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Gary W.
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PE Conundrum the break down for price to earning income is sometimes different even if the business start out with the same amount of capital. One may have to pay tax and have expenses to pay for when the calculation is made it almost becomes the same amount. 
Let's say we have two entrepreneurs.
And they are both interested in buying a pizzeria and
eventually turning it into a public company.
So let's compare the two.
So let me draw a dividing line here between the first and the
second entrepreneurs.
And they're actually going to buy identical assets.
So they're going to buy a pizzeria with the
ovens inside of them.
And the same amount of cash in the cash register.
Everything they need to operate the pizzeria and they
may be in identical locations.
Maybe right next to each other at the same intersection.
Or across the street from each other.
It's the same asset.
Let me draw that out.
I don't want to draw this box.
So that's the asset.
And it costs $100,000.
That includes the building.
It includes the oven.
It includes the places where the customers come sit.
It even includes the cash needed
to operate the business.
So you need some cash to pay vendors just to get started
and to pay for things like dough.
And have some money in the cash register.
And to have a little bit of a bank account.
Things like that.
So that's all inclusive.
All of the assets needed to start the firm, the pizzeria.
So this is the assets.
And they both buy identical assets.
So let me copy and paste that.
They buy identical assets.
Now, the first entrepreneur, he's very conservative and
he's been saving all his whole life to do this.
So he actually has $100,000 of cash to buy his pizzeria, so
he buys it outright.
So he owns it outright so all of the $100,000 of asset value
is actually his equity.
Let me do equity in a different color.
It's all his equity.
So that's all his equity.
This guy here, maybe he's a little bit earlier in his
career, or he's just not as good at saving money.
So he doesn't quite have $100,000.
He actually only has $10,000 in his pocket.
But he's a smooth talker.
So he goes to the local bank and says, hey I have this
great idea for let me write this down, $10,000 of equity,
that's what he has but he tells the guy at the bank, and
he buys him lunch, and he says, I have this great idea
for a pizzeria.
And they agree to give him not just $90,000.
This guy, he's a little ambitious too.
He thinks not just beside a pizzeria.
In the name of the pizzeria he's going to borrow some
money and then maybe invest that in stocks or something.
So he gets a sweetheart deal on the loan.
And he's able to actually borrow a little bit more than
what he even needs.
He only needs $90,000, but let's say he borrows $100,000.
So he borrows $100,000 of debt.
And so, he has $110,000 to play with.
He buys a $100,000 pizzeria.
And then he has another $10,000 left over to do with
what he wants.
And he puts it in the pizzeria's name, in the
pizzeria's bank account.
Because he has to show the bank that it's going towards
the pizzeria.
But his real intent is to maybe gamble with it on the
side in the pizzeria's name, and maybe invest in stocks or
speculate on pork belly futures or
something like that.
But for all intents and purposes it's cash.
And so they go off and they start their pizzeria.
Let's see what happens.
So let's look at them over the course of one year.
So let's say, revenue.
So let's say the first year they're identical.
They both make $100,000 in revenue.
Let's say their cost of goods sold is roughly 50% of that.
So it's $50,000.
I'll put a minus there because it's an expense.
Minus $50,000.
So both of their gross profit is $50,000.
And then their SG&A is the same.
If you've watched the video on depreciation and amortization,
this might even include the depreciation on some of the
physical assets they've bought, or maybe the
amortization on the rights to the name Super Pizzeria.
In either case.
Maybe the brands are identical.
So that's another $20,000.
Minus $20,000.
So far they look very, very identical.
And that's because they have the same exact asset.
So their operating profit.
50 minus 20 is $30,000.
And now we'll start to see a little difference.
And this goes back to the very first video we saw.
It says if you have an identical asset and it's being
managed identically, which it is in this case, they will
generate an identical amount of operating profit.
But when I talk about the asset, I'm talking about only
the operating assets.
This guy has some nonoperating assets, although
it's officially part of the company.
He doesn't need it to operate.
This is cash above and beyond what's
needed in the cash register.
And we might have a little bit of cash here in this asset
that's needed for the cash register.
And I'll teach you more about working capital.
But in order to pay vendors and things like this.
This is cash above and beyond what's necessary.
This guy has a little bit of cash just
to operate the business.
He just doesn't have this gambling cash out here.
So now we add an interesting line.
Nonoperating income.
This guy doesn't make anything.
He's not gambling.
This guy's pretty good with this $10,000
of speculation cash.
He makes, say, 20% on it in this first year.
So he makes $2,000.
And then we have interest expense.
This guy has no debt.
Very prudent.
He has no interest. So his pretax income is $30,000.
This guy, he does have interest. And let's say on
that $100,000 of debt, he got a really good deal.
Let's say that the Fed thought that he was systemically
important to the future of our financial system.
So he gave him a sweetheart 2% debt deal, because he was
afraid that if this pizzeria were to fail, it would bring
down the entire financial system.
So given that 2% on $100,000 debt.
That's $2,000 of debt a year.
So minus $2,000.
I'll make it a little bit more realistic.
