From a List of Actions to a Decision
An insurer facing a capital shortfall may consider retaining risk, purchasing reinsurance, issuing a catastrophe bond, raising capital, or changing its portfolio. The difficult part is not listing these possibilities. It is deciding among them when each changes a different mix of capital, risk, liquidity, cost, timing, and strategic position. A decision is only sound if those effects are assessed against the same objective and the same constraints.
The framework here begins with the enterprise’s required outcome, such as restoring a minimum solvency position by a stated date. It then separates feasibility from preference. A low-cost action that cannot meet the required solvency level is not a candidate for selection; an action that meets every binding constraint can be compared with other feasible choices using the stated objective. This is aligned with the CAS Exam 9 (Risk Management for Actuaries) syllabus.
Set the Objective and Constraints First
The objective states what management is trying to optimize. Examples include minimizing the cost of restoring a target solvency position, preserving underwriting capacity, or limiting the probability of breaching a risk appetite threshold. These are not interchangeable objectives. A choice that minimizes near-term cost might reduce future flexibility; a choice that preserves capacity might not minimize cost. The decision record should state which objective governs and over what horizon.
Constraints are requirements an action must satisfy, not benefits to be traded away casually. They may include a minimum stressed capital coverage ratio, minimum available liquidity, a legal or regulatory requirement, a counterparty limit, or a deadline by which the action must be effective. Other considerations—such as operational complexity or the preference to avoid issuing shares—may be ranking criteria rather than hard constraints. The distinction must be explicit: if a requirement is described as binding, an action that fails it is infeasible.
For a simple capital coverage measure, let \(A\) denote available capital after the specified stress and action, and let \(K\) denote required capital on the same basis. When \(K>0\), the coverage ratio is \(A/K\). If the required minimum ratio is \(r\), the constraint is \(A/K \ge r\). It is useful to express this as a capital amount:
The equivalence follows by multiplying both sides of the ratio inequality by \(K\), which is positive. The resulting test makes clear that both sides matter: an action can improve coverage by increasing available capital, reducing required capital, or doing both. An apparent ratio improvement does not by itself establish feasibility if liquidity or another constraint fails.
Evaluate Actions on a Common Decision Basis
A consistent evaluation does not mean that every consequence can be reduced to one number. It means that each alternative is assessed using the same scenarios, time horizon, definitions, and decision date wherever those are relevant. For example, capital amounts should correspond to the same stress and valuation date; liquidity should be assessed over the same stress horizon; and costs should use the same stated horizon and treatment of one-time expenses.
The action categories have different mechanisms and implementation risks:
- Retention avoids a transfer premium or transaction but leaves the enterprise exposed to the retained loss and its capital and liquidity consequences.
- Reinsurance transfers specified contractual losses in exchange for a premium, subject to contract terms, recoverability, counterparty exposure, and timing of cash flows.
- Securitization, such as a hypothetical catastrophe bond, may transfer defined event risk to capital-market investors. Trigger design, basis risk, issuance execution, and collateral arrangements can affect whether the intended protection is available.
- Capital raising can increase available resources, but depends on market access, transaction completion, investor terms, and whether proceeds arrive before the required date.
- Portfolio changes can alter the amount or mix of risk written. Their effects depend on execution, contract run-off, and any resulting changes in earnings, required capital, and business concentration.
These descriptions are hypothetical decision categories, not claims about a particular insurer or transaction. For each action, record the expected effect, the assumptions supporting it, and the conditions that could prevent delivery. In particular, distinguish an action that is contractually committed and available under stress from one that is merely planned or dependent on favorable market conditions.
State the decision date, evaluation horizon, stressed scenarios, objective, and required outcome.
Specify solvency, liquidity, legal, counterparty, timing, and operational requirements. Label each as binding or as a preference.
For every action or package, test each binding constraint using its own relevant measure and stated assumptions.
Apply the declared objective and explain important trade-offs that are not captured by the primary measure.
Assign an owner, specify completion milestones and fallback actions, and monitor whether the assumptions and constraints remain valid.
