CAPM, Beta, Systematic Risk, and the Security Market Line Explained
Master the Capital Asset Pricing Model from concept through calculation. Learn what beta really measures, how systematic risk differs from total risk, and how to use the Security Market Line to identify mispriced stocks — with fully worked examples.
What You'll Learn
- ✓Calculate expected return using the CAPM formula
- ✓Interpret beta as a measure of systematic risk
- ✓Distinguish systematic risk from unsystematic risk and explain why only one is priced
- ✓Plot securities on the Security Market Line and identify overvalued or undervalued stocks
- ✓Apply CAPM to real problems in cost of equity and portfolio management
1. What CAPM Tells You in 30 Seconds
The Capital Asset Pricing Model says an investor's required return on any asset equals the risk-free rate plus a risk premium that depends solely on the asset's sensitivity to the overall market. The formula is E(Ri) = Rf + βi × (Rm − Rf). Beta measures that sensitivity, and the market risk premium (Rm − Rf) is the extra return investors demand for holding the market instead of a risk-free asset. If you know three inputs — risk-free rate, beta, and market risk premium — you can calculate the required return for any stock.
Key Points
- •E(Ri) = Rf + β × (Rm − Rf) — this is the CAPM equation you'll use constantly
- •CAPM prices only systematic (market) risk because unsystematic risk can be diversified away
- •The model gives you a required return, which doubles as the cost of equity for corporate finance problems
2. Beta: What It Measures and How to Interpret It
Beta quantifies how much a stock moves relative to the market. A beta of 1.0 means the stock tends to move in lockstep with the market. A beta of 1.5 means the stock is 50% more volatile than the market in the same direction — when the market rises 10%, this stock is expected to rise 15%, and vice versa. A beta below 1.0 indicates the stock is less sensitive to market swings. Utility companies typically carry betas around 0.4 to 0.6 because demand for electricity doesn't fluctuate much with economic cycles. Technology stocks often have betas of 1.2 to 1.8 because their revenues are more cyclically sensitive. Beta is estimated by regressing a stock's historical returns against market returns, usually over 3 to 5 years of monthly data. The slope of that regression line is the beta coefficient. In practice, most students pull beta from a data provider like Bloomberg or Yahoo Finance, but understanding the regression logic matters because it reveals beta's limitations: it's backward-looking, sensitive to the time period chosen, and assumes the relationship is linear and stable.
Key Points
- •β = 1.0 means market-average sensitivity; above 1.0 is aggressive, below 1.0 is defensive
- •Beta is the slope of a regression of the stock's returns on market returns
- •Historical beta may not predict future beta — industry changes, leverage changes, and strategy shifts can alter it
3. Systematic vs. Unsystematic Risk
Total risk, measured by standard deviation, has two components. Systematic risk (also called market risk or non-diversifiable risk) comes from economy-wide factors: interest rate changes, recessions, inflation surprises, geopolitical events. Every stock is exposed to these forces to some degree. Unsystematic risk (also called firm-specific, idiosyncratic, or diversifiable risk) comes from factors unique to one company: a product recall, a CEO departure, a patent lawsuit, or a single factory fire. Here's the critical insight that CAPM rests on: unsystematic risk vanishes in a well-diversified portfolio. When you hold 25 to 30 stocks across different industries, the good surprises at some firms roughly cancel out the bad surprises at others. What's left is pure systematic risk. Because investors can eliminate unsystematic risk for free by diversifying, the market doesn't pay them for bearing it. Only systematic risk earns a risk premium. That's why CAPM uses beta (a measure of systematic risk) instead of standard deviation (a measure of total risk).
Key Points
- •Systematic risk affects all assets and cannot be diversified away — recessions, rate changes, inflation
- •Unsystematic risk is firm-specific and disappears in a diversified portfolio of 25-30 stocks
- •CAPM's core logic: since unsystematic risk can be eliminated for free, only systematic risk is compensated
4. The Security Market Line: Pricing Risk Visually
The Security Market Line is the graphical representation of CAPM. The x-axis is beta, the y-axis is expected return, and the SML is a straight line from the risk-free rate (at beta = 0) through the market portfolio (at beta = 1.0). Every fairly priced asset should plot directly on the SML. If a stock's expected return plots above the SML, it's offering more return than its beta-level of risk requires — it's undervalued and represents a buying opportunity. If it plots below the SML, it's offering less return than required — it's overvalued. The distance above or below the SML is called alpha. Positive alpha means the stock is expected to outperform its risk-adjusted benchmark; negative alpha means underperformance. Don't confuse the SML with the Capital Market Line. The CML plots expected return against total risk (standard deviation) and applies only to efficient portfolios. The SML plots expected return against beta and applies to any individual security or portfolio. For exam purposes, if the question asks about an individual stock's pricing, you want the SML.
