Security market line
The security market line (SML) is the CAPM plotted on a graph of expected return versus beta. Assets on the line are fairly priced; those above offer excess return and are undervalued, while those below are overvalued.
FrameworkCAPM
See it move
The security market line plots beta on the horizontal axis against expected return on the vertical axis, passing through the risk-free rate at beta zero and the market return at beta one. An asset plotting above the line earns more than its beta justifies and looks undervalued; investor buying pushes its price up until the return falls back to the line. An asset below the line is overvalued.
The formula
Variables
- Expected return on asset i
- Risk-free rate: the y-intercept of the line, where β = 0
- Beta of asset i: measure of systematic risk relative to the market portfolio
- Expected return on the market portfolio (β = 1)
- Market risk premium: the slope of the security market line
This is the CAPM equation. Plotted with β on the x-axis and expected return on the y-axis, it is a straight line. Assets above the SML offer excess return and appear undervalued; assets below the SML are overvalued.
Check yourself
The CAPM implies that a share with a beta of 0.8 should offer a required return of 9%. After a price decline, the share now offers an expected return of 12%. Where does it plot relative to the security market line (SML), and what does arbitrage logic suggest will happen next?