Math Problem Statement

Giraffe, Incorporated, has sales of $53,000, costs of $24,200, depreciation expense of $2,550, and interest expense of $2,300. If the tax rate is 24 percent, what is the operating cash flow, or OCF?

Note: Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.

Solution

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

OCF=EBIT+DepreciationTaxesOCF = EBIT + Depreciation - Taxes

Where:

  • EBIT is Earnings Before Interest and Taxes.
  • Depreciation is a non-cash charge that reduces taxable income but does not affect cash flow.
  • Taxes are calculated based on the taxable income.

Let's go step by step.

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

EBIT=SalesCostsDepreciationEBIT = Sales - Costs - Depreciation

Given:

  • Sales = $53,000
  • Costs = $24,200
  • Depreciation = $2,550

EBIT=53,00024,2002,550=26,250EBIT = 53,000 - 24,200 - 2,550 = 26,250

2. Calculate Taxes:

First, calculate the taxable income (which is EBIT - Interest Expense):

Taxable Income=EBITInterest ExpenseTaxable\ Income = EBIT - Interest\ Expense

Given:

  • Interest Expense = $2,300

Taxable Income=26,2502,300=23,950Taxable\ Income = 26,250 - 2,300 = 23,950

Now calculate the taxes using the tax rate of 24%:

Taxes=Taxable Income×Tax RateTaxes = Taxable\ Income \times Tax\ Rate

Taxes=23,950×0.24=5,748Taxes = 23,950 \times 0.24 = 5,748

3. Calculate the OCF:

Now that we have the necessary components, we can calculate OCF:

OCF=EBIT+DepreciationTaxesOCF = EBIT + Depreciation - Taxes

OCF=26,250+2,5505,748=23,052OCF = 26,250 + 2,550 - 5,748 = 23,052

So, the Operating Cash Flow (OCF) is $23,052.


Would you like a more detailed breakdown of any part of the calculation? Or do you have any other questions?

Here are some related questions you might find useful:

  1. How does depreciation affect the calculation of operating cash flow?
  2. What is the difference between operating cash flow (OCF) and net income?
  3. How do you calculate free cash flow from operating cash flow?
  4. Why do we subtract taxes in the OCF calculation, even though taxes are an expense?
  5. How does interest expense affect OCF, and why is it excluded from the calculation?

Tip: Operating cash flow is often used to determine the financial health of a company, as it reflects cash generated by the company's core business operations.

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Math Problem Analysis

Mathematical Concepts

Operating Cash Flow
Earnings Before Interest and Taxes (EBIT)
Depreciation
Tax Calculation

Formulas

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

Theorems

Operating Cash Flow Theorem

Suitable Grade Level

Grades 10-12