Worked Decisions
Worked Example: Select an Action Under Solvency and Liquidity Limits
A hypothetical insurer must meet a stressed coverage ratio of at least 120% and retain at least $40 million of stressed liquidity. Management’s objective is to minimize the stated one-year total cost among actions meeting both requirements. All amounts below are hypothetical and in millions of dollars; the supplied cost figures are already stated on the same one-year basis.
Method. Calculate coverage as available capital divided by required capital, screen each option against both constraints, and compare costs only for options that pass. The common mistake this method avoids is choosing the cheapest action before testing feasibility.
| Option | Available capital | Required capital | Liquidity | One-year cost |
|---|---|---|---|---|
| Retain | $660 | $600 | $55 | $0 |
| Reinsurance | $700 | $560 | $42 | $24 |
| Capital raise | $760 | $600 | $70 | $35 |
| Portfolio change | $675 | $570 | $48 | $18 |
The minimum capital amounts corresponding to the 120% target are:
The coverage ratios are \(660/600=110.00\%\), \(700/560=125.00\%\), \(760/600=126.67\%\), and \(675/570=118.42\%\), respectively. Retention and the portfolio change fail the solvency constraint. All four options meet the liquidity minimum, but that does not repair either solvency failure. Reinsurance and the capital raise are feasible. Their costs are $24 million and $35 million, so the framework selects reinsurance under the stated objective. The check is that the selected option has \(700-1.20(560)=28\) million of capital above the target amount and \(42-40=2\) million of liquidity above the minimum.
Worked Example: A Lower-Cost Plan Misses the Deadline
A hypothetical insurer needs stressed coverage of at least 120%, liquidity of at least $30 million, and an effective action within three months. Its objective is to minimize stated implementation cost among actions satisfying all three requirements. Option data are: a capital raise produces available capital of $610 million, required capital of $480 million, liquidity of $38 million, and cost of $28 million; a portfolio change produces $590 million, $480 million, $34 million, and $17 million, respectively, but requires six months to implement. A reinsurance placement produces $585 million, $480 million, $26 million, and costs $20 million.
Method. Test the three constraints independently for each option before ranking. This avoids treating capital coverage alone as proof that a plan can be delivered.
The target capital amount is \(1.20(480)=576\) million. The capital raise has coverage \(610/480=1.2708\), or 127.08%; it also has $38 million of liquidity and meets the three-month deadline, so it is feasible. The portfolio change has coverage \(590/480=122.92\%\) and $34 million of liquidity, but its six-month implementation time exceeds the deadline. It is infeasible despite passing the financial tests. Reinsurance has coverage \(585/480=121.875\%\), but $26 million of liquidity is below the $30 million minimum, so it is also infeasible.
Only the capital raise passes every stated constraint, so it is selected even though its cost exceeds the portfolio change’s cost. The check is that the chosen action’s capital exceeds the target by \(610-576=34\) million, while its liquidity exceeds the minimum by \(38-30=8\) million and it completes within three months. A lower-cost action that fails a binding deadline is not a feasible alternative.
Worked Example: Test a Combined Plan Rather Than Adding Standalone Results
A hypothetical insurer has stressed available capital of $700 million and required capital of $620 million. It must achieve at least 120% coverage and retain at least $30 million of liquidity. Management seeks the lowest-cost feasible plan. The supplied, hypothetical evaluations already reflect interactions within each listed plan: retention has cost $0 and liquidity $50 million; reinsurance alone has available capital $735 million, required capital $600 million, liquidity $34 million, and cost $22 million; a portfolio change alone has $725 million, $600 million, $45 million, and cost $18 million; and the combined reinsurance-plus-portfolio plan has $750 million, $565 million, $28 million, and cost $32 million.
Method. Evaluate each complete plan using its supplied results, then apply the constraints and objective. The common mistake is to assume the combined plan’s effects equal the sum of standalone effects, or to select it because it has the largest capital ratio.
