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

Question 1: Which of the following is an example of a 'long-tail' line of business in casualty insurance?

Personal auto collision
Inland marine coverage
Medical malpractice liability (Correct answer)
Homeowners property coverage

Correct answer: Medical malpractice liability

Medical malpractice is a long-tail line because claims can be reported and settled many years after the policy period ends, creating significant reserving uncertainty.

Question 2: What is the 'frequency-severity' method in actuarial loss projection?

Measuring the correlation between accident frequency and accident severity
A statistical test for goodness-of-fit in a loss distribution model
Separately projecting the number of claims (frequency) and the average cost per claim (severity), then multiplying them to estimate total losses (Correct answer)
Analyzing the distribution of large losses versus small losses in a portfolio

Correct answer: Separately projecting the number of claims (frequency) and the average cost per claim (severity), then multiplying them to estimate total losses

The frequency-severity method projects ultimate losses by independently analyzing trends and development in claim counts and average claim costs, then combining them.

Question 3: CAS Exam 9 focuses on which area of actuarial practice?

Basic loss development
Insurance regulation
Advanced ratemaking
Financial risk and rate of return (Correct answer)

Correct answer: Financial risk and rate of return

Exam 9 covers financial risk and rate of return, including portfolio theory, asset-liability management, and financial risk measures.

Question 4: What is the 'chain ladder' (development) method's primary assumption in loss reserving?

Loss development factors are constant across all lines of business
Future loss development patterns will be consistent with historical development patterns observed in the triangle (Correct answer)
IBNR is a fixed percentage of reported losses regardless of accident year maturity
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 5: What is the 'law of large numbers' and why is it fundamental to insurance?

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
Larger insurance companies are more profitable than smaller ones
Larger deductibles reduce claim frequency proportionally

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 6: What is the purpose of the CAS Continuing Education (CE) Policy?

To limit the number of certified actuaries in the industry.
To increase membership fees.
To restrict actuaries from changing career paths.
To provide a structured learning path for credentialed actuaries. (Correct answer)

Correct answer: To provide a structured learning path for credentialed actuaries.

The purpose of the CAS Continuing Education (CE) Policy is to provide a structured learning path for credentialed actuaries. This policy outlines specific requirements and acceptable activities, ensuring members engage in ongoing professional development. It helps actuaries continuously update their knowledge, skills, and ethical understanding, thereby maintaining the high standards of the profession.

Question 7: In CAS research on natural language processing (NLP) for claims management, which application has shown the most direct improvement in loss reserving accuracy?

Mining adjuster notes and medical records to improve claim severity prediction and triage (Correct answer)
Automated generation of reinsurance treaties
Translating policy language into standardized rating algorithms
Generating actuarial opinion letters from financial statements

Correct answer: Mining adjuster notes and medical records to improve claim severity prediction and triage

NLP applied to unstructured adjuster notes and medical records can extract features predictive of claim development that are unavailable in structured databases.

Question 8: What is a 'sliding scale commission' in proportional reinsurance?

A commission based on the reinsurer's investment income
A variable commission tied to inflation indices
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 9: What is a 'loss corridor' in an aggregate reinsurance structure?

The geographic area covered by catastrophe reinsurance
A buffer between the primary attachment point and reinsurance limit
The time window during which losses can be reported to the reinsurer
A range of aggregate losses where the ceding company retains 100% of losses (Correct answer)

Correct answer: A range of aggregate losses where the ceding company retains 100% of losses

A loss corridor is a band within the reinsurance structure where the ceding company bears all losses itself, often placed between two layers of reinsurance, reducing the reinsurer's exposure and premium cost.

Question 10: In actuarial ratemaking, what does 'on-leveling' premium data accomplish?

Adjusting historical premium to reflect what it would have been at current rate levels (Correct answer)
Removing the effect of inflation from historical loss data
Projecting future premium volume based on historical growth trends
Credibility-weighting the insurer's own experience against industry data

Correct answer: Adjusting historical premium to reflect what it would have been at current rate levels

On-leveling (or bringing premiums to current level) ensures historical premiums are comparable to current rates before computing historical loss ratios.

