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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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An insurance company has made predictions regarding the renewal rates of various policyholders for the upcoming year. Specifically:

  • 40% of policyholders who have only an auto policy are expected to renew it.
  • 70% of policyholders who have only a homeowner policy are expected to renew it.
  • 80% of policyholders who have both an auto and a homeowner policy are expected to renew at least one of them.

Additionally, the company has provided the following information about the distribution of their policyholders:

  • 70% of policyholders have an auto policy.
  • 50% of policyholders have a homeowner policy.
  • 20% of policyholders have both an auto and a homeowner policy.

Using these estimates, calculate the percentage of policyholders that will renew at least one policy next year.

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