Question

Consider four different stocks, all of which have a required return of 15 percent and a most recent dividend of $4.20 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 –5 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 10 percent growth rate thereafter. What is the dividend yield for each of these four stocks

Answer 1

Answer:

Dividend yield for W = 5%

Dividend yield for X = 15%

Dividend yield for Y = 20%

Dividend yield for Z = 4.6%

Explanation:

For a constant growth stock $Price =\frac{D1}{r-g}$

If r is made subject of formula;  r=$\frac{D1}{Price}+g$ = div yield + growth rate

For Stock W, given r = 15% and g= 10%; dividend yield = 15%-10%=5%

For Stock X, given r = 15% and g= 0%; dividend yield = 15%-0%=15%

For Stock Y, given r = 15% and g= -5%; dividend yield = 15%-(-5)%=20%                                      

For Stock Z, the price of the stock today is calculated as follows:

Price of the stock today = $\frac{D1}{(1+ke)^1}+\frac{D2}{(1+ke)^2}+\frac{P2}{(1+ke)^2}$.

where P2= $\frac{D3}{ke-g}$

Price of the stock today = $\frac{4.2(1.2)}{(1+0.15)^1}+\frac{4.2(1.2)^2}{(1+0.15)^2}+\frac{4.2(1.2)^2(1.1)}{(0.15-0.1)(1+0.15)^2}$=109.57

Therefore dividend yield =$\frac[D1}{Price}$ = $\frac{4.2(1.2)}{109.57}=$4.6%