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Risk & Portfolio
Volatility & Sharpe
Measuring bumpiness
~25 min · 6 lessons
What you'll learn
- âCompute volatility
- âCompute Sharpe ratio
Lessons
- ðĒTwo Paths to 8 PercentSame destination, very different rideStart â
- The Standard Wobble MetricFinish the previous lesson to unlock
- Reward Per Unit of WobbleFinish the previous lesson to unlock
- Cousins of the SharpeFinish the previous lesson to unlock
- Sharpes in the WildFinish the previous lesson to unlock
- Boss Round: Read the Number CriticallyFinish 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 · academicThe 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 · academicSharpe'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 · academicOriginal Sortino ratio definition. Source for lesson 4.
- The Statistics of Sharpe Ratios (2002)Andrew W. Lo, Financial Analysts Journal, July/August 2002 · academicStatistical 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 · academicSource 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 ManagementRoger Lowenstein, Random House 2000 · bookNarrative source for the LTCM 1996 reported Sharpe and the 1998 collapse used in lesson 5.
- InvestmentsZvi Bodie, Alex Kane, Alan J. Marcus, McGraw-Hill · bookStandard textbook. Source for the standard deviation recipe, the square-root-of-252 annualization, and the Sharpe ratio definitions across lessons 2 to 4.