Part 6: The Price You Pay – Valuation and the DCF
Phase 3: The Analyst (Hard Skills & Valuation)
In Part 5, you learned to read the "medical records" of a business—the Income Statement, Balance Sheet, and Cash Flow Statement. You can now identify a healthy, cash-generating business from a debt-ridden zombie. You can run the Buffett Filter and eliminate weak companies in minutes.
But here's the critical question that separates intelligent investors from gamblers:
Just because a business is wonderful doesn't mean the stock is a good buy.
You can find the best company in the world—growing revenue, printing cash, zero debt, beloved brand—and still lose money if you pay too much for it.
Warren Buffett's teacher, Benjamin Graham, put it perfectly:
"Price is what you pay. Value is what you get."
The market gives you the price every second of every trading day. But value—that's something you must calculate yourself.
This is where we build the ultimate tool in the intelligent investor's arsenal: The Discounted Cash Flow (DCF) Model.
By the end of this part, you'll be able to:
Calculate the intrinsic value (Fair Value) of any business
Determine your "margin of safety"—how much of a discount you demand before buying
Understand why a $500 stock can be cheaper than a $50 stock
Make buy/sell decisions based on math, not emotion
This is the weighing machine. Let's build it.
The Philosophy: Aesop's Fable Revisited
In Part 2, we introduced Aesop's lesson from 600 BC:
"A bird in the hand is worth two in the bush."
But then we asked: What if you could inspect the bush? What if you could count how many birds are in it, how fast they're multiplying, and how certain you are of catching them?
Suddenly, the decision becomes mathematical.
Investing is the same. You're giving up birds in your hand (cash today) for birds in the bush (future cash flows from a business). The DCF model lets you:
Count the birds in the bush (Project future cash flows)
Measure the distance to the bush (Apply a discount rate to account for risk and time)
Calculate the Fair Value (What should I pay today for those future birds?)
If the market offers you the bush for less than your calculated Fair Value, you buy. If the market wants more than Fair Value, you walk away.
It's that simple.
The DCF Formula: The Engine of Valuation
Here's the formula (don't panic—we'll break it down):
Fair Value = Σ [FCF₁/(1+r)¹ + FCF₂/(1+r)² + ... + FCFₙ/(1+r)ⁿ] + Terminal Value/(1+r)ⁿ
Translation in Plain English:
The Fair Value of a business is the sum of all its future Free Cash Flows, adjusted (discounted) for the fact that money today is worth more than money tomorrow.
Let's unpack each piece.
The Five Building Blocks of a DCF
1. Free Cash Flow (FCF): The Birds
From Part 5, you learned that Free Cash Flow is the cash left over after a company pays for operations and necessary investments (CapEx).
Formula: Operating Cash Flow - Capital Expenditures
Why FCF? Because it's the actual cash the business generates for its owners. This is what you, as a shareholder, have a claim to.
Example: Microsoft generates $87B in operating cash flow and spends $20B on CapEx.
FCF = $87B - $20B = $67B
This is the "bird in the hand" the business produces each year.
2. The Discount Rate (r): The Opportunity Cost
Remember from Part 1: the S&P 500 has historically returned about 10% per year. This is your hurdle rate—your opportunity cost.
If you can get 10% by doing nothing (buying the S&P 500 index), then any individual business you pick must beat that 10% to be worth your time.
The Discount Rate (r) = 10%
This is the rate we use to "discount" (reduce the value of) future cash flows, because:
Time Value of Money: $100 today is worth more than $100 in 10 years (you could invest that $100 today and have $259 in 10 years at 10% growth)
Risk: The future is uncertain. A bird today is more certain than a bird promised tomorrow.
Why 10%? Because it's simple, conservative, and represents your best alternative. If a business can't beat 10%, just buy the index and move on.
3. Projection Period (n): How Many Years?
We need to project Free Cash Flow into the future. But how far?
Standard Approach: 10 years
Why 10 years?
Long enough to capture the business's growth trajectory
Short enough to avoid wild, unreliable guesses
Beyond 10 years, we use a "Terminal Value" (explained below) to capture the remaining value.
4. Projecting Future Free Cash Flow: The Growth Rate
To project FCF for the next 10 years, we need to estimate how fast it will grow.
