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Risk & Portfolio

Volatility & Sharpe

Measuring bumpiness
~25 min · 6 lessons

What you'll learn

  • ✓Compute volatility
  • ✓Compute Sharpe ratio

Lessons

  1. ðŸŽĒ
    Two Paths to 8 Percent
    Same destination, very different ride
    Start →
  2. The Standard Wobble Metric
    Finish the previous lesson to unlock
  3. Reward Per Unit of Wobble
    Finish the previous lesson to unlock
  4. Cousins of the Sharpe
    Finish the previous lesson to unlock
  5. Sharpes in the Wild
    Finish the previous lesson to unlock
  6. Boss Round: Read the Number Critically
    Finish the previous lesson to unlock

Sources

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

  • Mutual Fund Performance (1966)
    William F. Sharpe, Journal of Business, vol. 39 no. 1 part 2, pp. 119 to 138 · academic
    The original Sharpe ratio, introduced as the 'reward-to-variability ratio'. Source for lesson 3 history and the formula.
    https://www.jstor.org/stable/2351741
  • The Sharpe Ratio (1994)
    William F. Sharpe, Journal of Portfolio Management, Fall 1994 · academic
    Sharpe's own 1994 follow-up clarifying the ex-ante and ex-post definitions. Used in lessons 3 and 6.
    https://web.stanford.edu/~wfsharpe/art/sr/sr.htm
  • Performance Measurement in a Downside Risk Framework (1994)
    Frank A. Sortino and Lee N. Price, Journal of Investing, Fall 1994 · academic
    Original Sortino ratio definition. Source for lesson 4.
  • The Statistics of Sharpe Ratios (2002)
    Andrew W. Lo, Financial Analysts Journal, July/August 2002 · academic
    Statistical caveats on Sharpe estimates: short samples, autocorrelation, skew, and the LTCM example. Backbone of lessons 5 and 6.
    https://www.cfainstitute.org/en/research/financial-analysts-journal
  • Buffett's Alpha (2018)
    Andrea Frazzini, David Kabiller, Lasse H. Pedersen, Financial Analysts Journal, vol. 74 no. 4 · academic
    Source for the long-run Berkshire Hathaway Sharpe figure used in lesson 5 (around 0.76 since 1976).
    https://www.tandfonline.com/doi/abs/10.2469/faj.v74.n4.3
  • When Genius Failed: The Rise and Fall of Long-Term Capital Management
    Roger Lowenstein, Random House 2000 · book
    Narrative source for the LTCM 1996 reported Sharpe and the 1998 collapse used in lesson 5.
  • Investments
    Zvi Bodie, Alex Kane, Alan J. Marcus, McGraw-Hill · book
    Standard textbook. Source for the standard deviation recipe, the square-root-of-252 annualization, and the Sharpe ratio definitions across lessons 2 to 4.