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CAS Exam 8 practice questions

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Question 1Advanced Ratemaking

In a workers compensation experience rating plan, the experience modification is computed as (A + B) / (E + F). Which pair of terms represents the expected losses and expected primary losses, respectively?

  1. B and F
  2. A and E
  3. E and F Correct answer.
  4. A and B

Explanation

The standard experience rating formula places actual losses and actual primary losses in the numerator (A and B) and the corresponding expected values in the denominator (E and F). The denominator therefore reflects expected excess-free losses and expected primary losses, so E and F answer the question.

Question 2Advanced Ratemaking

An insurer uses a loss ratio method to set rates for a new territory. Which adjustment is required so that the indicated rate change reflects only loss experience and not differences in expense provisions between the experience period and the proposed period?

  1. Apply the credibility complement
  2. Divide by the trended loss ratio
  3. Multiply by the current permissible loss ratio
  4. Apply a premium-based expense adjustment factor Correct answer.

Explanation

When experience-period premiums were developed under a different expense structure than the proposed rates, a premium-based expense adjustment factor restates historical premiums to the new expense level. Without this step the loss ratio comparison mixes loss effects with expense changes.

Question 3Advanced Ratemaking

A classification ratemaking plan uses increased limits factors. Which statement best describes the role of the basic limit in that structure?

  1. It is the maximum limit available under the plan
  2. It is the limit used only for excess of loss reinsurance pricing
  3. It is the limit at which the increased limits factor equals the excess ratio
  4. It is the reference limit whose losses are the denominator of each increased limits factor Correct answer.

Explanation

Increased limits factors express the expected loss cost at a higher limit relative to the expected loss cost at the basic limit. The basic limit is therefore the denominator reference, and its factor is 1.00 by construction.

Question 4Advanced Ratemaking

An actuary is pricing an excess of loss layer and must select a loss cost for the layer. Which approach correctly uses ground-up expected losses?

  1. Divide the ground-up expected loss by the increased limits factor
  2. Multiply the ground-up expected loss by the layer ratio
  3. Subtract the expected losses below the attachment from the expected losses below the exhaustion point Correct answer.
  4. Add the expected losses below attachment to the expected losses above exhaustion

Explanation

A layer loss cost equals the difference between expected losses limited to the exhaustion point and expected losses limited to the attachment point. This difference isolates losses falling inside the layer.

Question 5Advanced Ratemaking

Under a retrospective rating plan, which component typically decreases as incurred losses increase, holding the standard premium fixed?

  1. The converted loss
  2. The loss conversion factor applied to losses
  3. The excess loss factor
  4. The basic premium Correct answer.

Explanation

The basic premium in a retro plan is a percentage of standard premium that covers expenses and is reduced by an insurance charge reflecting the expected excess losses above the loss limit. Because that charge grows with loss potential, the net basic premium component is smaller when loss experience is heavier relative to the limit structure.

Question 6Advanced Ratemaking

Which statement about the credibility of a class experience indication is most consistent with limited fluctuation credibility?

  1. Credibility increases as the variance of the underlying loss distribution increases
  2. Credibility is independent of the number of exposures in the experience period
  3. Full credibility requires the observed experience to exceed a standard based on expected claim frequency or loss size Correct answer.
  4. Credibility is assigned only when the class has at least five years of data

Explanation

Limited fluctuation credibility sets a full credibility standard derived from the expected number of claims or the expected loss volume needed for a stated precision. Larger variance or fewer exposures raises the standard, making full credibility harder to reach.

Question 7Advanced Ratemaking

A territory's indicated loss cost is developed from statewide loss costs using a territorial relativities approach. Which data element is essential to convert statewide loss costs into territory-specific loss costs?

  1. The policyholder dividend ratio
  2. The statewide expense ratio
  3. The reinsurance attachment point
  4. The territorial loss cost relativity Correct answer.

Explanation

Territorial relativities express each territory's expected loss level relative to the statewide average. Multiplying the statewide loss cost by the relativity yields the territory-specific loss cost.

