Solution to question 1
Depreciation in straight-line method = Cost of purchase - salvage value/depreciable life
= $200,000/4 = $50,000
net income = EBITDA - depreciation - tax
tax = tax rate * ( EBITDA - depreciation)
cash flow from operation = net income + non-cash items (depreciation)
Net income for year 1 = $70,000 - $50,000 - [0.21 * ( $70,000-$50,000)] = $20,000 - (0.21 * $20,000)
=$20,000 - $4,200 = $15,800
cash flow from operation in year 1 = $15,800 + $50,000 = $65,800
Net income for year 2 = ($70,000*1.06) - $50,000 - [0.21 * {( $70,000*1.06) - $50,000)}] = $74,200 - $50,000 - [0.21 * ( $74,200-$50,000)]
= $24,200 - (0.21 * $24,200)
=$24,200 - $5,082 = $19,118
cash flow from operation in year 2 = $19,118 + $50,000 = $69,118
Similarly,
Net income for year 3 = ($74,200*1.06) - $50,000 - [0.21 * {( $74,200*1.06) - $50,000)}] = $78,652 - $50,000 - [0.21 * ( $78,652 - $50,000)]
= $28,652 - (0.21 * $28,652)
= $28,652 - $6,016.92 = $22,635.08
cash flow from operation in year 3 = $22,635.08 + $50,000 = $72,635.08
Solution to question 2
Salvage value at the end of year 3 was $10,000
tax on sale of machine = tax rate * (salvage value - book value)
book value at the end of year 3 = cost of equipment - depreciation for 3 years = $200,000 - 3* $50,000 = $50,000
There will be a tax refund because book value is higher than salvage value
Tax refund = tax rate * (book value - salvage value) = 0.21 * ($50,000 - $10,000) = 0.21* $40,000 = $8,400
after-tax salvage value = salvage value + tax refund = $10,000 + $8,400 = $18,400
Solution for question 3
Free cash flow for year 1 = $65,800 as calculated above
free cash flow for year 2 = $69,118 as calculated above
free cash flow for year 3 = cash flow from operations in year 3 + after-tax salvage value + recapture of net working capital
= $72,635.08 + $18,400 + $10,000 = $101,035.08
What are the annual cash flow from operations in years 1,2 and 3 ? Compute the...
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