# Free cash flow, FCF

**Definition**

Free cash flow (FCF) is the amount of cash available to investors after assets investments are made. In other words, FCF can be defined as net operating profit after taxes (NOPAT) less change in net working capital and change in fixed assets. It is a very useful metric for investors because it shows how much cash can be extracted from a business without damaging its operations.

**Formula**

There are many approaches to calculate free cash flow depending on the required accuracy of the appraisal. The most precise appraisal can be given using the following approach:

where NOPAT is net operating profit after taxes, and change in invested capital is the difference between the amount of invested capital at the end of the period and the amount of invested capital at the beginning of the period. __See here__ how to calculate NOPAT, and follow __these guidelines__ to calculate invested capital!

If a rough appraisal of free cash flow is needed, the following formula can be used:

where change in net working capital is the difference between the amount of net working capital at the end of the period and the amount of net working capital at the beginning of the period. Change in fixed assets is the difference between the amount of fixed assets at the end of the period and the amount of fixed assets at the beginning of the period.

In turn, net working capital can be calculated as follows:

where NIBCLs are noninterest-bearing current liabilities (e.g., accounts payable and accrual liabilities).

The formula of free cash flow above can be modified as follows:

where DA is depreciation and amortization, and CAPEX is capital expenditures.

**Free cash flow calculation example**

XYZ Company reported the following financial results for the last year:

__Balance sheet, US $ in thousands__

__Income statement__

As mentioned above, free cash flow is the difference between NOPAT and the change in invested capital.

To get the exact invested capital number, we need to sum current assets less NIBCLs (accounts payable, accrual liabilities, advances received, and accrued taxes payable) and noncurrent assets (property, plant and equipment, and other noncurrent assets). This number should be adjusted by subtracting the amount of deferred tax liabilities.

Invested capital _{December 31 2014} = 14,610 – (3,100+660+50+700) + 26,500 + 4,760 – 230 = $41,130K

Invested capital _{December 31 2015} = 15,710 – (2,900+570+110+630) + 28,000 + 5,120 -370 = $44,250K

Thus, the change in invested capital is $3,120K.

As far as EBIT (also known as operating income) is disclosed in the income statement, the following series of adjustments should be made to get the exact NOPAT number:

- add back the change in allowance of doubtful accounts of $24K ($140K-$116K)
- subtract the difference in deferred tax liabilities of $140K ($370K-$230K)
- subtract the declared provision for taxes of $1,797K

NOPAT = 7,710 + 24 – 140 – 1,797 = $5,797K

So, the free cash flow of the Company is $2,677K.

FCF = 5,797 – 3,120 = $2,677K