Question

Shareholders had a good year, earning a 29% annual rate of return. The PE ratio today is 10.0 and the company just announced earnings per share of $2.50. The company has a 90% payout ratio. How much did the stock price change over the past year?

Answer 1

$3.68

Step-by-step explanation:

Rate of return =29%

PE ratio = 10.0

Earning per share = $2.50

P1 = PE ratio * EPS

P1= 10*2.50

P1 = $25

Payout ratio = 90%

Dividend = 2.50*90%

Dividend = $2.25

Rate of return = (P1+D1-P0)/P0

0.29= (25 + 2.25 - P0)/P0

0.29 P0 = 27.50 - P0

1.29P0 = 27.50

P0 = 27.50/1.29

P0 = $21.32

Change in stock price = $25 - $21.32

Change in stock price = $3.68