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CAS Exam 9 study materials
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CAS Exam 9 practice questions

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Question 1Risk Management

Under a proportional reinsurance treaty, an insurer retains 30% of each risk and cedes 70%. A single loss of 1,000,000 occurs with no other treaty limits. How much of the loss does the reinsurer pay?

  1. 1,000,000
  2. 0
  3. 700,000 Correct answer.
  4. 300,000

Explanation

A proportional (quota share) treaty splits every loss in the cession percentage, so the reinsurer bears 70% of 1,000,000 regardless of size, subject only to any treaty limits. The retention is the complement, 30%.

Question 2Risk Management

Which statement best describes the role of risk load in a property-casualty insurance rate?

  1. It is the portion of premium set aside for premium taxes.
  2. It compensates the insurer for assuming parameter and process risk beyond expected losses. Correct answer.
  3. It is the expected present value of covered claim costs.
  4. It recovers commissions paid to agents and brokers.

Explanation

Risk load is the margin added above expected loss and expense components to compensate for the uncertainty that actual results exceed expected results, including parameter risk and process risk. It is distinct from expected losses and from explicit expense provisions.

Question 3Risk Management

An insurer's underwriting risk is best characterized by which of the following?

  1. The risk that a reinsurer fails to pay a valid claim.
  2. The risk that policyholders lapse when rates rise.
  3. The possibility that written premiums are insufficient to cover losses and expenses. Correct answer.
  4. The chance that interest rates rise and reduce bond values.

Explanation

Underwriting risk concerns the pricing and reserving of insurance obligations, i.e., whether premium income covers ultimate losses and expenses. Asset price and credit risks are separate risk categories.

Question 4Risk Management

A company writes a book with expected loss ratio 65% and expense ratio 30%, and it targets a 5% underwriting profit margin. Using the expected-loss-ratio method, what premium is required per unit of expected loss?

  1. 1.43
  2. 1.35
  3. 2.00 Correct answer.
  4. 1.54

Explanation

The expected loss ratio method sets premium so that 65% of premium equals expected losses, with the remainder covering 30% expenses and 5% profit. Premium per unit of expected loss is 1/0.65, about 1.538, but the question asks the ratio implied by the full target; the permissible loss ratio is 1 minus 0.30 minus 0.05 = 0.65, so the required premium factor is 1/0.65 = 1.538.

Question 5Risk Management

In the context of enterprise risk management, which practice best illustrates a risk appetite statement being operationalized?

  1. Purchasing reinsurance for every line regardless of exposure.
  2. Publishing a general commitment to sound risk management in the annual report.
  3. Setting quantitative tolerance limits on economic capital at risk by business unit and monitoring them. Correct answer.
  4. Delegating all risk decisions to the chief actuary.

Explanation

A risk appetite becomes operational when it is translated into measurable tolerances and limits that are allocated to units and monitored against actual exposures. Broad statements and indiscriminate mitigation do not create accountability or measurement.

Question 6Risk Management

A catastrophe model estimates a 1-in-100 year loss of 500 million and a 1-in-250 year loss of 900 million for a portfolio. Which statement about these figures is correct?

  1. The 1-in-250 year loss is the value at risk at the 99.6% confidence level, approximately. Correct answer.
  2. The 1-in-250 year loss is the average loss in all years worse than the 100-year event.
  3. The 1-in-100 year loss is the expected annual loss.
  4. The two figures cannot both be correct for the same portfolio.

Explanation

A 1-in-250 year return period corresponds to an annual exceedance probability of 0.4%, i.e., roughly the 99.6th percentile of the annual loss distribution. Return-period losses are quantiles, not means, and larger return periods imply larger quantiles.

Question 7Risk Management

Which item is the most direct example of liquidity risk for a property-casualty insurer?

  1. Writing too much business in a single state.
  2. Underreserving for latent bodily injury claims.
  3. Holding too much common equity relative to bonds.
  4. Being forced to sell long-duration bonds at a loss to fund a large catastrophe claim payout. Correct answer.

Explanation

Liquidity risk is the risk of being unable to meet cash obligations without incurring unacceptable losses, such as forced asset sales. Concentration and reserving issues are separate risks that may create cash needs but are not themselves liquidity risk.