Question 8Advanced Ratemaking

An actuary must estimate the effect of a deductible change on expected losses. Which quantity is most directly required to compute the loss elimination ratio for the deductible?

  1. The increased limits factor at the deductible
  2. The expected losses limited to the deductible amount Correct answer.
  3. The expected losses in excess of the deductible
  4. The excess loss factor at the deductible

Explanation

The loss elimination ratio equals expected losses eliminated by the deductible divided by total expected unlimited losses. The eliminated portion is the expected losses limited to the deductible amount.

Question 9Advanced Ratemaking

In aworkers compensation ratemaking context, which statement about the expected loss rate and the payroll exposure base is correct?

  1. The expected loss rate is expressed per claim and ignores payroll
  2. The expected loss rate equals the manual rate divided by the loss conversion factor
  3. The expected loss rate is a pure frequency measure independent of severity
  4. The expected loss rate is expressed per unit of payroll and reflects both frequency and severity Correct answer.

Explanation

The expected loss rate for a classification combines expected claim frequency and severity and is expressed per unit of payroll exposure. Multiplying by payroll produces expected losses for the insured.

Question 10Advanced Ratemaking

A rate filing shows an overall indicated change of +8.0% based on losses, but the insurer wants to phase the change in over two years. Which technique is most appropriate?

  1. Apply a phase-in or transition factor to the indicated change Correct answer.
  2. Apply a trend factor to the indicated change
  3. Apply an increased limits factor to the indicated change
  4. Apply a credibility complement to the indicated change

Explanation

A phase-in factor scales the full indicated change to the portion the insurer intends to take in the current filing. This spreads the impact across periods while preserving the direction of the indication.

Question 11Advanced Ratemaking

Which statement best explains why an insurance charge is included in retrospective rating?

  1. It is a tax surcharge applied to standard premium
  2. It compensates the insurer for the risk that losses exceed the loss limit and are not fully recovered Correct answer.
  3. It guarantees the insured a refund when losses are low
  4. It replaces the loss conversion factor when losses are small

Explanation

The insurance charge funds the expected cost of losses above the retro loss limit that the insurer absorbs. It is a risk-sharing mechanism, not a tax or refund guarantee.

Question 12Advanced Ratemaking

An actuary observes that a classification's pure premium is volatile because of small exposure volume. Which adjustment is most appropriate to produce a stable estimate?

  1. Apply credibility weighting between the class experience and the class rate Correct answer.
  2. Apply an increased limits factor to the class experience
  3. Apply a trend factor to the class experience
  4. Apply a loss conversion factor to the class experience

Explanation

Credibility weighting blends the class's own experience with the expected or class rate in proportion to the credibility of the experience. This reduces the impact of random volatility from small samples.

Question 13Advanced Ratemaking

Which statement about the use of a loss ratio method versus a pure premium method is most accurate?

  1. The pure premium method requires no exposure data
  2. The loss ratio method ignores losses entirely
  3. The loss ratio method requires a current rate level and produces an indicated change from existing rates Correct answer.
  4. The pure premium method cannot incorporate expense provisions

Explanation

The loss ratio method compares developed losses to developed premiums at current rate level and indicates a change to existing rates. The pure premium method instead builds a rate from loss costs plus expenses and does not require a current rate level in the same way.

Question 14Advanced Ratemaking

A filing uses an excess loss factor to price an excess of loss treaty. Which statement describes the excess loss factor's role?

  1. It converts limited expected losses into an excess basis for a given attachment Correct answer.
  2. It converts payroll into exposure units
  3. It measures the deductible elimination ratio
  4. It determines the credibility of the layer

Explanation

An excess loss factor expresses the expected losses in a layer relative to the expected limited losses, allowing limited loss experience to be restated on an excess basis. It is a layer-specific conversion, not a payroll or credibility measure.

Question 15Advanced Ratemaking

An actuary is asked to explain why a classification's manual rate differs from its pure premium. Which explanation is most accurate?

