Actuarial Notes

Exam MAS-II Practice Question 23

Study guide: Exam MAS-II

Monthly reported claim counts with no trend or seasonality are forecast by simple exponential smoothing with smoothing parameter \alpha = 0.2:

a_t = \alpha x_t + (1 - \alpha)\,a_{t-1}

The smoothed level after month 10 is a_{10} = 150. The counts for months 11 and 12 are x_{11} = 170 and x_{12} = 140.

The forecast for every future month equals the latest smoothed level.

Calculate the forecast of the claim count for month 15, made at the end of month 12.

  • A) 140.0
  • B) 145.2
  • C) 151.2
  • D) 154.0
  • E) 166.0

No current syllabus covers this question; it is kept for the record.

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