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ABy Admin
Jun 02'22

Exercise

An insurer has classified a pool of policies into two classes: class A and class B. The probability of observing more than one claim during a single coverage period is zero for all policies and claim size is constant for all policies:

Class Number of Policyholders Probability of Claim Claim Size
A 400 0.05 100
B 500 0.04 250

Using the normal approximation for aggregate losses, the insurer sets insurance rates at the lowest level that guarantees a profit 95% of the time.

Determine the rate for class B policyholders assuming that the expected profit % is the same for all policies.

  • $12.16
  • $12.77
  • $13.31
  • $26.09
  • $30.65
ABy Admin
Jun 02'22

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