In: Finance
As of December 31, 2009, a company’s assets consisted of $60,000 of cash, $120,000 of marketable securities, $200,000 of accounts receivable, $300,000 of inventory, and $1,200,000 of net plant and equipment. Its liabilities consisted of $50,000 of accounts payable, $20,000 of accruals, $70,000 of notes payable, and $600,000 of long-term debt. As of December 31, 2010, the company’s assets consisted of $70,000 of cash, $140,000 of marketable securities, $250,000 of accounts receivable, $400,000 of inventory, and $1,300,000 of net plant and equipment. Its liabilities consisted of $65,000 of accounts payable, $15,000 of accruals, $75,000 of notes payable, and $600,000 of long-term debt. In 2010, the company’s annual sales were $4,700,000, earnings before interest and taxes were $800,000, it paid $60,000 of interest, and its tax rate was 30%. The company’s weighted average cost of capital is 11% per year and it has 500,000 shares of common stock outstanding. The company expects its free cash flow to grow forever at a rate of 6% per year. Estimate the value per share of the company’s common stock.
Step1: Computation of the net working capital change for the year 2009 & 2010.We have,
Current Asset | 2009 | 2010 |
Cash | 60,000 | 70,000 |
Marketable Securities | 120,000 | 140,000 |
Account Receivable | 200,000 | 250,000 |
Inventory | 300,000 | 400,000 |
Total Current Asset | 680,000 | 860,000 |
Current Liablities: | ||
Account Payable | 50,000 | 65,000 |
Accruals | 20,000 | 15,000 |
Note payable | 70,000 | 75,000 |
Total Current Liabilities | 140,000 | 155,000 |
Net Working Capital | $ 540,000 | $ 705,000 |
Change in Net Working Capital = 705,000 - 540,000 = $ 165,000
Step2: Computation of the capital expenditure in 2010.We have,
Capital expenditure in 2010 = Net plant and equipment in 2010 - Net plant and equipment in 2009
Capital expenditure in 2010 = 1,300,000 - 1,200,000 = $ 100,000
Step3: Computation of the operating free cash flow(OFCF).We have,
OFCF = EBIT(1-tax rate) - Capital expenditure - Change in Working Capital
OFCF = 800,000 (1 - 0.30) - 100,000 - 165,000
OFCF = $ 295,000
Step4: Computation of the value of firm.We have,
If the constant growth rate, the value of the firm is calculating by given formula,
Value of Firm = OFCF / (wacc - g)
Value of Firm = 295,000 / ( 0.11 - 0.06)
Value of Firm = 295,000 / 0.05
Value of Firm = $ 5,900,000
Step5: Computation of the value of Firm per common stock.We have,
Value fo firm per common stock = Value of Firm / Number of outstanding share
Value of firm per common stock = 5,900,000 / 500,000
Value of Firm per common stock = $ 11.80
Hence,the value per share of the company’s common stock is $ 11.80