  1. The manual rate includes expense loads and profit provisions in addition to expected losses Correct answer.
  2. The manual rate equals the pure premium by definition
  3. The manual rate is set solely by the loss elimination ratio
  4. The manual rate excludes all expenses

Explanation

The manual rate is built from the pure premium by adding provisions for expenses, profit, and contingencies and dividing by the permissible loss ratio. It therefore exceeds the pure premium when expenses are positive.

Question 16Advanced Ratemaking

A workers compensation experience modification uses primary losses with a credibility value that depends on expected excess losses. Which statement about the weighting of primary losses is correct?

  1. Primary losses receive weight that increases as expected excess losses increase Correct answer.
  2. Primary losses receive weight that decreases as expected excess losses increase
  3. Primary losses receive no weight in the modification
  4. Primary losses are weighted equally to excess losses regardless of size

Explanation

The weighting of primary losses reflects how much of the risk of large losses the insured controls. When expected excess losses are larger, primary losses receive more weight because large-loss potential dominates and small losses are less informative.

Question 17Advanced Ratemaking

Which statement about increased limits factors for a liability line is most consistent with standard ratemaking practice?

  1. They decrease as the limit rises
  2. They typically increase at a decreasing rate as the limit rises Correct answer.
  3. They typically increase at an increasing rate as the limit rises
  4. They are constant across all limits

Explanation

Because losses are increasingly concentrated at lower amounts, the marginal cost of raising the limit declines as the limit grows. Increased limits factors therefore rise with the limit but at a decreasing rate.

Question 18Advanced Ratemaking

In a retrospective rating plan, the maximum premium is determined by which combination?

  1. The incurred losses times the excess loss factor
  2. The standard premium times the loss conversion factor
  3. The basic premium plus the loss conversion factor times the loss limit, adjusted by the tax multiplier Correct answer.
  4. The basic premium alone

Explanation

The maximum premium caps the insured's retro premium at the basic premium plus converted losses at the loss limit, all multiplied by the tax multiplier. This bounds the insured's cost while preserving the incentive to control losses.

Question 19Advanced Ratemaking

Which statement about the complementary loss ratio in experience rating is correct?

  1. It reflects expected excess losses relative to expected total losses Correct answer.
  2. It is used only for deductible pricing
  3. It equals the ratio of actual to expected losses
  4. It measures the credibility of the modification

Explanation

The complementary loss ratio captures the portion of expected losses above the primary level, relative to total expected losses. It supports the weighting of primary losses in the modification formula.

Question 20Advanced Ratemaking

A regulator asks why an insurer applies a trend factor to losses but not to premiums in a rate indication. Which explanation is most accurate?

  1. Premiums are typically restated to current rate level rather than trended Correct answer.
  2. Premiums cannot be restated for rate level changes
  3. Trend factors apply only to expenses
  4. Premiums are trended but losses are not

Explanation

Historical premiums are adjusted to current rate level using parallelogram or on-level methods so they reflect today's rates. Losses, by contrast, are projected forward with trend factors to reflect expected future costs.

Question 21Advanced Ratemaking

Which statement about the loss elimination ratio for a deductible is correct when the deductible increases?

  1. The loss elimination ratio becomes negative
  2. The loss elimination ratio remains constant
  3. The loss elimination ratio decreases because fewer losses are eliminated
  4. The loss elimination ratio increases because more expected losses fall below the deductible Correct answer.

Explanation

A larger deductible eliminates a greater share of expected losses, so the loss elimination ratio rises. The ratio is bounded between zero and one and cannot become negative.

Question 22Advanced Ratemaking

An actuary must allocate expenses between loss costs and rates. Which treatment is most consistent with standard ratemaking?

  1. All expenses are applied as a percentage of losses
  2. Variable expenses are applied as a percentage of premium and fixed expenses as a per-policy charge Correct answer.
  3. All expenses are applied as a flat per-policy charge
  4. Expenses are excluded from the rate entirely

Explanation

Expense provisions are typically split into premium-related variable expenses and fixed per-policy expenses. Treating all expenses as proportional to losses or as flat charges misstates their behavior.

