How Facultative-Obligatory Covers Work
A reinsurance arrangement can give the cedent flexibility to choose individual risks while requiring the reinsurer to accept those that meet agreed conditions. This structure can help a cedent manage selected exposures without sending every risk in a portfolio to the same reinsurer. It also creates a selection issue: the cedent may have better information about which risks it chooses to cede than the reinsurer does.
The defining feature is the difference between the parties’ choices. The cedent may choose whether to submit or cede a risk. The reinsurer, in turn, has an obligation to accept a risk only when the contract’s eligibility and submission conditions are met. The arrangement is not a promise to accept every risk the cedent chooses, regardless of its terms.
The distinction from fully facultative reinsurance is who holds the acceptance choice: in a facultative placement, the reinsurer generally considers each offered risk and may accept or reject it. In a facultative-obligatory arrangement, the reinsurer’s choice is constrained for risks that qualify under the agreed terms. Unlike an arrangement that automatically covers all risks in a defined portfolio, this structure leaves the cedent with a choice about which qualifying risks to cede.
The contract must therefore make “eligible” operational. It may specify classes of business, geographic boundaries, maximum risk size, required information, exclusions, and a deadline or process for declaring a selected risk. Whether a condition is satisfied depends on the actual wording. In particular, a maximum risk size might make a risk ineligible altogether, or it might limit the amount that can be ceded. Those are different contract designs; do not assume one when the wording states the other.
How to Test the Contract and Calculate a Recovery
A recovery calculation should follow the contract in order. First determine whether the cedent selected the risk and whether the risk meets the eligibility conditions. Next establish whether any required submission or notice condition was satisfied and whether the reinsurer is consequently obligated to accept the cession. Only then calculate the recovery using the stated coverage terms.
Determine whether the cedent chose to cede the particular risk and what portion it chose to cede.
Compare the risk with the stated class, territory, size, exclusions, and documentation requirements. Apply the exact meaning of any cap or limit.
Check any deadline, notice method, or information requirement. A missed condition may remove the reinsurer’s automatic acceptance obligation, but does not by itself establish what the reinsurer did next.
Apply the stated cession share to the covered loss, subject to any other stated contract terms.
For a simple proportional example, suppose an accepted risk has a covered loss \(X\), and the treaty cedes a fixed fraction \(c\) of each covered loss. The recovery is \(cX\), and the cedent’s retained part of that covered loss is \((1-c)X\). This calculation assumes the loss is covered, the cession is validly accepted, and there is no stated limit, exclusion, or other adjustment that changes the payment.
Worked Example: A Timely Cession Within the Stated Risk Cap
Method. Test selection, eligibility, and notice before applying the proportional share. Assume a hypothetical facultative-obligatory cover applies to commercial property risks with sums insured no greater than $2,000,000. For an eligible risk selected by the cedent and declared within 15 days of binding, the reinsurer must accept a 35% cession. The contract shares covered losses in the same proportion, with no additional limit or exclusion. The cedent selects a risk with a sum insured of $1,600,000, declares it on day 12, and later has a covered loss of $280,000.
Step 1: Selection. The cedent chose to cede this risk, so the election condition is met.
Step 2: Eligibility. The sum insured is $1,600,000, which is below the $2,000,000 maximum. The risk is assumed to be in the stated class and to satisfy all other requirements.
Step 3: Notice. Day 12 is within the 15-day deadline. The contract therefore obliges the reinsurer to accept the 35% cession.
Step 4: Recovery and retained loss. The recovery is \(0.35\times \$280,000=\$98,000\). The cedent retains \(0.65\times \$280,000=\$182,000\). Check: \(\$98,000+\$182,000=\$280,000\), the full covered loss.
The common mistake avoided here is calculating a recovery as soon as a cession percentage appears in the problem. The percentage applies only after the stated eligibility and notice conditions establish the reinsurer’s acceptance obligation.
Contract Terms Constrain Selection
Because the cedent chooses which risks to cede, it could select risks that it expects to perform worse than the risks it retains. The reinsurer’s acceptance obligation does not remove that incentive. Contract terms can constrain selection by defining eligible classes and territories, setting size criteria, requiring relevant underwriting information, specifying when and how selected risks must be declared, and excluding particular exposures. Reporting and audit provisions can also help the reinsurer check that submitted risks were described and classified as required.
These conditions have to be read together. A risk may satisfy the class definition but fail a size requirement. A risk may satisfy both but miss a submission deadline. Conversely, a condition that removes automatic acceptance does not necessarily state that the reinsurer refused the risk: the contract may allow separate acceptance, or the parties may otherwise agree to cover it. The facts must establish that outcome before a recovery can be determined.
Worked Example: A Risk Above a Threshold and a Risk Below It
Method. Apply the cap exactly as stated before calculating any recovery. Assume a hypothetical cover applies only to inland-transit risks with a sum insured of no more than $1,800,000. The contract states that a risk above this threshold is not eligible for automatic acceptance; it does not say that the excess portion alone is ceded. For an eligible, timely declared risk, the reinsurer must accept a 40% cession, and covered losses are shared in that proportion. Both risks below are in the stated class and are declared on time.
Risk A. Its sum insured is $1,720,000, so it is within the threshold. Its covered loss is $250,000. The risk is eligible, selected, and timely declared; therefore, the automatic acceptance obligation applies. Recovery: \(0.40\times \$250,000=\$100,000\). The cedent retains \(0.60\times \$250,000=\$150,000\). Check: \(\$100,000+\$150,000=\$250,000\).
