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IAI Actuarial Core Principles · Risk Modelling and Survival Analysis · Concepts of survival models

Which feature of a select table with select period 3 years distinguishes the rates q[x], q[x-1]+1 and q[x-2]+2 for lives all aged x?

The rates differ because the three lives, though all aged x, have different durations since selection. Within the select period mortality depends on both attained age and duration, so the select effect varies between them until the ultimate rate applies.

  1. AThey are always identical
  2. BThey differ because duration since selection differs, reflecting different select effects at the same attained ageCorrect
  3. CThey differ only because the lives have different genders
  4. DThey are all equal to the ultimate rate q(x)
  5. They are undefined unless the select period is 1 year

Explanation

All three lives have attained age x but were selected at ages x, x-1 and x-2, so durations are 0, 1 and 2. Within the select period mortality depends on duration as well as age, so the rates generally differ.

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