Question

A7X Corp. just paid a dividend of $2.80 per share. The dividends are expected to grow at 20 percent for the next eight years and then level off to a growth rate of 5 percent indefinitely. If the required return is 13 percent, what is the price of the stock today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answer 1

Answer:

The price of the stock today=$560

Explanation:

We can use the expression for calculating the required rate of return to calculate the price of the stock today:

RRR=(EDP/SP)+DGR

where;

RRR=required rate of return

EDP=expected dividend payment

SP=share price

DGR=dividend growth rate

In our case:

RRR=13%=13/100=0.13

EDP=$2.80 per share

SP=unknown

DGR=20% and 8%, the average DGR=(20+5)/2=12.5%=0.125

replacing in the original expression;

0.13=(2.8/SP)+0.125

2.8/SP=0.13-0.125

2.8/SP=0.005

SP=2.8/0.005

SP=$560

The price of the stock today=$560