Math Problem Statement

Calculate the FCF for 2012

Solution

To calculate the Free Cash Flow (FCF) for 2012, we need to use the formula:

FCF=EBIT×(1Tax rate)+DepreciationChange in Net Working CapitalCapital Expenditure\text{FCF} = \text{EBIT} \times (1 - \text{Tax rate}) + \text{Depreciation} - \text{Change in Net Working Capital} - \text{Capital Expenditure}

From the provided image, let's extract the necessary details:

  • EBIT (Earnings Before Interest and Taxes): 11,54011,540
  • Tax Rate: 36.5%36.5\%
  • Depreciation: Not directly given, but it can be inferred from the difference in Accumulated Depreciation.
  • Net Working Capital (NWC): NWC=Current AssetsCurrent Liabilities\text{NWC} = \text{Current Assets} - \text{Current Liabilities}
  • Capital Expenditure (CapEx): Can be inferred from the change in Net Fixed Assets.

Step 1: Calculate NWC for 2011 and 2012

  • Current Assets 2012: 19,59919,599 (sum of Cash, Receivables, Inventory)

  • Current Liabilities 2012: 3,7263,726 (sum of Commercial paper, Payables, Other short-term debt)

  • NWC 2012: 19,5993,726=15,87319,599 - 3,726 = 15,873

  • Current Assets 2011: 21,51421,514 (sum of Cash, Receivables, Inventory)

  • Current Liabilities 2011: 4,0754,075 (sum of Commercial paper, Payables, Other short-term debt)

  • NWC 2011: 21,5144,075=17,43921,514 - 4,075 = 17,439

  • Change in NWC: 15,87317,439=1,56615,873 - 17,439 = -1,566

Step 2: Estimate Depreciation

Depreciation can be found by the difference in Accumulated Depreciation:

  • Accumulated Depreciation 2012: 30,37130,371
  • Accumulated Depreciation 2011: 27,07027,070
  • Depreciation Expense: 30,37127,070=3,30130,371 - 27,070 = 3,301

Step 3: Estimate Capital Expenditure (CapEx)

CapEx can be inferred from the change in Net Fixed Assets:

  • Net Fixed Assets 2012: 27,36727,367
  • Net Fixed Assets 2011: 25,42925,429
  • CapEx: 27,36725,429+3,301=5,23927,367 - 25,429 + 3,301 = 5,239

Step 4: Calculate FCF

Now we have all the needed values:

FCF=11,540×(10.365)+3,301(1,566)5,239\text{FCF} = 11,540 \times (1 - 0.365) + 3,301 - (-1,566) - 5,239

FCF=11,540×0.635+3,301+1,5665,239\text{FCF} = 11,540 \times 0.635 + 3,301 + 1,566 - 5,239

FCF=7,326.9+3,301+1,5665,239=6,954.96,955\text{FCF} = 7,326.9 + 3,301 + 1,566 - 5,239 = 6,954.9 \approx 6,955

So, the Free Cash Flow (FCF) for 2012 is approximately $6,955.

Would you like to go into further details or have any other questions?

Related Questions:

  1. How would changes in the tax rate affect the Free Cash Flow calculation?
  2. What impact does an increase in working capital have on Free Cash Flow?
  3. How do we interpret negative Free Cash Flow in a business?
  4. What could cause large changes in Net Fixed Assets between two years?
  5. How does EBIT relate to overall profitability and Free Cash Flow?

Tip: Always double-check the components of Free Cash Flow, especially working capital and capital expenditures, as they can significantly impact the final number.

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Math Problem Analysis

Mathematical Concepts

Free Cash Flow (FCF)
Financial Analysis

Formulas

FCF = EBIT × (1 - Tax rate) + Depreciation - Change in Net Working Capital - Capital Expenditure

Theorems

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Suitable Grade Level

Advanced Financial Analysis