Key Points
- •SML: x-axis is beta, y-axis is expected return — every fairly priced asset sits on the line
- •Above the SML = undervalued (positive alpha); below = overvalued (negative alpha)
- •SML uses beta (systematic risk) for any asset; CML uses standard deviation (total risk) for efficient portfolios only
5. Worked Example: Calculating Required Return and Identifying Mispricing
Suppose the risk-free rate is 4%, the market risk premium is 6%, and you're analyzing three stocks. Stock A has β = 0.8, Stock B has β = 1.3, and Stock C has β = 1.7. Using CAPM, the required returns are: Stock A: 4% + 0.8 × 6% = 8.8%. Stock B: 4% + 1.3 × 6% = 11.8%. Stock C: 4% + 1.7 × 6% = 14.2%. Now suppose your analyst forecasts actual expected returns of 10% for A, 11% for B, and 16% for C. Stock A (10% vs. 8.8% required) has positive alpha of 1.2% — it's undervalued. Stock B (11% vs. 11.8% required) has negative alpha of −0.8% — it's overvalued. Stock C (16% vs. 14.2% required) has positive alpha of 1.8% — it's undervalued. You'd buy A and C, avoid or short B. Snap a photo of any CAPM problem and FinanceIQ solves it step by step, showing the formula, plugging in the values, and interpreting the result so you understand the logic behind the answer.
Key Points
- •Alpha = Expected return − Required return from CAPM. Positive alpha means buy, negative means avoid.
- •Always calculate required return first, then compare to the forecast to determine mispricing
- •The risk-free rate anchors everything — a change in Rf shifts the entire SML up or down
6. CAPM in Corporate Finance: Cost of Equity
CAPM's biggest practical application isn't picking stocks — it's estimating the cost of equity for WACC. When a firm calculates its weighted average cost of capital, it needs a cost of equity. CAPM provides it directly: Re = Rf + β × (Rm − Rf). The cost of equity is the return shareholders require for bearing the risk of owning the stock. It's not a cash outflow like interest on debt, but it's a real economic cost because shareholders could invest elsewhere. For a firm with β = 1.2, a risk-free rate of 3.5%, and a market risk premium of 5.5%, the cost of equity is 3.5% + 1.2 × 5.5% = 10.1%. This feeds directly into WACC, which feeds into NPV calculations for capital budgeting decisions. Getting beta wrong means getting WACC wrong, which means making bad investment decisions. That's why understanding beta's limitations and sensitivities matters beyond the exam. This content is for educational purposes only and does not constitute financial advice.
Key Points
- •Cost of equity = CAPM required return. It's the biggest input to WACC for most firms.
- •An error in beta cascades through WACC into every NPV calculation the firm makes
- •Use comparable company betas (unlevered and re-levered) when the firm's own beta is unreliable
Key Takeaways
- ★E(Ri) = Rf + βi × (Rm − Rf). Know this formula cold — it appears in investments, corporate finance, and CFA exams.
- ★Beta of the market portfolio is always 1.0. Beta of a risk-free asset is always 0.
- ★Portfolio beta is the weighted average of individual asset betas — no covariance adjustment needed.
- ★The SML prices individual securities using beta. The CML prices efficient portfolios using standard deviation.
- ★CAPM assumes investors hold diversified portfolios, markets are efficient, and there are no taxes or transaction costs.
Practice Questions
1. The risk-free rate is 3%, the market return is 10%, and a stock has β = 1.4. What is the CAPM required return? If the stock is expected to return 12%, is it overvalued or undervalued?
2. A portfolio contains 40% Stock X (β = 0.9) and 60% Stock Y (β = 1.6). What is the portfolio beta? If Rf = 2% and MRP = 6%, what is the portfolio's required return?
3. Why doesn't CAPM use standard deviation to measure risk?
FAQs
Common questions about this topic
The Capital Asset Pricing Model (CAPM) calculates the expected return on an investment based on its systematic risk. The formula is E(Ri) = Rf + β × (Rm − Rf). It matters because it provides the cost of equity for WACC calculations, helps identify overvalued and undervalued securities, and forms the theoretical backbone of modern portfolio theory. Nearly every corporate finance and investments course teaches CAPM as a foundational model.
CAPM relies on assumptions that don't hold perfectly in practice: investors are rational and hold diversified portfolios, markets are frictionless, and beta is stable over time. Empirical research shows that other factors — firm size, value vs. growth, momentum — also explain returns (this led to Fama-French multi-factor models). Beta is estimated from historical data and can change as a company's business mix or leverage changes. Despite these issues, CAPM remains the most widely used model for estimating cost of equity.
Yes. Snap a photo of any CAPM problem — whether it's calculating required return, finding portfolio beta, identifying mispricing on the SML, or estimating cost of equity — and FinanceIQ walks you through each step with the formula, inputs, and interpretation.