Question 23Advanced Ratemaking

Which statement about the effect of a change in the loss limit on the insurance charge in a retro plan is correct?

  1. A higher loss limit generally increases the insurance charge
  2. The insurance charge equals the loss conversion factor
  3. A higher loss limit generally reduces the insurance charge because less loss falls above the limit Correct answer.
  4. The loss limit does not affect the insurance charge

Explanation

The insurance charge funds expected losses above the retro loss limit. Raising the limit shifts more loss below the limit and reduces the expected excess absorbed by the insurer, lowering the charge.

Question 24Advanced Ratemaking

Which statement about the use of classification relativities is most accurate?

  1. They express each class's expected loss cost relative to a reference class Correct answer.
  2. They express each territory's expected loss cost relative to a reference territory
  3. They express each deductible's expected loss cost relative to no deductible
  4. They express each limit's expected loss cost relative to a basic limit

Explanation

Classification relativities compare expected loss costs across occupational or industry classes, with one class serving as the reference. Territorial, limit, and deductible relativities address different dimensions of rating.

Question 25Advanced Ratemaking

A rate indication produces a 12% increase, but the actuary believes the loss data are thin and the indication is unreliable. Which adjustment best reflects that concern?

  1. Remove the trend factor from the indication
  2. Apply an increased limits factor to the indication
  3. Apply a credibility weighting toward the prior indication Correct answer.
  4. Increase the credibility assigned to the class experience

Explanation

When experience is thin, credibility weighting blends the new indication with a prior or expected value in proportion to credibility. This tempers the unreliable indication rather than discarding useful components.

Question 26Advanced Ratemaking

An actuary is building a workers compensation classification pure premium. The classification has reported losses of $2,400,000 and payroll of $300,000,000. The expected loss ratio is 0.65 and the permissible loss ratio is 0.70. Which adjustment is required to convert the observed pure premium into an indicated manual pure premium using the loss ratio method?

  1. Multiply the observed pure premium by the ratio of the permissible loss ratio to the expected loss ratio.
  2. Add the difference between the permissible and expected loss ratios to the observed pure premium.
  3. Divide the observed pure premium by the expected loss ratio only, ignoring the permissible loss ratio.
  4. Multiply the observed pure premium by the ratio of the expected loss ratio to the permissible loss ratio. Correct answer.

Explanation

Under the loss ratio method, the indicated change equals the ratio of the actual loss ratio to the expected loss ratio, adjusted for the permissible loss ratio. The observed pure premium is multiplied by the expected loss ratio divided by the permissible loss ratio to reflect the target loss ratio. This produces an indicated pure premium consistent with the desired loss ratio.

Question 27Advanced Ratemaking

An actuary is selecting a trend factor for a general liability line. Loss costs have been trending at 4% per year, but the actuary believes recent data are more credible than older data. Which trend method appropriately reflects this belief?

  1. A least squares regression on all available years with equal weight.
  2. An exponential trend fit to the most recent three years only.
  3. A weighted least squares trend where weights increase with recency. Correct answer.
  4. A simple average of year-over-year changes over the full experience period.

Explanation

A weighted least squares trend assigns greater weight to more recent observations, which reflects the actuary's belief that recent data are more credible. Equal-weight methods ignore recency, and using only three years discards information. Weighted least squares balances credibility and stability.

Question 28Advanced Ratemaking

An actuary is computing an increased limits factor for a liability coverage. The basic limit is $100,000 and the increased limit is $500,000. Ground-up loss costs show that losses excess of $100,000 represent 18% of total losses and losses excess of $500,000 represent 6% of total losses. Which increased limits factor applies?

  1. 0.94
  2. 1.18
  3. 1.06
  4. 1.13 Correct answer.

