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11 May, 08:41

Ratemakers at ABC Insurance Company calculated the pure premium to be $280 for a risk they were considering insuring. What is the gross rate for this risk, assuming a 30 percent expense ratioA) $364

B) $400

C) $430

D) $520

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Answers (1)
  1. 11 May, 09:44
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    B) $400

    Explanation:

    Premium = $280

    Expense Ratio = 30%

    As we know:

    Gross Rate = Premium rate + Expense rate

    100% = Premium rate + 30%

    Premium rate = 100% - 30%

    Premium rate = 70%

    Gross amount = (Premium / Premium rate) x 100%

    Gross amount = ($280 / 70%) x 100%

    Gross amount = 4 x 100%

    Gross amount = $400

    So, the correct answer is B) $400
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