Motley Fool Hidden Gems Investing - How to Value a Company with the Discounted Cash Flow Model
Episode Date: April 16, 2022Grab your notebook and get ready to dive deep. Motley Fool Senior Analyst John Rotonti discusses how investors can value a company using the discounted cash flow model. This method is the fundament...al way to determine if you’re getting a bargain or paying too much when you buy any stock. Rotonti discusses: - How to pick a discount rate for investments. - The key difference between fair and intrinsic value. - How to project free cash flows. Have an investing question for John? Call 703-254-1445, leave a voicemail, and he may answer your question in an upcoming episode. Additional resource: https://www.fool.com/investing/2022/01/19/expectations-investing-qanda-mauboussin-rappaport/ Stocks discussed: IBM, NEE, PEP Host: John Rotonti Producer: Ricky Mulvey Engineer: Rick Engdahl Learn more about your ad choices. Visit megaphone.fm/adchoices
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run it out year one to year 10.
I'm Dylan Lewis, and that was Motley Fool analyst, John Ratante. Today, we're continuing
John's series on navigating major financial statements with a breakdown of how to build
and understand a DCF or discounted cashflow model. I'll confess that I've built exactly
one DCF in my entire life. It was for a college finance class. And honestly, I may never make
another one. Even if you're like me, this conversation is for you. Because throughout
John's overview of modeling cash flows, he provides mental models and the questions you
need to ask yourself when you're looking at companies. Understanding how those inputs affect
the company's path forward will make you a better investor, even if you never open an Excel
spreadsheet. Before I turn things over to John, we also want to know what investing questions you
have. Give us a call at 703-254-1445, and leave us a voicemail with your name, city, and whatever
question you may have. He may answer it on an upcoming show. That number is 703-254-1445.
And now, here's Professor John Rotonti.
Hello Fools, John Rotonti again and today we are going to talk about valuation and in particular
a discounted cash flow valuation also called a DCF for discounted cash flow. So
the first thing we need to understand is the definition of intrinsic value, the definition
of fundamental business value. When I say intrinsic value, I mean the business value,
the estimated business value based on the company's fundamentals, okay? So fundamental
business value, intrinsic business value, they mean the same thing. And the definition
of intrinsic value is the present value of future free cash flow that a company will generate.
Why present value? Present value because everything in corporate finance is pretty
much based off present value. Present value says that a dollar today is worth more than a dollar
in the future because you can invest that dollar today and earn some interest
on it and so what we're going to be talking about in a second is estimating
a company's free cash flows far out into the future and so we need to convert
those far out into the future free cash flows to their present value this is one
of the primary pillars foundational pillars of corporate finance and
valuation this idea of present value okay so the definition of intrinsic
value which is what we're talking about when we're talking about valuing a
business is the present value of future free cash flows if we said that a
different way it would be that the intrinsic value of a business is all of
the estimated future free cash flows of the business from now until the end of
the life of that business, discounted back to their present value. I just said
the same thing in two different ways. Okay, the three primary things you need
to know about a discounted cash flow model are DCFs are based on the size of
the free cash flow, number one, the timing of the free cash flow, number two, and the
riskiness of the estimated free cash flow number three. So, GCFs are based on
the size of the cash flow, the timing of the cash flow, and the riskiness of the
cash flow. What do we mean by size? Well, ten million dollars in free cash flow in
any given year is worth more than one million dollars in free cash flow. So,
size matters, fools. When you're doing DCFs, size matters. Timing. We just talked about the present
value concept. Well, timing. $10 million in free cash flow one year from now is worth more than
$10 million in free cash flow 10 years from now. I want to say that again. Because the further out
you get, the lower the present value of those free cash flows are. And then the
third thing is the riskiness of those free cash flows. We incorporate the
riskiness of a business into our discounted cash flow models with
something called a discount rate. A discount rate is also sometimes referred
to as a hurdle rate. A discount rate is also sometimes referred to as a cost of capital or
a weighted average cost of capital. For the purposes of this podcast, discount rate, hurdle
rate, cost of capital, and weighted average cost of capital, or WAC, all mean the same thing, okay?
