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omeli [17]
3 years ago
13

"Expected Return Ecolap Inc. (ECL) recently paid a $0.46 dividend. The dividend is expected to grow at a 14.5 percent rate. At a

current stock price of $44.12, what is the return shareholders are expecting
Business
1 answer:
skad [1K]3 years ago
4 0

Answer:

  • <u>15.7%</u>

Explanation:

The <em>price</em> of a <em>stock</em> can be modeled by the present value of the stream of future <em>dividends</em> discounted at a rate equal to the<em> return expected</em>.

The equation, when the dividends are expected to <em>grow</em> at a constant rate, less than the return rate is:

        Price_0=\dfrac{Div_1}{r-g}

Where:

  • Price₀ is the <em>current price</em>: $44.12
  • Div₁ is the <em>dividend </em>to be paid a year from now: $0.46 × 1.145 = $0.53
  • g is the expected constant <em>growth rate</em>: 14.5% = 0.145
  • r is the <em>expected return</em>

Then, you can solve for r:

      r=\dfrac{Div_1}{Price_0}+g

        r=\dfrac{\$ 0.53}{\$ 44.12}+0.145=0.157=15.7\%

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