Stock Valuation

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🎯 Stock Valuation: Finding the TRUE Price of a Stock

Imagine you’re at a candy store, and someone wants to sell you a magical candy jar. They say it costs $100. But how do you know if that’s a fair price? What if the jar is actually worth $200? Or only $20?

That’s exactly what stock valuation is about—figuring out the REAL value of a company’s stock!


🍬 The Candy Jar Story

Let’s say you have a magical candy jar that gives you 1 piece of candy every day, forever. How much would you pay for it?

  • If candy costs $1 each, you get $1 every day
  • That’s $365 per year!
  • Would you pay $100 for something that gives you $365 every year? ABSOLUTELY!
  • Would you pay $10,000? Hmm… maybe not so fast!

This is EXACTLY how we value stocks. Stocks are like candy jars—they can give you money (called dividends) regularly. We just need to figure out how much that’s worth TODAY.


📊 What is Stock Valuation?

Stock valuation is like being a treasure detective. You’re trying to find out:

“What is this company REALLY worth?”

The stock market tells you a PRICE (what people are paying right now). But that’s not always the VALUE (what it’s actually worth).

graph TD A["Stock Price"] --> B{Is Price = Value?} B -->|Price < Value| C["🎉 Good Deal!&lt;br/&gt;BUY"] B -->|Price > Value| D["⚠️ Too Expensive!&lt;br/&gt;WAIT"] B -->|Price = Value| E["😐 Fair Price"]

🎯 Simple Example

What You See What It Means
Stock Price: $50 What people pay TODAY
Intrinsic Value: $80 What it’s REALLY worth
Result $30 discount! Great buy!

💰 The Dividend Discount Model (DDM)

The Birthday Money Analogy

Imagine your grandma promises to give you $10 every birthday, forever! How much is that promise worth today?

Here’s the trick: Money today is worth MORE than money tomorrow.

Why? Because you can DO things with money today:

  • Buy ice cream NOW 🍦
  • Put it in a piggy bank and earn more
  • Trade it for toys TODAY

So $10 next year isn’t quite worth $10 today. It’s worth a little less—maybe $9.

The DDM Formula

The Dividend Discount Model says:

Stock Value = Future Dividends, converted to today’s dollars

Stock Value = D₁ / (r - g)

Where:
D₁ = Next year's dividend
r  = Required return (what you expect to earn)
g  = Growth rate (how fast dividends grow)

🎯 Real Example

Company ABC:

  • Pays $2 dividend per share
  • You want 10% return per year
  • Dividends grow 3% per year

Calculation:

Value = $2 / (0.10 - 0.03)
Value = $2 / 0.07
Value = $28.57

If the stock trades at $25, it’s a bargain! 🎉 If the stock trades at $40, it’s too expensive! ⚠️


🌱 The Gordon Growth Model

The Magic Bean Story

Remember Jack and the Beanstalk? Imagine you have a magic bean that:

  • Gives you 1 gold coin this year
  • Grows 5% bigger every year
  • Keeps growing FOREVER

How much would you pay for this bean?

The Gordon Growth Model is EXACTLY the answer to this question! It’s a special version of DDM that assumes dividends grow at a constant rate forever.

graph TD A["Year 1: $1.00"] --> B["Year 2: $1.05"] B --> C["Year 3: $1.10"] C --> D["Year 4: $1.16"] D --> E["Forever Growing..."] style A fill:#90EE90 style E fill:#FFD700

The Formula (Same as DDM!)

P₀ = D₁ / (r - g)

P₀ = Stock price today
D₁ = Dividend expected next year
r  = Your required rate of return
g  = Constant growth rate

🎯 Real Example

Coffee Shop Company:

  • Just paid $3 dividend
  • Dividends grow 4% yearly forever
  • You want 12% return

Step 1: Find next year’s dividend

D₁ = $3 × 1.04 = $3.12

Step 2: Calculate value

P₀ = $3.12 / (0.12 - 0.04)
P₀ = $3.12 / 0.08
P₀ = $39

The stock is worth $39 to you!

⚠️ Important Rule

g must ALWAYS be less than r!

Why? If a company grows faster than your required return forever, it would be worth INFINITY dollars! That’s impossible.

Scenario Result
r = 10%, g = 5% ✅ Works!
r = 8%, g = 3% ✅ Works!
r = 10%, g = 12% ❌ Doesn’t work!

