Casualty Actuarial Society (CAS) Actuarial Certification — Questions and Answers

Question 1: In the CAS credentialing process, what does 'credit' refer to when a candidate is said to have 'exam credit'?

Credit hours counted toward a university degree
Formal recognition by CAS that the candidate has passed a specific exam (Correct answer)
A monetary credit toward future exam registration fees
Points accumulated toward continuing education requirements

Correct answer: Formal recognition by CAS that the candidate has passed a specific exam

Exam credit means CAS officially records that the candidate has met the requirement for that specific exam in their credentialing record.

Question 2: Which operational risk framework element requires insurers to maintain a 'risk and control self-assessment' (RCSA)?

Generally Accepted Accounting Principles (GAAP)
Enterprise risk management (ERM) frameworks such as COSO or Solvency II (Correct answer)
The CAS Statement of Principles on Property and Casualty Insurance Ratemaking
The NAIC Model Audit Rule for financial reporting

Correct answer: Enterprise risk management (ERM) frameworks such as COSO or Solvency II

ERM frameworks like COSO and Solvency II Pillar II require organizations to conduct RCSAs, where business units identify, assess, and document their operational risks and controls.

Question 3: What does 'exam sitting' refer to in the context of CAS credentialing?

A formal interview with a CAS examiner panel
The seating arrangement policy at Prometric test centers
A mandatory study session required before registration
A scheduled administration window during which a specific exam is offered (Correct answer)

Correct answer: A scheduled administration window during which a specific exam is offered

An exam sitting refers to the scheduled period during which candidates may take a particular CAS exam.

Question 4: Under ASOP No. 41, an 'intended user' of an actuarial communication is best described as:

Only the principal who engaged the actuary
Any person who reads the actuarial report
A person the actuary identifies as someone who will rely on the actuarial communication (Correct answer)
Any regulatory agency with jurisdiction over the insurer

Correct answer: A person the actuary identifies as someone who will rely on the actuarial communication

ASOP No. 41 defines intended users as those specifically identified by the actuary as expected to rely on the communication.

Question 5: What is a 'copula' used for in multivariate actuarial modeling?

To combine separate frequency and severity distributions into a compound distribution
To aggregate individual policy losses into a portfolio-level loss distribution
To fit a parametric distribution to empirical loss data using maximum likelihood
To model the dependence structure between multiple random variables separately from their individual marginal distributions (Correct answer)

Correct answer: To model the dependence structure between multiple random variables separately from their individual marginal distributions

Copulas allow actuaries to model correlations and tail dependence between lines of business or risk factors independently of the marginal distributions, critical for enterprise risk management.

Question 6: What is 'credibility theory' used for in casualty actuarial pricing?

To determine whether an insurer's surplus is adequate to write new business
To assess whether an actuary's reserve opinion is reliable enough to publish
To measure how accurately a rating plan predicts future losses
To blend an insured's own experience with external data in proportion to the statistical reliability of the insured's data (Correct answer)

Correct answer: To blend an insured's own experience with external data in proportion to the statistical reliability of the insured's data

Credibility theory assigns a weight Z to an insured's own data (0 ≤ Z ≤ 1) based on its volume and homogeneity, blending it with broader complement-of-credibility data.

Question 7: Which designation does a CAS member hold after completing all preliminary exams and the online courses but before finishing all Fellowship requirements?

Enrolled Actuary
ACAS (Correct answer)
FCAS
CAS Associate Candidate

Correct answer: ACAS

ACAS (Associate of the Casualty Actuarial Society) is awarded upon meeting specified exam and coursework milestones short of full Fellowship.

Question 8: In the context of CAS research on inflation-sensitive reserving, 'superimposed inflation' differs from general economic inflation because it:

Represents claims cost increases beyond general CPI driven by social, legal, or medical utilization factors (Correct answer)
Only affects property lines, not liability lines
Is measured exclusively through Bureau of Labor Statistics data
Is always negative (deflationary) in nature

Correct answer: Represents claims cost increases beyond general CPI driven by social, legal, or medical utilization factors

Superimposed inflation captures cost escalation specific to insurance claims—nuclear verdicts, medical utilization growth, and attorney involvement—that exceed general price indices.

