We Don’t Quite Know What We are Talking About When We Talk About Volatility

ArXiv ID: ssrn-970480 “View on arXiv”

Authors: Unknown

Abstract

Finance professionals, who are regularly exposed to notions of volatility, seem to confuse mean absolute deviation with standard deviation, causing an underesti

Keywords: Volatility, Risk Management, Standard Deviation, Statistical Analysis

Complexity vs Empirical Score

• Math Complexity: 3.0/10
• Empirical Rigor: 8.0/10
• Quadrant: Street Traders
• Why: The paper relies on a conceptual mathematical argument about Jensen’s inequality and the relationship between standard deviation and mean absolute deviation, but the core math is relatively simple. Empirical rigor is high due to the conducted survey (87 participants across three professional groups) with presented statistical results (frequency histograms, error ratios) and clear data collection methodology.

  flowchart TD
    A["Research Question: Do finance professionals<br>understand volatility?"] --> B["Key Methodology: Survey<br>and statistical analysis"]
    B --> C["Data/Inputs: Responses from<br>finance professionals"]
    C --> D["Computation: Calculate and compare<br>Mean Absolute Deviation vs Standard Deviation"]
    D --> E["Key Findings/Outcomes:<br>Confusion between MAD and SD<br>Underestimation of volatility"]