The market price of a stock is $32.68 and it is expected to pay a $3.65 dividend next year. The dividend is expected to grow at 4.24% forever. What is the required rate of return for the stock?

1 answer

To calculate the required rate of return for the stock, we can use the Gordon Growth Model (also known as the Dividend Discount Model for a stock with constant growth). The formula for the required rate of return (\( r \)) is:

\[ r = \frac{D_1}{P_0} + g \]

Where:

  • \( D_1 \) = Dividend expected next year
  • \( P_0 \) = Current market price of the stock
  • \( g \) = Growth rate of the dividend

Given:

  • \( D_1 = 3.65 \)
  • \( P_0 = 32.68 \)
  • \( g = 4.24% = 0.0424 \)

Now, we can substitute the values into the formula:

\[ r = \frac{3.65}{32.68} + 0.0424 \]

First, calculate \( \frac{3.65}{32.68} \):

\[ \frac{3.65}{32.68} \approx 0.111 \]

Now add the growth rate:

\[ r \approx 0.111 + 0.0424 = 0.1534 \]

To express this as a percentage:

\[ r \approx 15.34% \]

Thus, the required rate of return for the stock is approximately 15.34%.