Engineering Economy

HOMEWORK 1- QUESTION 1 Hint: 10 equal annual payments of 9000 por are equal to the sum of 3 equal payments at the end of the 12th, 15th and 20th years. What should be the amount of these three payments with a compound annual interest rate of at 9%? Draw the cash flows described verbally as two different cash flow diagrams. Make calculations taking into account that they are equivalent. 9% TABLE 14 Discrete Cash Flow: Compound Interest Factors 9% Single Payments Uniform Series Payments Arithmetic Gradients Compound Present Sinking Compound Capital Present Gradient Gradient Amount Worth Fund Amount Recovery Worth Present Worth Uniform Series F/P P/F A/F F/A A/P P/A P/G A/G n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1.0900 1.1881 1.2950 1.4116 1.5386 1.6771 1.8280 1.9926 2.1719 2.3674 2.5804 2.8127 3.0658 3.3417 3.6425 3.9703 4.3276 4.7171 5.1417 5.6044 6.1088 6.6586 7.2579 0.9174 0.8417 0.7722 0.7084 0.6499 0.5963 0.5470 0.5019 0.4604 0.4224 0.3875 0.3555 0.3262 0.2992 0.2745 0.2519 0.2311 0.2120 0.1945 0.1784 0.1637 0.1502 0.1378 1.00000 0.47847 0.30505 0.21867 0.16709 0.13292 0.10869 0.09067 0.07680 0.06582 0.05695 0.04965 0.04357 0.03843 0.03406 0.03030 0.02705 0.02421 0.02173 0.01955 0.01762 0.01590 0.01438 1.0000 2.0900 3.2781 4.5731 5.9847 7.5233 9.2004 11.0285 13.0210 15.1929 17.5603 20.1407 22.9534 26.0192 29.3609 33.0034 36.9737 41.3013 46.0185 51.1601 56.7645 62.8733 69.5319 1.09000 0.56847 0.39505 0.30867 0.25709 0.22292 0.19869 0.18067 0.16680 0.15582 0.14695 0.13965 0.13357 0.12843 0.12406 0.12030 0.11705 0.11421 0.11173 0.10955 0.10762 0.10590 0.10438 0.9174 1.7591 2.5313 3.2397 3.8897 4.4859 5.0330 5.5348 5.9952 6.4177 6.8052 7.1607 7.4869 7.7862 8.0607 8.3126 8.5436 8.7556 8.9501 9.1285 9.2922 9.4424 9.5802 0.8417 2.3860 4.5113 7.1110 10.0924 13.3746 16.8877 20.5711 24.3728 28.2481 32.1590 36.0731 39.9633 43.8069 47.5849 51.2821 54.8860 58.3868 61.7770 65.0509 68.2048 71.2359 0.4785 0.9426 1.3925 1.8282 2.2498 2.6574 3.0512 3.4312 3.7978 4.1510 4.4910 4.8182 5.1326 5.4346 5.7245 6.0024 6.2687 6.5236 6.7674 7.0006 7.2232 7.4357 25% TABLE 25 Discrete Cash Flow: Compound Interest Factors 25% Arithmetic Gradients Single Payments Compound Present Amount Worth F/P. P/F Sinking Fund A/F Uniform Series Payments Compound Capital Amount Recovery F/A A/P Present Worth P/A Gradient Present Worth P/G Gradient Uniform Series A/G n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1.2500 1.5625 1.9531 2.4414 3.0518 3.8147 4.7684 5.9605 7.4506 9.3132 11.6415 14.5519 18.1899 22.7374 28.4217 35.5271 44.4089 55.5112 69.3889 86.7362 135.5253 211.7582 0.8000 0.6400 0.5120 0.4096 0.3277 0.2621 0.2097 0.1678 0.1342 0.1074 0.0859 0.0687 0.0550 0.0440 0.0352 0.0281 0.0225 0.0180 0.0144 0.0115 0.0074 0.0047 1.00000 0.44444 0.26230 0.17344 0.12185 0.08882 0.06634 0.05040 0.03876 0.03007 0.02349 0.01845 0.01454 0.01150 0.00912 0.00724 0.00576 0.00459 0.00366 0.00292 0.00186 0.00119 1.0000 2.2500 3.8125 5.7656 8.2070 11.2588 15.0735 19.8419 25.8023 33.2529 42.5661 54.2077 68.7596 86.9495 109.6868 138.1085 173.6357 218.0446 273.5558 342.9447 538.1011 843.0329 1.25000 0.69444 0.51230 0.42344 0.37185 0.33882 0.31634 0.30040 0.28876 0.28007 0.27349 0.26845 0.26454 0.26150 0.25912 0.25724 0.25576 0.25459 0.25366 0.25292 0.25186 0.25119 0.8000 1.4400 1.9520 2.3616 2.6893 2.9514 3.1611 3.3289 3.4631 3.5705 3.6564 3.7251 3.7801 3.8241 3.8593 3.8874 3.9099 3.9279 3.9424 3.9539 3.9705 3.9811 0.6400 1.6640 2.8928 4.2035 5.5142 6.7725 7.9469 9.0207 9.9870 10.8460 11.6020 12.2617 12.8334 13.3260 13.7482 14.1085 14.4147 14.6741 14.8932 15.2326 15.4711 0.4444 0.8525 1.2249 1.5631 1.8683 2.1424 2.3872 2.6048 2.7971 2.9663 3.1145 3.2437 3.3559 3.4530 3.5366 3.6084 3.6698 3.7222 3.7667 3.8365 3.8861 18 19 20 22 24 Assessment Criteria for the questions in Homeworks and Exams Assessment Criteria for homework and exam questions Each question will be evaluated according to the following criteria: Criteria (For each question) Yes Cash Flow Diagram must be drawn correctly (If it is given in the question, there is no need to draw it again) Full Partially No Half of the 0 score Or, depending on the question, cash flows should be tabularized. score Formulation should be done with factor notation before calculation. Full Half of the 0 score The Numerical Calculation stage should be included in the answer Full o score 4 digits after the comma should be taken into account in calculations. score Half of the score Half of the score Half of the Full o score The result should be specified in its unit and metioned in a frame. Full 0 score score