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Attachment Point

An attachment point is the claims level at which stop-loss insurance or health reinsurance starts to pay, per person (specific) or per group (aggregate).

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10 Oct 2026, by Dr Darrin Baines
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Concept Architecture

Attachment Point Where Stop-Loss and Health Reinsurance Start to Pay

In insurance, the attachment point marks where a payer's own liability for claims ends and its stop-loss insurer, reinsurer or a public risk pool takes over. Below it the employer, insurer or sickness fund pays every claim itself; above it the other party shares the cost, often only up to a cap and at an agreed rate. The general excess-of-loss meaning is the same across insurance lines, and its use in health, from the payment rule and pricing to US regulatory floors, public reinsurance pools and the incentives the choice creates, is the focus here.

The excess layer of retention, coinsurance and cap

An attachment point is the lower edge of an excess layer. The National Association of Insurance Commissioners (NAIC) model act on stop-loss defines it as the claims amount incurred by an insured group beyond which the insurer incurs a liability for payment, and the NAIC white paper on stop-loss also calls the specific attachment point the "retention level". US regulations for the reinsurance programme of the Affordable Care Act (ACA) add a coinsurance rate, the share reimbursed between the attachment point and the cap, and a reinsurance cap, above which claims are not eligible.

For one covered person in one benefit year, a layer with all three parameters pays the amount below.

R=c×[min⁡(C,U)−A]+R = c \times \left[\min(C, U) - A\right]_+

where RR is the reimbursement to the payer, CC is the person's eligible claims for the year, AA is the attachment point, UU is the cap, cc is the coinsurance rate, and [x]+[x]_+ means xx when xx is positive and zero otherwise. The payer keeps C−RC - R. With c=1c = 1 and no cap, retained claims never exceed AA; coinsurance below 100%, a cap, a laser, exclusions or claims paid outside the contract year can push them higher, and the premium comes on top, so the attachment point is not a cap on the payer's cost.

Specific and aggregate attachment points

US stop-loss policies bought by self-funded employers usually carry two attachment points. The NAIC white paper describes a specific one that protects against claim severity and an aggregate one that protects against claim frequency.

  • Specific (individual) attachment point. A threshold on one covered person's claims in the contract year; the federal Employee Benefits Security Administration (EBSA) gives USD 500,000 per enrollee as an example.
  • Aggregate attachment point. A threshold on the employer's total retained claims for the year, usually a percentage of expected claims (EBSA's example is 125%), net of specific recoveries; see aggregate stop-loss.
  • Lasered attachment point. The NAIC white paper describes a "laser specific", a higher attachment point for individuals with known high-cost conditions or other identified risk factors, offered as a condition of cover or for a lower premium.

Choosing the level by weighing premium against retained risk

The NAIC white paper states that the attachment points determine how much risk the employer retains and transfers, and that what it will pay for lower ones depends on the risk it can afford and what the state regulator allows. Expected reimbursement falls steeply as the attachment point rises, but variability falls more slowly, because the rare very large claims sit at the top of the distribution. Fixed money attachment points also drift with claims inflation. As costs rise, every claim already above a fixed threshold grows by its full increase while the threshold stays put, and more people cross it, so the expected cost of the layer grows faster than average claims.

Worked example with three specific attachment points for one employer

The figures are illustrative. A self-funded employer covers 1,000 members. Each member's annual eligible claims are below USD 50,000 with probability 0.990, USD 75,000 with probability 0.006, USD 150,000 with probability 0.003 and USD 500,000 with probability 0.001, and members' claims are treated as independent. The employer compares specific attachment points of USD 50,000, USD 100,000 and USD 200,000, each with full reimbursement and no cap, priced at expected reimbursement plus a 30% loading.

1. Expected reimbursement per member. For a discrete distribution of claims, it is calculated as follows.

E[R]=∑kpk×(Ck−A)+E[R] = \sum_{k} p_k \times (C_k - A)_+

where E[R]E[R] is the expected reimbursement for one member, pkp_k is the probability of claim level CkC_k, and AA is the attachment point. The expected reimbursement at an attachment point of USD 50,000 is as follows.