Question 9: A risk manager asks an actuary to quantify tail risk for a cyber liability portfolio using a metric the actuary believes is inappropriate for the data available. The actuary should:

Explain the limitations of the requested metric and propose a more suitable alternative (Correct answer)
Calculate the requested metric anyway to satisfy the stakeholder
Refuse the engagement entirely due to methodological concerns
Calculate the metric but suppress it from the final report

Correct answer: Explain the limitations of the requested metric and propose a more suitable alternative

Actuaries should educate stakeholders on methodological limitations and offer sound alternatives rather than blindly complying or refusing.

Question 10: The CAS Institute's Certified Specialist in Predictive Analytics (CSPA) credential is specifically designed for professionals who:

Focus on GAAP financial reporting
Apply advanced analytics in insurance without the full CAS fellowship track (Correct answer)
Only hold an ACAS designation
Work exclusively in life and health insurance

Correct answer: Apply advanced analytics in insurance without the full CAS fellowship track

The CSPA is a standalone credential for analysts and data scientists applying predictive modeling in insurance who may not be pursuing the full CAS fellowship.

Question 11: Which of the following exam changes must CAS announce to candidates at least how many days before the exam sitting to comply with its own policies?

At least 6 months (Correct answer)
At least 7 days
Changes must be announced one full year in advance
At least 30 days

Correct answer: At least 6 months

CAS policy requires that syllabus changes affecting an upcoming exam be announced at least six months prior to that exam sitting.

Question 12: A 'qualified actuary' for purposes of signing the NAIC Annual Statement actuarial opinion must be a member in good standing of which organization?

The Casualty Actuarial Society or the American Academy of Actuaries meeting P&C qualifications (Correct answer)
Any internationally recognized actuarial body
The Society of Actuaries with a P&C track
Only the Casualty Actuarial Society

Correct answer: The Casualty Actuarial Society or the American Academy of Actuaries meeting P&C qualifications

The NAIC requires the signing actuary to be a member of the CAS or an AAA member meeting the P&C qualification standards.

Question 13: When using gradient boosting machines (GBM) for loss cost modeling, the learning rate (shrinkage) hyperparameter primarily controls:

The minimum number of observations required in each leaf node
The fraction of training observations used to fit each tree
The maximum depth of each decision tree in the ensemble
The contribution of each successive tree to the overall prediction (Correct answer)

Correct answer: The contribution of each successive tree to the overall prediction

The learning rate scales each tree's contribution, trading off slower learning (smaller rate, more trees needed) for better generalization.

Question 14: Which of the following best describes the Bornhuetter-Ferguson (BF) reserve method?

A weighted blend of the development method and the expected loss method, giving credibility to both reported losses and an a priori expected loss estimate (Correct answer)
A frequency-severity method that multiplies claim counts by average severity
A regression-based method using economic variables to predict ultimate losses
A purely extrapolative method that relies solely on historical loss development patterns

Correct answer: A weighted blend of the development method and the expected loss method, giving credibility to both reported losses and an a priori expected loss estimate

The BF method is valuable for immature accident years where little data exists, balancing observed development patterns with an independent a priori loss estimate.

Question 15: An actuary is asked to give a presentation on catastrophe model outputs to a claims department that will use results to set large loss reserves. Which communication step is most important to include?

A history of catastrophe modeling software vendors and market share
A comparison of the insurer's cat model to all competitors' models
A technical derivation of the underlying stochastic simulation methodology
An explanation of key model inputs, output uncertainty, and how the results should and should not be used in reserving (Correct answer)

Correct answer: An explanation of key model inputs, output uncertainty, and how the results should and should not be used in reserving

Claims staff need practical guidance on applying model outputs appropriately, including understanding their limitations, not deep technical derivations.

