Actuarial Notes

CAS Exam 5 Spring 2017, Question 11

Study guide: Exam 5

Given the following information:

Size of Loss ($000) Loss Distribution Average Reported Loss ($000)
X <= 200 20% 100
200 < X <= 400 20% 300
400 < X <= 600 20% 500
600 < X <= 800 20% 700
800 < X <= 1,000 20% 900
Total 100% 500
  • Expected claim frequency = 1%.
  • Expected losses are uniformly distributed.
  • A home is valued at $1,000,000.

Part a (1 point)

Calculate the rate per $1,000 of coverage for the home at the following amounts of insurance:

i. $1,000,000 ii. $600,000

Part b (0.5 points)

Briefly discuss a problem associated with underinsurance from the following perspectives:

i. Insured ii. Insurer

Part c (1 point)

The home is insured for $700,000 with no deductible and a coinsurance requirement of 80%. Calculate the indemnity payments and coinsurance penalties for the following losses:

i. $600,000 ii. $850,000

Answer this question and see the worked solution

Concepts tested

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