Where to find growth estimates:
Historical growth: Look at the past 5-10 years of FCF growth
Analyst estimates: Sites like Yahoo Finance or Seeking Alpha compile analyst projections
Your own judgment: Based on the company's moat, market size, and competitive position
Conservative Approach (The Buffett Way):
Year 1-5: Use a moderate growth rate (e.g., 8-12% for a strong business)
Year 6-10: Taper down to a slower rate (e.g., 5-7%) as the business matures
Example: Microsoft
Current FCF: $67B
Estimated Growth (Year 1-5): 10% per year
Estimated Growth (Year 6-10): 6% per year
Projected FCF:
Year | Growth Rate | Free Cash Flow |
|---|---|---|
1 | 10% | $73.7B |
2 | 10% | $81.1B |
3 | 10% | $89.2B |
4 | 10% | $98.1B |
5 | 10% | $107.9B |
6 | 6% | $114.4B |
7 | 6% | $121.2B |
8 | 6% | $128.5B |
9 | 6% | $136.2B |
10 | 6% | $144.4B |
5. Terminal Value: What Happens After Year 10?
The business doesn't stop generating cash after Year 10. We need to capture the value of all cash flows from Year 11 to infinity.
The Perpetuity Growth Method:
We assume the business will grow at a slow, steady rate forever (usually 2-3%, roughly matching GDP growth or inflation).
Terminal Value Formula:
Terminal Value = FCF₁₁ / (r - g)
Where:
FCF₁₁ = Free Cash Flow in Year 11
r = Discount rate (10%)
g = Perpetual growth rate (let's use 3%)
Microsoft Example:
Year 10 FCF: $144.4B
Year 11 FCF (growing at 3%): $144.4B × 1.03 = $148.7B
Terminal Value: $148.7B / (0.10 - 0.03) = $148.7B / 0.07 = $2,124B
This massive number represents the present value of all cash flows from Year 11 onward.
Putting It All Together: The DCF Calculation
Now we discount each year's cash flow back to today using our 10% discount rate.
Discount Formula:
Present Value of FCF = FCF / (1 + r)ⁿ
Where n is the number of years in the future.
Microsoft DCF (Simplified):
Year | FCF (Projected) | Discount Factor | Present Value |
|---|---|---|---|
1 | $73.7B | 1.10¹ = 1.10 | $67.0B |
2 | $81.1B | 1.10² = 1.21 | $67.0B |
3 | $89.2B | 1.10³ = 1.33 | $67.1B |
4 | $98.1B | 1.10⁴ = 1.46 | $67.2B |
5 | $107.9B | 1.10⁵ = 1.61 | $67.0B |
6 | $114.4B | 1.10⁶ = 1.77 | $64.6B |
7 | $121.2B | 1.10⁷ = 1.95 | $62.2B |
8 | $128.5B | 1.10⁸ = 2.14 | $60.0B |
9 | $136.2B | 1.10⁹ = 2.36 | $57.7B |
10 | $144.4B | 1.10¹⁰ = 2.59 | $55.8B |
Terminal | $2,124B | 1.10¹⁰ = 2.59 | $820.1B |
Total Present Value (Fair Value):
Sum of Years 1-10: $635.6B
Terminal Value (Discounted): $820.1B
Total Enterprise Value: $635.6B + $820.1B = $1,455.7B
From Enterprise Value to Fair Value Per Share
The number we calculated ($1,455.7B) is the Enterprise Value—the value of the entire business.
To find the Fair Value per share, we need to:
Add cash (Microsoft has ~$100B in cash)
Subtract debt (Microsoft has ~$50B in debt)
Divide by shares outstanding (Microsoft has ~7.4B shares)
Calculation:
Equity Value = Enterprise Value + Cash - Debt
Equity Value = $1,455.7B + $100B - $50B = $1,505.7B
Fair Value per Share = $1,505.7B / 7.4B shares = $203.47
Microsoft's Fair Value: ~$203 per share
The Buy Decision: Margin of Safety
Now comes the moment of truth. Let's say Microsoft is trading at $400 per share today.
Question: Is it a buy?
Answer: No. Here's why.
Our calculated Fair Value is $203. The market is charging $400. You'd be paying almost 2x what the business is worth.
But what if Microsoft were trading at $150 per share?
Now we're talking. You'd be buying a $203 business for $150—a 26% discount.
This discount is called your Margin of Safety.
The Margin of Safety: Your Insurance Policy
Benjamin Graham's most important lesson: Never pay full price.
Why?
Your projections could be wrong. Maybe Microsoft grows at 7% instead of 10%. Maybe competition eats into margins.
The market could overreact. Even great companies get temporarily hammered during recessions.
You want to sleep well at night. Buying with a margin of safety means even if things go moderately wrong, you're still likely to make money.
