For an infrastructure project, the capital investment is $10,676,401, the annual operation and maintenance cost is $781,951, the annual benefit is $2,393,752, and the salvage value is $1,654,448. If the project has a useful of 50 years, and the interest rate is 7% annually. What is the benefit-cost-ratio of this project (keep two decimal places)? 7% 7% n 1 2 3 4 5 Sinking Fund Factor Find A Given F A/F 1.0000 4831 3111 .2252 .1739 n 1 2 3 4 5 .6663 1398 2098 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Single Payment Compound Present Amount Worth Factor Factor Find F Find P Glven P Given F F/P P/F 1.070 9346 1.145 .8734 1.225 .8163 1.311 .7629 1.403 .7130 1.501 1.606 .6227 1.718 .5820 1.838 5439 1.967 .5083 2.105 .4751 2.252 4440 2.410 .4150 2.579 .3878 2.759 .3624 2.952 .3387 3.159 .3166 3.380 .2959 3.617 .2765 3,870 .2584 4.141 .2415 4.430 2257 4.741 2109 5.072 .1971 5.427 .1842 5.807 .1722 6.214 .1609 6.649 . 1504 7.114 .1406 7.612 .1314 8.145 1228 8.715 .1147 9.325 1072 9.978 .1002 10.677 .0937 14.974 .0668 21.002 .0476 29,457 0339 41.315 0242 57.947 .0173 Compound Interest Factors Uniform Payment Series Capital Compound Recovery Amount Factor Factor Find A Find F Glven P Given A A/P F/A 1.0700 1.000 .5531 2.070 .3811 3.215 2952 4.440 .2439 5.751 7.153 .1856 8.654 .1675 10.260 1535 11.978 .1424 13.816 .1334 15.784 1259 17.888 .1197 20.141 .1143 22.551 .1098 25.129 1059 27.888 1024 30.840 .0994 33.999 .0968 37.379 0944 40.996 .0923 44.865 0904 49.006 .0887 53.436 .0872 58.177 .0858 63.249 .0846 68.677 .0834 74.484 0824 80.698 .0814 87.347 .0806 94.461 .0798 102.073 .0791 110.218 .0784 118.934 .0778 128.259 .0772 138.237 0750 199.636 .0735 285.750 .0725 406.530 .0717 575.930 .0712 813.523 .1156 0975 0835 0724 .0634 .0559 .0497 .0443 .0398 .0359 .0324 .0294 0268 .0244 .0223 .0204 .0187 .0172 .0158 .0146 0134 0124 .0114 .0106 .00980 .00907 .00841 .00780 .00723 00501 .00350 .00246 .00174 .00123 Present Worth Factor Find P Given A PIA 0.935 1.808 2.624 3.387 4.100 4.767 5.389 5.971 6.515 7.024 7.499 7.943 8.358 8.745 9.108 9.447 9.763 10.059 10.336 10.594 10.836 11.061 11.272 11.469 11.654 11.826 11.987 12.137 12.278 12.409 12.532 12.647 12.754 12.854 12.948 13.332 13.606 13.801 13.940 14.039 Arithmetic Gradient Gradient Gradient Uniform Present Series Worth Find A Find P Given G Given G A/G P/G 0 0 0.483 0.873 0.955 2.506 1.416 4.795 1.865 7.647 2.303 10.978 2.730 14.715 3.147 18.789 3.552 23.140 3.946 27.716 4.330 32.467 4.703 37.351 5.065 42.330 5.417 47.372 5.758 52.446 6.090 57.527 6.411 62.592 6.722 67.622 7.024 72.599 7.316 77.509 7.599 82.339 7.872 87.079 8.137 91.720 8.392 96.255 8.639 100.677 8.877 104.981 9.107 109.166 9.329 113.227 9.543 117.162 9.749 120.972 9.947 124.655 10.138 128.212 10.322 131.644 10.499 134.951 10.669 138.135 11.423 152.293 12.036 163.756 12.529 172.905 12.921 180.124 13.232 185.768 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 60 31 32 33 34 35 40 45 50 55 60 0.84 1.54 margin of error +/- 10%