E[R]=0.006×25,000+0.003×100,000+0.001×450,000=150+300+450=900E[R] = 0.006 \times 25{,}000 + 0.003 \times 100{,}000 + 0.001 \times 450{,}000 = 150 + 300 + 450 = 900

where each term is a probability times the amount above USD 50,000. At USD 100,000 the expected reimbursement is 0.003 × 50,000 + 0.001 × 400,000 = 550 per member, and at USD 200,000 it is 0.001 × 300,000 = 300 per member.

2. Variability of the transferred claims. Per member, the variance is as follows.

Var(R)=0.006×25,0002+0.003×100,0002+0.001×450,0002−9002=235,440,000Var(R) = 0.006 \times 25{,}000^2 + 0.003 \times 100{,}000^2 + 0.001 \times 450{,}000^2 - 900^2 = 235{,}440{,}000

where Var(R)Var(R) is the variance of one member's reimbursement at the USD 50,000 attachment point. For 1,000 independent members the standard deviation of total reimbursement is the square root of 1,000 times this, about USD 485,222. The same steps give USD 408,898 at USD 100,000 and USD 299,850 at USD 200,000.

3. Results for the group.

Specific attachment point (USD)Expected members above itExpected reimbursement (USD)Standard deviation of reimbursement (USD)Illustrative premium at 30% loading (USD)
50,00010900,000485,2221,170,000
100,0004550,000408,898715,000
200,0001300,000299,850390,000

4. Claims inflation. If every claim level rises by 10% (the USD 75,000 level becomes USD 82,500, still below the attachment point), expected reimbursement at the USD 100,000 attachment point becomes 0.003 × 65,000 + 0.001 × 450,000 = 645 per member, a rise of about 17.3%.

5. What the numbers show. Raising the attachment point from USD 50,000 to USD 200,000 cuts expected reimbursement by two thirds and the illustrative premium by USD 780,000, but the standard deviation of what is transferred by only about 38%. The layer given up, from USD 50,000 to USD 200,000, has expected reimbursement of USD 600,000 and a standard deviation of USD 236,411, a ratio of 0.39, against 1.00 for the layer above USD 200,000. The lower layer is mostly spending that recurs from year to year, prepaid with a loading, while the top layer is almost pure catastrophe protection; the employer now keeps up to USD 200,000 per high-cost member.

Regulatory floors on stop-loss attachment points in the United States

The NAIC white paper observes that stop-loss with low enough attachment points works like group health insurance without its regulation, and that many states set thresholds so that employers stay truly self-funded. EBSA's Technical Release 2014-01 warns that low attachment point stop-loss can also create adverse selection in the risk pool.

The NAIC Stop Loss Insurance Model Act, adopted in 1995 and amended in 1999, bars a policy with any of the following.

  • an annual specific attachment point below USD 20,000;
  • an annual aggregate attachment point, for groups of 50 or fewer, below the greatest of USD 4,000 times the number of group members, 120% of expected claims, or USD 20,000;
  • an annual aggregate attachment point, for groups of 51 or more, below 110% of expected claims.

The act lets the insurance commissioner amend these amounts with reference to medical prices, and the floor that applies to a given policy is set by the law of the state that adopts it.

Attachment points in public reinsurance and high-cost risk pools

Public reinsurance writes the attachment point into regulation. Under 45 CFR 153.230, each ACA transitional reinsurance payment was the coinsurance rate times an issuer's claims costs for an enrollee in the year between the attachment point and the cap.

The ACA transitional reinsurance programme (2014 to 2016). The programme covered individual-market plans, and the Department of Health and Human Services (HHS) set its parameters in annual payment notices, shown in the table below.

