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Table A-1. 3-, 5-, 7-, 10-, 15-, and 20-Year Property Half-Year Convention Depre

ID: 2471015 • Letter: T

Question

Table A-1. 3-, 5-, 7-, 10-, 15-, and 20-Year Property Half-Year Convention Depreciation rate for r ecovery p 5-year 7-year 10-ye 15-year20-year 5.00% 33.33% 44.45 14.81 20.00% 32.00 19.20 14.29% 24.49 10.00% 18.00 4.40 3.750% 7.219 6.677 2 12.49 8.93 8.55 7.70 6.93 4 9.22 5.713 6.23 7.37 6.55 6.55 6.56 6.55 5.285 4.888 4.522 4.462 4.461 5.76 8.93 8 4.462 4.461 4.462 4.461 4.462 3.28 4.461 4.462 4.461 4.462 4.461 20 2.231 Table A-2. 3-, 5-, 7-, 10-, 15-, and 20-Year Property Mid-Quarter Convention Placed in Service in First Quarter Depreciation rate for recovery pe riod 5-year 10-ye 15-year20-year 58.33% 7.78 12.35 1.54 7-year 25.00% 15.31 6.563% 7.000 6.482 5.996 5.546 8.75% 35.00% 26.00 15.60 17.50% 16.50 13.20 10.56 8.45 2 8.21 7.39 6.65 4 10.93 8.74 8.75 5.99 6.76 6.55 6.55 6.56 6.55 4.746 4.459 4.459 4.459 8 4.459 4.460 4.459 4.460 4.459 4.460 4.459 4.460 4.459 4.460 0.74 20 0.565

Explanation / Answer

It is not clear if the net working   capital returned at the end.However, assumed NWC returned at the end Also assuming operating cost does   not include depreciation. Details Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 MACRS details 20.00% 32.00% 19.20% 11.52% 11.52% Capital Investment        (400,000) Net Working Capital         (50,000)        50,000 Revenue generated          180,000         180,000          180,000        180,000      180,000 Operating Expense          (35,000)         (35,000)          (35,000)        (35,000)      (35,000) Depreciation          (80,000)       (128,000)          (76,800)        (46,080)      (46,080) Taxable Income            65,000            17,000            68,200           98,920        98,920 Tax @38%          (24,700)            (6,460)          (25,916)        (37,590)      (37,590) Net Income after tax            40,300            10,540            42,284           61,330        61,330 Add Back depreciation            80,000         128,000            76,800           46,080        46,080 Net Cash flow (including NWC return)      (450,000)          120,300         138,540          119,084        107,410      157,410 PV factor @10%                      1            0.9091            0.8264            0.7513           0.6830        0.6209 PV of Cash flows      (450,000)          109,364         114,496            89,470           73,363        97,739 NPV = $   34,431.3 ROR (IRR) calculation Details Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 MACRS details 20.00% 32.00% 19.20% 11.52% 11.52% Capital Investment        (400,000) Net Working Capital         (50,000)        50,000 Revenue generated          180,000         180,000          180,000        180,000      180,000 Operating Expense          (35,000)         (35,000)          (35,000)        (35,000)      (35,000) Depreciation          (80,000)       (128,000)          (76,800)        (46,080)      (46,080) Taxable Income            65,000            17,000            68,200           98,920        98,920 Tax @38%          (24,700)            (6,460)          (25,916)        (37,590)      (37,590) Net Income after tax            40,300            10,540            42,284           61,330        61,330 Add Back depreciation            80,000         128,000            76,800           46,080        46,080 Net Cash flow (including NWC return)      (450,000)          120,300         138,540          119,084        107,410      157,410 PV factor @12.893%                      1            0.8858            0.7846            0.6950           0.6156        0.5453 PV of Cash flows      (450,000)          106,561         108,703            82,766           66,127        85,842 NPV = $           (1.3) At required return rate 12.893% , the NPV is 0. So IRR =12.893%