Actuarial Notes

CAS Exam MAS-I Spring 2018, Question 39

Study guide: Exam MAS-I

A GLM was used to estimate the expected losses per customer across gender and territory. The following information is provided:

  • The link function selected is log
  • Q is the base level for Territory
  • Male is the base level for Gender
  • Interaction terms are included in the model

The GLM produced the following predicted values for expected loss per customer:

Gender \ Territory Q R
Male 148 545
Female 446 4,024

Calculate the estimated beta for the interaction of Territory R and Female.

  • A) Less than 0.85
  • B) At least 0.85, but less than 0.95
  • C) At least 0.95, but less than 1.05
  • D) At least 1.05, but less than 1.15
  • E) At least 1.15

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