the discount rate is what we divide or discount those future free cash flows
back to present value to bring future free cash flows back to present value we
need to do a simple division and we need to divide by a discount rate okay the
more risky we believe a business is the higher the discount rate we want to use
the less risky a business is the lower the discount rate we want to use so
riskiness of the business is incorporated into the DCF model through
the discount rate. Now, this is incredibly important. Think of the discount rate as your
required rate of return. So there's a fifth synonym. We have discount rate, we have hurdle
rate, we have cost of capital, we have weighted average cost of capital, and I just give you a
fifth one, required rate of return. If a business, if you deem, and this is a personal decision,
This is you. I'm talking to you, the individual fool out there. If you deem the business risky,
then you are going to require a higher rate of return to invest in that business.
Therefore, you're going to use a higher discount rate. If you deem the business less risky,
then you may require a lower rate of return to invest in that business let's
put some numbers around this the stock market has historically returned on a
nominal basis before inflation nine descent nine to ten percent per year on
average nine to ten percent per year on average most investors want to beat the
stock market by a little bit and so their required rate of return for the
average business for the average risk level business it's going to be slightly
higher than nine to ten percent right because the stock market they can get
nine to ten percent on average over time just investing in an index fund so if
they're gonna take on the extra risk and put in the extra time and effort to pick
individual stocks then they're going to probably try to beat the market by a little so if the stock
market has returned about nine to ten percent on average per year over a long period of time
then maybe you want to discount stocks at 10 to 11 for your average medium risk level business
but we're living in weird times right now fools because interest rates until two weeks ago
We're set at the zero bound.
Interest rates were at near historical record lows.
Okay.
Because interest rates are so low,
because the interest rate you could get investing in a U.S. Treasury bond
or the interest rate you could get investing in a highly rated corporate bond
is so low,
Stock investors were willing to lower their required rate of return. So very
few investors were using the 10 to 11 percent required rate of return or the
10 to 11 percent discount rate we just discussed because interest rates were so
low they lowered their discount rates, they lowered their required rates of
return to somewhere around six to eight percent let's say. But that's a personal
decision. But if you were valuing PepsiCo or NextEra Energy, low-risk businesses or lower-risk
businesses, you may want to use a lower discount rate, something in the 6% to 8% range. If you
were investing in a startup early in its life cycle, unproven, hasn't proven it can scale yet,
not earning any money, burning through cash, not self-funding, highly reliant on capital markets
to grow because it's not self-funding, then you're going to use a higher discount rate.
You're going to have a higher hurdle rate. You're going to have a higher required rate of return
to put your dollars in that company. These interest rates, these required rate of returns,
these discount rates this is the essence fools if you're investing in a company that is highly
dependent on commodity prices and so doesn't really have a control over its key input cost
or if you're investing in a company that operates in a highly cyclical
highly commoditized industry prone to boom and bust cycles
then you're going to have a higher required rate of return you're going to use a higher
discount rate in all likelihood but that's a personal decision now this gets even more important
discount rates and free cash and present values of free cash flow move in the opposite direction
so the higher the discount rate the lower the present value of future free cash flows
so the and the lower the present value of future free cash flows the lower your estimate of
intrinsic value will be let's take the opposite the lower your discount rate the higher the present
value of future free cash flows will be and the higher the present value of future free cash flows
will be, the higher your estimate of intrinsic value will be. So discount rates and intrinsic
values are inversely related, fools. The higher the discount rate you use, the higher your required
rate of return, the lower your estimate of intrinsic value will be. The lower your discount
rate you use or the lower your required rate of return the higher your intrinsic value will be
so if you model out a business which we'll get to in a second you do a dcf you estimate out the
free cash flows from now until the end of the life of that business and the only thing you change in
the model is the discount rate at which you bring those future free cash flows back to present value
If the only thing you change in the model is that one cell, that one Excel cell in the Excel model,
if the only thing you change is the discount rate, the higher that you put that cell,
the higher you put that discount rate, the lower your intrinsic value will be.
Literally, you can go into Excel, change the discount rate in that one cell,
and hit enter, and your intrinsic value will drop.
