Valuation Models¶
Difficulty intermediate
Overview¶
Valuation determines the intrinsic value of an asset. The core principle: buy when price < value, sell when price > value.
Discounted Cash Flow (DCF)¶
Concept¶
The value of an asset equals the present value of all future cash flows:
where:
CF_tfree cash flow in periodt·rdiscount rate (typically WACC) ·ttime index does: the present-value sum of all forecast cash flows — the foundation of intrinsic valuation, best suited to mature businesses with predictable cash flows (industrials, consumer staples, established tech); avoid for early-stage or cyclical firms whose cash flows are too noisy to forecast.
Steps¶
- Forecast Free Cash Flows — Typically 5-10 years
- Calculate Terminal Value — Value beyond forecast period
- Discount to Present — Using Weighted Average Cost of Capital (WACC)
- Subtract Net Debt — Arrive at equity value
- Divide by Shares — Get per-share value
WACC Calculation¶
WACC = (E/V × Re) + (D/V × Rd × (1-T))
E = Market value of equity
D = Market value of debt
V = E + D
Re = Cost of equity (CAPM: Rf + β × ERP)
Rd = Cost of debt
T = Tax rate
where:
Emarket value of equity ·Dmarket value of debt ·Recost of equity from CAPM ·Rdpre-tax cost of debt ·Tmarginal tax rate ·Rfrisk-free rate ·βequity beta ·ERPequity risk premium does: the blended after-tax cost of all capital sources — used as the discount rate inside DCF; the after-tax debt term reflects the tax shield on interest. Suited to mature firms with stable capital structure; replace with adjusted present value for highly leveraged or rapidly delevering firms.
Comparable Company Analysis¶
Method¶
- Select peer group
- Calculate valuation multiples
- Apply median/average to target
Key Multiples¶
| Multiple | Formula | Best For |
|---|---|---|
| P/E | Price / EPS | Profitable companies |
| EV/EBITDA | Enterprise Value / EBITDA | Cross-border, different capital structures |
| P/S | Price / Revenue | Unprofitable, high-growth |
| P/B | Price / Book Value | Financials, asset-heavy |
| EV/Sales | Enterprise Value / Sales | Startups, SaaS |
| PEG | P/E / Growth Rate | Growth companies |
Dividend Discount Model (DDM)¶
Gordon Growth Model¶
where:
D₁expected dividend one year out ·rrequired equity return ·glong-run dividend growth rate (must be less thanr) does: the closed-form present value of a perpetually growing dividend stream — suited to mature dividend-payers with stable payout policies (utilities, consumer staples, large banks); useless for non-payers, hyper-growth firms, or any company whose dividend isn't reliably set by board policy.
Residual Income Model¶
where:
Book Valueopening shareholders' equity ·RI_tresidual income in periodt·Net Income_tGAAP earnings in periodt·rcost of equity does: prices equity as book value plus the present value of returns earned above the cost of capital — suited to financials (banks, insurers) and other firms where book value is meaningful and free cash flow is messy; the natural alternative to DCF for balance-sheet-driven businesses.
Asset-Based Valuation¶
Value = Fair Value of Assets - Liabilities
Best for: Real estate, holding companies, distressed firms
where:
Fair Value of Assetsmark-to-market value of all firm assets ·Liabilitiestotal interest-bearing and operating liabilities does: the net-asset-value floor — suited to real-estate vehicles, holding companies, closed-end funds, and distressed/liquidation cases where the going-concern assumption breaks down; not appropriate for asset-light businesses whose value sits in brand, IP, or recurring revenue.
Margin of Safety¶
Buy Price = Intrinsic Value × (1 - Margin of Safety)
Typical MoS: 20-50%
Benjamin Graham: "The margin of safety is always dependent on the price paid."
where:
Intrinsic Valuemodel output (DCF, DDM, or comps-based) ·Margin of Safetydiscount to intrinsic value the buyer demands does: the discipline of buying below model value to absorb forecast error — used to set entry triggers and to scale required margin by forecast confidence (narrow moats and cyclicals need 30–50%; stable compounders can tolerate 15–20%).
Practical Guidelines¶
- Multiple Methods — Cross-validate with 2-3 approaches
- Sensitivity Analysis — Test different assumptions
- Garbage In, Garbage Out — Forecasts are only as good as assumptions
- Market Price ≠ Value — Price is what you pay, value is what you get
- Update Regularly — Revalue when new information emerges
- Be Conservative — Use conservative growth rates and discount rates
- Know the Limitations — No model is perfect
Next Steps¶
- Ratio Analysis — Deep dive into financial ratios
- Macroeconomic Indicators — Macro context for valuation
- Earnings Analysis — Trading earnings events