Answer:
firm value 20,850,000
equity value 15,850,000
Explanation:
firm value = Fre Cash Flow Firm discounted at the WACC
Similar to the gordon model but using the Free Cash Flow of the Firm instead of dividends:
[tex]\frac{FFCF_1}{WACC-growth} = Intrinsic \: Value[/tex]
WACC = 12%
growth = 5%
FFCF1 would be the next Free Cash Flow of the Firm
EBIT - Income Tax + Depreciation - Working Capital Investment = Free Cash Flow Firm
Working Capital Investment: 19% of ebit
1,900,000 x 19% = 361,000
Depreciation 250,000
income tax 21% of ebit = 399,000
1,900,000 - 361,000 - 399,000 + 250,000 = 1,390,000 Current Year
FFCF x (1+g) = FFCF1 = 1,390,000 x 1.05 = 1,459,500
Now we calculate the firm value
1,459,500/(0.12-0.05) = 20,850,000
If the firm has 5,000,000 debt then their equity is:
equity value = firm value – market value of debt
20,850,000 - 5,000,000 = 15,850,000