Benefit yearAttachment point (USD)Reinsurance cap (USD)Coinsurance rate as set
201460,000, lowered to 45,000250,00080%
201570,000, lowered to 45,000250,00050%
201690,000250,00050%

HHS lowered the 2014 attachment point because it had overestimated covered claims costs, so it could pay more for high-cost enrollees without raising the contribution rate. It kept the cap at USD 250,000 to avoid interfering with commercial reinsurance, which typically attaches in that range. From the 2015 notice, if contributions for a year exceeded requests for payment, that year's coinsurance rate was to be raised, up to 100%.

The German risk pool. Section 268 of the Social Code Book V adds a risk pool (Risikopool) to the risk structure equalisation (Risikostrukturausgleich) between statutory sickness funds. When a fund's eligible expenditure for one insured person in a year exceeds the threshold, 80% of the amount above it is equalised through the pool. The statute sets the threshold at EUR 100,000, to be uprated in later years by the annual change in eligible expenditure per insured person, and pooled expenditure is left out of the standardised expenditure used to calculate the funds' allocations.

Risk selection, risk sharing and incentives for cost control

An attachment point trades protection for payers against their responsibility for costs. Health economists describe the payer's incentive with the "power" of a payment system, the share of the marginal unit of spending that the plan bears. Below the attachment point and above any cap, power is 1; inside the layer it falls to one minus the coinsurance rate, so a lower attachment point or higher coinsurance rate weakens the payer's incentive to manage the costs of people likely to cross it, a form of moral hazard on the part of the protected payer.

The offsetting gains come from risk and selection. Simulating ACA Marketplace enrollees, Layton, McGuire and Sinaiko found that a large part of an insurer's random risk comes from a few extraordinarily high-cost individuals, so reinsurance cut insurer risk sharply while weakening incentives for only a very small share of enrollees. Geruso and McGuire found that a simple reinsurance system scored better on fit, power and balance than the Marketplace risk adjustment scheme. Van Barneveld and colleagues showed that risk sharing reduces incentives for selection and for efficiency alike, and found that outlier risk sharing, which pays above a threshold, gave poorer trade-offs than other forms. A lower attachment point therefore reduces the reward for cream skimming, at the cost of weaker cost control.

In a budget impact analysis from a payer's perspective, a very expensive therapy for a few people falls largely in the stop-loss or reinsurance layer, while the same spending spread across many members stays with the payer unless it pushes total claims past an aggregate attachment point. The protection lasts only for the contract year. The NAIC white paper notes that stop-loss is underwritten again at renewal, when the insurer may raise the premium or laser known high-cost individuals, so a multi-year analysis should not assume unchanged terms. From a health system or societal perspective the reimbursement is a transfer between payers; only the administration and capital costs within the loading, and any change in care, are real resource effects.

Attachment point compared with deductible, risk corridor and risk adjustment

Several mechanisms set a threshold on health costs, but each sits between different parties. The table shows who carries the costs below each threshold.

MechanismThreshold applies toWho bears costs below the threshold
DeductibleA patient's own spendingThe patient, through cost sharing
Specific attachment pointOne person's claims in a yearThe employer, insurer or fund paying claims
Risk corridorAn insurer's total costs relative to a targetThe insurer, within the corridor
Risk adjustmentNo threshold; payments follow predicted riskNot threshold-based

Risk adjustment deals with predictable differences in risk, while reinsurance attachment points deal mainly with unpredictable large claims, which is why systems often use both.

