medium · Quantitative Finance

A quantitative trading signal correctly identifies outperforming stocks 80% of the time, but also generates a false positive for non-outperformers 30% of the time.

If the base rate of outperformance in the universe is 20%, what is the probability that a stock genuinely outperforms given that the signal has fired?

  1. 40.0%
  2. 80.0%
  3. 50.0%
  4. 20.0%

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