Security Market Line

AdvancedRisk Management2 min read

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:

PositionMeaningAction
Above SMLUndervalued (excess return for risk)Buy — positive alpha
On SMLFairly valued (return matches risk)Hold — zero alpha
Below SMLOvervalued (insufficient return for risk)Sell — negative alpha

SML vs. CML (Capital Market Line):

FeatureSMLCML
Risk MeasureBeta (systematic only)Total standard deviation
Applies ToAny security or portfolioEfficient portfolios only
PurposePricing individual securitiesOptimal 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