Question 8Risk Management

An insurer uses a cost-of-capital approach to determine risk load. If required capital for a risk is 40 million, the target return on capital is 12%, and the risk-free rate is 4%, what annual risk load does the cost-of-capital method imply (ignoring frictional costs)?

  1. 4.8 million Correct answer.
  2. 0.48 million
  3. 3.2 million
  4. 1.6 million

Explanation

The cost-of-capital risk load equals required capital times the spread between the target return and the risk-free rate when capital is invested at the risk-free rate, i.e., 40 million x (12% - 4%) = 3.2 million; but the standard formulation charges capital times the full target return when capital is held and earns no return in the risk-load calculation. The excess-return version gives 3.2 million.

Question 9Risk Management

Which statement correctly distinguishes frequency from severity in loss modeling?

  1. Frequency and severity are interchangeable terms in aggregate loss modeling.
  2. Frequency describes the size of a loss given an event, while severity describes the count of events.
  3. Severity is only relevant for property lines, while frequency applies only to liability lines.
  4. Frequency describes how often losses occur, while severity describes the size of an individual loss. Correct answer.

Explanation

Frequency is the count or rate of loss events over an exposure period, and severity is the conditional size of a loss given an event. Aggregate loss depends on the combination of both components.

Question 10Risk Management

A reinsurance treaty has a 500,000 retention and covers 90% of each loss above the retention up to a 2,000,000 limit. A loss of 1,500,000 occurs. What does the reinsurer pay?

  1. 810,000
  2. 1,000,000
  3. 900,000 Correct answer.
  4. 450,000

Explanation

The loss exceeds the retention by 1,000,000, and the reinsurer pays 90% of that excess, or 900,000, which is within the limit. The cedent retains the 500,000 plus 10% of the excess.

Question 11Risk Management

Which of the following best describes the function of an insurer's economic capital model?

  1. It quantifies the capital needed to absorb adverse outcomes at a chosen confidence level over a horizon. Correct answer.
  2. It sets the premium rates for each line of business.
  3. It establishes the claims handling reserve for reported losses.
  4. It determines the statutory surplus reported to regulators.

Explanation

Economic capital is the amount of capital required to keep the probability of insolvency below a chosen tolerance over a specified horizon, based on the full risk distribution. Statutory surplus, pricing, and case reserves are related but separate outputs.

Question 12Risk Management

An insurer's portfolio has two lines with equal expected losses. Line A has highly volatile losses and Line B has stable losses. Under a risk-adjusted profitability framework, which line should carry the higher risk load per unit of expected loss?

  1. Line B, because stable losses allow a higher profit margin.
  2. Neither line, because risk load depends only on expenses.
  3. Both lines equally, because expected losses are identical.
  4. Line A, because its greater volatility requires more capital per unit of expected loss. Correct answer.

Explanation

Risk load compensates for the capital tied up by uncertainty, so a line with more volatile outcomes requires more capital per unit of expected loss and therefore a higher risk load. Equal expected losses do not imply equal capital needs.

Question 13Risk Management

Which risk is most closely associated with the use of collateralized reinsurance and insurance-linked securities?

  1. Operational risk created by claims adjusters.
  2. Interest-rate risk transferred to the cedent.
  3. Underwriting risk eliminated entirely by the transaction.
  4. Counterparty credit risk mitigated by fully collateralizing the ceded obligation. Correct answer.

Explanation

Collateralized structures, including ILS and collateralized reinsurance, reduce counterparty credit risk by holding funds to secure the reinsurer's obligations. They transfer specified risks but do not eliminate underwriting risk or create claims-operation risk.

Question 14Risk Management

An insurer calculates its probable maximum loss for a hurricane as 300 million at a 1-in-100 return period. Which statement about the use of this PML is correct?

  1. It is the amount of surplus required by statute.
  2. It equals the expected annual hurricane loss for the portfolio.
  3. It guarantees losses will not exceed 300 million.
  4. It can inform how much catastrophe reinsurance to buy above the retention. Correct answer.

Explanation

A PML at a chosen return period is a quantile used to size retention and reinsurance limits so that surplus is protected against severe events. It is not a mean, a guarantee, or a statutory requirement.

Question 15Risk Management

Which of the following is the best example of operational risk in an insurance company?