Sources

  • Geruso M, McGuire TG. Tradeoffs in the design of health plan payment systems: fit, power and balance. Journal of Health Economics. 2016;47:1-19. doi:10.1016/j.jhealeco.2016.01.007
  • Layton TJ, McGuire TG, Sinaiko AD. Risk corridors and reinsurance in health insurance marketplaces: insurance for insurers. American Journal of Health Economics. 2016;2(1):66-95. doi:10.1162/ajhe_a_00034
  • National Association of Insurance Commissioners. Stop Loss Insurance Model Act (Model 92). Adopted 1995, amended 1999. https://content.naic.org/sites/default/files/model-law-092.pdf
  • National Association of Insurance Commissioners. Stop Loss Insurance, Self-Funding and the ACA. White paper. 2015. https://content.naic.org/sites/default/files/inline-files/SLI_SF.pdf
  • Sozialgesetzbuch Fünftes Buch (SGB V), section 268 Risikopool. Text as accessed 2 October 2026. https://www.gesetze-im-internet.de/sgb_5/__268.html
  • US Department of Health and Human Services. Patient Protection and Affordable Care Act; HHS Notice of Benefit and Payment Parameters for 2015. Federal Register. 2014;79:13744 (11 March 2014).
  • US Department of Health and Human Services. Patient Protection and Affordable Care Act; HHS Notice of Benefit and Payment Parameters for 2016. Federal Register. 2015;80:10750 (27 February 2015).
  • US Code of Federal Regulations. Title 45, part 153, sections 153.20 and 153.230 (Standards related to reinsurance, risk corridors, and HHS risk adjustment under the Affordable Care Act). eCFR text as accessed 2 October 2026. https://www.ecfr.gov/current/title-45/subtitle-A/subchapter-B/part-153
  • US Department of Labor, Employee Benefits Security Administration. Guidance on State Regulation of Stop-Loss Insurance. Technical Release 2014-01. 6 November 2014. https://www.dol.gov/agencies/ebsa/employers-and-advisers/guidance/technical-releases/14-01
  • van Barneveld EM, Lamers LM, van Vliet RCJA, van de Ven WPMM. Risk sharing as a supplement to imperfect capitation: a tradeoff between selection and efficiency. Journal of Health Economics. 2001;20(2):147-168. doi:10.1016/S0167-6296(00)00077-1

Institutional Perspectives (1)

  • US Department of Health and Human Services (HHS)

    Reinsurance Attachment Point and the USD 1 Million High-Cost Risk Pool

    HHS rules define the attachment point as the threshold of an issuer's claims costs for one enrollee in a benefit year after which those costs become eligible for reinsurance payments. Under the transitional reinsurance programme for 2014 to 2016, each payment was the coinsurance rate multiplied by claims costs between the attachment point and the reinsurance cap. In the current risk adjustment programme, the high-cost risk pool pays 60% of an enrollee's claims above USD 1 million, a threshold HHS kept for the 2027 benefit year, funded by a charge on premiums.

    US Department of Health and Human Services, Code of Federal Regulations title 45, part 153 (eCFR current text), sections 153.20 and 153.230; HHS Notice of Benefit and Payment Parameters for 2027, final rule, 91 FR 29525 (20 May 2026), HHS risk adjustment sectionView source →

Functions & Formulae (2)

s(p_k, C_k, A, U, c, g) = (E_R, M2_R, V_R, SD_R, E_g, rise_E)

Maps the distribution of one covered person's eligible claims for a contract year, a specific attachment point A, a cap on claims U and a coinsurance rate c to the mean, second moment, variance and standard deviation of the stop-loss or reinsurance reimbursement for that person, and maps a uniform claims inflation rate g to the proportional rise in the expected reimbursement of an uncapped excess layer whose attachment point stays fixed. The one-year payment rule of the article, R equal to c times the positive part of min(C, U) minus A, is the payment rule of HE-FM-ASL-001 applied to one person's claims C in place of the group's net claims S, with a layer limit M equal to U minus A, multiplied by c, because for any cap at or above the attachment point min(max(C minus A, 0), U minus A) equals max(min(C, U) minus A, 0) (derived, checked numerically), so the rule is cited and not restated. The aggregate side of a stop-loss policy is live as HE-FM-ASL-001 to HE-FM-ASL-005 and HE-CF-ASL-001, including the normal approximation to an expected excess (HE-FM-ASL-005), and the standard deviation of a total over independent members is the square-root rule of HE-FM-ASL-003. A probability-weighted mean in general is HE-FN-EV-001 (HE-FM-CHN-001 at a chance node), a member's cost sharing under a deductible, coinsurance and out-of-pocket maximum is HE-FM-AV-002, a gross premium with loadings is HE-FM-ACTA-002 and moving a cost from one price year to another with an index is HE-FM-COST-002. This package adds the variance of the specific reimbursement over a discrete claims distribution, with its mean, and the response of an excess layer to claims inflation. Notation follows the Attachment Point article.

