B H Present Value of Annuity $1.00 in Arrears 1 2 3 Interest Periods Interest Periods 4 5 6 7 7 8 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Rate 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 10.0% 10.5% 11.0% 11.5% 12.0% 12.5% 13.0% 13.5% 14.0% 14.5% 15.0% 15.5% 16.0% 16.5% 17.0% 17.5% 18.0% 18.5% 19.0% 19.5% 20.0% 20.5% 21.0% 21.5% 22.0% 22.5% 23.0% 23.5% 24.0% 24.5% 3 2.884 2.856 2.829 2.802 2.775 2.749 2.723 2.698 2.673 2.648 2.624 2.601 2.577 2.554 2.531 2.509 2.487 2.465 2.444 2.423 2.402 2.381 2.361 2.341 2.322 2.302 2.283 2.264 2.246 2.228 2.210 2.192 2. 174 2.157 2.140 2.123 2. 106 2.090 2.074 2.058 2.042 2.027 2.011 1.996 1.981 1.967 27 28 29 30 31 32 33 34 35 36 37 38 39 4 3.808 3.762 3.717 3.673 3.630 3.588 3.546 3.505 3.465 3.426 3.387 3.349 3.312 3.276 3.240 3.204 3.170 3.136 3.102 3.070 3.037 3.006 2.974 2.944 2.914 2.884 2.855 2.826 2.798 2.770 2.743 2.716 2.690 2.664 2.639 2.613 2.589 2.564 2.540 2.517 2.494 2.471 2.448 2.426 2.404 2.383 5 4.713 4.646 4.580 4.515 4.452 4.390 4.329 4.270 4.212 4.156 4.100 4.046 3.993 3.941 3.890 3.840 3.791 3.743 3.696 3.650 3.605 3.561 3.517 3.475 3.433 3.392 3.352 3.313 3.274 3.236 3.199 3.163 3.127 3.092 3.058 3.024 2.991 2.958 2.926 2.895 2.864 2.833 2.803 2.774 2.745 2.717 Rate 50.5% 51.0% 51.5% 52.0% 52.5% 53.0% 53.5% 54.0% 54.5% 55.0% 55.5% 56.0% 56.5% 57.0% 57.5% 58.0% 58.5% 59.0% 59.5% 60.0% 60.5% 61.0% 61.5% 62.0% 62.5% 63.0% 63.5% 64.0% 64.5% 65.0% 6 5.601 5.508 5.417 5.329 5.242 5.158 5.076 4.996 4.917 4.841 4.767 4.694 4.623 4.554 4.486 4.420 4.355 4.292 4.231 4.170 4.111 4.054 3.998 3.943 3.889 3.836 3.784 3.734 3.685 3.636 3.589 3.543 3.498 3.453 3.410 3.367 3.326 3.285 3.245 3.205 3.167 3.129 3.092 3.056 3.020 2.986 3 1.399 1.391 1.383 1.375 1.368 1.360 1.352 1.345 1.337 1.330 1.323 1.315 1.308 1.301 1.294 1.287 1.280 1.273 1.266 1.260 1.253 1.247 1.240 1.234 1.227 1.221 1.214 1.208 1.202 1.196 1.190 1.184 1.178 1.172 1.166 1.160 1.155 1.149 1.143 1.138 1.132 1.127 1.121 1.116 1.111 1.105 4 1.594 1.584 1.573 1.563 1.553 1.542 1.532 1.523 1.513 1.503 1.494 1.484 1.475 1.466 1.457 1.447 1.439 1.430 1.421 1.412 1.404 1.395 1.387 1.379 1.371 1.362 1.354 1.347 1.339 1.331 1.323 1.316 1.308 1.301 1.293 1.286 1.279 1.272 1.265 1.258 1.251 1.244 1.237 1.230 1.224 1.217 5 1.724 1.711 1.698 1.686 1.674 1.662 1.650 1.638 1.626 1.615 1.604 1.592 1.581 1.570 1.560 1.549 1.539 1.528 1.518 1.508 1.498 1.488 1.478 1.468 1.459 1.449 1.440 1.431 1.422 1.413 1.404 1.395 1.386 1.378 1.369 1.361 1.352 1.344 1.336 1.328 1.320 1.312 1.304 1.297 1.289 1.281 6 1.810 1.795 1.781 1.767 1.753 1.740 1.726 1.713 1.700 1.687 1.674 1.662 1.649 1.637 1.625 1.613 1.602 1.590 1.579 1.567 1.556 1.545 1.534 1.524 1.513 1.503 1.492 1.482 1.472 1.462 1.452 1.443 1.433 1.424 1.414 1.405 1.396 1.387 1.378 1.369 1.361 1.352 1.344 1.335 1.327 65.5% 40 41 42 43 44 45 46 47 48 49 50 66.0% 66.5% 67.0% 67.5% 68.0% 68.5% 69.0% 69.5% 70.0% 70.5% 71.0% 71.5% 72.0% 72.5% 73.0% 1.319 6 A 7 8 9 10 Ready B D F G 1 J K 1.967 1.952 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 A 24.5% 25.0% 25.5% 26.0% 26.5% 27.0% 27.5% 28.0% 28.5% 29.0% 29.5% 30.0% 30.5% 31.0% 31.5% 32.0% 32.5% 33.0% 33.5% 34.0% 34.5% 