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A truck was purchased four years ago for $58,000 to move raw materials and finished goods between a production facility and four remote warehouses This truck (the defender) can be sold at the present time for $38,000 and replaced by a new truck (the challenger) with a purchase price of $75,000 a. Given the MVs and operating and maintenance costs, what is the economic life of the challenger if MARR=6%? Note: This is a before tax analysis that does not require any calculations involving the defender b. Suppose that the defender was set up on a depreciation schedule with a five-year MACRS class life at the time of its purchase (four years ago). The corresponding depreciation rates are 20%, 32%, 19.2%, 11.52% 11.52% and 5.76%. The tax rate is 25% I The defender can be sold now for $38,000 or a rebuilt engine and transmission can be purchased and installed at a cost of $15,000 (capital investment with three-year depreciable life, straight line, salvage value=0) If the defender is kept in service, assume that it will have operating and maintenance costs as shown in Part(a) and a MV of 50 at the end of four years. Determine the ATCFs for the defender EOW 0 1 1 2 $ - 31740 $-24240 E- $ - 19740 $ - 12240 4 $ - 4000 FOY Challenger EOY Market value 1 2. 3 4 Defender Market O&M Costs value $28,000 $8,000 22,000 12,000 12,000 15,000 4,000 16,500 1 2 $56,000 44,000 33 000 23,500 O&M Costs $6,000 7,300 8,100 10,200 N 1 2 3 4 5 6 7 8 9 10 Discrete Compounding; i=6% Single Payment Uniform Series Compound Compound. Amount Present Sinking Amount Present Fund Factor Worth Factor Factor Worth Factor Factor To Find To Find P To Find F To Find P To Find A Given P Given F Given A Given A Given F FIP P/F FIA PIA 1.0600 0.9434 1.0000 0.9434 1.0000 1.1236 0.8900 2.0600 1.8334 0.4854 1.1910 0.8396 3.1836 2630 0.3141 1.2625 0.7921 4.3746 3.4651 0.2286 1.3382 0.7473 5.6371 42124 0.1774 1.4185 0.7050 6.9753 4.9173 0.1434 1.5036 0.6651 8.3938 5.5824 0.1191 1.5938 0.6274 9.8975 6.2098 0.1010 1.6895 0.5919 11.4913 6.8017 0.0870 1.7908 0.5584 13.1808 7.3601 0.0759 Capital Recovery Factor To Find A Given P A/P 1.0600 0.5454 0.3741 0.2886 0.2374 0.2034 0.1791 0.1610 0.1470 0.1359 11 12 13 14 15 16 17 18 19 1.8983 2.0122 2.1329 2.2609 2.3966 2.5404 2.6928 2.8543 3.0256 3.2071 3.3996 3.6035 3.8197 4.0489 4.2919 5.7435 7.6861 10.2857 0.5268 0.4970 0.4688 0.4423 0.4173 0.3936 0.3714 0.3503 0.3305 0.3118 0.2942 0.2775 0.2618 0.2470 0.2330 0.1741 0.1301 00972 14.9716 16.8699 18.8821 21.0151 23.2760 25.6725 28.2129 30.9057 33.7600 36.7856 39.9927 43.3923 46.9958 50.8156 54.8645 79.0582 111.4348 154 7620 7.8869 8.3838 8.8527 9.2950 9.7122 10.1059 10.4773 10.8276 11.1581 11.4699 11.7641 12.0416 12.3034 12.5504 12.7834 13.7648 14.4982 15.0463 0.0668 0.0593 0.0530 0.0476 0.0430 0.0390 0.0354 0.0324 0.0296 0.0272 0.0250 0.0230 0.0213 0.0197 0.0182 0.0126 0.0090 0.0065 0.1268 0.1193 0.1130 0.1076 0.1030 0.0990 0.0954 0.0924 0.0896 0.0872 0.0850 0.0830 0.0813 0.0797 0.0782 0.0726 0.0690 0.0665 