Question

13) Storico Co. just paid a dividend of $3.15 per share. The company will increase its dividend by 20 percent next year and then reduce its dividend growth rate by 5 percentage points per year until it reaches the industry average of 5 percent dividend growth, after which the company will keep a constant growth rate forever. If the required return on the company’s stock is 12 percent, what will a share of stock sell for today? (4 pts)

Answer 1

$61.29

Step-by-step explanation:

Calculation to determine what will a share of stock sell for today

First step is to calculate the price in Year 3

P3= $3.15(1.20)(1.15)(1.10)(1.05) / (.12 – .05)

P3= $5.020785/0.07

P3=$71.72

Now Let Calculate the price of stock today using the Present Value (PV) of the first three dividends in addition with the Present Value (PV) of the stock price in Year 3:

P0= $3.15(1.20)/(1.12) + $3.15(1.20)(1.15)/1.12^²+ $3.15(1.20)(1.15)(1.10)/1.12^³+ $71.72/1.12^³

P0=$3.78/1.12+$4.347/1.2544+$4.7817/1.404928+$71.72/1.404928

P0=$3.375+3.465+3.4035+$51.048

P0= $61.29

Therefore what will a share of stock sell for today is $61.29