Quantitative Problem 1: Assume today is
December 31, 2016. Barrington Industries expects that its 2017
after-tax operating income [EBIT(1 – T)] will be $440 million and
its 2017 depreciation expense will be $60 million. Barrington's
2017 gross capital expenditures are expected to be $100 million and
the change in its net operating working capital for 2017 will be
$25 million. The firm's free cash flow is expected to grow at a
constant rate of 6.5% annually. Assume that its free cash flow
occurs at the end of each year. The firm's weighted average cost of
capital is 8.7%; the market value of the company's debt is $2.1
billion; and the company has 180 million shares of common stock
outstanding. The firm has no preferred stock on its balance sheet
and has no plans to use it for future capital budgeting projects.
Using the free cash flow valuation model, what should be the
company's stock price today (December 31, 2016)? Round your answer
to the nearest cent. Do not round intermediate calculations.
$ per share
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Answer:
Year | 2017 | ||||||
ebit (1-t) | 440 | ||||||
add | depreciation exp | 60 | |||||
total | a | 500 | |||||
less | capital expense | 100 | |||||
less | working capital | 25 | |||||
total | b | 125 | |||||
Free cash flow | a-b | 375 | |||||
in millions | 375000000 | ||||||
divided by | k-g | ||||||
k | 8.7 | ||||||
g | 6.5 | ||||||
2.2 | |||||||
therefore | 375000000 | ||||||
0.022 | |||||||
value of the firm |
|
||||||
less value of debt | 2100000000 | ||||||
value of equity | a |
|
|||||
number of shares | b | 180000000 | |||||
per share value | a/b | 83.03 | |||||
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