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    Capital Asset Pricing Model (CAPM)

    CAPM is the formula bankers use to figure out how much return equity investors demand. Start with a 'safe' return (a government bond), then add extra return for taking on stock-market risk, scaled by how volatile the specific stock is versus the market (its beta). The output is the cost of equity.

    Definition

    The Capital Asset Pricing Model (CAPM) is the standard method for estimating a company's cost of equity — the return shareholders demand for bearing risk. It says expected return equals the risk-free rate plus a risk premium scaled by beta, the stock's sensitivity to overall market movements. The risk premium is beta multiplied by the equity risk premium. CAPM's output feeds directly into WACC and therefore into every discounted cash flow valuation.

    Formula

    Cost of Equity (Re) = Rf + β × (Rm − Rf)

    Rf

    Risk-free rate — usually the 10-year US Treasury yield

    β

    Beta — the stock's sensitivity to market movements (systematic risk)

    Rm − Rf

    Equity risk premium — the market's expected return above the risk-free rate

    Rm

    Expected return of the overall market

    What CAPM is actually doing

    CAPM answers one question: given how risky this stock is, what return should investors expect? The logic is that investors only get paid for risk they can't diversify away — systematic, market-wide risk. Company-specific risk can be diversified, so the market doesn't compensate you for it. CAPM captures systematic risk through beta. A beta of 1.0 means the stock moves in line with the market; 1.5 means it's 50% more volatile (so investors demand more return); 0.7 means it's less volatile (less return needed). The model layers this on top of the risk-free rate to produce the cost of equity.

    The three inputs and where they come from

    Risk-free rate: typically the yield on a 10-year (sometimes 20-year) US Treasury, matching the long-term horizon of a DCF. Beta: measured by regressing the stock's returns against the market, but in practice you usually pull comparable companies' betas, un-lever them, then re-lever at your target's capital structure — see levered vs unlevered beta. Equity risk premium: the historical excess return of stocks over the risk-free rate, commonly assumed around 5-7%. Because two of the three inputs are estimates, small assumption changes meaningfully move the cost of equity — which is why interviewers probe each input.

    Strengths and limitations

    CAPM is the market standard because it's simple, defensible, and grounded in the idea that only non-diversifiable risk should be priced. But it leans on shaky assumptions: betas are unstable and backward-looking, the equity risk premium is debated, and the model assumes a single-factor world where beta explains all systematic risk. Critics point to size and value factors (Fama-French) that CAPM ignores. For private companies with no observable beta, you have to borrow betas from public comps. Despite the flaws, in an IB interview CAPM is THE expected answer for cost of equity — know it cold.

    Worked Example — With Real Numbers

    Assume a risk-free rate of 4.0%, a levered beta of 1.3, and an equity risk premium of 6.0%. Cost of equity = 4.0% + 1.3 × 6.0% = 4.0% + 7.8% = 11.8%. If the company also has $400M of debt at a 6% pre-tax cost, $600M of equity, and a 25% tax rate, that 11.8% cost of equity flows into WACC: (600/1,000 × 11.8%) + (400/1,000 × 6% × 0.75) = 7.08% + 1.8% = 8.88%.

    Key Takeaways

    1

    CAPM estimates the cost of equity from three inputs: risk-free rate, beta, and the equity risk premium.

    2

    It prices only systematic (non-diversifiable) risk — company-specific risk is assumed diversified away.

    3

    Beta is the lever: higher beta = more market sensitivity = higher demanded return.

    4

    The output feeds WACC, which is the discount rate in a DCF.

    5

    It's the expected interview answer for cost of equity despite real-world criticisms of its assumptions.

    Common Mistakes in Interviews

    Using the short-term T-bill rate instead of the 10-year Treasury for the risk-free rate in a long-horizon DCF.

    Plugging in a comparable's levered beta without un-levering and re-levering to the target's capital structure.

    Confusing the equity risk premium (Rm − Rf) with the total market return (Rm).

    Treating CAPM's output as the WACC — it's only the cost of equity, one component of WACC.

    How Interviewers Test This

    Expect 'Walk me through how you'd calculate the cost of equity.' Recite CAPM: Rf + β × ERP, then name each input and its source. A frequent follow-up is 'Where do you get beta?' — the strong answer is that you take levered betas of comparable companies, un-lever each to strip out their capital structure, take the median, then re-lever at your target's debt/equity. That two-step beta answer separates prepared candidates from the rest.

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