Retention has coverage \(700/620=112.90\%\), so it fails. Reinsurance alone has coverage \(735/600=122.50\%\) and liquidity of $34 million; it is feasible at a cost of $22 million. The portfolio change alone has coverage \(725/600=120.83\%\) and liquidity of $45 million; it is feasible at a cost of $18 million. The combined plan has coverage \(750/565=132.74\%\), but its $28 million liquidity is below the $30 million minimum, so it fails a binding constraint.
The portfolio change alone is the lowest-cost feasible plan. As a final check, its capital exceeds the 120% target amount \(1.20(600)=720\) by $5 million, and its liquidity exceeds the minimum by $15 million. The combined plan’s stronger coverage does not make it acceptable when it breaches the liquidity requirement. The supplied combined-plan figures are used as a complete evaluation rather than inferred by adding the standalone results.
Interpretation, Governance, and Common Traps
A framework produces a decision only when the inputs are credible and the action can be delivered. Assess whether protection responds to the stressed event as assumed; whether a counterparty, investor, or market remains available in that scenario; whether cash arrives in time; and whether management has authority and operational capacity to execute. Earlier material on scenario governance and independent challenge is relevant here: assumptions should be challenged, and material dependencies should be visible to decision-makers.
If several actions pass the constraints, the declared objective determines the ranking. If none passes, management should not hide the shortfall by substituting an unapproved target or by reporting only the best ratio. It should identify the failed requirements, consider whether a credible alternative or package can address them, and escalate any proposed change to the constraints through the appropriate governance process.
- Ranking before screening: A low premium, low transaction cost, or strong ratio is not enough if another binding condition fails.
- Focusing on the numerator: A capital action can change both available capital and required capital. Test the resulting ratio and the capital amount implied by the target.
- Ignoring liquidity: Capital coverage does not guarantee cash is available when claims, collateral, or other payments fall due.
- Assuming planned actions are certain: Record timing, approvals, market access, contract conditions, and fallback plans rather than treating execution as automatic.
- Adding standalone estimates without support: Interactions may change a package’s result. Use a package evaluation that reflects those interactions, or state and justify any additivity assumption.
Check Your Understanding
For each original hypothetical decision, apply the stated constraints before selecting or assessing an action.
- A company has stressed available capital of $840 million and required capital of $700 million. Its minimum coverage target is 115%. Calculate the target capital amount and the excess or shortfall, then state whether it passes. (Answer: Target capital is $805 million; excess is $35 million, so it passes.)
- A hypothetical insurer requires 125% coverage and at least $25 million of liquidity. Plan A has available capital $520 million, required capital $400 million, liquidity $24 million, and cost $9 million. Plan B has $525 million, $420 million, $30 million, and cost $13 million. Plan C has $550 million, $440 million, $27 million, and cost $15 million. If cost is minimized, which plan is feasible and selected? (Answer: Plan B only; its coverage is 125.00%, liquidity is $30 million, and cost is $13 million.)
- A hypothetical capital action has available capital $690 million and required capital $560 million, but the deadline is two months and the action takes three months. The target is 120%, liquidity is $40 million, and the action would provide $45 million of liquidity. Calculate coverage and decide whether it is feasible. (Answer: Coverage is \(690/560=123.21\%\), but the action is infeasible because it misses the deadline.)
- A portfolio action has available capital $610 million, required capital $500 million, liquidity $36 million, and cost $16 million. A combined plan has $650 million, $520 million, $29 million, and cost $20 million. With a 120% coverage target and $30 million liquidity minimum, which is the lower-cost feasible choice? (Answer: The portfolio action; its coverage is 122.00% and liquidity is $36 million. The combined plan has 125.00% coverage but fails the liquidity constraint.)
- Two plans meet all hard constraints. Plan X costs $12 million under the stated one-year objective and has more implementation steps; Plan Y costs $15 million and has fewer steps. The objective is to minimize one-year cost, and implementation steps are a preference rather than a binding limit. Which plan ranks first, and what should still be documented? (Answer: Plan X ranks first under the stated objective; document its implementation risks, owners, milestones, assumptions, and fallback plan.)