The owner of a bicycle repair shop forecasts revenues of $164,000 a year. Variab
ID: 2754492 • Letter: T
Question
The owner of a bicycle repair shop forecasts revenues of $164,000 a year. Variable costs will be $51,000, and rental costs for the shop are $31,000 a year. Depreciation on the repair tools will be $11,000. The tax rate is 40%.
a. Calculate operating cash flow for the year by using all three methods: (a) adjusted accounting profits; (b) cash inflow/cash outflow analysis; and (c) the depreciation tax shield approach.
b. Are the above answers equal?
Method Operating Cash Flow Adjusted accounting profits $ Cash inflow/cash outflow analysis Depreciation tax shield approachExplanation / Answer
a)1)Adjusted accounting profits
operating cash flow=accounting profit+Depreciation
accounting profit
=(revenues-Variable costs-rental costs-Depreciation)*(1-TaxRate)
=(164,000-51,000-31,000-11000)*(1-40%)
=42600
accounting profit=42600
Thus, operating cash flow=42600+11000=$ 53600
2)Cash inflow/cash outflow analysis
operating cash flow=revenues-cash expenses as Variable costs and rental costs-Taxes
operating cash flow=164,000-51,000-31,000-Taxes
Taxes=(revenues-Variable costs-rental costs-Depreciation)*(TaxRate)
Taxes=(164,000-51,000-31,000-11000)*(40%)
Taxes=28400
operating cash flow=164,000-51,000-31,000-28400=$ 53600
3)Depreciation tax shield approach
operating cash flow=(revenues-cash expenses as Variable costs and rental costs)*(1-TaxRate)+TaxShield
operating cash flow=(revenues-cash expenses as Variable costs and rental costs)*(1-TaxRate)+Depreciation*TaxRate
operating cash flow=(164,000-51,000-31,000)*(1-.40)+11000*.40
operating cash flow=49200+4400
operating cash flow=$ 53600
b) Yes the above answers are equal.
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