Explanation

The increased limits factor equals the ratio of limited expected losses at the increased limit to those at the basic limit. Limited losses at $100,000 equal 82% of total, and at $500,000 equal 94% of total. The ratio is 0.94 divided by 0.82, approximately 1.146, closest to 1.13.

Question 29Advanced Ratemaking

An actuary is reviewing a retrospective rating plan. The plan uses a loss conversion factor of 1.10 and a tax multiplier of 1.05. The basic premium is $50,000. If incurred losses including loss adjustment are $200,000, which statement describes the standard premium component of the retro premium?

  1. The standard premium equals the basic premium plus the converted losses multiplied by the tax multiplier. Correct answer.
  2. The standard premium equals the converted losses multiplied by the tax multiplier, excluding the basic premium.
  3. The standard premium equals the basic premium divided by the tax multiplier.
  4. The standard premium equals the basic premium multiplied by the tax multiplier.

Explanation

The retrospective premium is the sum of the basic premium and converted losses, all multiplied by the tax multiplier. Converted losses equal losses times the loss conversion factor. Therefore the standard premium reflects both the basic premium and converted losses adjusted by the tax multiplier.

Question 30Advanced Ratemaking

An actuary is calculating an experience modification for a large workers compensation risk. The expected excess ratio is 0.25 and the actual excess ratio is 0.30. Which statement about the weighting value in the experience modification formula is most accurate?

  1. The weighting value decreases as expected losses increase, giving less credibility to actual experience.
  2. The weighting value increases as expected losses increase, giving more credibility to actual experience. Correct answer.
  3. The weighting value depends only on the excess ratio, not on expected losses.
  4. The weighting value is constant regardless of expected losses.

Explanation

In workers compensation experience rating, the weighting value increases with expected losses, reflecting greater credibility for larger risks. Larger risks therefore have experience modifications that rely more heavily on actual experience. The excess ratio influences the split between primary and excess losses but not the credibility trend.

Question 31Advanced Ratemaking

An actuary is evaluating a deductible change from $500 to $1,000 on a property line. The loss elimination ratio at $500 is 0.20 and at $1,000 is 0.32. Which statement about the effect of the deductible change on expected losses is most accurate?

  1. Expected losses decrease by 20% of ground-up losses.
  2. Expected losses increase by 12% of ground-up losses.
  3. Expected losses decrease by 32% of ground-up losses.
  4. Expected losses decrease by 12% of ground-up losses. Correct answer.

Explanation

The loss elimination ratio measures the percentage of ground-up losses eliminated by the deductible. The incremental effect of raising the deductible from $500 to $1,000 is the difference in loss elimination ratios, 0.32 minus 0.20, or 12%. Thus expected retained losses decline by 12% of ground-up losses.

Question 32Advanced Ratemaking

An actuary is reviewing a classification ratemaking study. The observed pure premium is $400 and the complement of credibility is 0.30. The complement pure premium is $500. Which credibility-weighted pure premium results?

  1. $420
  2. $470
  3. $450
  4. $430 Correct answer.

Explanation

The credibility-weighted pure premium equals Z times the observed pure premium plus (1 minus Z) times the complement. With Z equal to 0.70, the result is 0.70 times 400 plus 0.30 times 500, or 280 plus 150, which equals $430.

Question 33Advanced Ratemaking

An actuary is analyzing the effect of a policy limit on expected losses. As the policy limit increases, which statement about the limited expected value function is most accurate?

  1. The limited expected value decreases because more losses are capped.
  2. The limited expected value remains constant once the limit exceeds the maximum loss.
  3. The limited expected value increases at an increasing rate as the limit rises.
  4. The limited expected value increases at a decreasing rate as the limit rises. Correct answer.

Explanation

The limited expected value is the expected loss capped at the policy limit. It increases as the limit rises because more of the loss distribution is covered, but the rate of increase declines as fewer losses remain above the limit. This concave shape is fundamental to increased limits pricing.

Question 34Advanced Ratemaking

An actuary is evaluating whether to apply a catastrophe load to a homeowners rate. Historical data show that a single event in the experience period caused 40% of incurred losses. Which adjustment is most appropriate?

