Question

Lawrence​ Industries' most recent annual dividend was ​$1.80 per share ​(D0equals$ 1.80​), and the​ firm's required return is 11​%. Find the market value of​ Lawrence's shares when dividends are expected to grow at 8​% annually for 3​ years, followed by a 5​% constant annual growth rate in years 4 to infinity.

Answer 1

The price of the stock today is $34.13

Step-by-step explanation:

The price of the stock that grows at two different growth rates can be calculated using the two stage growth model of DDM. The DDM requires to discount back the dividends to calculate the price of the share today.

The price of the stock today is,

P0 = D1 / (1+r) + D2 / (1+r)^2 + ... + Dn / (1+r)^n + [(Dn * (1+g) / (r - g)) / (1+r)^n]

P0 = 1.8 * (1+0.08) / (1+0.11) + 1.8 * (1+0.08)^2 / (1+0.11)^2 +

1.8 * (1+0.08)^3 / (1+0.11)^3 + [ (1.8 * (1+0.08)^3 *(1+0.05) / (0.11-0.05)) / (1+0.11)^3]

P0 = $34.127 rounded off to $34.13