Prudential Regulation, Solvency and Financial SoundnessIntroduction and ContextInsurance is a promise to pay uncertain future claims. Unlike most ordinary commercial obligations, the insurer may receive the premium today, incur expenses over time, and pay a claim many years later. The policyholder therefore depends not only on the insurer’s contractual good faith but also on its continuing financial capacity. Prudential regulation exists to reduce the probability that an insurer will be unable to meet valid obligations and to limit the harm caused by failure when it occurs. Prudential supervision is concerned with the financial condition, governance, risk management and resilience of an insurer. It differs from conduct regulation, which focuses primarily on fair treatment, disclosure, sales practices and claims handling. The two are complementary: weak conduct can create financial losses, while weak financial management can make fair treatment impossible. This chapter examines capital adequacy, solvency models, technical provisions, actuarial valuation, asset–liability management, investment and liquidity controls, stress testing, scenario analysis, the Own Risk and Solvency Assessment (ORSA), and supervisory intervention. The discussion is framed around internationally influential principles, including risk-based supervision and the Insurance Core Principles of the International Association of Insurance Supervisors (IAIS). Exact requirements, formulas and thresholds vary by jurisdiction; practitioners must therefore apply the relevant national statute, regulations and supervisory guidance. Learning ObjectivesAfter studying this chapter, a learner should be able to: - Explain the purpose and architecture of prudential regulation.
- Distinguish technical provisions, regulatory capital, available capital and required capital.
- Interpret solvency ratios and compare major solvency models.
- Explain actuarial valuation, discounting, uncertainty margins and data governance.
- Assess asset–liability management, investment concentration and liquidity risk.
- Design basic stress tests and scenario analyses and interpret their limitations.
- Evaluate the role of ORSA, governance and supervisory intervention.
- Use regulatory and financial data to form a reasoned view of financial soundness.
1. The Prudential ObjectiveThe central prudential objective is protection of policyholders and beneficiaries. A sound framework also supports financial stability, confidence in insurance markets and efficient allocation of capital. Prudential regulation normally pursues four related outcomes: - Solvency: assets and capital remain sufficient to meet obligations under adverse conditions.
- Reserving adequacy: liabilities reflect expected future claims, benefits, expenses and options.
- Liquidity: cash and readily realisable assets are available when payments fall due.
- Governance and risk control: the board and management identify, measure, monitor and control material risks.
Insurance failure can arise from underwriting losses, catastrophe accumulation, asset defaults, market movements, poor pricing, rapid growth, operational failure, fraud, reinsurance default or a combination of these. A useful supervisory principle is that capital should be proportionate to the risks actually undertaken, not merely to the volume of premiums written. Solvency, liquidity and profitabilityThese concepts should not be confused. Solvency is a balance-sheet and risk-bearing concept: whether the insurer can meet obligations over the relevant horizon. Liquidity is a cash-flow concept: whether it can make payments when due. Profitability concerns the generation of income in excess of costs over a period. An insurer may be profitable but illiquid, liquid but insolvent, or solvent but temporarily unprofitable. A simple balance-sheet identity is: A = L + E where A is the value of assets, L is the value of liabilities and E is equity or available net assets. In regulatory analysis, the valuation basis for A and L is crucial. Market-consistent and statutory values may differ substantially from accounting values. 2. Technical Provisions and Actuarial ValuationTechnical provisions are amounts set aside to represent the present value of future insurance obligations. Terminology differs among regimes, but provisions commonly include claims reserves, premium provisions, mathematical reserves for life business, provisions for incurred but not reported claims, and risk or uncertainty margins. Best-estimate liabilityFor a portfolio of future cash flows, a simplified present-value model is: BEL = ∑[t=1 to T] E(Ct) ÷ (1 + rt)t BEL is the best-estimate liability, Ct is the future net cash flow at time t, E(Ct) is its expected value, rt is the effective discount rate for that maturity, and T is the final projection period. Cash flows must be defined consistently: claims and benefits are generally positive outflows, while directly attributable future premiums may be treated as inflows where the applicable regime permits. Rates must correspond to the currency, timing and risk characteristics of the cash flows. The formula assumes that expected cash flows can be estimated and that discounting is appropriate. It is not a complete valuation model where cash flows depend on policyholder options, guarantees, inflation, management actions or changing mortality. In such cases, stochastic or option-based techniques may be necessary. For a level payment C received or paid at the end of each year for n years at a constant annual rate i, the ordinary annuity factor is: PV = C × [1 − (1 + i)^−n] ÷ i This is a special case of the general discounted cash-flow formula. It assumes level cash flows, annual periods, a constant rate and end-of-period payments. It should not be used uncritically for irregular insurance cash flows. Claims reserving methodsNon-life actuaries may use several complementary methods: - Chain-ladder: projects historical development patterns. It is useful for relatively stable portfolios but sensitive to structural changes.