Question 11: Under the 'follow the fortunes' doctrine in reinsurance, what obligation does the reinsurer have?

To provide coverage only when the primary policy is also paying
To follow the investment strategy of the ceding company
To pay its share of losses as long as the ceding company settled them in good faith (Correct answer)
To adjust its pricing annually based on the ceding company's profits

Correct answer: To pay its share of losses as long as the ceding company settled them in good faith

The 'follow the fortunes' doctrine requires the reinsurer to pay its share of settlements made by the ceding company in good faith, even if the reinsurer might have resolved the claim differently.

Question 12: 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 technical derivation of the underlying stochastic simulation methodology
A comparison of the insurer's cat model to all competitors' models
An explanation of key model inputs, output uncertainty, and how the results should and should not be used in reserving (Correct answer)
A history of catastrophe modeling software vendors and market share

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 13: When a CAS exam candidate requests a score verification, what does CAS typically verify?

The identity of all candidates who sat the same exam
Whether the exam questions were actuarially sound
Whether the exam was graded by a senior examiner
That the candidate's responses were accurately captured and scored according to the answer key (Correct answer)

Correct answer: That the candidate's responses were accurately captured and scored according to the answer key

Score verification confirms that the candidate's answer records were correctly read and scored, not that question judgments are re-evaluated.

Question 14: In stochastic loss reserving, what advantage does a simulation model provide over a deterministic point estimate?

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

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 15: Which CAS body is primarily responsible for investigating and adjudicating alleged violations of the Code of Professional Conduct by CAS members?

The Actuarial Board for Counseling and Discipline (ABCD) (Correct answer)
The CAS Board of Directors
The American Academy of Actuaries Ethics Committee
The CAS Committee on Professionalism Education

Correct answer: The Actuarial Board for Counseling and Discipline (ABCD)

The ABCD, a joint body of the major US actuarial organizations, handles counseling and discipline for alleged Code violations.

Question 16: A 'qualified actuary' for purposes of signing the NAIC Annual Statement actuarial opinion must be a member in good standing of which organization?

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

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 17: The Precept in the CAS Code of Professional Conduct that addresses an actuary's obligation to not engage in false or misleading statements is:

Precept 7
Precept 4 (Correct answer)
Precept 1
Precept 10

Correct answer: Precept 4

Precept 4 prohibits actuaries from making false or misleading statements in the course of their professional activities.

Question 18: What is Value at Risk (VaR) as applied in casualty actuarial risk modeling?

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

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 19: What is the purpose of using open-ended questions?

To control the direction of the conversation
To get quick yes-or-no answers
To limit the amount of information shared
To encourage detailed responses and gather comprehensive information (Correct answer)

Correct answer: To encourage detailed responses and gather comprehensive information

Open-ended questions encourage people to share more information, leading to better understanding and rapport.

Question 20: In experience rating for workers' compensation, what does the 'experience modification factor' (EMod) measure?

The insurer's profitability on the account relative to class average
The percentage change in workers' comp premium from the prior policy year
The frequency of OSHA citations relative to industry peers
The ratio of an employer's actual loss experience to the expected losses for their industry class, used to adjust the standard premium (Correct answer)

Correct answer: The ratio of an employer's actual loss experience to the expected losses for their industry class, used to adjust the standard premium

An EMod above 1.0 indicates worse-than-average experience and results in a premium surcharge, while an EMod below 1.0 reflects better-than-average experience and earns a credit.

Question 21: What is 'adverse selection' in the context of property and casualty insurance underwriting?

The tendency for higher-risk individuals to be more likely to seek insurance, skewing the insured pool toward worse-than-average risks (Correct answer)
The phenomenon where safer drivers choose higher deductibles
An underwriter's bias toward approving applications from preferred agents
The deliberate selection of unprofitable accounts by competing carriers

Correct answer: The tendency for higher-risk individuals to be more likely to seek insurance, skewing the insured pool toward worse-than-average risks

Adverse selection occurs because individuals with higher loss probability are more motivated to buy insurance, which can make insurer pricing inadequate if not addressed through underwriting.