I guarantee it. It's just math. If you go into that cell and you put in a lower discount rate
in that cell in Excel, your intrinsic value will increase after you hit enter in that model.
Let's get into the model. We separate a discounted cash flow model into two parts.
the forecast period, also called the projection period,
and then the terminal value period.
The forecast period, or projection period,
is the period in which we are actually putting in our assumptions
for what we think revenue will be in each year of that forecast period.
Most models that I have seen have a forecast period of anywhere from five to ten years.
Why do they stop at ten years?
Two reasons, I would say.
One is because our crystal ball goes pretty dark after ten years, right?
It's really hard to estimate what a company's sales and margins are going to be ten years from now,
much less three years from now, okay?
so that's the first reason the further out your projection period is the
further out your forecast period is the less conviction you're going to have in
your assumptions on those far-out years because our crystal ball just goes dark
the other reason is because the best most proper way I think to do a free
cash flow model is to make your projection period as long as you think
the company can maintain its competitive advantage this is called a cap CAP or
competitive advantage period this is the amount of time measured in years that
you believe a company can maintain an excess return spread what do we mean by
an excess return spread it means the amount of time measured in years that
you think a company excuse me can generate a return on invested capital
which is a measure of profitability and performance it's the amount of time
measured in years that you think a company can maintain a return on invested capital
that is higher than its cost of capital. So the best way to do a DCF is to use your projection
period to set your projection period or your forecast period to the number of years that
you think and this is just you know an educated guess at best that you think a
company can maintain its competitive advantage meaning the amount of years
the amount of time measured in years that you think a company can generate a
return on invested capital that is higher than its cost of capital okay but
most DCF models are ten years so for the purpose of this we're gonna use ten
years. Then in the terminal period, this is the second part of the DCF, okay? In the terminal
period, we're using a mathematical formula, which is called a perpetuity, to estimate the cash flows
from year 11, the very next year after our projection period. Because remember,
for the purposes of this podcast, we're using a DCF of 10 years for the forecast period.
So the terminal value or the terminal period calculates the free cash flows from year 11
into perpetuity. That's the only way we can do it, right? Because we just don't know what a
company is going to look like in year 30 or 40 or 50 or 100 if it's going to be around that long.
And there are companies around that long, right? IBM. There are definitely companies around that
long but we can't estimate out sales and margins in year 100 and so we use this
mathematical shortcut because it's the best option that we know of today what
happens in the projection period so you have your one year two year three year
four year five year six year seven year eight year nine year ten okay that means
we need to estimate how fast we think the company is going to grow its revenue
in year one. So, one year from now. How fast we think it's going to grow its revenue in year two,
how fast in year three, how fast in year four, how fast in five, six, seven, eight, nine,
and how fast in year 10. This revenue rate should fade down as you get to year 10,
as you get to the last year of your projection period.
Okay. So all we do is take the revenue that we currently have, right? Multiply it by the growth
rate that we think it's going to grow at, or multiply it, sorry, by one plus the growth rate
that we think it's going to grow at one year from now, and you get an estimate of revenue one year
from now. And then you take revenue one year from now, multiply it by one plus what we think the
revenue growth rate will be two years from now, and you get revenue, estimate revenue two years
from now. And then you take our estimate of revenue two years from now, multiply by one plus
your estimate of what you think revenue growth will be in year three, and you get estimate revenue
growth three years from now and on and on until you get to year 10, which is the last year of our
projection period. That's it. So now you have modeled out revenues for the next 10 years.
The next line down in a traditional DCF is the EBIT margin or the operating margin.
We talked about EBIT margins in our segment on financial statement analysis
when we talked about the income statement.
Okay?
So now you need to estimate what you think the EBIT margin will be in year one,
in year two, in year three, four, five, six, seven, eight, nine, and ten.
Maybe you think this company has a lot of margin expansion opportunities
as it scales up and achieves economies of scale
and unlocks that operating leverage.
So maybe you have operating margins
slightly increasing every year
from year one through year 10.
Maybe you think margins are going to remain pretty stable
because it's a pretty stable industry.
Market shares don't shift that often.