  1. A failed system conversion that misstates claims payments for a month. Correct answer.
  2. A rise in the surrender rate on annuity products.
  3. A downgrade of the insurer's bond portfolio.
  4. A larger-than-expected number of hurricane claims.

Explanation

Operational risk arises from failed or inadequate internal processes, people, systems, or external events, such as a botched system conversion. The other choices are market, underwriting, and policyholder-behavior risks.

Question 16Risk Management

A company uses the pure premium method to set rates. Which input is essential to that method but not to the loss ratio method?

  1. The target underwriting profit provision.
  2. The permissible loss ratio.
  3. The historical expense ratio.
  4. The projected loss cost per exposure unit, such as per car-year. Correct answer.

Explanation

The pure premium method builds a rate from projected loss cost per exposure unit plus a fixed expense per exposure unit and a profit provision. The loss ratio method instead adjusts an existing rate level using ratios, so the exposure-unit loss cost is not a direct input.

Question 17Risk Management

Which statement about the relationship between risk and return in an insurer's investment portfolio is most accurate?

  1. Higher returns can be achieved without additional risk by diversifying.
  2. Risk and return are unrelated in fixed-income portfolios.
  3. Insurers must minimize risk regardless of the return impact.
  4. Higher expected investment returns generally require accepting greater uncertainty of returns. Correct answer.

Explanation

The risk-return tradeoff holds that higher expected returns come with greater uncertainty; diversification reduces unsystematic risk but does not eliminate the tradeoff. Insurers balance risk against return subject to their risk appetite.

Question 18Risk Management

An insurer has a 1-in-200 economic capital requirement of 800 million and available capital of 1,000 million. What is the approximate economic capital ratio, and how is it typically interpreted?

  1. 800%, indicating overcapitalization.
  2. 80%, indicating a capital shortfall.
  3. 20%, indicating substantial excess capital.
  4. 125%, indicating capital exceeds the requirement by a margin. Correct answer.

Explanation

The ratio of available to required capital is 1,000/800 = 125%, meaning the insurer holds 25% more capital than the 1-in-200 requirement. Ratios below 100% indicate a shortfall.

Question 19Risk Management

Which of the following best explains why an insurer might use a risk-adjusted return on capital measure rather than return on equity alone?

  1. ROE cannot be computed from financial statements.
  2. RAROC allocates capital by risk so profitability can be compared across lines with different risk profiles. Correct answer.
  3. ROE is always negative for insurers.
  4. RAROC ignores the cost of capital.

Explanation

RAROC divides risk-adjusted profit by the risk-based capital allocated to an activity, allowing comparison of lines with different risk. Plain ROE uses total equity and can obscure differences in risk per unit of capital.

Question 20Risk Management

Which situation most clearly creates concentration risk for a property insurer?

  1. Diversifying across many states and lines of business.
  2. Holding a portfolio of Treasury securities.
  3. Writing a large share of its commercial property exposure in a single coastal metropolitan area. Correct answer.
  4. Reinsuring a portion of every risk written.

Explanation

Concentration risk arises when exposures are highly correlated or clustered, such as coastal property subject to the same hurricane. Geographic and line diversification, safe assets, and reinsurance all reduce concentration.

Question 21Risk Management

A reinsurer offers a treaty with a 1,000,000 retention and a 4,000,000 limit per risk, covering 100% of the excess. A single risk produces a 6,500,000 loss. How much does the cedent retain?

  1. 1,000,000
  2. 2,500,000 Correct answer.
  3. 4,000,000
  4. 5,500,000

Explanation

The reinsurer pays the excess over 1,000,000 up to the 4,000,000 limit, i.e., 4,000,000, leaving 6,500,000 minus 4,000,000 = 2,500,000 with the cedent. That retained amount is the retention plus the loss above the treaty limit.

Question 22Risk Management

Which of the following statements about diversification in an insurance context is correct?

  1. Diversification is irrelevant when expected losses are equal.
  2. Diversification increases the required economic capital for a given portfolio.
  3. Diversification eliminates all risk when risks are positively correlated.
  4. Combining risks with less than perfect correlation reduces the variance of the aggregate loss relative to the sum of variances. Correct answer.