Question 22: Which actuarial document must accompany the loss reserve exhibit in a property-casualty insurer's Annual Statement filed with state regulators?

Actuarial Memorandum reviewed by the state's chief actuary
Actuarial Report and its underlying data workpapers
Statement of Actuarial Opinion (SAO) signed by a Qualified Actuary (Correct answer)
Loss Reserve Certification signed by a Qualified Loss Reserve Specialist (QLRS)

Correct answer: Statement of Actuarial Opinion (SAO) signed by a Qualified Actuary

State insurance regulations require a Statement of Actuarial Opinion on loss and LAE reserves signed by a Qualified Actuary to accompany the property-casualty Annual Statement, attesting to reserve adequacy.

Question 23: Which financial statement best reflects an insurer's ability to pay claims as they come due?

Balance sheet equity section
Underwriting gain/loss exhibit
Income statement
Statement of cash flows (Correct answer)

Correct answer: Statement of cash flows

The statement of cash flows reveals operating, investing, and financing cash flows, indicating actual liquidity to meet obligations.

Question 24: Which study resource is commonly associated with CAS Exam 5 ratemaking preparation?

Klugman 'Loss Models'
Werner & Modlin 'Basic Ratemaking' (Correct answer)
Foundations of Casualty Actuarial Science
Hull 'Options, Futures and Other Derivatives'

Correct answer: Werner & Modlin 'Basic Ratemaking'

Werner and Modlin's 'Basic Ratemaking' is a primary syllabus resource for the ratemaking portion of CAS Exam 5.

Question 25: A dataset of 500 claims has a sample mean of $12,000 and sample standard deviation of $8,000. The 95% confidence interval for the population mean is constructed using the t-distribution rather than the normal because:

The data contains outliers
The sample size is below 1,000
The claim amounts are right-skewed
The population standard deviation is unknown (Correct answer)

Correct answer: The population standard deviation is unknown

The t-distribution is used when the population standard deviation is unknown and must be estimated from sample data.

Question 26: An insurer builds a classification tree to predict whether a policy will generate a large loss. The tree is grown to full depth on training data (zero misclassification error). The primary problem with deploying this model is:

Classification trees are not interpretable for regulatory filings
The Gini splitting criterion is biased toward high-cardinality variables
Decision trees cannot handle categorical predictors without encoding
The model is overfit and will likely perform poorly on new, unseen data (Correct answer)

Correct answer: The model is overfit and will likely perform poorly on new, unseen data

A fully grown tree memorizes training data noise (overfitting), resulting in high variance and degraded predictive performance on hold-out or future data.

Question 27: In GLM (Generalized Linear Model) ratemaking, what is the typical link function used for multiplicative rating plans?

Logit link function
Identity link function
Log link function (Correct answer)
Probit link function

Correct answer: Log link function

The log link function produces a multiplicative rating structure where rating factors for different variables multiply together, which is standard in P&C insurance pricing.

Question 28: Why is continuing education important for CAS credential holders?

To increase membership fees.
To ensure actuaries remain current in their field. (Correct answer)
To eliminate outdated practices from the field.
To reduce the number of certified actuaries.

Correct answer: To ensure actuaries remain current in their field.

Continuing education is important for CAS credential holders to ensure actuaries remain current in their field. The actuarial landscape is constantly evolving with new methodologies, regulations, and economic factors. Ongoing learning allows actuaries to adapt to these changes, maintain their professional competency, and provide accurate and relevant advice throughout their careers.

Question 29: What is a 'copula' used for in multivariate actuarial modeling?

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)
To aggregate individual policy losses into a portfolio-level loss distribution
To combine separate frequency and severity distributions into a compound distribution

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

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
Replace missing values in the loss triangle with estimated ones

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.

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

35 min

Time Limit

65%

To Pass

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