Question 16: Which of the following operational risks would be classified under the Basel II / insurance ERM 'execution, delivery, and process management' category?

A vendor system outage disrupting claims processing
A data entry error causing a policy to be mispriced and issued (Correct answer)
A rogue trader causing unauthorized trading losses
A fire destroying a company data center

Correct answer: A data entry error causing a policy to be mispriced and issued

Mispricing due to data entry errors in policy issuance falls under execution and process management failures, which involve internal process breakdowns.

Question 17: In a quota share treaty with a 30% cession rate, if a $500,000 loss occurs, how much does the reinsurer pay?

$350,000
$200,000
$500,000
$150,000 (Correct answer)

Correct answer: $150,000

With a 30% quota share, the reinsurer pays 30% of the loss: 0.30 × $500,000 = $150,000, and the ceding company retains $350,000.

Question 18: Under state insurance regulation, what is the 'admitted assets' concept critical for?

Determining premium rates for new policies
Evaluating underwriting profitability by line
Measuring the assets that count toward solvency requirements (Correct answer)
Calculating an insurer's Risk-Based Capital ratio

Correct answer: Measuring the assets that count toward solvency requirements

Admitted assets are those recognized by state regulators for solvency purposes; non-admitted assets cannot be counted toward satisfying statutory liabilities.

Question 19: ASOP No. 20 (Discounting of Property and Casualty Unpaid Claim Estimates) applies when an actuary discounts unpaid claim estimates. Which is a required disclosure under this standard?

A comparison to undiscounted reserves from all prior years
The discount rates used and the payment pattern assumed (Correct answer)
The expected future inflation rate for the next 50 years
The names of all claims used to derive the payment pattern

Correct answer: The discount rates used and the payment pattern assumed

ASOP No. 20 requires disclosure of the discount rates and the payment pattern underlying the discounting calculation.

Question 20: What is scope creep?

The planned addition of new features
Uncontrolled expansion of project scope without corresponding adjustments (Correct answer)
A normal part of every project
A type of project risk assessment

Correct answer: Uncontrolled expansion of project scope without corresponding adjustments

Scope creep occurs when additional requirements are added without adjusting timeline, budget, or resources, potentially jeopardizing the project.

Question 21: What is 'retrocession' in the context of reinsurance?

The return of unearned premium when a treaty is cancelled mid-term
A reinsurer purchasing reinsurance from another reinsurer for risks it has accepted (Correct answer)
The ceding company buying back previously ceded risk
A regulatory requirement for reinsurers to hold additional reserves

Correct answer: A reinsurer purchasing reinsurance from another reinsurer for risks it has accepted

Retrocession occurs when a reinsurer (the retrocedant) transfers some of the risk it has assumed to another reinsurer (the retrocessionaire), effectively reinsuring the reinsurer.

Question 22: What is Value at Risk (VaR) as applied in casualty actuarial risk modeling?

The expected value of losses in the worst-case scenario
The variance of the loss distribution for a given portfolio
The maximum loss not exceeded with a specified probability over a defined time horizon (Correct answer)
The ratio of tail losses to expected losses at a given return period

Correct answer: The maximum loss not exceeded with a specified probability over a defined time horizon

VaR at the 99th percentile means there is a 1% chance losses will exceed that threshold, providing a concise summary of downside risk used in capital modeling.

Question 23: When applying scenario planning in P&C insurance, which of the following best describes the purpose of 'wild card' scenarios?

To represent low-probability, high-impact events that could disrupt strategy (Correct answer)
To define the range of regulatory outcomes
To set base case financial projections
To identify the most probable future state

Correct answer: To represent low-probability, high-impact events that could disrupt strategy

Wild card scenarios force strategic planners to consider extreme but plausible disruptions, improving organizational resilience and contingency preparedness.

Question 24: In stochastic loss reserving, what advantage does a simulation model provide over a deterministic point estimate?

