MC Qu. 89 A company ls planning... A company is planning to purchase a machine t
ID: 2587901 • Letter: M
Question
MC Qu. 89 A company ls planning... A company is planning to purchase a machine that will cost $48,000 with a six-year life and no salvage value. The company expects to sell the machine's output of 3,000 units evenly throughout each year. A projected income statement for each year of the asset's life appears below. What is the payback period for this machine? Sales Costs: Manufacturing Depreciation on machine Selling and administrative expenses Income before taxes Income tax (40%) Net income s 117,000 $61,000 8,000 39,000 (108,000) $ 9,00e (3, 609) $ 5,400 Mutiple Choice 800 yearaExplanation / Answer
Q89: Cost / Investment= $48,000 , Estimated life = 6 years, salvage value = 0
After tax net income = $5,400 , Depreciation = $8,000
After tax cash flows = $5,400 + $8,000 = $13,400 annually
Payback period = Investment / Annual Cash flows = 48,000 / 13,400 = 3.58 years
Q104. Cost = $81,000 , Net Income = $2,900 , Depreciation = $27,000
Estimated life = 3 years, salvage value = 0, Discount Rate = 10%
Annual cashflows = Net income + depreciation = 2,900 + 27,000 = $29,900
PV of cashflows = 29,900 * PVAF(10% for 3 years) = 29,900 * 2.4869 = 74,358.31
NPV = 74,358.31 - 81,000 = (6,641.69)
Q106. Cost = $40,000, Annual cashflows = $12,000 in first 3 years and $16,000 in 4th year
PV of Cashflows = 12,000 * PVAF(8% for 3 years) + 16,000 * PVF(8% for 4 years)
= 12,000 * 2.5771 + 16,000 * 0.7350 = 30,925.20 + 11,760 = $42,685.20
NPV = 42,685.20 - 40,000 = $2,685.20
Q113. Cost = $1,812,000, Salvage Value = $33,000, After tax net income = $203,000
Estimated life = 3 years, Discount rate = 12%
Depreciation = 1,812,000 - 33,000 / 3 = 1,779,000/3 = $593,000
Cash flow = 203,000 + 593,000 = $796,000
PV of cashflows = 796,000 * PVAF(12% for 3 years) = 796,000 * 2.4018 = 1,911,832.80
NPV = 1,911,832.80 - 1,812,000 = $99,832.80
Question: Cost = $90,000 , Cash flow = $45,000 for 2 years and $40,000 for 3rd and 4th year
Life = 4 years , Discount rate = 10%
PV of cashflows = 45,000 * PVAF(10% for 2 years) + 40,000 * PVF(10% for 3 yeras) + 40,000 * PVF(10% for 4 years)
= 45,000 * 1.7355 + 40,000 * 0.751 + 40,000 * 0.683
= 78,097.50 + 30,040 + 27,320 = $135,457.50
NPV = 135,457.50 - 90,000 = $45,457.50
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