Question

Leisure Lodge Corporation is expected to pay the following dividends over the next four years: $22.00, $15.00, $6.00 and $3.20. Afterwards, the company pledges to maintain a constant 4 percent growth rate in dividends forever. If the required return on the stock is 19 percent, what is the current share price

Answer 1

Answer:

P0 = $45.299899  rounded off to $45.30

Explanation:

The dividend discount model (DDM) can be used to calculate the price of the stock today. DDM calculates the price of a stock based on the present value of the expected future dividends from the stock. The formula for price today under DDM is,

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

Where,

• D1, D2, ... , Dn is the dividend expected in Year 1,2 and so on

• g is the constant growth rate in dividends

• r is the discount rate or required rate of return

P0 = 22 / (1+0.19)  +  15 / (1+0.19)^2  +  6 / (1+0.19)^3  + 3.2 / (1+0.19)^4  +  

[(3.2 * (1+0.04) / (0.19 - 0.04)) / (1+0.19)^4]

P0 = $45.299899  rounded off to $45.30

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