Question

Brushy Mountain Mining Company's ore reserves are being depleted, so its sales are falling. Also, its pit is getting deeper each year, so its costs are rising. As a result, the company's earnings and dividends are declining at the constant rate of 6% per year. What is the value of Brushy Mountain's stock (in dollars) if the company is expected to pay $4.40/share in dividend at t

Answer 1

The question is incomplete. The complete Question is,

Brushy Mountain Mining Company's coal reserves are being depleted, so its sales are falling. Also, environmental costs increase each year, so its costs are rising. As a result, the company's earnings and dividends are declining at the constant rate of 4% per year. If D0 = $2 and rs = 17%, what is the estimated value of Brushy Mountain's stock?

Answer:

P0 = $9.1428 rounded off to 9.14

This answer is for the question above. Change the values and use the same formula if the values differ

Explanation:

The constant growth model of 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 constant growth DDM is,

P0 = D0 * (1+g) / (r - g)

Where,

D0 * (1+g) is the dividend expected in Year 1 or next year

g is the constant growth rate in dividends

r is the discount rate or required rate of return

P0 = 2 * (1-0.04)  /  (0.17 + 0.04)

P0 = $9.1428 rounded off to 9.14