Easy DDM question Part 2 - will it crush you?

Company X has a trailing PE of 14. The dividend will grow at 4.5% into the indefinite future. Company’s X current divident is $0.7 and EPS is $2.0. The investor requires 8%. Is the company over, under fairly valued?

dont paste pg no man just put q

I got the correct under, fairly, overvalued part but my numbers were not what the answer showed, nor the way i calculated this.

The company is overvalued. Justified trailing PE = 10.45 while market trailing PE = 14. In other words, the company should be trading at a lower PE that what the market is seeing.

Justified Trailing PE = ((1 - b)(1 + g))/(r-g)

((.35)(1.045))/(.08-.045) = 10.45

Hope that helps.

Isnt it overvalued and the price shud be 20.9 instead of 28

justified trailing P/E = 10.45 so stock is overvalued.

overvalued

NOTE: I didn’t know to use the trailing P/E formula. How would you know in the exam?

I calculated the value of the company:

PE X EPS = 28

D(1) = .7 / 1.08

Perpetuity calculation:

(.7 * 1.045) / (.08-.045) = 20.9

Current dividend + Perpetuity discounted back to T =0

( 20.9 + .7) / 1.08 = _ 20 _

Stock is overvalued!

Without knowing the justified trailing PE formula, I think the stock’s value should be 20.9. I think you are doing an extra step at the end.

V at t = 0: div1/(r-g)

Yea, i wudnt add current year dividend

yep, overvalued. trick is its “trailing” so grow the payout ratio by 1+g.

@Rasec…you just need to recognize that you can use the trailing P/E formula. no trick here. You can do it your way also I guess, but thats confusing to me!

why would you add the dividedn?

How did you know to compute the trailing PE versus valuing the stock?

How did you know to compute the trailing PE versus valuing the stock?

I got overvalued: justified trailing P/E = 10.45

*justified trailing = [(1-b)(1+g)] / (r-g)

justified forward = (1-b) / (r-g)

*Edit It actually works out the same way. You are just comparing stock prices vs. P/E ratios. If you multiply the justified trailing P/E by EPS of 2 you get the stock price of 20.9

Here was my thought process:

  1. They gave me a trailing P/E of 14. — okay, I’m in P/E land…

  2. they are giving me div, eps, growth. —okay i know the P/E formula uses all of those. Lets calculate the trailing P/E with whats given and see where it comes out. Turns out that the P/E I calculate is much lower, which implies the P/E of 14 is overvalued.