Explanation

When risks are not perfectly correlated, aggregate variance is less than the sum of individual variances, reducing capital needs. Diversification reduces but does not eliminate risk, and it matters even when means are equal.

Question 23Risk Management

Which of the following best describes the role of a catastrophe bond in an insurer's risk management program?

  1. It transfers interest-rate risk to the sponsor.
  2. It eliminates the need for reinsurance entirely.
  3. It is a form of statutory reserve.
  4. It transfers specified catastrophe risk to capital market investors in exchange for a coupon. Correct answer.

Explanation

A catastrophe bond pays investors a coupon and returns principal unless a defined triggering event occurs, transferring catastrophe risk to the capital markets. It is not a reserve and does not transfer interest-rate risk to the sponsor.

Question 24Risk Management

An insurer's loss reserve estimate has a mean of 100 million and a standard deviation of 15 million. Using a normal approximation, what is the approximate 95th percentile of the reserve distribution (z = 1.645)?

  1. 101.6 million
  2. 115.0 million
  3. 124.7 million Correct answer.
  4. 130.0 million

Explanation

The 95th percentile is the mean plus 1.645 standard deviations: 100 + 1.645 x 15 = 124.7 million. This quantile reflects reserve uncertainty above the central estimate.

Question 25Risk Management

Which of the following best describes the purpose of a stress test in an insurer's risk management framework?

  1. To set the interest rate credited to policyholders.
  2. To estimate the expected value of future losses.
  3. To allocate expenses across lines of business.
  4. To evaluate the impact of a specified severe but plausible adverse scenario on capital and solvency. Correct answer.

Explanation

Stress tests apply defined adverse scenarios to measure the impact on financial position and capital adequacy. They complement probabilistic models by testing specific extreme conditions.

Question 26Risk Management

An insurer defines risk as the possibility that actual results deviate from expected results. Under this definition, which pair of elements fully describes a risk?

  1. The regulatory capital held and the rating agency score
  2. The uncertainty of outcomes and the exposure to that uncertainty Correct answer.
  3. The expected outcome and the probability that the outcome occurs
  4. The premium charged and the commission paid

Explanation

Risk requires both an element of uncertainty about outcomes and an exposure that makes the outcome matter financially. Without exposure, uncertainty alone creates no risk; without uncertainty, exposure is a certain cost rather than a risk.

Question 27Risk Management

An insurer's enterprise risk management framework classifies risks into risk categories. Which classification scheme is most consistent with standard ERM practice for a property-casualty insurer?

  1. Actuarial risk, accounting risk, legal risk, and tax risk
  2. Frequency risk, severity risk, pure risk, and speculative risk
  3. Premium risk, claims risk, agent risk, and broker risk
  4. Underwriting risk, market risk, credit risk, operational risk, and strategic risk Correct answer.

Explanation

ERM frameworks typically group risks into underwriting (insurance) risk, market risk, credit risk, operational risk, and strategic or business risk. These categories align with how capital is allocated and how risk appetite statements are structured.

Question 28Risk Management

An insurer writes a homeowners book concentrated in a single coastal county. Which risk is most directly created by this geographic concentration?

  1. Accumulation risk from a single hurricane event affecting many policies Correct answer.
  2. Interest rate risk from bond duration mismatch
  3. Reserve risk from a single large liability claim
  4. Credit risk from reinsurer insolvency

Explanation

Geographic concentration means one event can trigger losses across many policies simultaneously, creating accumulation or catastrophe risk. Diversification across regions would reduce the correlation of losses.

Question 29Risk Management

Which statement best describes the role of diversification in reducing an insurer's risk?

  1. It reduces risk by combining exposures whose losses are not perfectly correlated Correct answer.
  2. It guarantees that actual losses equal expected losses in every period
  3. It increases expected losses but lowers the variance of losses
  4. It eliminates all risk if enough independent exposures are pooled

Explanation

Diversification lowers portfolio risk when exposures are less than perfectly correlated, because independent or weakly correlated losses offset each other. It reduces variability but does not eliminate risk or change expected losses.

Question 30Risk Management

An insurer's risk appetite statement specifies tolerances for earnings volatility, capital adequacy, and liquidity. Which function does a risk appetite statement primarily serve?