35.0% 35.5% 36.0% 36.5% 37.0% 37.5% 38.0% 38.5% 39.0% 39.5% 40.0% 40.5% 41.0% 41.5% 42.0% 42.5% 43.0% 43.5% 44.0% 44.5% 45.0% 45.5% 46.0% 46.5% 47.0% 47.5% 48.0% 48.5% 49.0% 49.5% 2.383 2.362 2.341 2.320 2.300 2.280 2.260 2.241 2.222 2.203 2.185 2.166 2.148 2.130 2.113 2.096 2.079 2.062 2.045 2.029 2.013 1.997 1.981 1.966 1.951 1.935 1.921 1.906 1.892 1.877 1.863 1.849 1.836 1.822 1.809 1.795 1.782 1.769 1.757 1.744 1.732 1.720 1.707 1.695 1.684 1.672 1.660 1.649 1.638 1.627 1.616 2.717 2.689 2.662 2.635 2.609 2.583 2.557 2.532 2.507 2.483 2.459 2.436 2.412 2.390 2.367 2.345 2.324 2.302 2.281 2.260 2.240 2.220 2.200 2.181 2.162 2.143 1.938 1.923 1.909 1.896 1.882 1.868 1.855 1.842 1.829 1.816 1.803 1.791 1.779 1.766 1.754 1.742 1.730 1.719 1.707 1.696 1.685 1.673 1.662 1.652 1.641 1.630 1.620 1.609 1.599 1.589 1.579 1.569 1.559 1.549 1.540 1.530 1.521 1.512 1.502 1.493 1.484 1.475 1.467 1.458 1.449 1.441 1.432 1.424 1.416 E 2.986 2.951 2.918 2.885 2.853 2.821 2.790 2.759 2.729 2.700 2.671 2.643 2.615 2.588 2.561 2.534 2.508 2.483 2.458 2.433 2.409 2.385 2.362 2.339 2.316 2.294 2.272 2.251 2.229 2.209 2.188 2.168 2.148 2.129 2. 109 2.091 2.072 2.054 2.036 2.018 2.000 1.983 1.966 1.949 1.933 1.917 1.901 1.885 1.870 1.854 1.839 73.0% 73.5% 74.0% 74.5% 75.0% 75.5% 76.0% 76.5% 77.0% 77.5% 78.0% 78.5% 79.0% 79.5% 80.0% 80.5% 81.0% 81.5% 82.0% 82.5% 83.0% 83.5% 84.0% 84.5% 85.0% 85.5% 86.0% 86.5% 87.0% 87.5% 88.0% 88.5% 89.0% 89.5% 90.0% 90.5% 91.0% 91.5% 92.0% 92.5% 93.0% 93.5% 94.0% 94.5% 95.0% 95.5% 96.0% 96.5% 97.0% 97.5% 98.0% H H 1.105 1.100 1.095 1.090 1.085 1.079 1.074 1.069 1.064 1.060 1.055 1.050 1.045 1.040 1.036 1.031 1.026 1.022 1.017 1.013 1.008 1.004 0.999 0.995 0.991 0.986 0.982 0.978 0.974 0.969 0.965 0.961 0.957 0.953 0.949 0.945 0.941 0.937 0.933 0.930 0.926 0.922 0.918 0.914 0.911 0.907 0.903 0.900 0.896 0.893 0.889 1.217 1.210 1.204 1.198 1.191 1.185 1.179 1.172 1.166 1.160 1.154 1.148 1.143 1.137 1.131 1.125 1.120 1.114 1.108 1.103 1.097 1.092 1.087 1.081 1.076 1.071 1.066 1.061 1.055 1.050 1.045 1.040 1.036 1.031 1.026 1.021 1.016 1.012 1.007 1.002 0.998 0.993 0.989 0.984 0.980 0.975 0.971 0.967 0.962 0.958 0.954 1.281 1.274 1.267 1.259 1.252 1.245 1.238 1.231 1.224 1.217 1.210 1.204 1.197 1.190 1.184 1.177 1.171 1.165 1.158 1.152 1.146 1.140 1.134 1.128 1.122 1.116 1.111 1.105 1.099 1.094 1.088 1.082 1.077 1.072 1.066 1.061 1.056 1.050 1.045 1.040 1.035 1.030 1.025 1.020 1.015 1.010 1.006 1.001 0.996 0.992 0.987 1.319 1.311 1.303 1.295 1.287 1.279 1.272 1.264 1.256 1.249 1.242 1.235 1.227 1.220 1.213 1.206 1.199 1.193 1.186 1.179 1.173 1.166 1.160 1.153 1.147 1.141 2. 124 1.135 2. 106 2.088 2.070 2.052 2.035 2.018 2.001 1.985 1.969 1.953 1.937 1.921 1.906 1.890 1.876 1.861 1.846 1.832 1.818 1.804 1.790 1.776 1.763 1.750 1.129 1.123 1.117 1.111 1.105 1.099 1.093 1.087 1.082 1.076 1.071 1.065 1.060 1.054 1.049 1.044 1.039 1.033 1.028 1.023 1.018 1.013 1.008 1.003 6 7 7 8 9 A 10 Ready 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 35.5% 36.0% 36.5% 37.0% 37.5% 38.0% 38.5% 39.0% 39.5% 40.0% 40.5% 41.0% 41.5% 42.0% 42.5% 43.0% 43.5% 44.0% 44.5% 45.0% 45.5% 46.0% 46.5% 47.0% 47.5% 48.0% 48.5% 49.0% 49.5% 50.0% 1.685 1.673 1.662 1.652 1.641 1.630 1.620 1.609 1.599 1.589 1.579 1.569 1.559 1.549 1.540 1.530 1.521 1.512 1.502 1.493 1.484 1.475 1.467 1.458 1.449 1.441 1.432 1.424 1.416 1.407 1.981 1.966 1.951 1.935 1.921 1.906 1.892 1.877 1.863 1.849 1.836 1.822 1.809 1.795 1.782 1.769 1.757 1.744 1.732 1.720 1.707 1.695 1.684 1.672 1.660 1.649 1.638 1.627 1.616 1.605 2.200 2.181 2.162 2.143 2.124 2. 