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4. The Alabaster Corp. reported Net sales of 6.7 million, operating costs of 4.3

ID: 2732219 • Letter: 4

Question

4. The Alabaster Corp. reported Net sales of 6.7 million, operating costs of 4.3 million, and depreciation of $480,000 in 2009. Their interest charges were $325,000. They had cash, accounts receivable and inventories of $1.8 million, $5.6 million and $4.2 million, respectively, at the end of 2009. At the end of 2008, those three accounts were $1.9 million, $4.5 million, and $3.4 million respectively. Accounts payable and accruals were $3.0 million and $1.4 million, respectively, at the end of 2009, while at the end of 2008 they were $2.9 million and $1.3 million, respectively. Net plant and equipment was $12.8 million at the end of 2009 and $12.2 million at the end of 2008. Calculate Alabaster’s Net Income, Free Cash Flow and Return on Invested Capital for 2009. Assume a flat tax rate of 40%. How is the Free Cash Flow interpreted? In other words, what does it measure? (12 pts.)

Explanation / Answer

a) Calculation of Alabaster's net income for 2009 :-

Net income = Total revenues - Total expenses

Here, Total revenues = Net sales = $ 67,00,000

Now, calculation of total expenses :

Total expenses = Operating costs + Depreciation + Interest charges + Taxes

Here, operating costs = $43,00,000

Depreciation = $4,80,000

Interest charges = $3,25,000

since the taxes are not given directly, we will have to calculate the amount of taxes.

Amount of tax = Net income before tax*Tax rate

Here, net income before tax = 67,00,000 - (43,00,000 + 4,80,000 + 3,25,000) = $15,95,000

Hence, amount of tax = 15,95,000*40% = $6,38,000

Using the above formula,

Net income = $67,00,000 - (43,00,000 + 4,80,000 + 3,25,000 + 6,38,000) = $9,57,000

b) Calculation of free cash flow for 2009 :

Free cash flow can be calculated from net income using the following formula :

Free cash flow = Net income + Interest expense + Depreciation - Capital expenditure - Net changes in working capital - Tax shield on interest expense

Here, Net income $9,57,000 (calculated above)

Interest expense = $3,25,000 (given)

Depreciation = $4,80,000 (given)

Calculation of changes in working capital

Capital expenditure = Closing net plant and equipment - Opening net plant and equipment

= $12.8 million - $12.2 million = $6,00,000

Net changes in working capital = Closing working capital - Opening working capital

Working capital = Current assets - Current liabilities

Therefore, working capital = (Cash + Accounts receivables + Inventories) - (Accounts payables + Accruals)

Now, closing working capital =$ (1.8 + 5.6 + 4.2) - (3 + 1.4)million = $7.2 million = $72,00,000

Opening working capital = (1.9 + 4.5 + 3.4) - (2.9 + 1.3) = $5.6 million = $56,00,000

Therefore net changes in working capital = $72,00,000 - 56,00,000 = $16,00,000

Now, tax shield on interest expense = Interest charges*Tax rate = 3,25,000*.40 = $1,30,000

Therefore using the above formula, free cash flow =

9,57,000 + 3,25,000 + 4,80,000 - 6,00,000 - 16,00,000 - 1,30,000 = $(5,68,000)

c) Calculation of Return on invested capital for 2009 :

Return on Invested capital = Net income / Invested capital

Invested capital = Operating assets + Fixed assets - Operating liabilities

Here, operating assets = Accounts receivable + Inventories = 56,00,000 + 42,00,000 = $98,00,000

Fixed assets = $1,28,00,000

Operating liabilities = Accounts payable + Accruals = 30,00,000 + 14,00,000 = $ 44,00,000

Therefore, Invested capital = 98,00,000 + 1,28,00,000 - 44,00,000 = $1,82,00,000

Hence, Return on invested capital = 957,000 / 1,82,00,000 = 5.25%

Interpretation of free cash flow :

Free cash flow (FCF) represents the cash that a company is able to generate after laying out the money required to maintain or expand its asset base. Since, in the given question the free cash flow turns out to be negative, it can be interpreted that the company is making large investments and expanding its asset base.

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