- Bornhuetter–Ferguson: combines an a priori expected loss ratio with observed development and is often more stable for immature accident years.
- Expected loss ratio methods: apply an expected ratio to earned premium, subject to credibility and exposure quality.
- Frequency–severity models: estimate claim counts and claim sizes separately, often using statistical distributions.
- Stochastic reserving: produces a distribution of reserve outcomes rather than a single estimate.
No method eliminates professional judgement. Changes in claims handling, inflation, policy wording, mix of business, legal precedent, reinsurance and data quality may invalidate historical patterns. Life insurance valuationLife liabilities may involve mortality, longevity, lapse, expenses, interest-rate guarantees, profit participation and embedded options. A simplified expected-value expression is: V0 = ∑[t=1 to T] E(Bt − Pt + Xt) ÷ (1 + rt)t V0 is the liability value at valuation date, Bt benefits, Pt future premiums recognised as offsets where permitted, and Xt expenses or other net cash outflows. The signs and inclusion rules must follow the applicable valuation standard. Mortality and lapse assumptions should be supported by experience studies, credible external data and appropriate margins. Uncertainty and risk adjustmentA best estimate is not necessarily sufficient for prudential purposes. A regulatory framework may add a risk margin, confidence margin, provision for adverse deviation or a capital requirement. These mechanisms address parameter uncertainty, model error, process risk and the cost of holding capital against adverse outcomes. They should not be double-counted: if a risk is already included conservatively in technical provisions, the capital model must recognise that treatment. Governance of valuationActuarial valuation requires: - documented data definitions and reconciliation to accounting records;
- controls over completeness, accuracy and claims development;
- independent review of assumptions and models;
- validation of material changes;
- clear treatment of expert judgement;
- back-testing against emerging experience; and
- communication of uncertainty to the board and supervisor.
The actuarial function should be sufficiently independent to challenge underwriting, reserving and pricing decisions. Independence does not remove accountability: senior management and the board remain responsible for the financial statements and risk framework. 3. Capital Adequacy and Solvency ModelsCapital is the financial resource available to absorb losses after liabilities have been valued. A basic solvency ratio is: Solvency Ratio = Available Solvency Capital ÷ Required Solvency Capital × 100% A ratio above the regulatory minimum indicates a capital surplus relative to the prescribed model, not a guarantee of safety. Interpretation requires attention to capital quality, fungibility, valuation basis, diversification assumptions and the sensitivity of the ratio to market conditions. Available capitalAvailable capital may be classified into tiers according to permanence, subordination, loss absorbency and availability. Common examples include ordinary share capital and retained earnings, while lower-quality forms may include subordinated debt or instruments with restrictions. Deductions may include intangible assets, inadmissible assets, own shares, foreseeable dividends and losses. Capital quality matters because nominal capital can be unavailable precisely when needed. Supervisors therefore impose limits on the amount of lower-quality capital that may count toward required capital. Required capitalRequired capital is intended to absorb unexpected losses over a specified confidence level and time horizon. A generic risk-based model may aggregate risk components: SCR = f(SCRmarket, SCRcredit, SCRunderwriting, SCRoperational) where SCR is the solvency capital requirement. The function f may be a prescribed correlation aggregation, an internal model, or a combination. It is not generally valid to add all components directly because some risks are imperfectly correlated; equally, diversification benefits should not be accepted without evidence that risks can actually offset one another in stress. A simple correlation aggregation form is: SCR = √(∑[i=1 to n] ∑[j=1 to n] ρij × SCRi × SCRj) SCRi and SCRj are component capital charges and ρij is the assumed correlation between components. The expression requires a valid correlation matrix and non-negative resulting variance. Correlations are estimates, not physical constants; they may rise sharply in crises. Standard formula and internal modelsA standard formula provides a consistent supervisory methodology using prescribed stresses, factors and correlations. Its advantages are comparability, transparency and lower implementation burden. Its limitations include possible misalignment with a particular insurer’s products, risk mitigation