Questions / Quant trading, Numerical judgment

A fill-rate ranking that flips

Challenge, about 10 minutes. Question T166.

What is strategy A’s overall observed fill rate, in percent?

Answer it in the app It's free. You get hints, a second try if you miss, and a follow-up question.

Show the answer and worked solution

Answer: 82.73%

  1. A filled 90 + 1 = 91 orders.
  2. Out of 100 + 10 = 110.
  3. 91/110 ≈ 82.7%, against B’s 50%.

Interview shortcut. Pooled: (90 + 1)/(100 + 10).

Takeaway. Overall rates depend on the order mix.

In the app this has a follow-up where one thing about the setup changes. Try the follow-up.

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