It removes the need for a valuation actuary to sign the reserve opinion
It produces a full probability distribution of reserve outcomes, quantifying reserve uncertainty and enabling risk-based capital assessment (Correct answer)
It eliminates the need for actuarial judgment in selecting development patterns
It guarantees that the reserve estimate will fall within statutory requirements

Correct answer: It produces a full probability distribution of reserve outcomes, quantifying reserve uncertainty and enabling risk-based capital assessment

Stochastic reserving methods like bootstrapping or the Mack method generate ranges and percentiles around the reserve estimate, informing capital adequacy and risk management decisions.

Question 25: A CAS Fellow who has retired from active practice and holds 'retired member' status is subject to CE requirements under CAS policy?

Yes, but only 15 hours per two years is required for retired members
No, retired members are typically exempt from CE requirements (Correct answer)
Only if they perform any actuarial consulting work for compensation
Yes, all members regardless of status must complete 30 hours per two years

Correct answer: No, retired members are typically exempt from CE requirements

CAS policy generally exempts retired members who have formally transitioned to retired status from ongoing CE requirements.

Question 26: What is the 'law of large numbers' and why is it fundamental to insurance?

Larger insurance companies are more profitable than smaller ones
Larger deductibles reduce claim frequency proportionally
As the number of similar exposure units increases, actual loss experience approaches the expected (average) loss rate (Correct answer)
Premium rates increase as the number of policyholders grows

Correct answer: As the number of similar exposure units increases, actual loss experience approaches the expected (average) loss rate

The law of large numbers allows insurers to predict losses with greater accuracy over large pools of similar risks, making the business of insurance mathematically feasible.

Question 27: What distinguishes surplus lines insurance from admitted insurance in the US?

Surplus lines policies are backed by state guaranty funds
Surplus lines carriers must file rates with state regulators
Surplus lines insurers offer lower premiums than admitted carriers
Surplus lines insurers are not licensed in the state but may write risks that admitted carriers decline (Correct answer)

Correct answer: Surplus lines insurers are not licensed in the state but may write risks that admitted carriers decline

Surplus lines insurers operate outside normal state licensing requirements and state guaranty fund protection, filling coverage gaps for risks that admitted carriers won't write.

Question 28: What is materiality in financial reporting?

All financial information is equally important
Only amounts over $1 million are material
Information is material if its omission could influence users financial decisions (Correct answer)
Materiality only applies to tax reporting

Correct answer: Information is material if its omission could influence users financial decisions

Materiality determines whether information is significant enough that its inclusion or exclusion could affect decision-making.

Question 29: What is the primary benefit of obtaining a CAS credential?

Increased job opportunities and professional recognition. (Correct answer)
Guaranteed employment with CAS-affiliated companies.
Automatic promotion to executive positions.
Exemption from further actuarial exams.

Correct answer: Increased job opportunities and professional recognition.

The primary benefit of obtaining a CAS credential is increased job opportunities and professional recognition. These credentials, such as ACAS and FCAS, are highly respected within the insurance and financial industries, signifying a rigorous level of expertise and dedication. This recognition enhances marketability, opens doors to advanced roles, and establishes credibility among peers and employers.

Question 30: What is 'tail value at risk' (TVaR), also called Conditional Tail Expectation (CTE)?

The standard deviation of losses in the upper tail of the distribution
The maximum probable loss at a specified return period
The ratio of catastrophe losses to total losses above a threshold
The expected value of losses given that losses exceed the VaR threshold (Correct answer)

Correct answer: The expected value of losses given that losses exceed the VaR threshold

TVaR/CTE is preferred over VaR in many actuarial applications because it captures the severity of extreme losses beyond the threshold, not just their probability.

Question 31: Which technological advancement has significantly impacted actuarial research?

Traditional spreadsheets.
Blockchain technology.
Paper-based records.
Machine learning. (Correct answer)

Correct answer: Machine learning.