or catastrophe profile. An internal model estimates capital using the insurer’s own data, assumptions and risk structure, subject to supervisory approval and use-test requirements. It can better reflect complex guarantees, catastrophe concentrations and reinsurance, but it introduces model risk, validation costs, governance demands and potential underestimation. Many regimes use partial internal models or adjustments to a standard formula. Economic capital and regulatory capitalEconomic capital is the insurer’s internal estimate of capital required for its chosen risk appetite, often based on a specified loss probability and horizon. Regulatory capital is determined by law or supervisory rules. They may differ in confidence level, scope, valuation and treatment of diversification. Management should understand both rather than treating regulatory compliance as the complete definition of soundness. 4. Asset–Liability ManagementAsset–liability management (ALM) coordinates investment, product design, reserving and capital decisions so that assets remain suitable for the timing, currency, duration and risk characteristics of liabilities. Duration and interest-rate sensitivityFor a fixed-income instrument, modified duration provides an approximation of percentage price sensitivity to yield changes: ∆P ÷ P ≈ −Dmod × ∆y P is price, Dmod is modified duration in years and ∆y is the change in annual yield expressed as a decimal. The approximation assumes a relatively small parallel yield shift and ignores convexity. For larger or non-parallel shifts, key-rate duration and full revaluation are preferable. At portfolio level, duration mismatch can create economic losses even when accounting profit is initially unaffected. If asset duration is materially shorter than liability duration, falling interest rates may increase the present value of liabilities more than assets. If assets are longer, rising rates may reduce asset values more sharply. ALM must also address inflation, embedded options, currency mismatch, reinvestment risk and policyholder behaviour. Investment principlesPrudential investment regulation commonly applies the principles of: - safety: preservation of principal and credit quality;
- security and spread: avoidance of excessive issuer, group or geographic concentration;
- liquidity: ability to realise assets without unacceptable loss;
- yield: appropriate return for risk; and
- matching: consistency with liability characteristics.
Quantitative limits may restrict investment in particular asset classes, single issuers, related parties, unlisted assets, derivatives or foreign currencies. Such limits are useful safeguards, but compliance with a limit does not prove that an investment is prudent. A highly correlated portfolio can be risky even when each individual exposure is within its limit. Derivatives may be used for hedging, efficient portfolio management or replication, but they create counterparty, collateral, leverage, basis and legal risks. Governance should define permitted instruments, valuation sources, collateral rules and escalation triggers. 5. Liquidity and Cash-Flow RiskLiquidity risk is the risk that an insurer cannot meet obligations when due without unacceptable cost. Claims may surge after a catastrophe, policyholders may surrender contracts, collateral calls may arise, or assets may become difficult to sell. A practical liquidity assessment maps projected inflows and outflows by time bucket and stress condition. A simple liquidity coverage measure is: Liquidity Coverage Ratio = Eligible Liquid Resources ÷ Net Cash Outflows over Stress Horizon The numerator should include only assets that can realistically be monetised within the horizon, after haircuts, encumbrances and transaction costs. The denominator should reflect stressed claims, surrenders, expenses, collateral and other cash needs less reliable inflows. The ratio is meaningful only if the definitions and stress horizon are specified. Liquidity management should include a contingency funding plan, a minimum stock of high-quality liquid assets, diversified banking arrangements, collateral monitoring and clear escalation procedures. Reinsurance recoverables may support solvency but should not automatically be treated as immediately liquid, because collection can be delayed or disputed. 6. Stress Testing and Scenario AnalysisStress testing asks how the balance sheet would respond to specified adverse conditions. Scenario analysis is broader and may combine several linked changes, including management and policyholder behaviour. Examples include: - a rapid increase or decrease in interest rates;
- equity and property market falls;
- sovereign or corporate credit deterioration;
- severe catastrophe losses;
- high inflation and claims-cost escalation;
- mass lapse or surrender;
- reinsurer default;
- cyber disruption or operational outage; and
- a combined liquidity and market shock.
