Question

Upton Co. is growing quickly. Dividends are expected to grow at 20 percent for the next three years, with the growth rate falling off to a constant 8 percent thereafter. If the required return is 11 percent and the company just paid a dividend of $1.45, what is the current share price

Answer 1

$71.03

Step-by-step 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