  • Mean and variance of specific stop-loss reimbursement over a three-level claims distribution

    E_R = c * (p_1 * max(min(C_1, U) - A, 0) + p_2 * max(min(C_2, U) - A, 0) + p_3 * max(min(C_3, U) - A, 0)); M2_R = c^2 * (p_1 * max(min(C_1, U) - A, 0)^2 + p_2 * max(min(C_2, U) - A, 0)^2 + p_3 * max(min(C_3, U) - A, 0)^2); V_R = M2_R - E_R^2; SD_R = sqrt(V_R)

    Gives the expected reimbursement per covered person, its second moment, variance and standard deviation when the person's annual eligible claims take one of three levels C_1 to C_3 with probabilities p_1 to p_3, and the remaining probability sits at claims that never reach the attachment point. Each level's payment is the specific layer rule of HE-FM-ASL-001 with a layer limit of U minus A, times the coinsurance rate c, and E_R is the probability-weighted mean of HE-FN-EV-001 over those payments, the net premium per person for the layer before any loading, carried here because the variance needs it. V_R is the second moment less the squared mean, following the expected value and second moment of the excess of loss cost function in Miccolis 1977. The record works from the discrete distribution of the article's worked example; the normal closed form for an aggregate total is the separate record HE-FM-ASL-005. For a group of n independent members the expected total is n times E_R and its standard deviation SD_R times the square root of n, the rule of HE-FM-ASL-003, which the computational function below applies. Raising A by an amount that passes no claim level and stays below the cap lowers E_R by c times that amount times the probability that claims exceed the old attachment point (derived), so expected reimbursement falls steeply while, as the worked examples show, the standard deviation falls more slowly.

  • Proportional rise in expected reimbursement of an uncapped specific excess layer under uniform claims inflation

    E_0 = p_1 * max(C_1 - A, 0) + p_2 * max(C_2 - A, 0) + p_3 * max(C_3 - A, 0); E_g = p_1 * max((1 + g) * C_1 - A, 0) + p_2 * max((1 + g) * C_2 - A, 0) + p_3 * max((1 + g) * C_3 - A, 0); rise_E = E_g / E_0 - 1; mult_E = rise_E / g

    Gives the expected reimbursement per member of an uncapped excess layer with full reimbursement before and after every claim level rises by the same inflation rate g while the attachment point stays fixed in money, the proportional rise rise_E in that expected reimbursement, and its ratio mult_E to g. Lee 1988 states that with the retention fixed the expected excess loss payment rises proportionally much more than the general rate of inflation. Miccolis 1977 shows that under a uniform inflation factor the expected loss limited at k equals the factor times the earlier expected loss limited at k divided by the factor (equation 17), from which E_g equals (1 + g) times the expected excess of current claims over A / (1 + g) (derived), so inflating claims has the same effect as lowering the attachment point in real terms, and without a cap mult_E is at least 1 (derived, checked over a grid of inputs). A coinsurance rate multiplies E_0 and E_g alike and cancels from rise_E; with a cap the top of the layer can already be used up and the rise can fall below g. The general price-year adjustment of a single cost is HE-FM-COST-002.

View all formulae

Library

Publications

7
  • Other

    Sozialgesetzbuch Fünftes Buch (SGB V), section 268 Risikopool — Germany, Web page, accessed 2 October 2026 ed., 2026 (Gesetze im Internet)

    German statutory provision setting up a risk pool alongside the risk structure equalisation of statutory health insurance, which reimburses 80% of an insured person's eligible annual expenditure above a threshold of EUR 100,000 that is uprated each year.

