Cost of Equity
Think of cost of equity as the return shareholders demand for taking the risk of owning your stock instead of parking their money in safe Treasury bonds. It's calculated using CAPM and is always higher than the [cost of debt](https://www.ibflash.com/concepts/cost-of-debt).
Definition
Formula
CAPM: Ke = Rf + β × (Rm - Rf) Where: Rf = Risk-free rate (10-yr Treasury yield) β = Levered beta of the stock Rm - Rf = Equity risk premium (5.5–7.0%) Unlevered Beta = Levered Beta / [1 + (1 - T) × (D/E)] Re-Levered Beta = Unlevered Beta × [1 + (1 - T) × (D/E)]
CAPM: Cost of Equity
Re = Rf + B x (Rm - Rf)
10-Year US Treasury Yield
The baseline return you can earn with zero risk — what the US government pays to borrow money.
Regression vs. S&P 500
How sensitive this stock is to overall market movements. 1.2x means 20% more volatile than the market.
Historical market return minus Rf
The extra return investors demand for holding stocks instead of risk-free treasuries. Typically 5-7%.
1.2 x 6% = 7.2%
The company-specific risk premium: how much extra return this particular stock must offer, given its beta.
What Beta Means
How a stock moves relative to the overall market
Stable, regulated revenue. Moves less than the market — defensive stock.
Price movement
The market itself. Beta = 1.0 by definition.
Price movement
High growth, high volatility. Amplifies market moves — aggressive stock.
Price movement
Quick interpretation
B < 1 — Less volatile than market. Lower risk, lower expected return.
B = 1 — Moves with the market. Average systematic risk.
B > 1 — More volatile than market. Higher risk, higher expected return.
Cost of Equity Build-Up
Stacking the components from base to total
CAPM: The Standard Approach
The Capital Asset Pricing Model states: Ke = Rf + β × (Rm - Rf). The risk-free rate (Rf) is the yield on a 10-year U.S. Treasury bond (currently ~4.2–4.5%). Beta (β) measures the stock's volatility relative to the market — a beta of 1.2 means the stock moves 20% more than the market. The equity risk premium (Rm - Rf) is the excess return investors demand for holding stocks instead of risk-free bonds (typically 5.5–7.0% based on historical averages). This model assumes markets are efficient and investors are well-diversified.
Estimating Beta
Beta can be observed (regressing a stock's returns against market returns) or estimated using comparable company betas. For private companies or divisions, you use unlevered (asset) betas from public comps and then re-lever to the target capital structure: Levered Beta = Unlevered Beta × [1 + (1 - T) × (D/E)]. This ensures beta reflects the appropriate level of financial risk. Most databases (Bloomberg, FactSet) provide both raw and adjusted betas — adjusted betas are 'Bayesian' estimates that move toward 1.0 over time.
Size and Country Risk Premiums
For small-cap companies, analysts add a size premium (1–3%) because smaller stocks historically earn higher returns due to less liquidity and higher volatility. For companies in emerging markets, a country risk premium (1–5%) is added to account for political, currency, and economic instability. The modified CAPM formula becomes: Ke = Rf + β × ERP + Size Premium + Country Risk Premium. These adjustments are essential for accurate valuations in international M&A.
Alternative Approaches
While CAPM is dominant, alternatives exist. The Dividend Discount Model implies Ke = (D₁ / P₀) + g (next year's dividend yield plus growth rate). The Build-Up Method adds risk premiums for equity risk, size, industry, and company-specific factors. The Fama-French Three-Factor Model adds size (SMB) and value (HML) factors to CAPM. In practice, bankers use CAPM as the primary method and sanity-check with these alternatives. In interviews, CAPM is almost always what they're asking about.
Worked Example — With Real Numbers
Risk-free rate = 4.5%, Beta = 1.3, Equity risk premium = 6.0%, Size premium = 1.5%. Ke = 4.5% + 1.3 × 6.0% + 1.5% = 4.5% + 7.8% + 1.5% = 13.8%. If the company has 70% equity / 30% debt weighting and pre-tax [cost of debt](https://www.ibflash.com/concepts/cost-of-debt) is 5.5% with a 25% tax rate: WACC = 70% × 13.8% + 30% × 5.5% × 0.75 = 9.66% + 1.24% = 10.9%.
Key Takeaways
CAPM formula: Ke = Risk-Free Rate + Beta x Equity Risk Premium — this is the standard approach in banking
Cost of equity is always higher than cost of debt because equity holders are last in line to get paid
Beta measures how much a stock moves with the market — higher beta means higher risk means higher required return
For private companies, unlever betas from public comps and re-lever to the target's capital structure
Small-cap and country risk premiums are added when valuing smaller or emerging-market companies
Common Mistakes in Interviews
Using a company's dividend yield as its cost of equity — that only works for stable dividend-paying stocks (DDM approach)
Not adjusting beta for different capital structures — raw observed beta reflects the comp's leverage, not the target's
Using an unreasonably low equity risk premium — the historical U.S. ERP is 5.5-7.0%, not 3-4%
Confusing cost of equity with WACC — cost of equity is just one component of WACC, weighted by the equity proportion
How Interviewers Test This
Know CAPM cold. Common question: 'Walk me through how you calculate the cost of equity.' Name each component and a reasonable estimate. Follow-up: 'What drives the cost of equity higher?' Answer: Higher beta (riskier business), higher risk-free rate, higher equity risk premium, smaller company (size premium). Also know: 'Why is the cost of equity higher than the cost of debt?' Because equity is junior to debt in the capital structure and has no guaranteed payments. Practice with the DCF Calculator to see how cost of equity feeds into WACC.
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