The Rule:
Minimum 20% discount: Acceptable for ultra-stable, wonderful businesses (Coca-Cola, Visa)
30-40% discount: Ideal for most businesses
50%+ discount: Required for riskier businesses or uncertain projections
Using our Microsoft example:
Fair Value: $203
20% Margin of Safety: $203 × 0.80 = $162
30% Margin of Safety: $203 × 0.70 = $142
Buy Decision:
If Microsoft trades at $162 or below → Consider buying (20% margin)
If Microsoft trades at $142 or below → Strong buy (30% margin)
If Microsoft trades at $400 → Walk away
A Real-World Example: Valuing Coca-Cola
Let's run through a complete DCF for a simpler, more stable business: Coca-Cola (KO).
Step 1: Find Current Free Cash Flow
From Coca-Cola's latest 10-K (Cash Flow Statement):
Operating Cash Flow: $10.5B
CapEx: $1.5B
Free Cash Flow: $10.5B - $1.5B = $9.0B
Step 2: Project Future FCF
Coca-Cola is a mature, slow-growth business. Let's be conservative:
Years 1-5: 5% growth
Years 6-10: 3% growth
Projected FCF:
Year | Growth | FCF |
|---|---|---|
1 | 5% | $9.45B |
2 | 5% | $9.92B |
3 | 5% | $10.42B |
4 | 5% | $10.94B |
5 | 5% | $11.49B |
6 | 3% | $11.83B |
7 | 3% | $12.19B |
8 | 3% | $12.56B |
9 | 3% | $12.93B |
10 | 3% | $13.32B |
Step 3: Calculate Terminal Value
Year 11 FCF: $13.32B × 1.03 = $13.72B
Perpetual Growth: 2.5%
Terminal Value: $13.72B / (0.10 - 0.025) = $13.72B / 0.075 = $182.9B
Step 4: Discount Everything to Present Value
Year | FCF | Discount Factor | PV |
|---|---|---|---|
1 | $9.45B | 1.10 | $8.59B |
2 | $9.92B | 1.21 | $8.20B |
3 | $10.42B | 1.33 | $7.83B |
4 | $10.94B | 1.46 | $7.49B |
5 | $11.49B | 1.61 | $7.13B |
6 | $11.83B | 1.77 | $6.68B |
7 | $12.19B | 1.95 | $6.25B |
8 | $12.56B | 2.14 | $5.87B |
9 | $12.93B | 2.36 | $5.48B |
10 | $13.32B | 2.59 | $5.14B |
Terminal | $182.9B | 2.59 | $70.6B |
Total Present Value: $68.66B + $70.6B = $139.3B
Step 5: Adjust for Cash and Debt
Cash: $10B
Debt: $40B
Equity Value: $139.3B + $10B - $40B = $109.3B
Step 6: Divide by Shares Outstanding
Shares Outstanding: 4.3B
Fair Value per Share: $109.3B / 4.3B = $25.42
Coca-Cola's Fair Value: ~$25 per share
Step 7: Apply Margin of Safety
20% Margin: $25.42 × 0.80 = $20.34
30% Margin: $25.42 × 0.70 = $17.79
Buy Decision:
If KO trades below $20 → Consider buying
If KO trades below $18 → Strong buy
If KO trades at $60 (hypothetically) → Massively overvalued, avoid
Why a $500 Stock Can Be Cheaper Than a $50 Stock
Beginners often think: "Tesla is $200 per share. That's too expensive. I'll buy this $5 stock instead."
This is backwards.
The stock price means nothing without context. What matters is Price vs. Fair Value.
Example:
Stock A: Price = $500, Fair Value = $800 → Undervalued by 37.5% → BUY
Stock B: Price = $50, Fair Value = $30 → Overvalued by 66% → AVOID
Price is irrelevant. Value is everything.
The DCF in Practice: When to Use It
The DCF model is the gold standard for valuing businesses, but it's not perfect for every situation.
When DCF Works Best:
✅ Mature, stable businesses with predictable cash flows (Coca-Cola, Procter & Gamble, Visa)
✅ Capital-light businesses with high FCF margins (software, consumer brands)
✅ Companies with long track records (10+ years of data)
When DCF Struggles:
❌ Startups with no cash flow (Tesla in 2010, Uber, unprofitable tech)
❌ Cyclical businesses with erratic earnings (airlines, commodities)
❌ Banks and financials (different accounting, use P/E or P/B instead)
❌ Turnaround stories (too much uncertainty)
For these situations, you either:
Use simpler valuation metrics (P/E ratio, Price-to-Sales)
Wait until the business matures and generates consistent cash
Skip them entirely and focus on wonderful businesses with clear cash flows
The Buffett Shortcut: The "Back of the Envelope" DCF
Warren Buffett doesn't use spreadsheets. He does DCFs in his head.
