Abstract
We model a public limit order book (PLB) with rational investors choosing to supply or demand liquidity. Following a reduction in the tick size the effects on PLB’s market quality depend on the liquidity of the stocks. Spread improves for tick-constrained stocks and deteriorates for unconstrained stocks; inside depth decreases in particular for constrained stocks, and volume increases for unconstrained stocks. The model also shows how results change when competition from a crossing network generates order flow migration. We find empirical support for these predictions by exploiting the 2014 reduction of tick size at the Tokyo Stock Exchange.
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