Actuarial Notes

CAS Exam 5 Spring 2016, Question 9

Study guide: Exam 5

The following are considerations for pricing a large deductible policy:

  • Deductible = $750,000 per occurrence.
  • Expected total ground-up losses = $1,500,000.
  • ALAE = 12% of total ground-up losses.
  • Fixed expenses = $75,000.
  • Variable expenses = 15% of premium.
  • Underwriting profit provision = 3%.
  • Risk margin = 10% of excess losses.
  • Cost of processing losses below the deductible = 5% of losses below the deductible.
  • Credit risk = 1.5% of expected deductible payments.
  • Deductible applies to losses only and does not reduce ALAE.
  • Loss elimination ratios (LER) and excess ratios are:
Loss Limit ($000) LER Excess Ratio
$500 85% 15%
$750 90% 10%
$1,000 95% 5%

Calculate the large deductible premium.

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