In: Finance
Dantzler Corporation is a fast-growing supplier of office products. Analysts project the following free cash flows (FCFs) during the next 3 years, after which FCF is expected to grow at a constant 5% rate. Dantzler's WACC is 14%.
Year | 0 | 1 | 2 | 3 | ||||
....... | ....... | ....... | ....... | ....... | ....... | ....... | ....... | |
....... | ....... | ....... | ....... | ....... | ....... | ....... | ...... | |
FCF ($ millions) | - $18 | $15 | $53 |
Part (a):
Dantzler’s horizon or continuing value:
PV of FCF4 onwards, as at the end of year 3= FCF3*(1+g)/(r-g)
Where FCF3= FCF for year 3 (given as $53 Million), g= constant growth rate (given as 5%) and r= WACC (given as 14%)
Plugging these values,
PV of FCF as at year 3 = $53*(1+0.05)/(0.14-0.05) = $618.33 Million
Part (b):
Firm’s market value today= Sum of PV of future FCFs using the formula FCF/(1+r)^n
Where r= WACC and n= respective year of the FCF.
Given, FCF1= -$18 Million, FCF2= $15 Million and FCF3= $53 Million
PV of FCFs after year 3, as at the end of year 3= $618.33 as in part (a).
Market value today= -18/(1+0.14) + 15/(1+0.14)^2 + 53/(1+0.14)^3 + 618.33/(1+0.14)^3
= -15.78947368 + 11.54201293 + 35.77349036 + 417.3573875 = $ 448.88 Million
Part (c ):
Given, value of debt= $146.30 Million and number of shares= 18 Million.
Market capitalization= Value of firm- Debt = $448.88 Million- $146.30 = $302.58 Million
Current price per share= Market capitalization/ Number of shares
= $302.58 Million/18 Million = $16.81