In: Finance
The common stock of GVK Ltd. is currently selling for Rs. 70 per share. Dividend per share has grown from Rs. 2 to the current level of Rs. 6 over the past ten years and this dividend growth is expected to continue in future also. What is the required rate of return of the GVK Ltd. ?
Step 1 - Calculation of dividend growth rate in past 10 years | ||||||||
We can use the Future value formula to calculate dividend growth rate. | ||||||||
Future value = P x (1+g)^n | ||||||||
Future value = 6 | ||||||||
P = dividend paid 10 years before = 2 | ||||||||
g = growth rate = ? | ||||||||
n = number of years = 10 | ||||||||
6 = 2 x (1+g)^10 | ||||||||
3 = (1+g)^10 | ||||||||
g = 0.116 | ||||||||
Dividend growth rate = 11.6% | ||||||||
Step 2 - Calculation of the required rate of return of the GVK Ltd | ||||||||
We can use the Dividend discount formula to calculate the rate of return. | ||||||||
Current Stock price = D11 / (r - g) | ||||||||
Current stock price = $70 | ||||||||
Dividend payable in 11th year = Current dividend x (1+growth rate) = $6 x (1+0.116) = $6.70 | ||||||||
r = required rate of return = ? | ||||||||
g = dividend growth rate = 11.6% | ||||||||
70 = 6.70 / (r - 0.116) | ||||||||
(r - 0.116) = 0.095714 | ||||||||
r = 0.2117 | ||||||||
Required rate of return of the GVK Ltd. = 21.17% |