In: Finance
Anderson Corp just issued a stock dividend of$2.00 yesterday. The company plans on increasing the dividend by 6% per year for the next 5 years. After which, the dividend will grow at 3% forever. The required rate of return is 10%.
A) Calculate the current price of the stock
B)Calculate what the price of the stock should be in 1 year
C) Calculate the Dividend yield and capital gains yield during the first year.
D0 = $2
Growth rate (g1) = 6%
n = 5 years
Growth rate (g2) = 3%
r (Required rate of return) = 10%
D1 = D0 * (1+g1) = $2 * 1.06 = $2.12
D2 = D1* (1+g1), D3 = D2* (1+g1), D4 = D3* (1+g1), D5 = D4* (1+g1)
P5 = D6* (1+g2)/ (r-g2) = (2.6764 * 1.03)/(0.10 - 0.03) = 39.38207,
PVF (10%) | PVCF | ||
D1 | 2.12 | 0.909091 | 1.927273 |
D2 | 2.2472 | 0.826446 | 1.85719 |
D3 | 2.382032 | 0.751315 | 1.789656 |
D4 | 2.524954 | 0.683013 | 1.724578 |
D5 | 2.676451 | 0.620921 | 1.661866 |
P5 | 39.38207 | 0.620921 | 24.45317 |
Current price of the stock | 33.41373 |
A) Calculate the current price of the stock
Answer = $ 33.41
B)Calculate what the price of the stock should be in 1 year
Answer = $33.41 * (1+0.06) = 35.42
C) Calculate the Dividend yield and capital gains yield during the first year
Answer =
Dividend yield = $2.12 / $33.41 = 6.35%
Capital gains yield = 10.00% - 6.35% = 3.65%
During the non-constant growth period, the dividend yields and capital gains yields are not constant, and the capital gains yield does not equal g. However, after year 3, the stock becomes a constant growth stock, with g = capital gains yield = 3.0% and dividend yield = 10.0% - 3.0% = 7.0%.