Math Problem Statement
Pink Industrial is evaluating a 4-year project that would require an initial investment in equipment of $695,000. The equipment would be depreciated to $107,000 over 7 years using straight-line depreciation. In year 4, the project is expected to have relevant revenue of $336,000 and relevant variable costs of $249,000. In addition, Pink Industrial would have one source of fixed costs associated with the project. Yesterday, Pink Industrial signed a deal with Diamond Marketing to develop an advertising campaign for the project. The terms of the deal require Pink Industrial to pay $56,000 to Diamond Marketing in 4 years. The tax rate is 40 percent. What is the operating cash flow for year 4 that Pink Industrial should use in its NPV analysis of the project?
Input instructions: Round your answer to the nearest dollar.
Solution
To calculate the operating cash flow (OCF) for year 4, we'll follow these steps:
-
Calculate Depreciation Expense:
The equipment is depreciated from an initial value of $695,000 to $107,000 over 7 years using straight-line depreciation.
-
Calculate Earnings Before Interest and Taxes (EBIT) for Year 4:
- Revenue for Year 4: $336,000
- Variable Costs for Year 4: $249,000
- Depreciation Expense: $84,000
-
Calculate Taxes:
The tax rate is 40%, so: -
Calculate Net Income:
-
Calculate Operating Cash Flow (OCF) for Year 4:
OCF is given by:
Thus, the operating cash flow for year 4 that Pink Industrial should use in its NPV analysis is $85,800.
Would you like more details or have questions on any part of this solution?
Here are some further questions you might consider:
- How would changing the depreciation method impact the OCF calculation?
- What would be the effect of a different tax rate on the operating cash flow?
- How would the OCF change if the project’s revenue or variable costs differed?
- How does straight-line depreciation differ from other depreciation methods?
- What role does the fixed cost play in this NPV analysis?
Tip: Always separate variable and fixed costs in project evaluations to clarify their impact on net income and cash flow.
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Math Problem Analysis
Mathematical Concepts
Depreciation
Operating Cash Flow
Net Income
Taxes
NPV Analysis
Formulas
Depreciation per year = (Initial Cost - Salvage Value) / Depreciation Period
EBIT = Revenue - Variable Costs - Depreciation
Taxes = EBIT × Tax Rate
Net Income = EBIT - Taxes
Operating Cash Flow = Net Income + Depreciation
Theorems
Straight-Line Depreciation
Tax Impact on Cash Flow
Suitable Grade Level
Grades 11-12
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