Formula
E(Ri) = Rf + βi[E(Rm) − Rf]. With a 3% risk-free rate, 8% expected market return and beta 1.2, the required return is 9%, used as the cost of equity in valuation.
Beta and systematic risk
Following Markowitz, diversification removes firm-specific risk, leaving market-wide risk. Beta = Cov(Ri,Rm)/Var(Rm); above 1 means more sensitive than the market.
CML and SML
The capital market line relates efficient portfolios' returns to total risk; the security market line relates any asset's return to beta. Assets above the SML look undervalued.
Assumptions and critiques
It assumes mean-variance investors, homogeneous expectations, risk-free borrowing and no frictions. Roll argued the true market portfolio is unobservable; Fama and French (1992) found size and book-to-market explain returns better, leading to the three-factor model. Ross's APT allows multiple factors. CAPM remains widely used for its simplicity; anomalies are also studied in behavioural finance.
References
- Sharpe, W. F. (1964). Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3), 425-442.
- Lintner, J. (1965). The valuation of risk assets and the selection of risky investments. Review of Economics and Statistics, 47(1), 13-37.
- Fama, E. F., & French, K. R. (2004). The capital asset pricing model: Theory and evidence. Journal of Economic Perspectives, 18(3), 25-46.
- Roll, R. (1977). A critique of the asset pricing theory's tests. Journal of Financial Economics, 4(2), 129-176.