Let's say it's 5%.
So 5% on $100,000 is $5,000 per year in interest. So
that's his interest expense.
Let me write that.
This was interest. This was nonop income.
This was operating profit.
You just have to carry the lines over.
And so his pretax income is now 30 plus
2 minus 5 is $27,000.
They both pay 30% in taxes.
And so this guy's paying $10,000.
Well, actually, $9,000 would be 30%.
And this guy, 30% of 27.
So let's see.
Taxes.
3, 6,000 plus 8,100.
Minus $8,100.
Is that right?
Yeah.
That's $9,000.
And then if you have $3,000 less, you should be $900 less.
Yep, that's right.
And so, we're finally at the net income line.
This guy makes $21,000.
This guy makes what is this?
This is $18,900 net income.
And of course the difference is the money that he had to
spend on tax.
On interest expense.
If you net out all of his little financial engineering,
he had to pay $3,000 more in interest, if you net out his
profit he made on his little cash bets, his side bets.
And that was able to be a tax deduction.
So the actual effect ends up being $2,100.
Which is essentially $3,000 of a 30% tax rate.
So, fair enough.
That's not what I want to do here.
I don't want to focus too much on the tax savings on
interest. What I want to do here is focus on valuation and
see whether the price to earnings ratio holds up to
scrutiny in this situation, where you have an identical
asset but very different capital structures.
So let's say they both have 10,000 shares.
I'll arbitrarily switch colors.
10,000.
So EPS.
This guy made $21,000 this year.
Divided by 10,000 shares is $2.10 per share.
This guy, $18,900 divided by $10,000 is $1.89 per share.
And we could have modeled out their
income statements further.
And actually, this guy, even if the top line, even if the
revenue grew the same and the operating profit grew the
same, because of his leverage he would actually grow a
little bit faster.
I'll do another video on how that works with leverage.
But let's say that someone looks at this and says, OK,
it's the same business and everything.
And if anything, this guy's growing a little bit faster
because he's got that leverage, that extra juice
from the financials, from the capital structure he's got.
So they both deserve at least a price to earnings of 10.
So you say, they both deserve a price to earnings of 10.
So 10 price to earnings.
You'd say, I'm willing to pay $21 for this guy.
And I'm willing to pay $18.90 for this guy.
Now what does that result in their valuation, or in terms
of their market cap?
So in this guy's case, market cap.
$21 times 21,000 times 10,000 shares, means that you are
ascribing a 21 times 10 you're saying that the equity
in this company is worth $210,000.
In this case, you're saying that the equity in this
company is worth $189,000.
So this one's worth a little bit more, because it's earning
a little bit more money.
Although I don't want to complicate it, but you might
be willing to pay a higher multiple here.
So something very interesting is happening.
By applying the same price to earnings, we're saying that
the market value of this equity is $210,000, while the
market value of this equity is what was it? $189,000.
Something doesn't seem to make sense.
This guy put up $100,000, and sure, they invested
it and did all that.
So now the market's willing to say, hey, you know what?
This is a pretty profitable business, more profitable than
most. You're making good margins.
And I'll do a bunch of videos on margins in the future.
We're willing to say that the market value of
your equity is $210,000.
Which implicitly means that the market value of this asset
is $210,000.
They're saying, this is worth $210,000.
That's because this must be worth $210,000.
But if you look here, by giving the same price to
earnings, because they're the same business.
And maybe this guy's even growing faster, so maybe
they're being conservative by only giving this guy a 10
price to earnings.
You get a $189,000 market cap for this equity.
Which, all of a sudden, this guy only put in $10,000, and
people are saying it's worth $189,000?
And if this little fraction right here is $189,000, then
it implies what about this asset?
What does it imply about the value of that asset?
You have $189,000 as the value of this equity.
The value of this debt is $100,000.
So the market is saying, the righthand side of the balance
sheet is what?
It's $189,000 plus $100,000.
It's $289,000.
And let's say this cash is still cash.
It's worth $10,000.
So if you subtract it out, the market is saying, this is
$289,000 minus this $10,000, $279,000.
So something is very bizarre right here.
That the market just because of how this guy has
capitalized his company if they just apprised a
superficial price to earnings of 10 to both companies, it's
willing to say that this asset is worth $279,000, and this
asset's only worth $210,000, even though
they're identical assets!
So I've already used more than enough time on this video, so
I'll let you ponder that a little bit.
In the next video, I'll show you that the reason why this
is kind of breaking down is because a price to earnings
ratio does break down to a certain degree when you start
comparing things with different capital structures.
And in the next video, I'll introduce you to other ways of
comparing things with a different capital structures,
or essentially deleveraging them.
That when you just talk about price to earnings or market
capitalization when you just looked at market
capitalization, it looked OK.
Oh, they're similar businesses.
This one's worth a little bit more because
this one has debt.
But when you actually back out the implicit value of the
asset, all of a sudden you realize that you're really
overpaying for this asset.
So think about that a little bit.
What's the conundrum here?
What went wrong?
And in the next video I'll give you some tools to
actually do this right.
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