Question

In: Finance

A7X Corp. just paid a dividend of $1.45 per share. The dividends are expected to grow...

A7X Corp. just paid a dividend of $1.45 per share. The dividends are expected to grow at 25 percent for the next 6 years and then level off to a growth rate of 8 percent indefinitely.

If the required return is 15 percent, what is the price of the stock today?

Solutions

Expert Solution

Step-1, Dividend per share for the next 3 years

Dividend in Year 0 (D0) = $1.45 per share

Dividend in Year 1 (D1) = $1.8125 per share [$1.45 x 125%]

Dividend in Year 2 (D2) = $2.2656 per share [$1.8125 x 125%]

Dividend in Year 3 (D3) = $2.8320 per share [$2.2656 x 125%]

Dividend in Year 4 (D4) = $3.5400 per share [$2.8320 x 125%]

Dividend in Year 5 (D5) = $4.4250 per share [$3.5400 x 125%]

Dividend in Year 6 (D6) = $5.5313 per share [$4.4250 x 125%]

Step-2, Calculation of Stock Price for the Year 6(P6)

Dividend Growth Rate after 6th year (g) = 8.00%

Required Rate of Return (Ke) = 15.00%

Stock Price for the Year 6 = D6(1 + g) / (Ke – g)

= $5.5313(1 + 0.08) / (0.15 – 0.08)

= $5.9738 / 0.07

= $85.34 per share

Step-3, The Current share price

The Current Stock Price is the aggregate of the Present Value of the future dividend payments and the present value the stock price for the year 6

Year

Cash flow ($)

Present Value factor at 15.00%

Present Value of cash flows ($)

1

1.8125

0.86957

1.58

2

2.2656

0.75614

1.71

3

2.8320

0.65752

1.86

4

3.5400

0.57175

2.02

5

4.4250

0.49718

2.20

6

5.5313

0.43233

2.39

6

85.34

0.43233

36.89

TOTAL

48.66

“Hence, the Current Share Price will be $48.66”

NOTE

The Formula for calculating the Present Value Factor is [1/(1 + r)n], Where “r” is the Discount/Interest Rate and “n” is the number of years.


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