106 2.088 2.070 2.052 2.035 2.018 2.001 1.985 1.969 1.953 1.937 1.921 1.906 1.890 1.876 1.861 1.846 1.832 1.818 1.804 1.790 1.776 1.763 1.750 1.737 2.362 2.339 2.316 2.294 2.272 2.251 2.229 2.209 2. 188 2.168 2.148 2.129 2. 109 2.091 2.072 2.054 2.036 2.018 2.000 1.983 1.966 1.949 1.933 1.917 1.901 1.885 1.870 1.854 1.839 1.824 88 84.0% 84.5% 85.0% 85.5% 86.0% 86.5% 87.0% 87.5% 88.0% 88.5% 89.0% 89.5% 90.0% 90.5% 91.0% 91.5% 92.0% 92.5% 93.0% 93.5% 94.0% 94.5% 95.0% 95.5% 96.0% 96.5% 97.0% 97.5% 98.0% 98.5% 99.0% 99.5% 100.0% 0.999 0.995 0.991 0.986 0.982 0.978 0.974 0.969 0.965 0.961 0.957 0.953 0.949 0.945 0.941 0.937 0.933 0.930 0.926 0.922 0.918 0.914 0.911 0.907 0.903 0.900 0.896 0.893 0.889 0.885 0.882 0.878 0.875 1.087 1.081 1.076 1.071 1.066 1.061 1.055 1.050 1.045 1.040 1.036 1.031 1.026 1.021 1.016 1.012 1.007 1.002 0.998 0.993 0.989 0.984 0.980 0.975 0.971 0.967 0.962 0.958 0.954 0.950 0.946 0.942 0.938 1.134 1.128 1.122 1.116 1.111 1.105 1.099 1.094 1.088 1.082 1.077 1.072 1.066 1.061 1.056 1.050 1.045 1.040 1.035 1.030 1.025 1.020 1.015 1.010 1.006 1.001 0.996 0.992 0.987 0.982 0.978 0.973 0.969 1.160 1.153 1.147 1.141 1.135 1.129 1.123 1.117 1.111 1.105 1.099 1.093 1.087 1.082 1.076 1.071 1.065 1.060 1.054 1.049 1.044 1.039 1.033 1.028 1.023 1.018 1.013 1.008 1.003 0.999 0.994 0.989 0.984 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 If off the chart use 100% Capital Decision Making 14. Big Al gives his worker's a one hour lunch and two fifteen minute breaks each day. He believes that a 20 cold soda machine would be appreciated by his workers, and an appreciated worker is a good worker. 21 He has priced a machine at a national member only warehouse for $2,250. The machine should be 22 usable for 5 years, after which it would be inefficient, obsolete and would have to be disposed of at the 23 dump. Big Al believes that 10 cans a day will be purchased. The plant is open five days a week, 50 24 weeks per year. A case of soda (24 cans) costs $6.48 and Big Al believes that a price of $.65 per 30 can would win him good will. What is the estimated annual sales in cans of soda? {17.01) What is the contribution margin per can of soda? (rounded to two places, $#.##) {17.02) 28882328232 89818 82&&8:&NBEWE How many cans of soda must be sold each year to breakeven? (Round up to zero places, ### ### cans) {17.03) Annual incremental cash inflows from the soda machine? (rounded to two places, $#.## {17.04) What is the payback period in years? (rounded to two places, #.##years) {17.05) If the time value of money is 12% per year what is the net present value? Use the tables on page 18 {17.06) 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 What is the internal rate of return. Pick the closest interest rate from the tables on page 18. {17.07) 6 7 8 9 10 11 Ready