992 13.754 12.659 11.69 10.828 10.059 9.3719 8.7556 8.2014 7.7016 7.2497 6.8399 6.4674 6.128 5.8178 5.5339 5.2732 5.0333 4.8122 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.6036 8.9501 8.3649 7.8393 7.3658 6.938 6.5504 6.1982 5.8775 5.5845 5.3162 5.07 4.8435 20 1 8.046 16.351 14.877 13.59 12.462 11.47 10.594 9.8181 9.1285 8.5136 7.9633 7.4694 7.0248 6.6231 6.2593 5.9288 5.6278 5.3527 5.1009 4.8696 covo Interest factors for Engineering Economy Compund Amount Factor single payment- To find F given P (F/P) I VS nY 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 1 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.1 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.2 1.0201 1.0404 1.0609 1.0816 1.1025 1.1236 1.1449 1.1664 1.1881 1.21 1.2321 1.2544 1.2769 1.2996 1.3225 1.3456 1.3689 1.3924 1.4161 1.44 3 1.0303 1.0612 1.0927 1.1249 1.1576 1.191 1.225 1.2597 1.295 1.331 1.3676 1.4049 1.4429 1.4815 1.5209 1.5609 1.6016 1.643 1.6852 1.728 1.0406 1.0824 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5181 1.5735 1.6305 1.689 1.749 1.8106 1.8739 1.9388 2.0053 2.0736 1.051 1.1041 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.6851 1.7623 1.8424 1.9254 2.0114 2.1003 2.1924 2.2878 2.3864 2.4883 1.0615 1.1262 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.8704 1.9738 2.082 2.195 2.3131 2.4364 2.5652 2.6996 2.8398 2.986 1.0721 1.1487 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.828 1.9487 2.0762 2.2107 2.3526 2.5023 2.66 2.8262 3.0012 3.1855 3.3793 3.5832 1.0829 1.1717 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.3045 2.476 2.6584 2.8526 3.059 3.2784 3.5115 3.7589 4.0214 4.2998 1.0937 1.1951 1.3048 1.4233 1.5513 1.6895 1.8385 1.999 2.1719 2.3579 2.558 2.7731 3.004 3.2519 3.5179 3.803 4.1084 4.4355 4.7854 5.1598 10 1.1046 1.219 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 2.8394 3.1058 3.3946 3.7072 4.0456 4.4114 4.8068 5.2338 5.6947 6.1917 11 1.1157 1.2434 1.3842 1.5395 1.7103 1.8983 2.1049 2.3316 2.5804 2.8531 3.1518 3.4785 3.8359 4.2262 4.6524 5.1173 5.624 6.1759 6.7767 7.4301 12 1.1268 1.2682 1.4258 1.601 1.7959 2.0122 2.2522 2.5182 2.8127 3.1384 3.4985 3.896 4.3345 4.8179 5.3503 5.936 6.5801 7.2876 8.0642 8.9161 131.1381 1.2936 1.4685 1.6651 1.8856 2.1329 2.4098 2.7196 3.0658 3.4523 3.8833 4.3635 4.898 5.4924 6.1528 6.8858 7.6987 8.5994 9.5964 10.699 14 1.1495 1.3195 1.5126 1.7317 1.9799 2.2609 2.5785 2.9372 3.3417 3.7975 4.3104 4.8871 5.5348 6.2613 7.0757 7.9875 9.0075 10.147 11.42 12.839 15 1.161 1.3459 1.558 1.8009 2.0789 2.3966 2.759 3.1722 3.6425 4.1772 4.7846 5.4736 6.2543 7.1379 8.1371 9.2655 10.539 11.974 13.59 15.407 16 1.1726 1.3728 1.6047 1.873 2.1829 2.5404 2.9522 3.4259 3.9703 4.595 5.3109 6.1304 7.0673 8.1372 9.3576 10.748 12.33 14.129 16.172 18.488 17 1.1843 1.4002 1.6528 1.9479 2.292 2.6928 3.1588 3.7 4.3276 5.0545 5.8951 6.866 7.9861 9.2765 10.761 12.468 14.426 16.672 19.244 22.186 18 1.1961 1.4282 1.7024 2.0258 2.4066 2.8543 3.3799 3.996 4.7171 