Actuarial Notes

Exam MAS-II Practice Question 21

Study guide: Exam MAS-II

A pure premium model is scored on holdout data. Aggregated by predicted loss cost and sorted from lowest to highest prediction, the data are:

Predicted loss cost 40 60 80 100 150
Exposure 2.0 3.0 2.0 2.0 1.0
Loss 40 120 140 200 500

The model's segmentation power is measured by the Gini index from its Lorenz curve, with the area under the curve calculated by the trapezoidal method.

Calculate the Gini index.

  • A) 0.235
  • B) 0.265
  • C) 0.470
  • D) 0.530
  • E) 0.765

Answer this question and see the worked solution

Concepts tested

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