According to the value-based management model, what is the stock price per share given the following data?
Year |
1 |
|
Revenue |
725.00 |
|
Fixed costs |
100.00 |
|
Variable costs |
300.00 |
|
Additional investment in NWC |
3.00 |
|
Additional investment in operating long-term assets |
80.00 |
|
Depreciation |
75.00 |
|
Tax rate |
0.40 |
The free cash flow is expected to grow at 8% from year 1 to year 5 and 6% after year 5 to infinity. WACCcomp =15%.
Market value of the firm: |
|||
Price per share |
Number of shares |
Market value |
|
Long-term debt |
700.00 |
||
Preferred stock |
7.00 |
10 |
70.00 |
Common stock, equity |
15.00 |
100 |
1,500.00 |
Total |
2,270.00 |
Market value of non-operating short-term assets=50
Market value of non-operating long-term assets=80
Select one:
a. $10.38
b. $21.97
c. $14.22
d. $7.54
e. $18.54
EBIT = 650 -90-220 -75 = 265
Free csh flow = EBIT*(1- tax rate) + Depreciation - Additional WC - capital expenditure
Free cash flow(FCF1) = 265*(1-0.4) +75 -3 -80 = 151
FCF2 = 151*1.08 = 163.08
FCF3 = 163.08*1.08 = 176.1264
FCF4 = 176.1264 *1.08 = 190.2165
FCF5 = 190.2165 *1.08 = 205.4338
FCF6 = 205.4338*1.03 = 211.5968
Horizon value at the end of year 5 = FCF6/(r-g) = 211.5968/(0.15-0.03) = $1,763.31
Current Value = 151/1.15 + 163.08/1.15^2 + 176.1264/1.15^3 +190.2165/1.15^4 + 205.4338/1.15^5 + 1763.31/1.15^5 = 1457.993
Current price per share = (1457.993 -700)/100 = 7.54 (option D)
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