Respuesta :
To calculate the cost of equity using the Gordon constant growth model (also known as the Dividend Discount Model), we will follow these steps:
1. Identify the variables:
a. Dâ‚€ (Most recent historical dividend) = $1.50
b. Pâ‚€ (Current market price per share) = $25.00
c. g (Expected annual growth rate) = 7% or 0.07 when expressed as a decimal.
2. The formula for the cost of equity (kâ‚‘) according to the Gordon constant growth model is:
kâ‚‘ = (Dâ‚€ * (1 + g) / Pâ‚€) + g
3. Insert the given values into the formula:
kâ‚‘ = ($1.50 * (1 + 0.07) / $25.00) + 0.07
4. Calculate Dâ‚€ * (1 + g):
$1.50 * (1 + 0.07) = $1.50 * 1.07 = $1.605
5. Divide the result by Pâ‚€:
$1.605 / $25.00 = 0.0642
6. Add the growth rate to the ratio:
0.0642 + 0.07 = 0.1342 or 13.42%
Therefore, the cost of equity for Hillshire Corporation using the Gordon constant growth model is 13.42%.