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A currently owned shredder originally costing $800,000 was purchased 5 years ago

ID: 2460981 • Letter: A

Question

A currently owned shredder originally costing $800,000 was purchased 5 years ago (MACR-GDS 7 year property class) for use in a refuse-powered electrical generating plant. It has a present realizable value of $210,000 and is expected to have a market value of $150,000 after 4 more years. Operating and maintenance costs are $100,000 per year. An equivalent shredder can be leased for $250 per day plus $80 per hour of actual use as determined by an hour meter, with both expenses paid at year-end. Actual use is expected to be 1,500 hours and 250 days per year. Use the cash flow approach (insider's approach), a 4 year-planning horizon, a tax rate of 40%, and a MARR of 9% to perform after-tax analysis to determine the break-even point (number of days and hours) in which the preferred alternative is to lease.

Explanation / Answer

Recovery Year Machinery cost 7-Year Depreciation for the year Accumulated Dep book value 1         800,000 14.29              114,320         114,320    685,680 2         800,000 24.49              195,920         310,240    489,760 3         800,000 17.49              139,920         450,160    349,840 4         800,000 12.49                99,920         550,080    249,920 5         800,000 8.93                71,440         621,520    178,480 6         800,000 8.92                71,360         692,880    107,120 7         800,000 8.93                71,440         764,320      35,680 8         800,000 4.46                35,680         800,000                -   Cost to be incurred in leasing of equipment $ No of Hours used in a year Total in $ Per hour rate 80 1500              120,000 per day rate 250 250                62,500 Total Lease exp              182,500 Case 1 :- using of Existing Machine Year 1 Year 2 Year 3 Year 4 Total Cash outlflow Depreciation           71,360        71,440                35,680 Maint. Cost 100000 100000 100000 100000 Total         171,360      171,440              135,680         100,000 Tax Savings @ 40%           68,544        68,576                54,272           40,000 Net Cash outflow         102,816      102,864                81,408           60,000 Cash Inflow         150,000 Final Net cash outflow         102,816      102,864                81,408         -90,000 Discount rate @ 9%             0.917           0.842                   0.772             0.708 PV of Cash outflow           94,327        86,579                62,862         -63,758    180,009 Case 2 :- using of Leased Machine Year 1 Year 2 Year 3 Year 4 Total Cash outlflow Lease Exp         182,500      182,500              182,500         182,500 Tax Savings @ 40%           73,000        73,000                73,000           73,000 Net Cash outflow         109,500      109,500              109,500         109,500 Cash Inflow 210000                    -   Final Net cash outflow       -100,500      109,500              109,500         109,500 Discount rate @ 9%             0.917           0.842                   0.772             0.708 PV of Cash outflow         -92,202        92,164                84,554           77,573    162,089 Remark PV of Cash outlow is higher in using of existing machine. Therfore it is better to use the machine on lease and sell the existing machine.