The players in the industry are rational about their pricing.
they don't get into pricing wars, and maybe the industry's just been around a long time and you
think pricing is going to remain stable. That's fine. You just pick an operating margin or EBIT
margin for year one and run it out across the next nine years to year 10. Maybe you think this
company is in secular decline. Maybe you think it's got a weakening competitive advantage. Maybe
you think competition is going to take share. In that case, the company may have to sell
stuff at a discount to maintain growth. It may have to give stuff away. It may have to
discount items. In that case, you think operating margins, even margins may decline slowly or
not so slowly over the next 10 years. In either of the three cases, you have now estimated
an operating margin that you think the company can achieve for each of the next 10 years.
And remember, we just estimated, these are all estimates, all of them, okay? We just
estimated right before that what we thought revenue would be in each of the next 10 years.
So now you literally take the operating margin that you just estimated in year one, multiply
it by the revenue that you just estimated in year one and you get your operating income
or your EBIT in year one and then you take the revenue that you estimated in year two,
multiply it by the operating margin that you estimated in year two and you have operating
income estimate for year two and then you take the revenue you estimated for year three,
multiply it by the operating margin you estimated in year three, and you get your estimated
operating income in year three. And you do that on and on every year through year 10.
The next step is pretty easy. Don't try to be a hero. You have to pick a tax rate, right?
Just pick, get some good industry-level data,
see what the average tax is that the company you're valuing has paid
over the past five years or so.
See what ways that tax rate has been trending,
has it been trending up, has it been trending down.
Understand what is driving the change in that tax rate.
See what the industry-level tax rate is,
what the average peer tax rate is.
Pick a tax rate, run it out year one to year 10.
Keep it the same unless you think there's going to be some major change to the corporate tax rate
at some point over the next 10 years. Honestly, don't be a hero. Just pick a tax rate and run
it out every year for the next 10. Then you take the operating income in year one, multiply it by
the tax rate in year one, and you get this all important number called NOPAT. N-O-P-A-T. Just
net operating profit after tax. It's just your operating income after tax.
No PAT. Then you do the same thing for year two. You take your operating income year two,
multiply it by the tax rate year two, and you get your no PAT year two. You do the same thing
year three, four, five, six, seven, eight, nine, ten. Next line down, we're almost done. We're
almost at free cash flow, literally one more line
and we're at free cash flow, okay?
So we have NOPAT, after tax operating income.
Now we need to subtract reinvestment into growth.
If you remember from our financial statement analysis
podcast, we defined free cash flow
as the amount of excess cash flow left over
after a company has reinvested
to maintain and grow its business.
So from NOPAT, we have to subtract total reinvestment
that we think the company is gonna make in year one,
year two, year three, all the way through year 10.
What is included in that reinvestment?
Changes in working capital from one year to the next,
capital expenditures, property, plant, and equipment,
acquisitions. Those are the three big ones. R&D was already included in NOPAT. So that is already
included in your operating income. So you subtract from NOPAT, you subtract what you think
reinvestment will be. Remember, working capital changes, capex and acquisitions, and you get free
cash flow. So now we have free cash flow, fools, modeled out in an Excel model from your 1 to your
10. These are estimated free cash flows in your 1 to your 10. Now you have to pick your discount
rate or your required rate of return. Let's say you pick 8%. Let's say that's your required rate
return because interest rates are still so low and now you just need to discount
the free cash flow in every year year one to year ten by your discount rate
and the way you do this is you take the free cash flow in any given year so free
cash flow year one as your numerator okay free cash flow year one is your
numerator you divide by one plus your discount rate raised to the year this is
your one okay so you would divide your free cash flow estimate for your one
divide that by one plus point oh eight raised to the one and that gives you the
present value of that free cash flow for year one then you do the same thing in
year two. You take your estimated free cash flow year two, divide that by one plus 0.08 and raise
that to the two to get the present value of that free cash flow. And then for year three, you take
your estimated free cash flow year three as your numerator, divide that by one plus 0.08, raise to
the 3. Now you have the present value of that one. You do that all the way to year 10. For
