hard · Market Microstructure

A liquidity provider (LP) is deciding whether to join a queue at the Best Bid ($25.05) where 5,000 shares are already resting. The LP wants to buy 5,000 shares.

If the typical aggressor size is 4,000 shares, which matching engine provides a higher probability of an immediate partial fill for the LP's new order?

  1. The FIFO engine, because it rewards the LP for being a significant provider of liquidity at that price.
  2. The FIFO engine, provided the LP's order is larger than the orders already in the queue.
  3. Both engines provide an equal 50% probability of fill for the LP.
  4. The Pro-Rata engine, because the LP will receive a portion of every incoming sell order immediately.

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