Question

Fowler, Inc., just paid a dividend of $2.60 per share on its stock. The dividends are expected to grow at a constant rate of 5.75 percent per year, indefinitely. Assume investors require a return of 12 percent on this stock.
a. What is the current price?
b. What will the price be in four years and in sixteen years?

Answer 1

Answer:

a. Current price = $43.99

b. We have:

Price in four years = $52.03

Price in sixteen years = $101.76

Explanation:

a. What is the current price?

Using the Gordon Growth Model formula, we have:

Current price = (Dividend just paid * (100% + Dividend growth rate)) / (Rate of return – Dividend growth rate) = ($2.60 * (100% + 5.75%)) / (12% - 5.75%) = $43.99

b. What will the price be in four years and in sixteen years?

Using the Gordon Growth Model formula with an adjustment for number of years, we have:

Price in four years = (Dividend just paid * (100% + Dividend growth rate)^Number of years) / (Rate of return – Dividend growth rate) = ($2.60 * (100% + 5.75%)^4) / (12% - 5.75%) = $52.03

Price in sixteen years = (Dividend just paid * (100% + Dividend growth rate)^Number of years) / (Rate of return – Dividend growth rate) = ($2.60 * (100% + 5.75%)^16) / (12% - 5.75%) = $101.76