  1. Include the catastrophic event in full because it is part of the historical record.
  2. Average the catastrophic event with non-catastrophe losses to smooth volatility.
  3. Include the event but apply a credibility weight equal to its frequency.
  4. Exclude the catastrophic event and load the rate using a catastrophe model. Correct answer.

Explanation

Catastrophe losses are typically excluded from the experience period and replaced with a modeled catastrophe load because a single event distorts the historical average. The model provides a more stable estimate of expected catastrophe costs. Including the event in full would overstate the rate.

Question 35Advanced Ratemaking

An actuary is reviewing expense provisions in a rate filing. Acquisition expenses are 12% of premium, general expenses are 8% of premium, and premium taxes are 2.5% of premium. If the permissible loss ratio is computed, which value applies?

  1. 0.700
  2. 0.800
  3. 0.725
  4. 0.775 Correct answer.

Explanation

The permissible loss ratio equals 1 minus the sum of expense and tax ratios. The sum is 12% plus 8% plus 2.5%, or 22.5%. Therefore the permissible loss ratio is 0.775.

Question 36Advanced Ratemaking

An actuary is selecting a distribution to model large liability losses for excess pricing. The actuary wants a distribution whose tail decays polynomially rather than exponentially. Which distribution family is most appropriate?

  1. Weibull distribution
  2. Gamma distribution
  3. Pareto distribution Correct answer.
  4. Lognormal distribution

Explanation

The Pareto distribution has a power-law tail that decays polynomially, which makes it suitable for modeling large liability losses. The lognormal, gamma, and Weibull distributions have lighter tails that decay faster. Excess pricing often favors heavy-tailed distributions like the Pareto.

Question 37Advanced Ratemaking

An actuary is computing a territory relativity using loss costs. Territory A has a loss cost of $120 and the statewide average loss cost is $100. Territory B has a loss cost of $80. Which statement about the relativities is most accurate?

  1. Territory A has a relativity of 1.20 and Territory B has a relativity of 0.80. Correct answer.
  2. Territory A has a relativity of 0.83 and Territory B has a relativity of 1.25.
  3. Territory A has a relativity of 0.80 and Territory B has a relativity of 1.20.
  4. Territory A has a relativity of 1.20 and Territory B has a relativity of 1.25.

Explanation

A territory relativity equals the territory loss cost divided by the statewide average loss cost. Territory A yields 120 divided by 100, or 1.20. Territory B yields 80 divided by 100, or 0.80.

Question 38Advanced Ratemaking

An actuary is reviewing a workers compensation policy with a deductible. The insured elects a $250,000 per accident deductible. Which statement about the insurer's loss experience used for ratemaking is most accurate?

  1. Losses are recorded net of the deductible, and the deductible reimbursement is treated as a loss.
  2. Losses are recorded net of the deductible, and the deductible is treated as a reduction in premium.
  3. Losses are recorded gross of the deductible, and the deductible is treated as additional premium.
  4. Losses are recorded gross of the deductible, and the deductible reimbursement is treated as a loss adjustment expense. Correct answer.

Explanation

Under a large deductible plan, the insurer records losses gross of the deductible and treats expected deductible reimbursements as a loss adjustment expense. This preserves the integrity of the loss experience for ratemaking. The deductible is not treated as additional premium or as a simple premium reduction.

Question 39Advanced Ratemaking

An actuary is fitting a loss distribution using the method of moments. The actuary matches the first two moments of the empirical data. Which statement about this approach is most accurate?

  1. It maximizes the likelihood of the observed data given the parameters.
  2. It minimizes the sum of squared differences between empirical and fitted values.
  3. It matches the mean and variance of the fitted distribution to the empirical data. Correct answer.
  4. It matches the median and interquartile range of the fitted distribution to the empirical data.

Explanation

The method of moments estimates parameters by equating the distribution's moments to the empirical moments. Matching the first two moments means matching the mean and variance. Other methods, such as maximum likelihood and least squares, use different criteria.

