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A limit order that only partly fills

Asked at Flow Traders

The offer side of a stock looks like this:

SidePriceSize
Ask10.0010.00300300
Ask10.0210.02400400
Ask10.0510.05500500

You send a buy limit order at 10.0210.02 for 1,0001{,}000 shares.

How many shares fill, at what average price, and what happens to the remainder?

Show a hint

A marketable limit order takes every offer at or below its limit, then stops. It will not pay 10.0510.05.

Your answer

This one is open-ended. Work it through, then check your reasoning against the full solution.

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