20 21 22 23 24 25 30 35 40 A truck was purchased four years ago for $58,000 to move raw materials and finished goods between a production facility and four remote warehouses This truck (the defender) can be sold at the present time for $38,000 and replaced by a new truck (the challenger) with a purchase price of $75,000 a. Given the MVs and operating and maintenance costs, what is the economic life of the challenger if MARR=6%? Note: This is a before tax analysis that does not require any calculations involving the defender b. Suppose that the defender was set up on a depreciation schedule with a five-year MACRS class life at the time of its purchase (four years ago). The corresponding depreciation rates are 20%, 32%, 19.2%, 11.52% 11.52% and 5.76%. The tax rate is 25% I The defender can be sold now for $38,000 or a rebuilt engine and transmission can be purchased and installed at a cost of $15,000 (capital investment with three-year depreciable life, straight line, salvage value=0) If the defender is kept in service, assume that it will have operating and maintenance costs as shown in Part(a) and a MV of 50 at the end of four years. Determine the ATCFs for the defender EOW 0 1 1 2 $ - 31740 $-24240 E- $ - 19740 $ - 12240 4 $ - 4000 FOY Challenger EOY Market value 1 2. 3 4 Defender Market O&M Costs value $28,000 $8,000 22,000 12,000 12,000 15,000 4,000 16,500 1 2 $56,000 44,000 33 000 23,500 O&M Costs $6,000 7,300 8,100 10,200 N 1 2 3 4 5 6 7 8 9 10 Discrete Compounding; i=6% Single Payment Uniform Series Compound Compound. Amount Present Sinking Amount Present Fund Factor Worth Factor Factor Worth Factor Factor To Find To Find P To Find F To Find P To Find A Given P Given F Given A Given A Given F FIP P/F FIA PIA 1.0600 0.9434 1.0000 0.9434 1.0000 1.1236 0.8900 2.0600 1.8334 0.4854 1.1910 0.8396 3.1836 2630 0.3141 1.2625 0.7921 4.3746 3.4651 0.2286 1.3382 0.7473 5.6371 42124 0.1774 1.4185 0.7050 6.9753 4.9173 0.1434 1.5036 0.6651 8.3938 5.5824 0.1191 1.5938 0.6274 9.8975 6.2098 0.1010 1.6895 0.5919 11.4913 6.8017 0.0870 1.7908 0.5584 13.1808 7.3601 0.0759 Capital Recovery Factor To Find A Given P A/P 1.0600 0.5454 0.3741 0.2886 0.2374 0.2034 0.1791 0.1610 0.1470 0.1359 11 12 13 14 15 16 17 18 19 1.8983 2.0122 2.1329 2.2609 2.3966 2.5404 2.6928 2.8543 3.0256 3.2071 3.3996 3.6035 3.8197 4.0489 4.2919 5.7435 7.6861 10.2857 0.5268 0.4970 0.4688 0.4423 0.4173 0.3936 0.3714 0.3503 0.3305 0.3118 0.2942 0.2775 0.2618 0.2470 0.2330 0.1741 0.1301 00972 14.9716 16.8699 18.8821 21.0151 23.2760 25.6725 28.2129 30.9057 33.7600 36.7856 39.9927 43.3923 46.9958 50.8156 54.8645 79.0582 111.4348 154 7620 7.8869 8.3838 8.8527 9.2950 9.7122 10.1059 10.4773 10.8276 11.1581 11.4699 11.7641 12.0416 12.3034 12.5504 12.7834 13.7648 14.4982 15.0463 0.0668 0.0593 0.0530 0.0476 0.0430 0.0390 0.0354 0.0324 0.0296 0.0272 0.0250 0.0230 0.0213 0.0197 0.0182 0.0126 0.0090 0.0065 0.1268 0.1193 0.1130 0.1076 0.1030 0.0990 0.0954 0.0924 0.0896 0.0872 0.0850 0.0830 0.0813 0.0797 0.0782 0.0726 0.0690 0.0665 20 21 22 23 24 25 30 35 40