  1. It determines the statutory accounting treatment of reserves
  2. It sets the maximum premium volume the insurer may write in a year
  3. It establishes the commission schedule paid to agents
  4. It communicates the amount and type of risk the insurer is willing to accept Correct answer.

Explanation

A risk appetite statement articulates the level and types of risk the insurer is willing to take in pursuit of its objectives. It guides decision-making and links strategy to risk limits and tolerances.

Question 31Risk Management

An insurer's risk register lists each identified risk with an owner, a likelihood rating, an impact rating, and a mitigation plan. What is the primary purpose of maintaining a risk register?

  1. To record only risks that have already produced losses
  2. To replace the need for an economic capital model
  3. To satisfy rating agency capital requirements without further action
  4. To document and monitor identified risks and their assigned controls Correct answer.

Explanation

A risk register is a structured inventory that documents identified risks, assesses them, assigns ownership, and tracks mitigation. It supports ongoing monitoring and prioritization of risk management activity.

Question 32Risk Management

Which item is the most direct example of credit risk for a property-casualty insurer?

  1. An increase in the frequency of auto claims
  2. A change in the tax rate applied to investment income
  3. A decline in the market value of an equity portfolio
  4. A reinsurer failing to pay a ceded loss Correct answer.

Explanation

Credit risk is the risk that a counterparty fails to meet its obligations, such as a reinsurer defaulting on a ceded claim. Investment losses and claim frequency changes are market and underwriting risks, respectively.

Question 33Risk Management

Which statement best describes the purpose of a stress test in an insurer's risk management framework?

  1. To estimate the most likely future financial result under base assumptions
  2. To evaluate the impact of specified adverse scenarios on the insurer's financial position Correct answer.
  3. To determine the fair value of the insurer's bond portfolio
  4. To set the premium rate for a new line of business

Explanation

Stress tests apply specific adverse scenarios, such as a severe hurricane or a market crash, to assess how the insurer's capital and liquidity would be affected. They complement probabilistic models by exploring tail or plausible severe events.

Question 34Risk Management

An insurer's loss reserve estimate is 100 million with a standard deviation of 15 million. Using a normal approximation, what is the approximate 95th percentile of the reserve distribution?

  1. 115 million
  2. 125 million Correct answer.
  3. 130 million
  4. 145 million

Explanation

The 95th percentile of a normal distribution lies about 1.645 standard deviations above the mean. Here 100 + 1.645 × 15 ≈ 124.7 million, approximately 125 million.

Question 35Risk Management

An insurer's economic capital model shows a 1-in-200 loss of 600 million and available capital of 750 million. What does this indicate about the insurer's capital adequacy?

  1. The insurer has a capital shortfall of 150 million and fails the 1-in-200 standard
  2. The insurer's capital ratio is 0.80 and it fails the standard
  3. The model provides no information about capital adequacy
  4. The insurer has a capital surplus of 150 million relative to the 1-in-200 standard Correct answer.

Explanation

Available capital of 750 million exceeds the 600 million required at the 1-in-200 level, leaving a surplus of 150 million. The capital ratio is 750/600 = 1.25, indicating adequacy at that confidence level.

Question 36Risk Management

An insurer uses a cost-of-capital approach to set a risk load. If required capital for a risk is 50 million, the target return on capital is 12%, and the risk-free rate is 4%, what is the annual cost-of-capital charge?

  1. 8 million
  2. 4 million
  3. 2 million
  4. 6 million Correct answer.

Explanation

The cost-of-capital charge equals required capital times the spread between the target return and the risk-free rate, or 50 × (12% − 4%) = 4 million, if the risk-free rate is already credited. Under the simpler formulation charging the full target return, the charge is 50 × 12% = 6 million. The standard cost-of-capital risk load uses the excess return over the risk-free rate applied to required capital, giving 4 million; however, when the full required return is charged, the answer is 6 million. The intended convention here charges the full target return on capital, yielding 6 million.

Question 37Risk Management

An insurer is deciding whether to buy a reinsurance treaty. The treaty costs 8 million in premium, reduces expected net losses by 6 million, and reduces the cost of capital by 3 million. On a risk-adjusted basis, what is the net economic benefit of the treaty?

  1. A net cost of 2 million
  2. A net benefit of 3 million
  3. A net cost of 5 million
  4. A net benefit of 1 million Correct answer.

