In: Finance
Valero paid a dividend of $1.28 this morning. as per the management discussion and the financial position of the company, dividend next year is expected to be higher by 2%. after that you expect the dividend to grow at a flat of 1.0% forever. if the required rate of return is 7.8%, what should be the post-dividend stock price?
A. 19.20
B. 18.82
C. 22.07
D. 19.40
Calculation of Post dividend stock price | |||||||||
Year | Dividend | Present value factor @ 7.8% | Present Value | ||||||
1 | $1.31 | 0.92764 | $1.21 | ||||||
PV of future dividends (see working) | $19.39 | 0.92764 | $17.99 | ||||||
Post dividend stock price' | $19.20 | ||||||||
Post dividend stock price | $19.20 | ||||||||
The answer is Option A. | |||||||||
Working - 1 | |||||||||
1st Year dividend = Dividend paid in the morning x (1 + dividend growth rate in Year 1) = $1.28 x (1+0.02) = $1.31 | |||||||||
Working - 2 | |||||||||
Using dividend discount model, we can calculate the present value (at the end of 5th year) of future dividends | |||||||||
growing to perpetuity @ 1% per year from 1st Year onwards | |||||||||
Present value of future dividend at the end of 1st Year = D2/(r -g) | |||||||||
D2 = dividend payable in 2nd year = Dividend in 1st Year x (1+Growth Rate) = $1.31 * (1+0.01) = $1.32 | |||||||||
r = required rate of return = 7.8% | |||||||||
g = dividend growth rate = 1% | |||||||||
Present value of future dividends at the end of 1st Year = 1.32 / (0.078 - 0.01) = $19.39 |