Math Problem Statement

  1.   The Evanec Company’s next expected dividend, D1, is $3.18; its growth rate is 6% and the stock now sells for $36. New stock can be sold to net the firm $32.40 per share.
    

What is Evanec’s cost of new common stock, Ke?

Solution

To calculate Evanec's cost of new common stock (KeK_e), we can use the Gordon Growth Model (also known as the Dividend Discount Model). The formula for the cost of new common stock considering flotation costs is:

Ke=D1P0F+gK_e = \frac{D_1}{P_0 - F} + g

Where:

  • D1D_1 = Expected dividend = $3.18
  • P0P_0 = Current stock price = $36.00
  • FF = Flotation cost (the difference between the current stock price and the net proceeds) = $36.00 - $32.40 = $3.60
  • gg = Growth rate of dividends = 6% = 0.06

Plugging in the values:

Ke=3.18363.60+0.06K_e = \frac{3.18}{36 - 3.60} + 0.06

Calculating the denominator first:

363.60=32.4036 - 3.60 = 32.40

Now calculating KeK_e:

Ke=3.1832.40+0.06K_e = \frac{3.18}{32.40} + 0.06

Ke=0.0981+0.06K_e = 0.0981 + 0.06

Ke=0.1581 or 15.81%K_e = 0.1581 \text{ or } 15.81\%

So, Evanec’s cost of new common stock is 15.81%.

Would you like any details or have any questions? Here are some relative questions for further exploration:

  1. How does flotation cost affect the cost of new common stock?
  2. What would be the impact on KeK_e if the growth rate increased to 7%?
  3. How does the cost of new common stock compare to the cost of retained earnings?
  4. Can the Gordon Growth Model be used if the growth rate is higher than the required rate of return?
  5. How is the cost of equity different from the cost of debt for a company?

Tip: When using the Gordon Growth Model, make sure the growth rate of dividends is realistic and sustainable; otherwise, the calculated cost of equity may not be reliable.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Finance
Dividend Discount Model
Cost of Equity

Formulas

Ke = D1 / (P0 - F) + g

Theorems

Gordon Growth Model

Suitable Grade Level

Undergraduate Finance/Business