Actuarial & Insurance
Basic

Claim Frequency

Number of claims per unit of exposure.

Formula

f=NEf = \frac{N}{E}

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Variables

fFrequency
NNumber of claims
EExposure (policy-years)

Example

500 claims over 10,000 policy-years: f = 0.05

How it works

Claim frequency measures how often claims occur relative to the amount of exposure being insured. It works by dividing the count of claims by the total exposure, so you get an average claim rate per policy-year (or whatever exposure unit is being used). This makes it easier to compare portfolios of different sizes or time periods on a like-for-like basis.

When to use it

Use this when analysing insurance experience, pricing premiums, or comparing risk across groups with different amounts of exposure. It is especially useful in actuarial work for estimating how often claims are expected to happen in the future.

Worked example, step by step

An insurer records 84 claims over 2,400 policy-years of exposure. Use the formula: f = N / E Substitute the values: f = 84 / 2400 Calculate: f = 0.035 So the claim frequency is 0.035 claims per policy-year, or 3.5 claims per 100 policy-years.

Common mistakes to avoid

  • Using the number of policies instead of exposure time when policies have different durations
  • Confusing claim frequency with claim severity, which measures the average cost per claim
  • Forgetting to keep the exposure unit consistent, such as mixing policy-months and policy-years

Did You Know?

Splitting risk into frequency and severity lets actuaries model 'how often' and 'how big' separately.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026