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Storico Co. just paid a dividend of $1.50 per share. The company will increase its dividend by 20 percent next year and then reduce its dividend growth rate by 5 percentage points per year until it reaches the industry average of 5 percent dividend growth, after which the company will keep a constant growth rate forever. If the required return on the company's stock is 15 percent, what will a share of stock sell for today

Respuesta :

Shahzaibfaraz

Answer:

The selling price today = $28.536

Explanation:

The question states that D0 is $1.5.

To calculate price, we need to calculate Present value of future dividends along with a terminal value from the time the dividend growth is becoming constant.

The D1 growth will be 20% of D2.

The fall in dividend growth will be 5% till it reaches 5%.

  • P0 = D1 / (1+r)  +  D2 / (1+r)²  +  D3 / (1+r)³  + D4 / r-g
  • Where,
  • r = required rate of return
  • g = growth rate

Thus,

P0 = 1.5*(1.2) / (1+0.15)  +   1.5*(1.2)*(1.15) / (1+0.15)²  +   1.5*(1.2)*(1.15)*(1.1) / (1+0.15)³   +  1.5*(1.2)*(1.15)*(1.1)*(1.05) / (0.15 - 0.05)

P0 = $28.536

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