Question 40Advanced Ratemaking

An actuary is evaluating a proposed change in the loss cost multiplier. The current multiplier is 1.50 and the indicated change is a decrease of 5%. Which new loss cost multiplier results?

  1. 1.450
  2. 1.525
  3. 1.425 Correct answer.
  4. 1.575

Explanation

A 5% decrease applied to the current multiplier of 1.50 yields 1.50 times 0.95, or 1.425. The loss cost multiplier is adjusted multiplicatively by the indicated change.

Question 41Advanced Ratemaking

An actuary is analyzing the sensitivity of a rate indication to the selected trend factor. The actuary wants to quantify how the indicated change varies as the trend assumption ranges from 2% to 6%. Which technique is most appropriate?

  1. A deterministic point estimate using the midpoint trend.
  2. A scenario or sensitivity analysis varying the trend assumption. Correct answer.
  3. A credibility weighting of the trend with the complement of credibility.
  4. A regression of trend on premium volume.

Explanation

Sensitivity analysis varies a key assumption across a range and observes the effect on the output, which is exactly what is needed to quantify how the indication responds to trend. A point estimate gives only one outcome, and credibility weighting addresses data volume rather than assumption sensitivity.

Question 42Advanced Ratemaking

An actuary is reviewing a classification plan for a commercial line. The actuary finds that two classifications have nearly identical loss experience but very different manual rates. Which explanation is most consistent with standard ratemaking practice?

  1. The classifications have identical expected losses and therefore must have identical rates.
  2. The classifications differ in their trend factors, which changes the indicated rate.
  3. The classifications differ in their credibility, which changes the indicated rate.
  4. The classifications differ in their expense provisions or loss cost multipliers. Correct answer.

Explanation

Manual rates reflect not only loss experience but also expense provisions and loss cost multipliers, which can differ across classifications or states. Nearly identical loss experience does not guarantee identical manual rates. Credibility and trend affect indications but are not the primary explanation for persistent rate differences.

Question 43Advanced Ratemaking

An actuary is computing the expected loss ratio for a new line of business with no historical data. The actuary uses a benchmark loss ratio of 0.60 from a similar line. Which statement about this approach is most accurate?

  1. The benchmark loss ratio can be used without adjustment because it comes from a similar line.
  2. The benchmark loss ratio should be discarded because no historical data exist.
  3. The benchmark loss ratio should be replaced by a pure premium estimate from the new line.
  4. The benchmark loss ratio should be adjusted for differences in coverage and expense structure. Correct answer.

Explanation

A benchmark loss ratio from a similar line provides a starting point but must be adjusted for differences in coverage, expense structure, and other characteristics. Using it unadjusted assumes the lines are identical, which is rarely true. Discarding it ignores useful information.

Question 44Advanced Ratemaking

An actuary is evaluating the impact of a change in the loss cost level on a rate filing. If loss costs increase by 8% and the current rate level is adequate, which indicated change in the average rate is most consistent with a pure premium method?

  1. An increase of 8% applied to the expense portion of the rate only.
  2. An increase of 8% applied to the loss portion of the rate only. Correct answer.
  3. An increase of 8% applied to the entire rate.
  4. No change, because the current rate level is adequate.

Explanation

Under the pure premium method, a change in loss costs affects only the loss portion of the rate, which is then divided by the permissible loss ratio. Applying the change to the entire rate would incorrectly scale expenses that are not driven by losses. The indicated rate change is the loss cost change times the loss ratio weight.

Question 45Advanced Ratemaking

An actuary is selecting a credibility procedure for a small classification. The actuary wants the procedure to produce full credibility when expected losses reach a specified threshold. Which credibility approach is most consistent with this objective?

  1. Complement of credibility based on a related classification.
  2. Limited fluctuation credibility with a standard based on expected loss counts. Correct answer.
  3. Greatest accuracy credibility with a weighting value derived from loss variance.
  4. Bayesian credibility with a prior distribution based on industry data.

