Stop-Loss Insurance: Specific and Aggregate
How stop-loss insurance protects self-insured employers and the actuarial methods for pricing it.
Types of Stop-Loss Coverage
Stop-loss insurance protects self-insured employers from unexpectedly high health claims. Specific (individual) stop-loss reimburses the employer when any single employee's claims exceed a specified deductible (attachment point) during the policy period. Aggregate stop-loss reimburses the employer when total plan claims exceed a specified percentage (typically 120% to 125%) of expected claims. Many self-insured employers purchase both types for comprehensive protection against both individual catastrophic claims and adverse overall experience.
The specific stop-loss deductible depends on the employer's risk tolerance and financial capacity, with common levels ranging from $50,000 to $500,000 or more per individual. Lower deductibles provide more protection but cost more in premium. Higher deductibles reduce premium costs but expose the employer to greater financial risk from large individual claims. The choice of deductible level is a fundamental risk management decision that actuaries help employers evaluate by modeling the expected frequency and severity of claims above various attachment points.
Specific Stop-Loss Pricing
Pricing specific stop-loss requires modeling the distribution of individual claims, particularly the tail beyond the attachment point. Actuaries estimate the expected claims above the deductible using historical large claim data, trend assumptions, and leveraging factors that adjust for different deductible levels. The severity distribution of large claims is critical to pricing accuracy. Common distributional models include lognormal, Pareto, and mixed exponential distributions, each with different implications for the expected cost in the excess layer.
Leveraging factors quantify how the expected excess claims change as the deductible level changes. For example, if the expected excess claims above a $100,000 deductible are known, a leveraging factor can estimate the expected excess claims above a $150,000 or $200,000 deductible. These factors are derived from the fitted severity distribution and reflect the shape of the claim size distribution in the tail. Because leveraging factors are sensitive to the distributional assumptions, actuaries often test multiple distributional models and use judgment to select the most appropriate one based on goodness-of-fit tests and reasonableness checks.
The trend assumption is particularly important for specific stop-loss because medical cost inflation affects large claims disproportionately. A $100,000 specific deductible set today will be penetrated by more claims next year if medical costs increase, even if the underlying health of the population remains unchanged. Actuaries apply trend factors to both the frequency of claims exceeding the deductible and the expected severity of those excess claims. The leveraged trend (the effective trend in the excess layer) is typically higher than the overall medical trend because inflation pushes more claims above the fixed deductible level.
Aggregate Stop-Loss Pricing
Aggregate stop-loss pricing involves projecting total expected claims for the employer's plan and modeling the variance around that expectation. The aggregate attachment point is typically set at 120% to 125% of expected claims, meaning the employer bears all claims up to that threshold and the stop-loss carrier pays for claims exceeding it. The actuarial challenge is estimating the probability and expected magnitude of total claims exceeding the attachment point.
The distribution of aggregate claims depends on the number of covered members, the distribution of individual claim sizes, and the correlation between individual claims. For a large group, the central limit theorem suggests that aggregate claims will be approximately normally distributed, simplifying the calculation. For smaller groups, the distribution may be significantly skewed, requiring more sophisticated modeling approaches such as compound distribution models (combining a frequency distribution with a severity distribution) or simulation.
Key assumptions in aggregate stop-loss pricing include the expected claims per member, the variance of individual claim sizes, the number of enrolled members and their demographic characteristics, plan design features, and the medical cost trend. Changes in enrollment during the policy period affect both the expected aggregate claims and the attachment point (which is typically adjusted proportionally to enrollment changes). Actuaries must also consider the interaction between specific and aggregate stop-loss: claims paid by the specific carrier reduce the employer's retained claims and therefore reduce the probability of triggering the aggregate coverage.
Lasering and Known Claimants
Lasering is the practice of setting a higher specific deductible for individuals with known high-cost conditions. For example, if a group has an employee currently undergoing cancer treatment with projected annual claims of $500,000, the stop-loss carrier might set a $600,000 specific deductible for that individual while maintaining a $100,000 deductible for all other members. This effectively excludes the known high-cost claimant from the specific stop-loss coverage while keeping the rest of the group covered at the standard deductible level.
Lasering is controversial because it removes coverage precisely when it is most needed. Critics argue that it undermines the purpose of stop-loss insurance by excluding predictable large claims. Proponents contend that insuring known, ongoing high-cost conditions at standard deductible levels is not insurance (which covers uncertain future events) but rather prepayment of expected costs. Some states have enacted legislation restricting or prohibiting lasering practices. Actuaries must be aware of the regulatory environment in each state and price accordingly, building the expected cost of known high-cost claimants into the standard premium when lasering is not permitted.
Contract Terms and Provisions
Stop-loss contracts contain several important provisions that affect pricing and coverage. The contract basis determines how claims are attributed to the policy period. Paid claims contracts cover claims paid during the policy period regardless of when the services were incurred. Incurred claims contracts cover claims for services rendered during the policy period regardless of when they are paid. The choice of contract basis affects the development pattern and the terminal liability when coverage ends or the employer changes carriers.
Run-in and run-out provisions address the transition between policy periods or carriers. Run-in coverage extends the new policy to cover claims incurred before its effective date but paid during the policy period. Run-out coverage extends the expiring policy to cover claims incurred during its term but paid after expiration. These provisions prevent gaps in coverage during carrier transitions but add complexity to the pricing analysis, as the actuary must estimate the claims that will fall into these transitional periods.
Aggregating specific provisions set an additional cap on the total amount of specific stop-loss claims the carrier will pay in a policy period. This protects the carrier against the scenario where multiple members each exceed the specific deductible in the same year, generating aggregate specific claims that exceed the premium collected. This provision effectively converts the specific stop-loss into a combination of specific and aggregate coverage from the carrier's perspective.
Market Dynamics and Trends
The stop-loss market has grown as more employers, including smaller ones, have moved to self-insured arrangements. This growth has been driven by the desire to avoid certain ACA requirements that apply to fully insured plans, the ability to customize plan designs, and the potential for cost savings when claims experience is favorable. The expansion of the self-insured market has increased demand for stop-loss coverage and attracted new carriers, intensifying competition and putting downward pressure on premiums in some market segments.
High-cost specialty drugs, gene therapies, and cell therapies have had a significant impact on stop-loss pricing. Individual claims exceeding $1 million are becoming more common as treatments like CAR-T cell therapy (with list prices exceeding $500,000) and gene therapies for rare diseases become available. These high-cost claims increase both the expected cost of specific stop-loss and the uncertainty around that expectation, driving adjustments in pricing, deductible levels, and contract terms.
Study Relevance
Stop-loss insurance concepts appear on SOA health actuarial exams and in practice. Key topics include the distinction between specific and aggregate stop-loss, the use of severity distributions to model excess claims, leveraging factors for adjusting between deductible levels, the interaction between specific and aggregate coverages, and the impact of contract terms (paid versus incurred basis, run-in/run-out provisions) on pricing. Practice problems involving the calculation of expected excess claims above a specific deductible, the determination of aggregate attachment points, and the analysis of leveraged trend provide strong preparation for both exams and professional practice.