Valuation Methodology
A deep dive into the mathematics of dilution-aware stock 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
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 > gThe 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 = $71.43The traditional GGM assumes your ownership percentage stays constant. But in reality, companies continuously issue new shares through stock-based compensation (SBC), diluting existing shareholders.
The Hidden Cost
Real-World Example: NVIDIA (2018-2025)
| Metric | Amount |
|---|---|
| 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!
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
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
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
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 − gFor small values, this approximates to:
≈ d + y − gThis 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) = $71.43Burry Model:
$5 / [(1.10)(1.02) - 1.03] = $5 / 0.092 = $54.35Haircut: 24% — The dilution-aware value is 24% lower!
The Capital Asset Pricing Model (CAPM) calculates the appropriate discount rate based on the stock's systematic risk (beta).
CAPM Formula
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%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
Important Caveats
- • Models assume perpetual growth—real companies don't grow forever
- • Historical dilution may not predict future dilution
- • Growth rate estimates are inherently uncertain
- • This is one input among many for investment decisions
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