Actuarial Notes

SOA Exam P Sample Question 360

Study guide: Exam P-1

An insurance company surcharges a driver, based on the year of the driver's last accident, using the following table with the current year denoted by t:

Year of Last Accident t-1 t-2 t-3 t-4
Surcharge 20% 15% 10% 5%

The probability that a driver has at least one accident in any given year is 0.10, independent of the number of accidents in all other years.

Calculate the expected surcharge in year t for a driver who has been driving since the beginning of year t-4.

  • A) 4.5\%
  • B) 5.0\%
  • C) 8.6\%
  • D) 10.0\%
  • E) 19.4\%

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