A useful stress-testing process is: - Define the objective, horizon and valuation date.
- Identify material risk drivers and dependencies.
- Specify shocks and behavioural assumptions.
- Revalue assets, liabilities, capital and liquidity.
- Assess second-round effects and management actions.
- Compare results with risk appetite, limits and supervisory thresholds.
- Decide whether mitigation, capital raising or business adjustment is required.
- Record assumptions, limitations and accountable owners.
Stress outcomes should be reported in absolute terms and relative terms, such as change in available capital, required capital, solvency ratio, liquidity resources and earnings. Reverse stress testing begins with a failure outcome—such as breaching the minimum capital requirement—and identifies combinations of events that could produce it. Stress tests are not forecasts. They are conditional analyses. Their value depends on credible scenarios, sound data, nonlinear revaluation and honest treatment of management actions. A scenario that is labelled “severe” but excludes contagion, policyholder behaviour or operational consequences may provide false reassurance. 7. ORSA and Enterprise Risk GovernanceThe Own Risk and Solvency Assessment is a forward-looking process through which an insurer identifies, assesses, monitors, manages and reports its own risks and solvency needs. It links strategy to risk capacity rather than merely reproducing the regulatory capital calculation. An effective ORSA normally addresses: - business strategy and risk appetite;
- material risks, including risks not fully captured in the regulatory formula;
- current and projected solvency position;
- capital management and dividend policy;
- liquidity and contingent funding;
- stress and reverse-stress testing;
- adequacy of reinsurance and other risk mitigation;
- data, model and governance limitations; and
- consistency between risk profile and regulatory capital.
The board should approve the risk appetite and challenge whether projected growth, pricing, investments and distributions are consistent with capital. Management should not treat ORSA as an annual compliance document. It should be refreshed when there is a major acquisition, product change, catastrophe, market dislocation, reinsurance failure or material change in assumptions. The three-lines model is useful but should not become a substitute for clear accountability. The first line owns risks; the second line provides independent risk oversight; the third line, internal audit, provides assurance on governance and controls. Actuarial, compliance, finance, investment and risk functions must exchange information rather than operate in silos. 8. Regulatory Reporting and Financial DataA sound prudential assessment uses both quantitative and qualitative data. Important indicators include: | Area | Illustrative indicators | Interpretation issues |
|---|
| Capital | Solvency ratio, capital surplus, tier composition | Quality, fungibility and volatility matter | | Reserving | Reserve development, loss ratio, reserve adequacy | Historical emergence may not predict structural change | | Underwriting | Premium growth, combined ratio, retention | Rapid growth may conceal weak pricing | | Investments | Duration, concentration, credit quality, unrealised losses | Market values and liquidity must be considered | | Liquidity | Liquid assets, cash-flow gaps, surrender experience | Asset eligibility and stress assumptions matter | | Reinsurance | Recoverables, counterparty quality, programme structure | Recovery may be delayed or legally contested |
For a non-life insurer, the combined ratio is commonly expressed as: Combined Ratio = Loss Ratio + Expense Ratio The loss ratio is incurred claims divided by an appropriate premium base, and the expense ratio is underwriting expenses divided by that base. A ratio below 100% indicates underwriting profit before investment income under consistent definitions. It does not by itself demonstrate solvency, because reserve strengthening, catastrophe volatility, investment losses and capital structure may dominate. Data should be reconciled across regulatory returns, audited accounts, actuarial reports, investment systems and general ledgers. Apparent improvement in a ratio may result from a change in valuation, reinsurance presentation or business mix rather than genuine risk reduction. 9. Supervisory Intervention and RecoverySupervision is commonly risk-based and proportionate. Supervisors may use off-site analysis, management meetings, targeted reviews, thematic inspections and stress-testing requests. Escalation generally reflects the seriousness and immediacy of the threat. Possible interventions include: - requiring a remediation or capital plan;
- restricting dividends, bonuses, new business or risky investments;
- requiring additional reserves or capital;
- directing changes to governance, controls or reinsurance;
- requiring enhanced reporting;
- appointing a monitor or special administrator where law permits; and
- commencing resolution, transfer, run-off or winding-up procedures.
