Present Value of Annuity $1.00 in Arrears Interest Periods Interest Periods 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% 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 07 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 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 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 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% 65.5% 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% 700 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 nor 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 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 no 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 ra 77 nac Capital Decision Making Big Al gives his worker's a one hour lunch and two fifteen minute breaks each day. He believes that a cold soda machine would be appreciated by his workers, and an appreciated worker is a good worker. He has priced a machine at a national member only warehouse for $1,800. The machine should be usable for 4 years, after which it would be inefficient, obsolete and would have to be disposed of at the dump. Big Al believes that 7 cans a day will be purchased. The plant is open five days a week, 50 weeks per year. A case of soda (24 cans) costs $5.52 and Big Al believes that a price of $.75 per can would win him good will. What is the estimated annual sales in cans of soda? 1,750 cans {17.01) What is the contribution margin per can of soda? (rounded to two places, $#.## $ 0.52 {17.02) How many cans of soda must be sold each year to breakeven? (Round up to zero places, #**##cans) 450 865 cans {17.03} Annual incremental cash inflows from the soda machine? (rounded to two places, $#.##) 1,347.50 {17.04} What is the payback period in years? (rounded to two places, #.##years) 1.34 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 time Ip.v.f Amount PV 0 -1800 $ 1,347.50 2 $ 1,347.50 31 $ 1,347.50 4 $ 1,347.50 1 {17.06) What is the internal rate of return. Pick the closest interest rate from the tables on page 18. {17.07}