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The Amihud illiquidity ratio is defined as the average of |r_t|/Vol_t (absolute return over dollar volume). A researcher finds that for a given stock, Amihud illiquidity rises sharply during a period when the bid-ask spread, depth, and price-impact coefficient are all UNCHANGED, while average daily dollar volume falls by half and absolute returns are stable.

What does this episode reveal about interpreting Amihud as a liquidity measure?

  1. Amihud conflates price impact with volume level, so a drop in volume mechanically raises the ratio even when the true cost of trading a fixed quantity is unchanged
  2. Amihud correctly flags worse liquidity here, since falling volume always signals wider spreads and higher impact even when both are separately measured as flat
  3. The episode shows Amihud is robust to volume shifts, since a stable impact coefficient guarantees by construction that the ratio cannot move when volume changes
  4. Amihud measures the realized spread rather than effective spread, so with depth and spread both unchanged the rise must reflect a data error, not liquidity

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