year 10, it would be your estimated free cash flow year 10. Divide that by 1 plus 0.08 raised
to the 10. Now you have calculated the present value of the estimated free cash flows from
year 1 to 10. Now you sum those up. You literally add them. Add present value from year 1, present
value of free cash flow year two, present value of free cash flow year three, present value of
free cash flow year four, on and on until you get to present value of free cash flow year 10. You
add those up and now you have the sum of the present value of the free cash flows for your
projection period, year one through year 10. Now, we just use a perpetuity formula
to calculate the free cash flows you think the company is going to generate from year 11 until
the end of time, using a perpetuity. Okay. How do you do that? You need to come up with a terminal
growth rate. Remember we estimated how fast you thought revenue was going to grow year one,
how fast you thought it was going to grow year two, how fast you thought it was going to grow
year three and on and on. And I told you to fade that growth rate down by the last year of your
forecast period. Your terminal growth rate can't be set higher than global GDP. Why? Because if a
company grows faster than global GDP into perpetuity, then that one company will eventually
become bigger than global GDP. Right? Doesn't make sense. So you can't set your terminal growth rate
faster than, you know, 3%. Pick your number. Three and a half. If you're just valuing a slow-growing
domestic U.S. company, you may want to set the terminal growth rate at 2, 2.5%. These are low
growth rates, fools. So you can't have your year 10 growth rate in the last year of your model,
50%. And then all of a sudden, year 11, it's 2%. It doesn't work. You have to fade your growth
rate down. So for the terminal value, you have to pick your terminal growth rate. Then you take
the free cash flow in the last year of your projection period, that's year 10. You multiply
it by 1 plus your terminal growth rate, that's your numerator, and you divide that by R minus
G, by your cost of capital, that's R minus your terminal growth rate. So once again, the formula
for the terminal value, for the perpetuity, you take the free cash flow in year 10 for your
numerator. Your numerator is free cash flow year 10 multiplied by 1 plus your terminal growth rate.
Let's say it's 2%. Divide that and your denominator is your cost of capital, which we said was 8%,
minus your terminal growth rate, which we said was 2%. That gives you your terminal value.
But that also has to be discounted back to the present. How do you do that? The same exact way
discount our free cash flows you take that terminal value number you divide by one plus
the growth your terminal growth rate which is two percent
raised to the power of ten raised to the the number of years you have in your projection period
So, now, we have summed up, we have added up the present values of free cash flow in
year 1 through year 10.
We have that sum.
To that, we add the present value of the terminal value.
you get enterprise value okay you now have a present value of the cup of the
estimated enterprise value of that business you then enterprise value means
the value of the firm the value to so we calculated the free cash flow that we
calculated fools which we which you know we just said was no path in this model
minus reinvestment that is something called free cash flow to the firm FCFF
that's free cash flow available to debt and equity holders okay so we had just
calculated a firm that not calculated we have just estimated a firm value an
enterprise value okay but what are we trying to do we're trying to value the
equity and the stock not the firm but we've just calculated the firm value so
what do we do we subtract debt we have to pay back all of the debt holders okay
Okay, subtract debt.
Any cash that is left over, because we have just paid back debt holders.
Any cash that is left over after we paid back all our debt now belongs to the equity holders.
So we add back cash.
So we have this present value of the terminal value, this firm wide value.
We subtract debt and we add cash.
Now we have equity value, the value of the equity in that business, but we don't have
the value of the stock yet.
To do that, you just take the value of the equity that you just estimated, divide by
the number of shares outstanding the number of fully diluted shares
outstanding and you have now calculated an estimated value per share you take
that estimated value per share and you compare it to the current stock price
and if the estimated value per share is higher than the stock price,
then maybe you found yourself a bargain.
If you think the company is worth $100, that's your estimated value per share,
and the stock's only trading at $50, then maybe you found yourself a bargain.
Maybe you found yourself a company whose stock is selling at a discount to its intrinsic value.
Maybe you have found yourself a stock that offers you a margin of safety.
Now, your value that you just estimated is going to be wrong.
Because you can't be precise.
You can't be precise.
It's going to be wrong.
Mine's going to be wrong.