Early intervention is usually less costly than waiting for capital depletion. Recovery and resolution planning should identify critical functions, policyholder communications, asset transfer obstacles, data requirements, dependencies and sources of emergency liquidity. Supervisory confidentiality must be balanced with transparency sufficient to preserve confidence and protect policyholders. 10. Illustrative Case: Meridian General InsuranceThis is a fictional applied case for educational purposes. BackgroundMeridian General Insurance writes commercial property and motor business. Its reported available solvency capital is 240 million currency units and its required capital is 160 million, giving: Solvency Ratio = 240 ÷ 160 × 100% = 150% The ratio exceeds the company’s internal target of 140%. Management proposes a rapid expansion in coastal property insurance and a special dividend of 30 million. ProblemA supervisory review identifies three concerns. First, Meridian’s catastrophe model uses a short historical record and may understate coastal accumulation. Second, its bond portfolio has duration of 6.2 years while the relevant liability portfolio has duration of 9.0 years. Third, 35% of reported liquid resources consists of reinsurance recoverables that historically take several months to collect. AnalysisThe headline ratio does not capture all vulnerabilities. A catastrophe stress reduces available capital by 70 million and increases required capital by 20 million because underwriting risk rises. The post-stress position is: Post-stress Available Capital = 240 − 70 = 170 million Post-stress Required Capital = 160 + 20 = 180 million Post-stress Solvency Ratio = 170 ÷ 180 × 100% ≈ 94.4% Meridian would breach a 100% minimum in this illustrative framework. The stress also assumes delayed reinsurance recoveries, so the capital result is accompanied by a liquidity shortfall. The proposed dividend would reduce available capital further and is therefore inconsistent with prudent capital management. The duration mismatch creates additional vulnerability. If yields fall by 1 percentage point, the approximate asset price effect, ignoring convexity, is: ∆P ÷ P ≈ −6.2 × (−0.01) = +6.2% However, the longer-duration liabilities may increase in present value by approximately 9%, subject to the liability cash-flow structure. The direction and magnitude of the net impact must be calculated using full revaluation rather than relying only on duration estimates. Approach and solutionThe board suspends the dividend and expansion until the ORSA is updated. Management undertakes a geospatial accumulation review, revises catastrophe assumptions, establishes a liquid-asset buffer excluding delayed recoverables, and considers catastrophe reinsurance and aggregate protection. The investment committee develops a staged duration and currency-matching plan. The actuarial function independently reviews reserves and model uncertainty. A reverse stress test identifies the catastrophe and market conditions that would cause a minimum-capital breach. OutcomeAfter mitigation, Meridian’s base-case ratio falls modestly because additional capital is held against catastrophe uncertainty, but the stressed ratio remains above the internal recovery threshold. The supervisor accepts the remediation plan subject to quarterly reporting and a prohibition on discretionary distributions until specified conditions are met. Learning points- A capital ratio is conditional on valuation, model and stress assumptions.
- Growth can increase required capital faster than premium income increases earnings.
- Reinsurance improves risk transfer but does not automatically solve liquidity risk.
- ALM requires attention to liabilities, not only investment returns.
- ORSA should influence decisions before a regulatory breach occurs.