Risk B. Its sum insured is $1,950,000, which exceeds the $1,800,000 eligibility threshold. It does not qualify for automatic acceptance under the stated terms. Although its covered loss is $400,000, the information does not say whether the reinsurer separately accepted it. Therefore, the recovery cannot be determined from these facts. If it was not accepted, the recovery under this cover is $0; if it was separately accepted on the stated 40% proportional basis, the recovery would be \(0.40\times \$400,000=\$160,000\).
The common mistake avoided is treating a threshold stated as an eligibility condition as though it automatically creates a cession for the amount above the threshold. The contract here makes the whole risk ineligible for automatic acceptance; it does not define an excess portion to cede.
Selection and Expected Loss
The effect of selection can be shown by comparing the risks ceded with the risks available. This does not require a detailed model of aggregate losses: it is enough to calculate expected ceded losses using the stated expected loss for each risk and the applicable share. The comparison illustrates why the reinsurer needs to understand the cedent’s selection rights when assessing the arrangement.
Worked Example: The Expected Effect of Selective Cession
Method. Compare the cedent’s chosen risk with a hypothetical random choice from the same eligible portfolio. Assume three hypothetical eligible risks have expected annual covered losses of $20,000, $50,000, and $100,000. The cedent may select one risk, and the reinsurer must accept it under the contract. The cession is 50% of covered losses. Ignore expenses and assume the stated expected losses already reflect the relevant coverage.
Step 1: Expected recovery when the highest-expected-loss risk is selected. The cedent selects the risk with expected loss $100,000. Expected recovery is \(0.50\times \$100,000=\$50,000\).
Step 2: Expected recovery if one of the three risks were selected at random. The average expected loss is \((\$20,000+\$50,000+\$100,000)/3=\$170,000/3=\$56,666.67\), rounded to the nearest cent. The corresponding expected recovery is \(0.50\times \$56,666.67=\$28,333.34\), rounded to the nearest cent. Using the unrounded average gives \(\$28,333.33\) to the nearest cent; thus the exact calculation is \(0.50\times \$170,000/3=\$28,333.33\).
Step 3: Compare. Relative to random selection, the expected recovery is higher by \(\$50,000-\$28,333.33=\$21,666.67\). Check: the selected risk has the largest expected loss, and the 50% cession makes the expected recovery half that amount.
This comparison is illustrative, not a claim that selection will always be based on expected loss alone. The common mistake is to price or assess a selectively ceded risk as if it were necessarily an average risk from the eligible portfolio.
Common Trap: Late Notice Does Not Prove Rejection
Consider a hypothetical contract that requires notice within 10 days of binding and states that late submissions are not eligible for automatic acceptance. A cedent elects to cede 30% of an eligible risk with a $500,000 covered loss, but gives notice on day 12. The late submission does not meet the condition for the reinsurer’s automatic acceptance obligation. The stated facts do not establish whether the reinsurer separately accepted the risk.
Wrong calculation: \(0.30\times \$500,000=\$150,000\), followed by the assertion that the recovery is $0 because notice was late. Both conclusions overreach: the first assumes acceptance, and the second assumes rejection.
Correction: The recovery cannot be determined without knowing whether the reinsurer separately accepted the late submission. If it did accept the risk on the stated proportional terms, the recovery would be \(0.30\times \$500,000=\$150,000\). If it did not accept the risk, the recovery under this cover would be $0. The contract’s loss of automatic acceptance is not itself proof of either outcome.
This distinction is important whenever a question gives a consequence for noncompliance but does not say what happened afterward. State what follows from the wording, then identify any missing fact needed for a recovery calculation.
Check Your Understanding
For each problem, apply the stated contract conditions before calculating or concluding whether a recovery is known.
- A hypothetical facultative-obligatory cover accepts eligible, timely declared risks at a 25% proportional share. A selected risk meets all conditions and has a covered loss of $360,000. What are the recovery and the cedent’s retained covered loss? (Answer: Recovery $90,000; retained loss $270,000.)
- A cover provides automatic acceptance only for risks with a sum insured no greater than $1,250,000, and does not provide for ceding only an excess portion. A selected risk has a sum insured of $1,300,000 and a covered loss of $200,000. What can be concluded about automatic acceptance and the recovery? If separately accepted at 20%, what would the recovery be? (Answer: It is not eligible for automatic acceptance, so the recovery cannot be determined without knowing whether it was separately accepted; if accepted at 20%, recovery is $40,000.)
- Three hypothetical eligible risks have expected covered losses of $12,000, $30,000, and $78,000. The cedent selects the risk with the highest expected loss for a 40% proportional cession. What is expected recovery for that choice, and what would expected recovery be if one risk were selected uniformly at random? (Answer: Selected risk, $31,200; random selection, \(0.40\times(\$120,000/3)=\$16,000\).)
- A contract requires notice within 7 days and states that late submissions are not eligible for automatic acceptance. An otherwise eligible selected risk is declared on day 8 and has a covered loss of $90,000. What is established about the reinsurer’s obligation, and can the recovery be determined? (Answer: The reinsurer has no automatic acceptance obligation under the stated condition; the recovery cannot be determined without knowing whether it separately accepted the risk.)
- A hypothetical cover applies only to marine risks with sums insured no greater than $900,000. Eligible, timely declared risks are ceded at 20% of covered losses. A marine risk with a sum insured of $800,000 has a covered loss of $125,000; a property risk with the same sum insured and loss is also submitted on time. What follows for each risk? (Answer: The marine risk qualifies and has a $25,000 recovery; the property risk is outside the stated eligible class and is not automatically accepted.)