Everyone's is going to be wrong.
so next step we do some scenario analysis so that we can come up with a
range of estimated fair values right just coming up with one precise to the
decimal point estimated fair value that's you know not gonna help us much
so you we're gonna come up with now a range of estimated fair values and this
is a model it's everything's connected all the cells are connected so you can
just go in, change some growth rate assumptions,
change some margin assumptions,
change the discount rate, hit enter,
and the intrinsic value estimate
will change instantaneously.
So how do you come up with a range
of estimated fair values?
One way is to do a bear case,
a base case, and a bull case.
So your base case is the medium case.
It's the case that you think is most likely.
The case that you have the highest conviction in.
It's the medium case.
And you come up with that estimate fair value.
And then you do a bear case.
A bear case means you think growth will be slower
than in your base case.
You think margins will be lower than in your base case.
And that gives you a lower estimate of intrinsic value.
And then you come up with your bull case, right?
Your bear case was, what could go wrong, right?
Now you're coming up with your bull case.
What could go right?
This one has slightly higher growth assumptions than your base case.
Slightly higher margin assumptions than your base case.
And this gives you a higher estimated intrinsic value.
now fools you've come up with an estimated range of intrinsic values per share
for companies that are more predictable like pepsi like a utility like coca-cola
your range of estimated fair values is going to be more narrow
When you're valuing a crazy startup that's growing 100% a year, has not achieved scale yet,
has not proven it can do so, it's much harder to value that company. It's much less predictable.
A company that's growing 100% a year, literally in year 10, you don't know if it's going to be
growing 30% or 10%. But PepsiCo, growing 4% next year, I mean, come on. You can feel pretty
confident that 10 years from now, it's going to be growing 2% or 3%, right? But a company growing
100%, you don't have a clue. No one does. No one. So your range of estimated fair values has to be
much wider. For a company that's not generating profit margins, it's not generating profits,
and it's burning through cash, you don't know what its profit margins are going to be in 10 years.
You don't really even know if it's going to be profitable in 10 years. That's why you do the
work. That's why you do the research. That's why you do the due diligence. And your model,
hopefully, will model out and show you possible paths to profitability. That's the beauty of a
model. You hear investors all the time saying, oh, well, it's not profitable, but I see a path
to profitability. Show me the path. Show me the model. That's what the model lets you do.
It lets you see at least potential paths to profitability and self-funding and free cash
flow generation. But for these businesses earlier in their life cycle, they're not yet mature,
lots of competition, you're going to come up with a wider range of estimated fair values.
Last thing I'll say. What is fair value? We already defined intrinsic value or fundamental
value as the present value of future free cash flows. I'm going to give you the exact
same definition just another way. What is fair value? Fair value is the price that you can pay
for a stock and earn your discount rate and earn your required rate of return if your model is
somewhat correct. That's what fair value is. If you pay fair value for a business, if you think
the stock is worth a hundred, that's your estimate of fair value. Okay. That's your base case.
You think the stock's worth a hundred and the stock is currently trading at a hundred.
it. That's okay. You can still buy that stock. That just means, it doesn't mean you're never
going to make a penny. Because why? Because intrinsic values grow over time. If it's a good,
if it's a great profitable growth business with a competitive advantage, with an enduring
competitive advantage, intrinsic values grow over time. And so if you pay $100 for a stock that you
think is fairly valued at $100, if you pay fair value, that means you should expect
to generate an annualized return roughly equal to your discount rate, which we said was 8%.
That's a point that gets overlooked all the time.
If you're paying fair value, that means you should generate an annualized return over time
on average of roughly your discount rate, which we said was 8%.
Now, what if you set your discount rate at 5%
and you pay $100 for a stock
that you think is fairly valued at 100,
well, then if your model is roughly right,
then if you buy the stock at 100,
you should only expect to earn
a rough annualized return of now 5%.
Because now we set the discount rate at 5%.
And fools, this was discounted cash flow modeling.
and I am John Rotonti. Thank you so much for watching.
As always, people on the program may have interests in the stocks they talk about,
and The Motley Fool may have formal recommendations for or against stocks mentioned,
so don't buy or sell anything based solely on what you hear. We're off tomorrow for the Easter
holiday, but we'll be back on Monday. I'm Dylan Lewis. Thanks for listening. We'll see you soon.
Thank you.
