Answer:
$71.03
Explanation:
To find the current share price we need to find the value of future dividends first and then discount it by the given rate of return
DATA
Growth rate = g = 20%
Time period = 3 years
Required return = 11%
Current dividend = Do = $1.45
Share price =?
Solution
Future dividend = Current dividend ( 1 + growth rate)
D1 = (1.45 x 1.20) = $1.74
D2 = (1.74 x 1.20) = $2.088
D3 = (2.088 x 1.20) = $2.5056
Value after year 3 = (D3 x Growth rate) / (Required return-Growth rate)
Value after year 3 = (2.5056*1.08) / (0.11-0.08)
Value after year 3 =$90.2
current share price = Future dividends x Present value of discounting factor
current share price = (1.74/1.11)+($2.088/1.11^2)+(2.5056/1.11^3)+($90.2/1.11^3)
current share price = 1.56 + 1.69 + 1.83 + 65.95
current share price =$71.03
