Math Problem Statement
Marsha owns a manufacturing business that had sales of $2,000,000 last year. Its operating costs were $600,000 (excluding depreciation). The business has equipment that they bought for a total of $1,500,000 five years ago. The equipment is being depreciated straight-line to zero over 10 years. If the tax rate is 25%, what were the company's operating cash flows (OCF) last year?
Solution
To determine the Operating Cash Flows (OCF) for Marsha's business, we follow these steps:
1. Calculate Depreciation Expense:
The equipment cost is $1,500,000, and it is depreciated straight-line to zero over 10 years.
2. Calculate Operating Income (EBIT):
Operating income is calculated as:
3. Calculate Taxes:
Taxes are calculated on the EBIT:
4. Net Income:
Net income is:
5. Add Back Depreciation to Compute OCF:
Operating cash flow is net income plus non-cash expenses (depreciation in this case):
Final Answer:
The company's Operating Cash Flows (OCF) last year were $1,087,500.
Would you like a breakdown of any step?
Further Exploration:
- What are the implications of higher depreciation on cash flows?
- How would OCF change if the tax rate were reduced?
- What if the equipment was depreciated over 15 years instead?
- How does straight-line depreciation compare to accelerated depreciation in cash flow impact?
- Why is depreciation added back when calculating cash flow?
Tip: Always add back non-cash expenses (like depreciation) to EBIT when calculating cash flows, as they do not affect actual cash movement.
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Math Problem Analysis
Mathematical Concepts
Depreciation
Operating Income (EBIT)
Taxation
Net Income
Operating Cash Flow
Formulas
Depreciation Expense = Equipment Cost / Useful Life
EBIT = Sales - Operating Costs - Depreciation
Taxes = EBIT × Tax Rate
Net Income = EBIT - Taxes
OCF = Net Income + Depreciation
Theorems
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Suitable Grade Level
College/University (Business/Finance students)
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