Answer:
The terminal, or horizon, date is infinity since common stocks do not have a maturity date.
the firm's intrinsic value today=15.99
Step-by-step explanation:
What is the firm's horizon, or continuing, value?
Price of the stock at t = 0 is the sum of the present values of all expected cash-flows.
[tex]P0=\frac{D1}{1+ke} +\frac{D2}{(1+ke)^2}+\frac{D3}{(ke-g)(1+ke)^2}[/tex]
Where D1 = D0(1+g1) = $1.25(1.19)=$1.4875
D2 = D1(1+g2) = $1.25(1.19)(1.19)= $1.770125
D3= D2(1+g3)=$1.25(1.19)(1.19)(1.1)= $1.9471375
ke=0.2
Note, at the end of year 2, we can value the present value of all the remaining dividends from D3 being the next expected dividend till infinity by using the constant growth model where [tex]P2=\frac{D3}{ke-g}[/tex]. This value at the end of year 2 still has to be discounted 2 years back to get the PV at t=0.
Therefore [tex] PO =\frac{1.4875}{1+0.2} +\frac{1.770125}{(1+0.2)^2}+\frac{1.9471375}{(0.2-0.1)(1+0.2)^2}[/tex] = $15.99