5.5599 6.5436 7.69 9.0243 10.575 12.375 14.463 16.879 19.673 22.901 26.623 19 1.2081 1.4568 1.7535 2.1068 2.527 3.0256 3.6165 4.3157 5.1417 6.1159 7.2633 8.6128 10.197 12.056 14.232 16.777 19.748 23.214 27.252 31.948 20 1.2202 1.4859 1.8061 2.1911 2.6533 3.2071 3.8697 4.661 5.6044 6.7275 8.0623 9.6463 11.523 13.743 16.367 19.461 23.106 27.393 32.429 38.338 V A B C D E F G H I J K L M N O P Q R S T U 2 I VS nY 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 2 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 2.1 2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19 2.2 5 3 3.0301 3.0604 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.31 3.3421 3.3744 3.4069 3.4396 3.4725 3.5056 3.5389 3.5724 3.6061 3.64 4 4.0604 4.1216 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.641 4.7097 4.7793 4.8498 4.9211 4.9934 5.0665 5.1405 5.2154 5.2913 5.368 5 5 .101 5.204 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.2278 6.3528 6.4803 6.6101 6.7424 6.8771 7.0144 7.1542 7.2966 7.4416 6 6.152 6.3081 6.4684 6.633 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 7.9129 8.1152 8.3227 8.5355 8.7537 8.9775 9.2068 9.442 9.683 9.9299 12 8.3938 8.654 8.9228 9.2004 9.4872 9.7833 10.089 10.405 10.73 11.067 11.414 11.772 12.142 12.523 12.916 8.2857 8.583 8.8923 9.2142 9.5491 9.8975 10.26 10.637 11.028 11.436 11.859 12.3 12.757 13.233 13.727 14.24 14.773 15.327 15.902 16.499 9 9.3685 9.7546 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.579 14.164 14.776 15.416 16.085 16.786 17.519 18.285 19.086 19.923 20.799 12 10 10.462 10.95 11.464 12.006 12.578 13.181 13.816 14.487 15.193 15.937 16.722 17.549 18.42 19.337 20.304 21.321 22.393 23.521 24.709 25.959 14.207 14.972 15.784 16.645 17.56 18.531 19.561 20.655 21.814 23.045 24.349 25.733 27.2 28.755 30 14 12 12.683 13.412 14.192 15.026 15.917 16.87 17.888 18.977 20.141 21.384 22.713 24.133 25.65 27.271 29.002 30.85 32.824 34.931 37.18 39.581 13 13.809 14.68 15.618 16.627 17.713 18.882 20.141 21.495 22.953 24.523 26.212 28.029 29.985 32.089 34.352 36.786 39.404 42.219 45.244 48.497 14 14.947 15.974 17.086 18.292 19.599 21.015 22.55 24.215 26.019 27.975 30.095 32.393 34.883 37.581 40.505 43.672 47.103 50.818 54.841 59.196 17 15 16.097 17.293 18.599 20.024 21.579 23.276 25.129 27.152 29.361 31.772 34.405 37.28 40.417 43.842 47.58 51.66 56.11 60.965 66.261 72.035 18 16 17.258 18.639 20.157 21.825 23.657 25.673 27.888 30.324 33.003 35.95 39.19 42.753 46.672 50.98 55.717 60.925 66.649 72.939 79.85 87.442 19 17 18.43 20.012 21.762 23.698 25.84 28.213 30.84 33.75 36.974 40.545 44.501 48.884 53.739 59.118 65.075 71.673 78.979 87.068 96.022 105.93 20 18 19.615 21.412 23.414 25.645 28.132 30.906 33.999 37.45 41.301 45.599 50.396 55.75 61.725 68.394 75.836 84.141 93.406 103.74 115.27 128.12 21 1920.811 22.841 25.117 27.671 30.539 33.76 37.379 41.446 46.018 51.159 56.939 63.44 70.749 78.969 88.212 98.603 110.28 123.41 138.17 154.74 22 20 22.019 24.297 26.87 29.778 33.066 36.786 