Question

Consider four different stocks, all of which have a required return of 14 percent and a most recent dividend of $3.50 per share. Stocks W, X, and Y are expected to maintain constant growth rates in dividends for the foreseeable future of 10 percent, 0 percent, and –6 percent per year, respectively. Stock Z is a growth stock that will increase its dividend by 20 percent for the next two years and then maintain a constant 12 percent growth rate thereafter. What is the dividend yield for each of these four stocks? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) What is the expected capital gains yield for each of these four stocks? (Leave no cells blank - be certain to enter "0" wherever required. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

Answer:

Stock W   3.64%

Stock X  14.00%

Stock Y 21.28%

Stock Z   1.56%

Explanation:

We calculate the horizon value for each one. This will provide us with their price and with that, we solve for dividends yield

Stock W - Horizon Value

 3.50 x 1.10            3.85

-----------------  =    -----------  = 96.25

  0.14 - 0.10           0.04

Dividend yield: 3.50 / 96.25 = 0.036363636 = 3.64%

Stock X: g= 0

3.5 / 0.14 =  25

3.5 / 25 = 0.14

Stock Y g = -0.06

3.50 x (1 - 0.06) / (0.14 - (-0.06)) = 16.45

Dividend yield 3.50 / 16.45 = 0,212765957 = 21.28%

Stock Z

$\left[\begin{array}{ccc}#&Dividends&Discounted\\&3.5&\\1&4.2&3.68\\2&5.04&3.88\\2&5.6448&217.17\\&TOTAL&224.73\\\end{array}\right]$

First we solve for the next two dividends:

next year 3.50 x (1 + 20%) = 4.2

second year 4.20 x (1 + 20%) = 5.04

Here we solve for the horizon value of the constant grow:

5.04 x 1.12 / (0.14 - 0.12) = 282.24

now, we solve for the Present value of each one and add them together.

Getting a value of $224.73

We now solve for dividend yield: 3.50 / 224.73 = 0,01557 = 1.56%