Security Market Line
Quick Definition
A graphical representation of the CAPM showing the expected return of investments at different levels of systematic risk (beta).
What Is Security Market Line?
The Security Market Line (SML) is a visual representation of the Capital Asset Pricing Model (CAPM). It plots expected return against beta (systematic risk) and shows the theoretical fair return for any level of market risk.
SML Components:
- Y-axis: Expected return
- X-axis: Beta (systematic risk)
- Intercept: Risk-free rate (where β = 0)
- Slope: Market risk premium (Rm - Rf)
Reading the SML:
| Position | Meaning | Action |
|---|---|---|
| Above SML | Undervalued (excess return for risk) | Buy — positive alpha |
| On SML | Fairly valued (return matches risk) | Hold — zero alpha |
| Below SML | Overvalued (insufficient return for risk) | Sell — negative alpha |
SML vs. CML (Capital Market Line):
| Feature | SML | CML |
|---|---|---|
| Risk Measure | Beta (systematic only) | Total standard deviation |
| Applies To | Any security or portfolio | Efficient portfolios only |
| Purpose | Pricing individual securities | Optimal portfolio construction |
Example:
- Risk-free rate: 4%
- Market return: 10%
- Stock A: Beta = 1.3, Actual return = 14% → Above SML (α = +2.2%)
- Stock B: Beta = 0.8, Actual return = 6% → Below SML (α = -2.8%)
Practical Application:
- Fund managers are evaluated by where their portfolios plot relative to the SML
- Positive alpha (above SML) = skilled management
- Negative alpha (below SML) = underperformance
Limitations:
- Based on CAPM assumptions (single factor, efficient markets)
- Beta isn't stable over time
- Real markets have multiple risk factors beyond beta
Formula
Formula
E(Ri) = Rf + βi × (E(Rm) - Rf)Security Market Line Example
- 1A stock plotting above the SML earns more return than its beta suggests — it has positive alpha and may be undervalued
- 2An index fund plots exactly on the SML with zero alpha — matching the market return for its risk level
Related Terms
Capital Asset Pricing Model (CAPM)
A foundational financial model that describes the relationship between systematic risk (beta) and expected return for an asset.
Beta (β)
A measure of a stock's volatility relative to the overall market, where a beta of 1.0 means the stock moves in line with the market, above 1.0 means more volatile, and below 1.0 means less volatile.
Alpha (α)
The excess return of an investment relative to a benchmark index, representing the value added (or lost) by active management or stock selection.
Equity Risk Premium
The excess return that investing in the stock market provides over the risk-free rate, compensating investors for bearing equity market risk.
Standard Deviation
A statistical measure of how spread out returns are from the average, quantifying investment volatility and risk.
Risk Management
The systematic process of identifying, assessing, and mitigating financial risks to protect portfolio value and achieve investment objectives.
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