Here's his shortcut:
"If I can't figure out the value in 10 minutes, I move on."
The Mental Model:
What's the current FCF? (e.g., $10B)
Can this business grow FCF at 8-10% for the next decade? (Yes/No)
What's a reasonable exit multiple? (e.g., 15x FCF in 10 years)
Discount back at 10% per year
Example:
Coca-Cola FCF today: $9B
In 10 years (at 5% growth): $9B × 1.05¹⁰ = $14.7B
Exit Value (at 15x FCF): $14.7B × 15 = $220B
Discount back 10 years at 10%: $220B / 2.59 = $85B
Divide by shares (4.3B): $85B / 4.3B = $19.77 per share
This rough estimate ($19.77) is close to our detailed DCF result ($25.42). Buffett's shortcuts sacrifice precision for speed, but they get you 80% of the way there.
The Key: Only invest when the answer is obviously yes. If you have to squint to make the numbers work, walk away.
Common DCF Mistakes to Avoid
Mistake #1: Garbage In, Garbage Out
If you project 30% FCF growth for 10 years for a mature business, your Fair Value will be absurdly high. Be conservative.
The Fix: Use historical growth rates as a baseline. If a business has grown FCF at 8% historically, don't project 15% unless you have a compelling reason.
Mistake #2: Ignoring the Terminal Value
The Terminal Value often represents 60-80% of the total Fair Value. If you mess this up, your entire DCF is wrong.
The Fix: Use conservative perpetual growth rates (2-4%). Never use rates above 5% unless you're valuing a hyper-growth tech company.
Mistake #3: Forgetting to Adjust for Debt
The DCF gives you Enterprise Value (the value of the whole business). You must subtract debt and add cash to get Equity Value (what shareholders own).
The Fix: Always check the Balance Sheet for cash and debt before dividing by shares.
Mistake #4: False Precision
Your DCF might spit out "$137.43 per share." Don't take this as gospel. The future is uncertain.
The Fix: Round to rough ranges. "Fair Value is somewhere between $130-$150" is more honest than "$137.43."
Your Homework: Run Your First DCF
Before moving to Part 7, you need to build a DCF yourself. Here's the assignment:
Step 1: Pick a Mature, Stable Business
Good choices:
Johnson & Johnson (JNJ)
Procter & Gamble (PG)
Visa (V)
McDonald's (MCD)
Avoid: Tesla, Amazon (too complex for your first DCF)
Step 2: Pull the Latest 10-K
Go to the SEC's EDGAR database or your brokerage.
Step 3: Find the Numbers
Free Cash Flow (Operating Cash Flow - CapEx)
Cash on Balance Sheet
Total Debt
Shares Outstanding
Step 4: Build Your Projections
Project FCF for 10 years (use conservative growth rates: 5-8%)
Calculate Terminal Value (use 2-3% perpetual growth)
Step 5: Discount and Calculate
Discount each year's FCF at 10%
Sum them up
Adjust for cash/debt
Divide by shares
Step 6: Compare to Market Price
Is the stock undervalued, fairly valued, or overvalued?
What's your margin of safety?
Deliverable: Write down:
"Fair Value: $X per share"
"Current Price: $Y per share"
"Margin of Safety: Z%"
"Buy/Hold/Avoid Decision"
Conclusion: The Weighing Machine is Yours
You now possess the most powerful tool in investing: the ability to calculate what a business is actually worth.
✅ You can project Free Cash Flows into the future
✅ You can discount them back to present value using a 10% hurdle rate
✅ You can calculate Terminal Value to capture long-term growth
✅ You can adjust for cash and debt to find Fair Value per share
✅ You can apply a Margin of Safety to protect yourself from errors
This is what separates intelligent investors from the crowd.
The crowd sees: "Tesla is up 50% this month! I should buy!"
You see: "Tesla's Fair Value is $120. The market is charging $250. I'll wait."
The crowd sees: "This stock is only $10! It's cheap!"
You see: "Fair Value is $6. It's actually overvalued by 66%. Pass."
Price is what you pay. Value is what you get.
In Part 7, we'll tackle the biggest debate in investing: Should you just buy the S&P 500 and be done with it, or should you pick individual "Wonderful Businesses"?
We'll weigh the pros and cons of passive index investing vs. active stock picking, and help you decide which path fits your personality, time commitment, and goals.
The foundation is built. Now we choose our strategy.
Let's turn the page.