Explanation

Limited fluctuation credibility sets a standard, often expressed as expected loss counts or exposure, at which the observed experience receives full credibility. This aligns with the actuary's objective of full credibility at a threshold. Bayesian and greatest accuracy approaches use different frameworks.

Question 46Advanced Ratemaking

An actuary is reviewing the effect of a reinsurance treaty on primary rates. The treaty covers losses excess of $1,000,000 per occurrence. Which statement about the primary insurer's net loss costs is most accurate?

  1. Net loss costs are unaffected by reinsurance because the primary insurer retains the risk.
  2. Net loss costs equal gross loss costs multiplied by the reinsurance retention ratio.
  3. Net loss costs equal gross loss costs minus the expected reinsurance recoveries per exposure. Correct answer.
  4. Net loss costs equal gross loss costs plus the reinsurance premium per exposure.

Explanation

Net loss costs reflect the primary insurer's retained losses after reinsurance recoveries. The expected reinsurance recoveries per exposure are subtracted from gross loss costs. Reinsurance premium is an expense, not an addition to net loss costs.

Question 47Advanced Ratemaking

An actuary is evaluating a proposed class ratemaking change that would split an existing classification into two. Which statement about the effect on classification relativities is most accurate?

  1. The split requires rebalancing relativities so that the overall average relativity remains 1.0. Correct answer.
  2. The split requires that each new classification have a relativity equal to the original classification.
  3. The split leaves existing relativities unchanged because the overall loss cost level is unaffected.
  4. The split eliminates the need for credibility weighting in the new classifications.

Explanation

When a classification is split, the new relativities must be balanced so that the exposure-weighted average remains 1.0, preserving the overall rate level. Leaving relativities unchanged would break the balance. The new classifications may have different experience and still require credibility weighting.

Question 48Advanced Ratemaking

An actuary is reviewing a rate filing where the indicated change is +10% but the actuary recommends a +6% change. Which statement best explains a valid reason for the recommendation?

  1. The actuary believes the indicated change should be applied in full to avoid regulatory scrutiny.
  2. The actuary believes the indicated change is overstated because of adverse loss development. Correct answer.
  3. The actuary believes the indicated change should be rounded to the nearest whole number.
  4. The actuary believes the indicated change is understated because of favorable trend.

Explanation

A recommended change below the indication can be justified if the actuary believes the indication is overstated, for example because of adverse loss development that is expected to reverse. Favorable trend would suggest the indication is understated, not overstated. Rounding and regulatory concerns are not actuarial justifications for departing from the indication.

Question 49Advanced Ratemaking

An actuary is computing a loss cost for a line with a high frequency of small losses and a low frequency of large losses. The actuary wants to reflect the effect of a $10,000 per occurrence limit. Which approach is most appropriate?

  1. Apply a limited expected value calculation to cap losses at $10,000. Correct answer.
  2. Apply a trend factor to the large losses only.
  3. Apply a deductible to remove the small losses.
  4. Apply a coinsurance factor to all losses.

Explanation

A policy limit caps losses at the limit, and the limited expected value calculation reflects the expected loss after the cap. Trend factors, deductibles, and coinsurance address different aspects of coverage and do not directly reflect the limit. The limited expected value is the standard tool for limit effects.

Question 50Advanced Ratemaking

An actuary is reviewing a workers compensation ratemaking study. The actuary notes that the expected loss rate is expressed per $100 of payroll. Which statement about this exposure base is most accurate?

  1. Payroll is used because it is fixed regardless of the risk's operations.
  2. Payroll is used because it is proportional to expected losses and is readily available. Correct answer.
  3. Payroll is used because it eliminates the need for classification relativities.
  4. Payroll is used because it is independent of wage inflation.

Explanation

Payroll is a commonly used exposure base in workers compensation because it correlates with expected losses and is readily available from employer records. It is not fixed, does not eliminate wage inflation effects, and does not remove the need for classification relativities.