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Combined Ratio

calender iconUpdated on June 28, 2024
insurance
personal finance

The combined ratio of two or more ratios is the ratio of the combined or total number of units to the combined or total number of units in the given ratios.

Formula for Combined Ratio:

Combined Ratio = a/b = (a1/b1) + (a2/b2) + ...

where:

  • a is the total number of units in the combined ratio.
  • b is the total number of units in the given ratios.
  • a1, a2, …, an are the numbers of units in each ratio.
  • b1, b2, …, bn are the numbers of units in each ratio.

Steps to Find Combined Ratio:

  1. Find the total number of units in the combined ratio (a).
  2. Add the ratios (a1/b1, a2/b2, …) together.
  3. Simplify the resulting fraction or decimal.

Example:

Find the combined ratio of the following ratios:

2/3, 3/4, 5/6

Solution:

  • Total number of units (a) = 2/3 + 3/4 + 5/6 = 11/12
  • Combined ratio = 2/3 = 11/12

Therefore, the combined ratio is 11/12.

FAQ's

What is the combined ratio?

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The combined ratio is a key financial metric used in the insurance industry to assess profitability. It measures the percentage of premiums paid out in claims and expenses. A combined ratio under 100% indicates that the company is making an underwriting profit, while a ratio over 100% shows a loss.

What is the formula for the combined ratio?

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How do you calculate the combined ratio?

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Can the combined ratio be over 100% and still be profitable?

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How does the combined ratio impact an insurance company?

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