| Year | 1 | 2 | 3 | 4 | 5 |
| FCF | $1,000,000 | $1,050,000 | $1,208,000 | $1,329,000 | $1,462,000 |
C5 = 1,462,000
After Year 5, free cash flow growth will be stable at g = 7% per year. Currently, B&C has no nonoperating assets, and its WACC is r = 12%. Using the free cash flow valuation model, estimate the
(1) horizon value = C5 x (1 + g) / (r - g) = 1,462,000 x (1 + 7%) / (12% - 7%) = $ 31,286,800
(2) intrinsic value of operations = C1 / (1 + r) + C2 / (1 +
r)2 + C3 / (1 + r)3 + + C4 / (1 +
r)4 + (C5 + Horizon value) / (1 + r)5
= $1,000,000 / 1.12 + $1,050,000 / 1.122 +
$1,208,000 / 1.123 + $1,329,000 / 1.124 +
($1,462,000 + 31,286,800
) / 1.125
= $ 22,016,893
(3) intrinsic value of equity = 22,016,893 - value of debt = 22,016,893 - 2,000,000 = $ 20,016,893
and (4) intrinsic per share price = 20,016,893 / number of shares = 20,016,893 / 500,000 = $ 40.03
b)
| Abercrombe | Gunter | B & C | |
| 1)debt / assets (D / A) | (35 / 120)*100 = 29.16% | (50 / 292)*100 = 17.12% | (2 / 10)*100 = 20% |
| 2)P / E(market price / EPS) | 33 / 2.2 = 15 | 46 / 3.13 = 14.69 | 40.03/ 2.6 = 15.39 |
| 3)MARKET / BOOK | 33 / 17 = 1.94 | 46 / 22 = 2.09 | 40.03 / 18 = 2.22 |
| 4)ROE(EPS / BOOK VALUE) | (2.2 / 17)*100 = 12.94% | (3.13 / 22)*100 = 14.22% | (2.6 / 18)*100 = 14.44% |
| 5)PRICE(Market) / FCF | 33 / 1.63 = 20.24 | 46 / 2.54 = 18.11 | 40.03/ 2= 20.015 |
C)Range of prices:
| Price = P/E x EPS | Abercrombe | Gunter |
| P/E ratio | 15 | 14.69 |
| EPS Of B&C | 2.6 | 2.6 |
| Price of B&C | 39 | 38.194 |
| Using M/B values: | Abercrombe | Gunter |
| M/B ratio | 1.94 | 2.09 |
| Book value Of B&C | 18 | 18 |
| Price of B&C | 34.92 | 37.62 |
| Price = M/B ratio x book value of B&C |
| Using Price / FCF Ratios | Abercrombe | Gunter |
| Price/FCF ratio | 20.24 | 18.11 |
| FCF Of B&C | 2 | 2 |
| Price of B&C | 40.48 | 36.22 |
Using the above data
Range = lowest price to highest price
Range = 34.92 to 40.48
Price of B&C = $40.03
So the price is Within the range
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