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Risk & Portfolio

CAPM & Beta

Pricing risk
~25 min · 6 lessons

What you'll learn

  • Compute beta
  • Apply the CAPM formula

Lessons

  1. 🎢
    Same Average, Different Ride
    Two stocks. One number you've been missing.
    Start →
  2. The Beta Zoo
    Finish the previous lesson to unlock
  3. The CAPM Formula
    Finish the previous lesson to unlock
  4. The Security Market Line
    Finish the previous lesson to unlock
  5. Beta in the Wild
    Finish the previous lesson to unlock
  6. Boss Round: CAPM Honestly
    Finish the previous lesson to unlock

Sources

All content is drawn from the sources below. We deliberately avoid unverified material.

  • Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk (1964)
    William F. Sharpe, Journal of Finance, vol. 19, no. 3, pp. 425-442 · academic
    Sharpe's original CAPM paper. Source for the formula E[R] = Rf + β·(Rm − Rf) used throughout lessons 3, 4 and 6.
    https://www.jstor.org/stable/2977928
  • The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets (1965)
    John Lintner, Review of Economics and Statistics 47, pp. 13-37 · academic
    Lintner's independent derivation of CAPM. Used to back the 'three independent fathers' framing in lesson 6.
    https://www.jstor.org/stable/1924119
  • Equilibrium in a Capital Asset Market (1966)
    Jan Mossin, Econometrica 34, pp. 768-783 · academic
    Mossin's independent derivation of CAPM, completing the trio cited in the boss-round history match.
    https://www.jstor.org/stable/1910098
  • The Cross-Section of Expected Stock Returns (1992)
    Eugene F. Fama and Kenneth R. French, Journal of Finance, vol. 47, no. 2, pp. 427-465 · academic
    The empirical critique used in lesson 6. Reported that beta alone has weak explanatory power once size and book-to-market are included, and proposed the three-factor model.
    https://www.jstor.org/stable/2329112
  • A Critique of the Asset Pricing Theory's Tests (1977)
    Richard Roll, Journal of Financial Economics 4, pp. 129-176 · academic
    Roll's argument that the true CAPM market portfolio is unobservable and that any empirical test is a joint test of model and proxy. Source for the Roll critique in lesson 6.
    https://www.sciencedirect.com/science/article/pii/0304405X77900095
  • Investments (Bodie, Kane, Marcus)
    McGraw-Hill · book
    Standard graduate textbook treatment of the CAPM, the Security Market Line, and the systematic-versus-idiosyncratic risk distinction. Backbone of lessons 3 and 4.
  • Damodaran Online: Industry Betas and Cost of Equity Datasets
    Aswath Damodaran, NYU Stern School of Business · data
    Public dataset with annual industry betas used for the rough numbers in lesson 2 (utilities around 0.5 to 0.7, large-cap tech well above 1.5, gold-related sectors near zero or slightly negative).
    https://pages.stern.nyu.edu/~adamodar/
  • S&P 500 and S&P Sector Index Annual Returns Factsheets
    S&P Dow Jones Indices · data
    Source for the historical annual return figures used in lesson 5: S&P 500 about minus 37 percent in 2008, Consumer Staples sector about minus 17 percent in 2008, S&P 500 about plus 16 percent in 2020 and minus 19 percent in 2022.
    https://www.spglobal.com/spdji/en/