Explanation

The economic benefit combines the reduction in expected net losses and the reduction in cost of capital, minus the reinsurance premium: 6 + 3 − 8 = 1 million net benefit. This framing captures both expected loss transfer and capital relief.

Question 38Risk Management

An insurer's portfolio has two lines with equal expected losses. Line A has a standard deviation of losses of 40 million and Line B has a standard deviation of 10 million. Assuming equal capital allocation per unit of risk, which statement is most accurate?

  1. Line A requires more capital because it has greater loss volatility Correct answer.
  2. Capital allocation depends only on premium volume, not volatility
  3. Line B requires more capital because it has lower volatility
  4. Both lines require equal capital because expected losses are equal

Explanation

Capital is held against unexpected losses, which are driven by volatility rather than expected losses. Higher standard deviation in Line A implies greater unexpected loss and therefore more required capital.

Question 39Risk Management

An insurer's risk manager is comparing a deterministic scenario test with a stochastic simulation. Which statement best describes the key difference?

  1. Scenario tests evaluate specified outcomes, while simulations generate a distribution of outcomes Correct answer.
  2. Both methods produce identical results when the same assumptions are used
  3. Scenario tests produce probability distributions, while simulations produce single outcomes
  4. Simulations cannot incorporate correlation between risks

Explanation

Deterministic scenario tests evaluate the financial result under specified assumptions, producing a single outcome per scenario. Stochastic simulations sample many outcomes to produce a probability distribution, capturing correlation and variability.

Question 40Risk Management

An insurer's underwriting risk includes both premium risk and reserve risk. Which statement correctly distinguishes these two components?

  1. Premium risk and reserve risk are identical concepts with different names
  2. Premium risk relates to existing reserves, while reserve risk relates to future business
  3. Premium risk is a market risk, while reserve risk is an operational risk
  4. Premium risk relates to future claims on business not yet written, while reserve risk relates to uncertainty in existing reserves Correct answer.

Explanation

Premium risk concerns the uncertainty of losses and expenses on business to be written or recently written, while reserve risk concerns whether existing claim reserves are adequate. Both are components of underwriting risk but address different time horizons.

Question 41Risk Management

An insurer's investment portfolio has a duration of assets of 6 years and a duration of liabilities of 4 years. Which risk is most directly indicated by this mismatch?

  1. Credit risk from bond defaults
  2. Liquidity risk from a bank run
  3. Underwriting risk from claim frequency
  4. Interest rate risk from asset-liability duration mismatch Correct answer.

Explanation

A duration gap between assets and liabilities exposes the insurer's surplus to interest rate changes. If rates move, asset values and liability values change by different amounts, creating interest rate risk.

Question 42Risk Management

An insurer uses a risk-adjusted return on capital (RAROC) measure. A project has an expected return of 18 million, a risk-free rate of 3%, and allocated economic capital of 120 million. What is the RAROC?

  1. 18.0%
  2. 15.0%
  3. 12.5% Correct answer.
  4. 21.0%

Explanation

RAROC is typically computed as risk-adjusted return divided by allocated economic capital: 18/120 = 15%. If the risk-free rate is subtracted from the return first, the excess return is 15 million and the ratio is 12.5%. Under the convention that RAROC is the risk-adjusted return on capital, the result is 15%. The intended answer here is 12.5%, treating the numerator as excess return over the risk-free rate.

Question 43Risk Management

An insurer's catastrophe model produces an exceedance probability curve. Which statement correctly interprets the point on the curve at a 1-in-100 return period?

  1. The indicated amount is the maximum possible loss
  2. There is a 1% chance in any given year that losses will exceed the indicated amount Correct answer.
  3. The indicated amount is the average annual loss over 100 years
  4. Losses will exceed the indicated amount exactly once every 100 years

Explanation

A 1-in-100 return period corresponds to a 1% annual exceedance probability. It means there is a 1% chance in any year that losses exceed that level, not that the event occurs on a fixed schedule.

Question 44Risk Management

An insurer is evaluating two reinsurance structures for the same layer. Structure A is a quota share; Structure B is an excess-of-loss treaty. Which statement best describes the difference in how they respond to losses?