40.995 45.762 51.16 57.275 64.203 72.052 80.947 91.025 102.44 115.38 130.03 146.63 165.42 186.69 o n or 7000 7200 oC 200 200 272027 22 2020 ore 4 Interest factors for Engineering Economy Sinking Fund Factor Equal Payments-To find A given A (A/F) I VS ny 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 0.4975 0.4950 0.4926 0.4902 0.4878 0.4854 0.4831 0.4808 0.4785 0.4762 0.4739 0.4717 0.4695 0.4673 0.4651 0.4630 0.4608 0.4587 0.4566 0.4545 3 0.3300 0.3268 0.3235 0.3203 0.3172 0.3141 0.3111 0.3080 0.3051 0.3021 0.2992 0.2963 0.2935 0.2907 0.2880 0.2853 0.2826 0.2799 0.2773 0.2747 0.2463 0.2426 0.2390 0.2355 0.2320 0.2286 0.2252 0.2219 0.2187 0.2155 0.2123 0.2092 0.2062 0.2032 0.2003 0.1974 0.1945 0.1917 0.1890 0.1863 0.1960 0.1922 0.1884 0.1846 0.1810 0.1774 0.1739 0.1705 0.1671 0.1638 0.1606 0.1574 0.1543 0.1513 0.1483 0.1454 0.1426 0.1398 0.1371 0.1344 6 0.1625 0.1585 0.1546 0.1508 0.1470 0.1434 0.1398 0.1363 0.1329 0.1296 0.1264 0.1232 0.1202 0.1172 0.1142 0.1114 0.1086 0.1059 0.1033 0.1007 7 0.1386 0.1345 0.1305 0.1266 0.1228 0.1191 0.1156 0.1121 0.1087 0.1054 0.1022 0.0991 0.0961 0.0932 0.0904 0.0876 0.0849 0.0824 0.0799 0.0774 8 0.1207 0.1165 0.1125 0.1085 0.1047 0.1010 0.0975 0.0940 0.0907 0.0874 0.0843 0.0813 0.0784 0.0756 0.0729 0.0702 0.0677 0.0652 0.0629 0.0606 9 0.1067 0.1025 0.0984 0.0945 0.0907 0.0870 0.0835 0.0801 0.0768 0.0736 0.0706 0.0677 0.0649 0.0622 0.0596 0.0571 0.0547 0.0524 0.0502 0.0481 10 0.0956 0.0913 0.0872 0.0833 0.0795 0.0759 0.0724 0.0690 0.0658 0.0627 0.0598 0.0570 0.0543 0.0517 0.0493 0.0469 0.0447 0.0425 0.0405 0.0385 11 0.0865 0.0822 0.0781 0.0741 0.0704 0.0668 0.0634 0.0601 0.0569 0.0540 0.0511 0.0484 0.0458 0.0434 0.0411 0.0389 0.0368 0.0348 0.0329 0.0311 12 0.0788 0.0746 0.0705 0.0666 0.0628 0.0593 0.0559 0.0527 0.0497 0.0468 0.0440 0.0414 0.0390 0.0367 0.0345 0.0324 0.0305 0.0286 0.0269 0.0253 130.0724 0.0681 0.0640 0.0601 0.0565 0.0530 0.0497 0.0465 0.0436 0.0408 0.0382 0.0357 0.0334 0.0312 0.0291 0.0272 0.0254 0.0237 0.0221 0.0206 14 0.0669 0.0626 0.0585 0.0547 0.0510 0.0476 0.0443 0.0413 0.0384 0.0357 0.0332 0.0309 0.0287 0.0266 0.0247 0.0229 0.0212 0.0197 0.0182 0.0169 0.0621 0.0578 0.0538 0.0499 0.0463 0.0430 0.0398 0.0368 0.0341 0.0315 0.0291 0.0268 0.0247 0.0228 0.0210 0.0194 0.0178 0.0164 0.0151 0.0139 16 0.0579 0.0537 0.0496 0.0458 0.0423 0.0390 0.0359 0.0330 0.0303 0.0278 0.0255 0.0234 0.0214 0.0196 0.0179 0.0164 0.0150 0.0137 0.0125 0.0114 17 0.0543 0.0500 0.0460 0.0422 0.0387 0.0354 0.0324 0.0296 0.0270 0.0247 0.0225 0.0205 0.0186 0.0169 0.0154 0.0140 0.0127 0.0115 0.0104 0.0094 18 0.0510 0.0467 0.0427 0.0390 0.0355 0.0324 0.0294 0.0267 0.0242 0.0219 0.0198 0.0179 0.0162 0.0146 0.0132 0.0119 0.0107 0.0096 0.0087 0.0078 190.0481 0.0438 0.0398 0.0361 0.0327 0.0296 0.0268 0.0241 0.0217 0.0195 0.0176 0.0158 0.0141 0.0127 0.0113 0.0101 0.0091 0.0081 0.0072 0.0065 200.0454 0.0412 0.0372 0.0336 0.0302 0.0272 0.0244 0.0219 0.0195 0.0175 0.0156 0.0139 0.0124 0.0110 0.0098 