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Valuation Methodology

A deep dive into the mathematics of dilution-aware stock valuation

1. Traditional Gordon Growth Model (GGM)
The foundation of perpetuity-based valuation

The Gordon Growth Model (also called the Dividend Discount Model) calculates the present value of a perpetually growing stream of cash flows. It's the foundation of most intrinsic value calculations.

The Formula

PV = CF₁ / (d - g)

Variables

  • PV = Present Value (fair value per share)
  • CF₁ = Expected cash flow next year
  • d = Discount rate (required return)
  • g = Perpetual growth rate

Key Constraint

d > g

The discount rate must exceed the growth rate, otherwise the formula produces negative or infinite values.

Example Calculation

A company with $5 per share cash flow, 10% discount rate, and 3% growth:

PV = $5 / (0.10 - 0.03) = $5 / 0.07 = $71.43
2. The Dilution Problem
Why traditional valuation overstates intrinsic value

The traditional GGM assumes your ownership percentage stays constant. But in reality, companies continuously issue new shares through stock-based compensation (SBC), diluting existing shareholders.

Real-World Example: NVIDIA (2018-2025)

MetricAmount
GAAP Net Income$205B
+ GAAP SBC (add-back)+$20.6B
Wall Street "Adjusted" Earnings$226B
- Actual Buybacks-$91B
- RSU Tax Withholdings-$21.5B
TRUE Owner's Earnings$114B

Earnings Quality: 50% — Wall Street overstates NVIDIA's earnings by 2x!

The GAAP SBC expense ($20.6B) is essentially meaningless. The TRUE cost of SBC was $112.5B (buybacks + RSU taxes)—5.5x higher than the accounting expense!

3. Owner's Earnings (Burry's Method)
The true cash flow available to shareholders

Michael Burry's Owner's Earnings formula calculates the actual cash flow that belongs to shareholders after accounting for the real cost of stock-based compensation.

Owner's Earnings Formula

OE = NI + SBC − Buybacks − RSU Tax

Add Back (+)

  • NI = Net Income (GAAP)
  • SBC = Stock-Based Compensation expense (non-cash)

Subtract (−)

  • Buybacks = Cash spent repurchasing shares
  • RSU Tax = Cash paid for RSU tax withholdings

SEC XBRL Fields Used

  • • us-gaap:NetIncomeLoss
  • • us-gaap:ShareBasedCompensation
  • • us-gaap:PaymentsForRepurchaseOfCommonStock
  • • us-gaap:PaymentsRelatedToTaxWithholdingForShareBasedCompensation

Earnings Quality Metric

Earnings Quality = Owner's Earnings / Wall Street Earnings

  • • >80% = Good — SBC cost is reasonable
  • • 60-80% = Caution — Significant dilution
  • • <60% = Red Flag — Earnings are inflated
4. The Dilution-Aware Model
Adjusting the GGM for ongoing shareholder dilution

When a company perpetually dilutes shareholders at rate y, we need to adjust the valuation formula. The effective growth of per-share value is reduced.

Burry's Dilution-Aware Formula

PV = CF₁ / [(1+d)(1+y) − (1+g)]

New Variable

y = Annual dilution rate (share count growth)

  • • Positive y = dilution (shares increasing)
  • • Negative y = buybacks (shares decreasing)

Key Constraint

(1+d)(1+y) > (1+g)

The combined effect of discount rate and dilution must exceed growth.

Mathematical Derivation

The denominator can be expanded:

(1+d)(1+y) − (1+g) = d + y + dy − g

For small values, this approximates to:

≈ d + y − g

This shows that dilution (y) effectively adds to the discount rate, reducing the present value.

Example Comparison

Same company: CF₁=$5, d=10%, g=3%, but with 2% annual dilution:

Traditional GGM:

$5 / (0.10 - 0.03) = $71.43

Burry Model:

$5 / [(1.10)(1.02) - 1.03] = $5 / 0.092 = $54.35

Haircut: 24% — The dilution-aware value is 24% lower!

5. CAPM Discount Rate
Calculating the required rate of return

The Capital Asset Pricing Model (CAPM) calculates the appropriate discount rate based on the stock's systematic risk (beta).

CAPM Formula

d = Rf + β × (Rm − Rf)

Rf

Risk-free rate (10-year Treasury yield)

β (Beta)

Stock's sensitivity to market movements

Rm − Rf

Market risk premium (~5-7% historically)

Example

With Rf=4.5%, β=1.2, and market premium=5.5%:

d = 4.5% + 1.2 × 5.5% = 4.5% + 6.6% = 11.1%
6. Interpreting Results
How to use the valuation output

Valuation Haircut

The percentage difference between Traditional GGM and Burry's model. A larger haircut indicates more significant dilution impact.

  • • 0-10%: Minimal dilution impact
  • • 10-25%: Moderate dilution
  • • 25%+: Significant dilution concern

Upside/Downside

Compare fair value to current market price:

  • • Positive: Stock may be undervalued
  • • Negative: Stock may be overvalued

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