Question

PE and Terminal Stock Price [LO2] In practice, a common way to value a share of stock when a company pays dividends is to value the dividends over the next five years or so, then find the "terminal" stock price using a benchmark PE ratio. Suppose a company just paid a dividend of $1.15. The dividends are expected to grow at 20 percent over the next five years. In five years, the estimated payout ratio is 40 percent and the benchmark PE ratio is 21. What is the target stock price in five years? What is the stock price today assuming a required return of 12 percent on this stock?

Answer 1

Answer:

$150.15

$92.31

Explanation:

Target stock price in year 5 = Earnings per share in year 5 x benchmark PE ratio

Earnings per share in year 5 = dividends per share in year 5/ pay-out ratio

Dividend in year 1 =  $1.15 x 1.20 = $1.38

Dividend in year 2 = $ 1.15 x 1.20^2 = $1.66

Dividend in year 3 =  $1.15 x 1.20^3 = $1.99

Dividend in year 4 = $1.15 x 1.20^4 = $2.38

Dividend in year 5 = $1.15 x 1.20^5 = $2.86

$2.86 / 0.4 = $7.15

$7.15 x 21 = $150.15

b. the stock price today can be found by finding the present value of the dividends

Present value can be found using a financial calculator

Earnings per share in year 5 = dividends per share in year 5/ pay-out ratio

Dividend in year 1 =  $1.15 x 1.20 = $1.38

Dividend in year 2 = $ 1.15 x 1.20^2 = $1.66

Dividend in year 3 =  $1.15 x 1.20^3 = $1.99

Dividend in year 4 = $1.15 x 1.20^4 = $2.38

Dividend in year 5 = $1.15 x 1.20^5 = $2.86

Stock price in year 5 = $150.15

i = 12%

Stock price (present value) = $92.31

To find the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute