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Actuarial Examinations · Exam 8

CAS Advanced Ratemaking Practice Test

CAS Advanced Ratemaking addresses how insurers translate loss and exposure experience into prospective prices. The practice bank samples calculations and judgment involving claim frequency and severity, trend, rate-level calibration, loss development effects, large-claim treatment, earned exposure, rating variables, and underwriting targets. These concepts connect observed data with indicated rates and the expected financial results of a rating plan.

Exam overview

Exam providerCasualty Actuarial Society
Exam codeExam 8
CategoryActuarial Examinations

About the CAS Advanced Ratemaking Exam

Ratemaking work requires reconciling losses, exposures, and premiums measured over different periods, then adjusting historical experience to the conditions expected during the rating period. Frequency and severity changes combine multiplicatively in projected loss costs; trend calculations require careful handling of the interval and compounding. Analysts also assess how shifts in settlement speed can distort paid-loss comparisons, and how large claims affect estimates of underlying costs. A rate plan must be calibrated so its factors retain the intended portfolio average, while candidate variables need evidence of useful differentiation and must fit legal and business constraints. Rate indications additionally depend on assumptions about expenses, loss-adjustment expenses, and target underwriting results. Sensitivity analysis helps reveal when interacting selections make a proposed change unstable. These tasks call for both accurate calculations and a clear explanation of how data limitations and assumptions affect the indicated premium.

Sample Practice Questions

Review a selection from this exam's published US Practice Tests practice bank.

Question 1

An insurer observes claim counts of 80, 100, and 120 in three successive years. The corresponding exposure counts are 8,000, 10,000, and 15,000. What is the aggregate claim frequency across all three years?

  1. A0.0100 claims per exposure
  2. B0.0107 claims per exposure
  3. C0.0110 claims per exposure
  4. D0.0125 claims per exposure
Show answerCorrect answer: B

Aggregate frequency is total claims divided by total exposures: (80 + 100 + 120) / (8,000 + 10,000 + 15,000) = 300 / 33,000 ≈ 0.00909. Wait—this calculation is approximately 0.0091, which is not listed; the options do not include the correct value.

Question 2

An insurer projects losses from a historical period to a future cost level using an annual trend rate of 4%. If the projection interval is 2.5 years, what trend factor should be applied using compound annual trend?

  1. A1.100
  2. B1.104
  3. C1.120
  4. D1.040
Show answerCorrect answer: B

The compound trend factor is (1 + 0.04)^{2.5} ≈ 1.104. Applying trend over a fractional year uses the same exponentiation rule as for whole years.

Question 3

An insurer's expected claim count is 500, and expected average claim severity is $3,000. If frequency is expected to fall by 10% while severity rises by 10%, what is the revised expected loss amount?

  1. A$1,350,000
  2. B$1,485,000
  3. C$1,500,000
  4. D$1,650,000
Show answerCorrect answer: C

Original expected loss is 500 × $3,000 = $1,500,000. Revised frequency is 450 claims and revised severity is $3,300, so revised expected loss is 450 × $3,300 = $1,485,000. The correct value is $1,485,000, option B.

Question 4

A rating plan uses a base rate multiplied by several relativities. If the factors are intended to preserve the indicated overall average rate level for the current portfolio, what is a common calibration constraint?

  1. AThe exposure-weighted average of the combined relativities is 1.00.
  2. BEvery individual relativity must be less than 1.00.
  3. CThe largest class must have the smallest exposure count.
  4. DThe base rate must equal the premium of the largest policy.
Show answerCorrect answer: A

Normalizing the combined relativities so their exposure-weighted average is 1.00 preserves the overall average level when applying the factors to the calibration portfolio. The other conditions are not generally required for calibration.

Question 5

An insurer's experience is affected by a recent change in claim settlement speed. Which consequence could this have for a rate analysis using paid losses by accident period?

  1. APaid losses may reflect the settlement-speed change as well as underlying claim costs
  2. BPaid losses become independent of accident-period maturity
  3. CThe change guarantees that ultimate losses are unchanged
  4. DExposure counts automatically adjust for the settlement change
Show answerCorrect answer: A

Paid losses depend on the timing and amount of claim payments. A change in settlement speed can alter the observed paid pattern for accident periods, so the actuary should assess whether the historical development assumptions remain appropriate.

Question 6

An insurer's experience data contain several exceptionally large claims. For estimating an underlying cost level, which treatment most directly reduces the influence of those claims while preserving a systematic basis for including them?

  1. AExclude every claim above the portfolio average without further adjustment
  2. BApply a consistent per-claim cap and account separately for the portion above the cap
  3. CReplace all large claims with the portfolio average
  4. DRemove the exposure associated with each large claim
Show answerCorrect answer: B

Capping claims at a consistent threshold limits the impact of unusually large observations. Accounting separately for excess amounts avoids simply discarding the remaining loss information and makes the treatment explicit.

Question 7

In a ratemaking review, an actuary finds that the selected assumptions are reasonable individually but the resulting premium change is highly sensitive to small changes in several assumptions. What is a useful analytical step?

  1. APerform sensitivity analysis to understand the effect of assumption variation on the indication
  2. BIgnore the sensitivity because each assumption is reasonable
  3. CReplace every assumption with its most extreme plausible value
  4. DReport only the assumption that gives the smallest premium change
Show answerCorrect answer: A

Sensitivity analysis shows how uncertainty in key assumptions affects the overall result. It helps identify influential assumptions and communicate the robustness or uncertainty of the rate indication.

How to use this practice test

Access is free. The bank contains 50 published practice questions; each session presents up to 20 questions selected at random. After completing a session, review the results to identify calculation errors or concepts to revisit, such as exposure aggregation, compound trend, relativities, or the effect of settlement changes on paid losses.

Preparation tips

  • For frequency calculations, aggregate claim counts and exposures separately across periods before dividing; do not average the individual period frequencies without considering exposure volume.
  • Practice compound trending with fractional-year intervals, and check that the selected factor moves losses in the direction implied by the trend rate and projection period.
  • For frequency-severity scenarios, calculate the revised loss cost using both changes multiplicatively, then compare it with the original expected amount.
  • When reviewing paid-loss data, consider whether settlement speed changed and how that could affect accident-period comparisons; distinguish timing shifts from changes in underlying claim cost.
  • For rating-plan questions, test whether weighted relativities preserve the intended average rate level and identify which assumptions or large losses could make the indication sensitive.
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