11. Challenges, Ethics and Contemporary DevelopmentsModel and data riskCapital models may create an appearance of precision unsupported by data. Historical catastrophe samples are short, correlations are unstable, and behavioural assumptions can be uncertain. Boards should ask what would make a model wrong, which risks are excluded, and how results compare with simpler approaches. Fairness and policyholder impactCapital actions affect policyholders. Aggressive risk reduction may lead to withdrawal from vulnerable markets or unaffordable premiums. Conversely, underpricing and inadequate reserves transfer risk to policyholders, guaranty schemes and taxpayers. Decisions should consider vulnerable customers, access to insurance and the distributive effects of exclusion. Climate and emerging risksClimate change may affect physical hazards, transition risk, liability claims, asset values and insurability. Cyber risk can affect both operations and accumulation across insured portfolios. Artificial intelligence may improve claims triage, reserving and scenario generation, but it also introduces data bias, opacity, cyber exposure and model drift. AI used in prudential decisions requires validation, human oversight, documentation, monitoring and clear accountability. Best-practice principlesA financially sound insurer should: - maintain capital above the minimum with a buffer linked to risk appetite;
- value liabilities using current, credible and independently challenged assumptions;
- match assets and liabilities by duration, currency, liquidity and optionality;
- limit concentration and assess correlated exposures;
- integrate reinsurance, investment, underwriting and operational risks;
- perform regular stress and reverse-stress testing;
- maintain a living ORSA connected to strategic decisions;
- reconcile regulatory, actuarial and accounting data; and
- escalate deterioration promptly to the board and supervisor.
Chapter SummaryPrudential regulation protects policyholders by requiring insurers to maintain adequate technical provisions, capital, liquidity and governance. Technical provisions estimate future insurance cash flows and must reflect uncertainty, options, expenses, inflation and data limitations. Available capital must be assessed for quality and availability, while required capital should reflect underwriting, market, credit, operational and other material risks. Solvency ratios are useful but conditional indicators. They must be interpreted with attention to valuation bases, model assumptions, diversification, capital quality and stress sensitivity. ALM links investment decisions to liability duration, currency, liquidity and optionality. Investment limits are safeguards, not substitutes for risk analysis. Stress testing and scenario analysis reveal vulnerabilities that a base-case ratio may conceal, while ORSA integrates capital management with strategy and risk appetite. Effective supervision combines quantitative reporting with governance assessment, actuarial challenge, data reconciliation and timely intervention. Financial soundness is therefore not a single number; it is the result of credible valuation, resilient capital, liquid resources, disciplined risk management and accountable decision-making. Key TermsAsset–liability management: Coordinated management of assets and liabilities to control financial, liquidity and mismatch risks. Available capital: Financial resources recognised as available to absorb losses under the applicable regulatory basis. Best-estimate liability: Expected present value of future insurance cash flows before any separate risk margin. Capital adequacy: The extent to which available capital is sufficient for the risks undertaken. Combined ratio: Loss ratio plus expense ratio in non-life insurance. Economic capital: Internally assessed capital required for an insurer’s chosen risk profile and confidence standard. Liquidity risk: Risk of being unable to meet obligations when due without unacceptable loss. Loss ratio: Incurred claims expressed relative to an appropriate premium or exposure base. ORSA: Own Risk and Solvency Assessment, a forward-looking insurer-led assessment of risk and solvency needs. Policyholder protection: Prudential objective of ensuring that valid insurance obligations can be met. Required solvency capital: Regulatory capital amount prescribed or calculated for the insurer’s risks. Reverse stress test: Analysis beginning with a failure or breach outcome and identifying conditions that could cause it. Risk margin: Additional amount intended to reflect uncertainty or the cost of bearing non-hedgeable risk, depending on the regime. Solvency ratio: Available solvency capital divided by required solvency capital, expressed as a percentage. Stress test: Conditional analysis of the effect of specified adverse events on financial condition. Technical provisions: Regulatory or actuarial provisions representing insurance obligations. Underwriting risk: Risk arising from pricing, selection, claims, catastrophe and other insurance-related uncertainty. Valuation basis: Rules, assumptions and measurement principles used to value assets and liabilities. Review QuestionsShort Answer Questions- Why are solvency and liquidity distinct prudential concepts?
- What is the purpose of a risk margin or uncertainty margin?
- Identify three factors that may make a solvency ratio misleading.
- What is the principal purpose of ORSA?
- Why can reinsurance recoverables fail to provide immediate liquidity?
Long Answer Questions- Explain the structure of a risk-based solvency framework, including technical provisions, available capital and required capital.
