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IAI Actuarial Core Principles · Economic Modelling · Run-off triangles

In an average cost per claim projection using incremental data, the average cost per claim in development year 1 is 20% higher than in development year 0 for every accident year, and the development year 0 average for 2023 is Rs 5,000. Ignoring inflation, the projected average cost per claim for accident year 2023 in development year 1 is:

The projected average is Rs 6,000. The development year 0 average of Rs 5,000 is multiplied by 1.20 to reflect the 20% higher average cost in development year 1, with no inflation adjustment required.

  1. ARs 4,000
  2. BRs 5,200
  3. CRs 5,500
  4. DRs 6,000Correct
  5. Rs 6,250

Explanation

Apply the 20% increase: 5,000 x 1.20 = Rs 6,000. Rs 6,250 arises from dividing by 0.8 mistakenly, and Rs 5,200 from adding 200 rather than 20%.

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