Machine learning has significantly impacted actuarial research by enabling actuaries to analyze vast and complex datasets with greater efficiency and accuracy. This technology allows for the development of more sophisticated predictive models, enhancing risk assessment, pricing strategies, and fraud detection. It provides powerful tools to uncover patterns and make data-driven decisions that traditional methods might miss.

Question 32: What is the 'chain ladder' (development) method's primary assumption in loss reserving?

IBNR is a fixed percentage of reported losses regardless of accident year maturity
Future loss development patterns will be consistent with historical development patterns observed in the triangle (Correct answer)
Loss development factors are constant across all lines of business
Losses develop proportionally to premium volume in each accident year

Correct answer: Future loss development patterns will be consistent with historical development patterns observed in the triangle

The chain ladder method assumes historical age-to-age development factors are predictive of future development, making pattern stability a critical condition for its reliability.

Question 33: In a loss reserve analysis, what is an 'accident year' loss triangle?

A schedule comparing reported losses to paid losses at each quarter end
A table showing the number of accidents by month within a calendar year
A graph plotting loss frequency against loss severity for a given year
A matrix displaying cumulative losses by the year the loss occurred and the age at which they were evaluated (Correct answer)

Correct answer: A matrix displaying cumulative losses by the year the loss occurred and the age at which they were evaluated

An accident year triangle organizes cumulative losses (or claims) by accident year (rows) and development age (columns), enabling actuaries to observe and project development patterns.

Question 34: In actuarial pricing, what is the 'risk load' or 'risk margin' added to the expected loss cost?

The profit target required by the insurer's shareholders
The expense load covering underwriting and administrative costs
A discount factor applied to reflect investment income earned on reserves
Additional premium beyond expected losses to compensate for the variability and uncertainty in actual loss outcomes (Correct answer)

Correct answer: Additional premium beyond expected losses to compensate for the variability and uncertainty in actual loss outcomes

The risk load compensates the insurer for taking on uncertain liabilities; it reflects the cost of capital required to support reserve variability and is separate from the expense and profit loads.

Question 35: Under the CAS Code of Professional Conduct, what must an actuary do when they discover that a previously issued actuarial communication contains a material error?

Notify only the principal who requested the work
Take reasonable steps to correct or withdraw the communication (Correct answer)
Wait until the next scheduled filing to correct the error
Keep the error confidential if it does not affect current decisions

Correct answer: Take reasonable steps to correct or withdraw the communication

Precept 8 of the CAS Code of Professional Conduct requires actuaries to take reasonable steps to correct or withdraw a previously issued communication if they discover a material error.

Question 36: In US property and casualty insurance, what does 'occurrence basis' coverage mean?

Coverage applies to losses that occur during the policy period, regardless of when the claim is filed (Correct answer)
Coverage applies only when the insured reports the loss within 30 days
Coverage applies only to claims filed during the policy period
Coverage is triggered when the insured discovers the loss

Correct answer: Coverage applies to losses that occur during the policy period, regardless of when the claim is filed

Occurrence basis coverage is triggered by when the loss event happens, not when the claim is reported, which can affect long-tail liability lines.

Question 37: Which reinsurance pricing method calculates the reinsurer's expected loss cost based on historical loss experience adjusted for trend and development?

Payback period method
Index-linked pricing
Experience rating (burning cost method) (Correct answer)
Exposure rating

Correct answer: Experience rating (burning cost method)

The burning cost (experience rating) method prices reinsurance by analyzing historical losses that exceeded the retention, trended and developed to current levels, to estimate future reinsurer costs.

Question 38: What is the primary purpose of the 'schedule rating' plan in commercial lines insurance?

To modify a standard class rate up or down based on specific physical and operational characteristics of an individual risk (Correct answer)
To assign risks to rating classes based on their industry classification
To allocate expenses across lines of business for rate filing purposes
To determine the premium for risks that don't qualify for experience rating

Correct answer: To modify a standard class rate up or down based on specific physical and operational characteristics of an individual risk

Schedule rating allows underwriters to adjust individual risk premiums for factors like premises condition, management quality, and loss control that are not fully captured by class rates.