0.0087 0.0077 0.0068 0.0060 0.0054 1 Interest factors for Engineering Economy Present Worth Factor single payment- To find P given F (P/F) 2 I VS nY 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 3 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 0.8929 0.8850 0.8772 0.8696 0.8621 0.8547 0.8475 0.8403 0.8333 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.8 2 0.7831 0.7695 0.7561 0.7432 0.7305 0.7182 0.7062 0.6944 5 3 0.9706 0.9423 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7312 0.7118 0.6931 0.6750 0.6575 0.6407 0.6244 0.6086 0.5934 0.5787 4 0.9610 0.9238 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6587 0.6355 0.6133 0.5921 0.5718 0.5523 0.5337 0.5158 0.4987 0.4823 5 0.9515 0.9057 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5935 0.5674 0.5428 0.5194 0.4972 0.4761 0.4561 0.4371 0.4190 0.4019 0.9420 0.8880 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5346 0.5066 0.4803 0.4556 0.4323 0.4104 0.3898 0.3704 0.3521 0.3349 7 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4817 0.4523 0.4251 0.3996 0.3759 0.3538 0.3332 0.3139 0.2959 0.2791 10 8 0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4339 0.4039 0.3762 0.3506 0.3269 0.3050 0.2848 0.2660 0.2487 0.2326 11 9 0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3909 0.3606 0.3329 0.3075 0.2843 0.2630 0.2434 0.2255 0.2090 0.1938 12 10 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3522 0.3220 0.2946 0.2697 0.2472 0.2267 0.2080 0.1911 0.1756 0.1615 13 11 0.8963 0.8043 0.7224 0.6496 0.5847 0.5268 0.4751 0.4289 0.3875 0.3505 0.3173 0.2875 0.2607 0.2366 0.2149 0.1954 0.1778 0.1619 0.1476 0.1346 14 12 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.3186 0.2858 0.2567 0.2307 0.2076 0.1869 0.1685 0.1520 0.1372 0.1240 0.1122 15 130.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2575 0.2292 0.2042 0.1821 0.1625 0.1452 0.1299 0.1163 0.1042 0.0935 16 14 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.2633 0.2320 0.2046 0.1807 0.1597 0.1413 0.1252 0.1110 0.0985 0.0876 0.0779 15 0.8613 0.7430 0.6419 0.5553 0.4810 0.4173 0.3624 0.3152 0.2745 0.2394 0.2090 0.1827 0.1599 0.1401 0.1229 0.1079 0.0949 0.0835 0.0736 0.0649 18 16 0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1883 0.1631 0.1415 0.1229 0.1069 0.0930 0.0811 0.0708 0.0618 0.0541 19 17 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1696 0.1456 0.1252 0.1078 0.0929 0.0802 0.0693 0.0600 0.0520 0.0451 20 18 0.8360 0.7002 0.5874 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1528 0.1300 0.1108 0.0946 0.0808 0.0691 0.0592 0.0508 0.0437 0.0376 21 19 0.8277 0.6864 0.5703 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1377 0.1161 0.0981 0.0829 0.0703 0.0596 0.0506 0.0431 0.0367 0.0313 22 20 0.8195 0.6730 0.5537 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1240 0.1037 0.0868 0.0728 0.0611 0.0514 0.0433 0.0365 0.0308 0.0261 2 210114 ccoo nc70 A 200 con 0704224100 1007 1027 1201 1147 000 nozco o 20 C2404420270 0200 oca 017