- Compare standard-formula and internal-model approaches to solvency assessment.
- Discuss how asset–liability management addresses duration, currency, liquidity and policyholder-option risks.
- Explain the actuarial and governance controls required for reliable technical-provision valuation.
- Evaluate the role of supervisory intervention, recovery planning and resolution in protecting policyholders.
Analytical / Application Questions- An insurer has available capital of 360 million and required capital of 240 million. A stress reduces available capital by 90 million and increases required capital by 30 million. Calculate the stressed solvency ratio and interpret the result.
- An insurer’s assets have modified duration of 4 years and its liabilities have effective duration of 8 years. Analyse the likely direction of the balance-sheet effect of a 1% fall in yields, stating why a full revaluation may still be required.
- Design a combined stress scenario for a property insurer involving catastrophe loss, inflation, reinsurance delay and asset-market deterioration. Specify the principal variables, management actions and indicators that should be reported to the board.
Multiple Choice Questions with AnswersQuestion 1Which statement best describes a solvency ratio? A. It measures only the insurer’s annual underwriting profit. B. It compares available solvency capital with required solvency capital. C. It measures the percentage of premiums collected in cash. D. It compares liquid assets with total investments. Correct Answer: B. It compares available solvency capital with required solvency capital. Question 2In the simplified discounted-cash-flow formula for a best-estimate liability, what does r_t represent? A. The claim frequency at time t B. The expense ratio at time t C. The effective discount rate for the relevant maturity D. The regulatory capital charge at time t Correct Answer: C. The effective discount rate for the relevant maturity Question 3An insurer has available capital of 300 million and required capital of 200 million. Its solvency ratio is: A. 50% B. 100% C. 150% D. 200% Correct Answer: C. 150% Question 4Which is a principal limitation of the chain-ladder reserving method? A. It cannot use historical claims data. B. It assumes that development patterns are sufficiently informative for projection. C. It can be used only for life insurance mortality valuation. D. It automatically includes all future catastrophe losses. Correct Answer: B. It assumes that development patterns are sufficiently informative for projection. Question 5A fall in yields will generally increase the value of a fixed-income asset. Using the duration approximation, the effect is represented by: A. ∆P ÷ P ≈ D_mod × ∆y B. ∆P ÷ P ≈ −D_mod × ∆y C. ∆P ÷ P ≈ D_mod ÷ ∆y D. ∆P ÷ P ≈ ∆y ÷ D_mod Correct Answer: B. ∆P ÷ P ≈ −D_mod × ∆y Question 6Which statement about investment limits is most accurate? A. Compliance with every limit guarantees that the portfolio is prudent. B. Investment limits eliminate market and liquidity risk. C. Investment limits are safeguards but do not replace analysis of concentration and correlation. D. Investment limits apply only to life insurers. Correct Answer: C. Investment limits are safeguards but do not replace analysis of concentration and correlation. Question 7What is the principal purpose of reverse stress testing? A. To calculate the average historical claims ratio B. To identify conditions that could produce a specified failure or breach outcome C. To replace the regulatory capital calculation D. To determine the insurer’s marketing budget Correct Answer: B. To identify conditions that could produce a specified failure or breach outcome Question 8Which item should generally be included in a liquidity stress assessment? A. Only ordinary-course premium inflows B. Only assets reported at book value C. Stressed claims, surrender payments and collateral needs D. Only long-term illiquid investments Correct Answer: C. Stressed claims, surrender payments and collateral needs Question 9What distinguishes ORSA from a purely mechanical regulatory capital calculation? A. ORSA links the insurer’s own risk profile, strategy and solvency needs. B. ORSA ignores risks not included in financial statements. C. ORSA is prepared only by external auditors. D. ORSA applies only after insolvency. Correct Answer: A. ORSA links the insurer’s own risk profile, strategy and solvency needs. Question 10In the Meridian illustrative case, post-stress available capital was 170 million and required capital was 180 million. The post-stress solvency ratio was approximately: A. 84.4% B. 94.4% C. 105.9% D. 111.8% Correct Answer: B. 94.4%
|