Math Problem Statement
A 3-year project requires the purchase of a machine (fixed asset) for $6,000 in Year 0. In Year 2, the project is expected to have net income of $2,500 and the depreciation rate is 45%. The tax rate is 35%. There is no interest expense.
What is the Operating Cash Flow in Year 2?
Solution
To calculate the Operating Cash Flow (OCF) in Year 2, we use the following formula:
Since there's no mention of changes in working capital, we'll assume it to be zero.
Step 1: Depreciation
The depreciation is based on the machine’s cost of $6,000 and a depreciation rate of 45%. Since the project spans 3 years, we assume straight-line depreciation is being applied (as depreciation rate is not specified per year).
For Year 2, the depreciation expense would be:
Step 2: Net Income
The net income in Year 2 is provided as $2,500.
Step 3: Tax Adjustment
Operating Cash Flow (OCF) involves adding back depreciation because it's a non-cash expense. Also, we need to adjust for taxes, so we need to calculate the tax impact on net income.
Since the tax rate is 35%, the net income already reflects tax effects. So, we simply add the depreciation back to get the operating cash flow.
Step 4: Calculation
Now, let’s calculate the Operating Cash Flow:
Conclusion:
The Operating Cash Flow in Year 2 is $5,200.
Would you like more details on any step? Feel free to ask.
Here are 5 related questions for further exploration:
- How do depreciation methods impact cash flow calculations?
- What is the effect of a change in tax rate on operating cash flow?
- How would changes in working capital affect the operating cash flow?
- What is the role of net income in calculating cash flow?
- How does the depreciation rate impact tax savings?
Tip: Always verify if there are any changes in working capital when calculating OCF, as they can significantly impact the result!
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Math Problem Analysis
Mathematical Concepts
Operating Cash Flow
Depreciation
Tax Adjustments
Formulas
OCF = Net Income + Depreciation - Changes in Working Capital
Depreciation = Asset Cost × Depreciation Rate
Theorems
Operating Cash Flow Calculation
Tax Adjustment on Net Income
Suitable Grade Level
Grades 11-12
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