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Why randomize? Execution algo and slippage

Historical data show that orders routed through your new execution algo had lower slippage than orders that were not. But traders decided case by case whether to use the algo. Leadership wants to mandate the algo everywhere based on this gap.

Explain why the historical gap cannot establish that the algo reduces slippage, and design a test that can. Why is randomization essential?

Your answer

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

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