Actuarial Notes

Exam DISC-DA Practice Question 224

Study guide: Exam DISC-DA

A classification tree for renewal lapse, fitted to 700 policies, has three leaves:

  • Rate increase of 10% or less: 500 policies, 50 lapsed.
  • Rate increase over 10% and tenure under 3 years: 40 policies, 26 lapsed.
  • Rate increase over 10% and tenure of 3 years or more: 160 policies, 48 lapsed.

A policy facing a 15% rate increase has a tenure of 2 years. What class does the tree predict, and what is its estimated probability of lapse?

  • A) Renew, with a lapse probability of 0.30
  • B) Renew, with a lapse probability of 0.18
  • C) Lapse, with a lapse probability of 0.65
  • D) Lapse, with a lapse probability of 0.37

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