💎 Intrinsic Value: The Hidden Treasure

The Lemonade Stand Story

You want to buy your friend’s lemonade stand. They say it’s worth $1,000. But is it?

Intrinsic value is what something is TRULY worth, based on:

  • How much money it makes
  • How much it will grow
  • How risky it is

It’s like finding the hidden treasure inside a box, not just looking at how shiny the box is!

graph TD A["🏪 Lemonade Stand"] --> B["Makes $200/year"] B --> C["Will grow 5%/year"] C --> D["Pretty safe business"] D --> E["💎 Intrinsic Value: $800"]

Market Price vs. Intrinsic Value

Term What It Means Example
Market Price What people PAY $100
Intrinsic Value What it’s WORTH $150
Difference Your opportunity! $50 profit potential!

🎯 Real Example

Tech Company XYZ:

You calculate using DDM:

  • Annual dividend: $5
  • Growth rate: 6%
  • Your required return: 11%
Intrinsic Value = $5 / (0.11 - 0.06)
Intrinsic Value = $5 / 0.05
Intrinsic Value = $100

Current market price: $75

The stock is $25 BELOW its intrinsic value! This could be a great investment! 🎯


🛡️ Margin of Safety: Your Safety Net

The Trampoline Story

Imagine you’re learning to walk on a tightrope. Would you practice:

  • A) 100 feet in the air with no net? 😰
  • B) 3 feet high with a big, soft trampoline below? 😊

Obviously B! The trampoline is your margin of safety.

In investing, the margin of safety is the cushion between what you pay and what you think it’s worth.

Why Do We Need It?

Because we might be WRONG!

  • Maybe the company won’t grow as fast
  • Maybe there’s a surprise problem
  • Maybe our math isn’t perfect

The margin of safety protects us from mistakes!

graph TD A["Intrinsic Value: $100"] --> B["Margin of Safety: 25%"] B --> C["Buy Price: $75 or less"] C --> D["✅ Protected if wrong!"] style D fill:#90EE90

The Formula

Buy Price = Intrinsic Value × (1 - Margin of Safety %)

Example:
Intrinsic Value = $100
Margin of Safety = 30%
Buy Price = $100 × (1 - 0.30) = $70

🎯 Real Example

You calculated intrinsic value: $50

Margin of Safety Maximum Buy Price Protection Level
10% $45 Low
25% $37.50 Medium
40% $30 High
50% $25 Very High

Famous investor Warren Buffett aims for at least 25-30% margin of safety!

When to Use Higher Margins

Situation Recommended Margin
Stable, old company 15-20%
Normal company 25-30%
New or risky company 40-50%
Very uncertain 50%+

🎓 Putting It All Together

Let’s value a real stock step-by-step!

📝 Example: Sunshine Snacks Inc.

Given Information:

  • Current dividend: $2.00 per share
  • Dividend grows 4% per year
  • You want 10% return
  • Current stock price: $28

Step 1: Calculate Next Year’s Dividend

D₁ = $2.00 × 1.04 = $2.08

Step 2: Apply Gordon Growth Model

Intrinsic Value = $2.08 / (0.10 - 0.04)
Intrinsic Value = $2.08 / 0.06
Intrinsic Value = $34.67

Step 3: Compare to Market Price

Intrinsic Value: $34.67
Market Price: $28.00
Difference: $6.67 (19% below value!)

Step 4: Apply Margin of Safety (25%)

Target Buy Price = $34.67 × 0.75 = $26

Step 5: Make Decision

Market Price ($28) > Target ($26)
Close but not quite there yet!
Wait for a small dip.

🌟 Key Takeaways

Concept One-Line Summary
Stock Valuation Finding what a stock is REALLY worth
DDM Value = Future dividends in today’s dollars
Gordon Growth Special DDM for constant-growth stocks
Intrinsic Value The TRUE worth (not market price)
Margin of Safety Buy below value to protect from mistakes

🎯 The Golden Rules

  1. Never pay more than something is worth
  2. Future money is worth less than today’s money
  3. Growth matters, but only reasonable growth
  4. Always leave room for error (margin of safety)
  5. Price is what you pay; value is what you get!

Remember: Stock valuation isn’t about being perfect—it’s about being approximately right rather than precisely wrong! 🎯

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