Question

The Three Amigos Restaurant just paid an annual dividend of $4.20 per share and is expected to pay annual dividends of $4.40 and $4.50 per share the next two years, respectively. After that, the firm expects to maintain a constant dividend growth rate of 2 percent per year. What is the value of this stock today if the required return is 15 percent?

Answer 1

$33.93

Step-by-step explanation:

First, find the present value of each year's dividend at 15% required rate of return;

(PV of D1 ) = 4.40 / (1.15) = 3.8261

(PV of D2 ) = 4.50 / (1.15²) = 3.4026

Next, find terminal Cashflow;

D3 = D2 (1+g)

D3 = 4.50 (1.02) = 4.59

(PV of D4 onwards ) =
`((4.59)/(0.15-0.02) )/((1.15)^(2) ) \\ \\ = (35.3077)/(1.3225) \\ \\ = 26.6977`

Next sum up the PVs to find price;

=3.8261 + 3.4026 + 26.6977

= 33.926

Therefore, this stock is worth $33.93 today