Question 39: What is the purpose of the CAS Syllabus of Basic Education?

To outline the learning objectives, readings, and structure for each required exam (Correct answer)
To publish the pass rates for all exams in the prior year
To describe the continuing education requirements for FCASs
To list all employees of the CAS home office

Correct answer: To outline the learning objectives, readings, and structure for each required exam

The Syllabus of Basic Education specifies the learning objectives and required readings for each CAS exam, guiding candidate preparation.

Question 40: In a stochastic claims reserving model using bootstrapping of Pearson residuals, the main purpose is to:

Replace missing values in the loss triangle with estimated ones
Generate a distribution of reserve estimates to quantify reserve uncertainty (Correct answer)
Test whether accident year means are equal using resampled F-statistics
Correct the chain-ladder link ratios for heteroscedasticity

Correct answer: Generate a distribution of reserve estimates to quantify reserve uncertainty

Bootstrapping the residuals of a chain-ladder model produces many simulated triangles, yielding a distribution of possible ultimate losses that quantifies reserve risk.

Question 41: What is the 'pure premium' method for calculating insurance rates?

Calculating the ratio of incurred losses to earned premium
Dividing projected ultimate losses by the number of exposures to derive the average loss cost per exposure unit (Correct answer)
Multiplying the loss ratio by the current average premium
Dividing total premium by the number of policies in force

Correct answer: Dividing projected ultimate losses by the number of exposures to derive the average loss cost per exposure unit

The pure premium method directly derives a loss cost per exposure unit, which is then loaded for expenses and profit to produce the final rate.

Question 42: When a CAS actuary acts as an expert witness, which ethical obligation remains paramount?

Objectivity and presenting an unbiased actuarial opinion (Correct answer)
Confidentiality of all case-related information
Loyalty to the retaining attorney's legal strategy
Advocating for the financial position of the retaining party

Correct answer: Objectivity and presenting an unbiased actuarial opinion

Even when retained as an expert witness, an actuary must maintain objectivity and provide unbiased professional opinion regardless of which party retained them.

Question 43: What is a 'sliding scale commission' in proportional reinsurance?

A variable commission tied to inflation indices
A commission based on the reinsurer's investment income
A flat commission that slides down over the treaty term
A commission that increases as the ceded loss ratio improves (decreases) (Correct answer)

Correct answer: A commission that increases as the ceded loss ratio improves (decreases)

A sliding scale commission adjusts the ceding commission inversely with the loss ratio: the commission increases when the loss ratio is low (profitable year) and decreases when the loss ratio is high.

Question 44: What does 'IBNR' stand for and what does it represent in loss reserving?

Indexed But Not Restated; losses not adjusted for inflation trends
Identified But Not Reserved; claims under investigation without established reserves
Incurred But Not Resolved; claims reported but not yet settled
Incurred But Not Reported; losses that have occurred but have not yet been reported to the insurer (Correct answer)

Correct answer: Incurred But Not Reported; losses that have occurred but have not yet been reported to the insurer

IBNR reserves are set aside for losses that have occurred during the policy period but have not yet been reported to the insurer, a critical component of total reserves.

Question 45: In excess of loss reinsurance, what is the term for the amount the ceding company pays before the reinsurer's coverage begins?

Attachment point (retention) (Correct answer)
Cession
Treaty limit
Burning cost

Correct answer: Attachment point (retention)

The attachment point (also called the retention) is the dollar amount of loss the ceding company must absorb before the reinsurer begins paying under an excess of loss structure.

Casualty Actuarial Society (CAS) Actuarial Certification

The CAS credential program certifies actuaries specializing in property/casualty insurance through a series of exams covering ratemaking, loss reserving, actuarial modeling, and professional standards. Candidates earn the ACAS and FCAS designations by passing exams administered via Pearson VUE computer-based testing.

Questions

210 min

Time Limit

65%

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