Math Problem Statement

Graff, Incorporated, has sales of $39,230, costs of $12,930, depreciation expense of $2,630, and interest expense of $1,910. The tax rate is 22 percent. What is the operating cash flow, or OCF?

Solution

To calculate the Operating Cash Flow (OCF), we use the following formula:

OCF=(SalesCostsTaxes)+DepreciationOCF = (Sales - Costs - Taxes) + Depreciation

We break it down step by step.

Step 1: Calculate Earnings Before Interest and Taxes (EBIT)

EBIT is the company's earnings from operations before subtracting interest and taxes.

EBIT=SalesCostsDepreciationEBIT = \text{Sales} - \text{Costs} - \text{Depreciation}

EBIT=39,23012,9302,630=23,670EBIT = 39,230 - 12,930 - 2,630 = 23,670

Step 2: Calculate Taxable Income

Taxable Income is EBIT minus Interest Expense.

Taxable Income=EBITInterest Expense\text{Taxable Income} = EBIT - \text{Interest Expense}

Taxable Income=23,6701,910=21,760\text{Taxable Income} = 23,670 - 1,910 = 21,760

Step 3: Calculate Taxes

We now calculate the taxes owed using the tax rate of 22%.

Taxes=Taxable Income×Tax Rate\text{Taxes} = \text{Taxable Income} \times \text{Tax Rate}

Taxes=21,760×0.22=4,787.20\text{Taxes} = 21,760 \times 0.22 = 4,787.20

Step 4: Calculate Net Income

Net Income is Taxable Income minus Taxes.

Net Income=Taxable IncomeTaxes\text{Net Income} = \text{Taxable Income} - \text{Taxes}

Net Income=21,7604,787.20=16,972.80\text{Net Income} = 21,760 - 4,787.20 = 16,972.80

Step 5: Calculate Operating Cash Flow (OCF)

Finally, OCF is Net Income plus Depreciation (since depreciation is a non-cash expense).

OCF=Net Income+DepreciationOCF = \text{Net Income} + \text{Depreciation}

OCF=16,972.80+2,630=19,602.80OCF = 16,972.80 + 2,630 = 19,602.80

Final Answer:

The Operating Cash Flow (OCF) is $19,602.80.


Would you like more details on any part of this? Here are some related questions to consider:

  1. How does depreciation affect cash flow in financial statements?
  2. What are the differences between OCF and net income?
  3. Can OCF be negative, and what does that indicate about a company?
  4. How does interest expense impact taxable income?
  5. Why is EBIT used to calculate taxable income?

Tip: Understanding how non-cash expenses (like depreciation) are added back in OCF helps in analyzing cash flow beyond just profits.

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Math Problem Analysis

Mathematical Concepts

Finance
Algebra

Formulas

OCF = (Sales - Costs - Taxes) + Depreciation
EBIT = Sales - Costs - Depreciation
Taxable Income = EBIT - Interest Expense
Taxes = Taxable Income * Tax Rate
Net Income = Taxable Income - Taxes
OCF = Net Income + Depreciation

Theorems

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Suitable Grade Level

College/University (Finance or Accounting)