Actuarial Notes

Exam MAS-I Practice Question 106

Study guide: Exam MAS-I

A homeowners claim-frequency model is a Poisson GLM with a log link. Its predictors are:

  • aoi, the amount of insurance in thousands of dollars, entered through its natural logarithm;
  • construction, categorical with levels Frame (the base) and Masonry;
  • prot_class, the protection class 1 to 10, entered as a single numeric term;
  • an interaction between \ln(\text{aoi}) and construction.
Parameter \hat\beta
Intercept -5.2000
\ln(\text{aoi}) 0.3000
Construction: Masonry -0.2000
Protection class 0.0500
\ln(\text{aoi}) \times Masonry 0.1000

Calculate the expected claim frequency per house-year for a masonry home insured for $300,000 in protection class 6.

  • A) Less than 0.035
  • B) At least 0.035, but less than 0.050
  • C) At least 0.050, but less than 0.065
  • D) At least 0.065, but less than 0.080
  • E) At least 0.080

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