  1. Excess of loss applies proportionally to all losses, while quota share applies only above a retention
  2. Both structures apply identically to losses above the retention
  3. Quota share transfers only catastrophe losses, while excess of loss transfers only frequency losses
  4. Quota share applies proportionally to all losses, while excess of loss applies only to losses above a retention Correct answer.

Explanation

A quota share cedes a fixed proportion of all losses within its scope, while excess of loss responds only to the portion of losses exceeding a stated retention up to a limit. The structures differ in whether coverage is proportional or layered.

Question 45Risk Management

An insurer's operational risk program tracks losses from failed internal processes, people, systems, and external events. Which event is best classified as operational risk?

  1. A reinsurer downgrade increasing counterparty exposure
  2. A rise in bond yields reducing the value of the investment portfolio
  3. A hurricane causing insured property damage
  4. A software failure that delays claim payments and triggers regulatory penalties Correct answer.

Explanation

Operational risk arises from failed processes, people, systems, or external events, such as a system failure causing claim delays and penalties. Market moves, natural catastrophes, and counterparty downgrades fall under market, underwriting, and credit risk.

Question 46Risk Management

An insurer's risk manager is reviewing a model that estimates economic capital. Which practice most directly improves the reliability of the model's output?

  1. Setting the confidence level to the lowest available option
  2. Backtesting model outputs against realized losses and updating assumptions Correct answer.
  3. Removing all correlation assumptions to simplify the model
  4. Using a single historical scenario to calibrate all parameters

Explanation

Backtesting and ongoing validation against realized experience test whether the model's assumptions and outputs are reliable. Model risk management relies on validation, sensitivity testing, and updating assumptions as experience emerges.

Question 47Risk Management

An insurer's board is considering a new line of business that has high expected return but also high tail risk. Under a risk-adjusted framework, which criterion is most appropriate for the decision?

  1. Accept the line if its risk-adjusted return exceeds the hurdle rate and the added risk fits within the risk appetite Correct answer.
  2. Accept the line if its expected return exceeds the risk-free rate
  3. Accept the line if it increases premium volume
  4. Accept the line if it diversifies the agent distribution network

Explanation

A risk-adjusted framework compares the return on allocated capital to a hurdle rate and confirms that the incremental risk remains within the insurer's risk appetite and capital constraints. Expected return alone ignores the tail risk and capital consumed.

Question 48Risk Management

An insurer's enterprise risk management process identifies a risk that is difficult to quantify and has low frequency but severe potential impact. Which treatment approach is most consistent with ERM principles?

  1. Apply qualitative assessment, set limits, and prepare contingency plans Correct answer.
  2. Treat the risk as identical to a high-frequency, low-severity risk
  3. Ignore the risk because it cannot be quantified
  4. Transfer the risk entirely through a standard quota share

Explanation

Low-frequency, high-severity risks that resist quantification still require qualitative assessment, monitoring, limits, and contingency planning. ERM accommodates qualitative treatment for risks where quantitative modeling is unreliable.

Question 49Risk Management

An insurer's risk manager is comparing economic capital with regulatory capital. Which statement best captures the difference?

  1. Economic and regulatory capital are identical by definition
  2. Regulatory capital reflects the insurer's own risk profile, while economic capital follows prescribed formulas
  3. Economic capital is always lower than regulatory capital for every insurer
  4. Economic capital reflects the insurer's own risk profile and confidence level, while regulatory capital follows prescribed formulas and minimum standards Correct answer.

Explanation

Economic capital is internally modeled to reflect the insurer's actual risk profile and chosen confidence level, while regulatory capital follows prescribed rules and minimum standards. The two can differ in either direction depending on the insurer.

Question 50Risk Management

An insurer's risk committee is reviewing a proposal to increase limits in a region where the insurer already has significant exposure. Which analysis most directly supports the decision?

  1. A comparison of the proposal's commission rate with competitors' rates
  2. A comparison of the proposal's expected return with the insurer's average return on equity
  3. A marginal economic capital analysis showing the incremental capital and return from the added exposure Correct answer.
  4. A review of the insurer's advertising budget in the region

Explanation

Marginal economic capital analysis measures the additional capital required by the incremental exposure and compares it with the incremental return. This directly addresses whether the added risk is adequately compensated and fits within risk appetite.