Metallica Bearings, Inc., is a young start-up company. No dividends will be paid on the stock over the next nine years because the firm needs to plow back its earnings to fuel growth. The company will pay a dividend of $17 per share 10 years from today and will increase the dividend by 3.9 percent per year thereafter. If the required return on this stock is 12.5 percent, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Respuesta :

Answer:

Price of the stock today = $67.15

Explanation:

The current price of the stock can be calculated using the constant growth model of DDM. The DDM values the stock based on the present value of the expected future dividends from the stock.

The formula for the price of the stock today under the constant growth model is,

P0 = D1 / (r - g)

Where,

  • D1 is the dividend expected to be paid next period
  • r is the required rate of return
  • g is the growth rate in dividends

To calculate the price today, we use the dividend for the next period. Thus, we will use D11  to calculate the price of the stock at Year 10 and will discount it back to today to calculate the price today.

P10 = 17 * (1+0.039) / (0.125 - 0.039)

P10 = $218.0617284

Price of the stock today = 218.0617284 / (1+0.125)^10

Price of the stock today = $67.15