  • Other

    Patient Protection and Affordable Care Act; HHS Notice of Benefit and Payment Parameters for 2016 — US Department of Health and Human Services, Vol. 80, p. 10750, 27 February 2015 ed., 2015 (Federal Register)

    Federal Register notice that set 2016 reinsurance parameters of a USD 90,000 attachment point, a USD 250,000 cap and 50% coinsurance, and lowered the 2015 attachment point from USD 70,000 to USD 45,000 to further the premium stabilisation effects of the programme.

  • Journal article

    Risk sharing as a supplement to imperfect capitation: a tradeoff between selection and efficiency — van Barneveld EM, Lamers LM, van Vliet RCJA, van de Ven WPMM, Vol. 20, No. 2, pp. 147-168 ed., 2001 (Journal of Health Economics)

    Paper on risk sharing as a supplement to capitation payments, which shows that risk sharing reduces insurers' incentives for selection and for efficiency and finds that forms other than outlier or proportional risk sharing give better trade-offs between the two.

  • Other

    45 CFR Part 153: Standards related to reinsurance, risk corridors, and HHS risk adjustment under the Affordable Care Act (sections 153.20 and 153.230) — Code of Federal Regulations, eCFR text, accessed 2 October 2026 ed., 2026 (Electronic Code of Federal Regulations)

    US federal regulations defining the attachment point, coinsurance rate and reinsurance cap of the Affordable Care Act transitional reinsurance programme for individual-market plans and calculating each payment as the coinsurance rate times claims costs between the attachment point and the cap.

  • Journal article

    Risk corridors and reinsurance in health insurance marketplaces: insurance for insurers — Layton TJ, McGuire TG, Sinaiko AD, Vol. 2, No. 1, pp. 66-95 ed., 2016 (American Journal of Health Economics)

    Paper on risk corridors and reinsurance in the US health insurance marketplaces, which reports that government reinsurance usually starts at much lower thresholds than private reinsurance and that, because insurer random risk is driven by a few very high-cost people, reinsurance cuts that risk sharply while affecting incentives for a very small part of enrolment.

  • Other

    Patient Protection and Affordable Care Act; HHS Notice of Benefit and Payment Parameters for 2015 — US Department of Health and Human Services, Vol. 79, p. 13744, 11 March 2014 ed., 2014 (Federal Register)

    Federal Register notice that lowered the 2014 reinsurance attachment point from USD 60,000 to USD 45,000 because earlier estimates overstated covered claims costs, kept the USD 250,000 cap, set 2015 parameters of USD 70,000, USD 250,000 and 50% coinsurance and allowed the coinsurance rate to rise up to 100% if contributions exceeded requests.

  • Book

    The Economics of Health and Health Care — Folland, Goodman, Stano & Danagoulian, 9th Edition ed., 2024 (Routledge)

    The market-leading general health economics textbook, giving comprehensive coverage of health economics through core economic themes and balancing theory, empirical evidence and public policy. The ninth edition adds chapters on health disparities and pandemic economics.

Frequently Asked Questions (6)

  • What is an attachment point?

    An attachment point is the claims level at which stop-loss insurance or health reinsurance starts to pay, per person (specific) or per group (aggregate).

    Source: NAIC 2015

  • At what threshold does coverage begin under an attachment point?

    An attachment point is the threshold at which a stop-loss or reinsurance policy begins to cover costs. Below it, the insured party, such as a self-insured employer, bears the costs itself; above it, the stop-loss policy takes over. It matters because it sets how much risk the insured retains before protection kicks in: a low attachment point means more is covered but the policy costs more, a high one the reverse. The point where reinsurance starts paying is what it marks. Cutler and Zeckhauser (2000) set out the anatomy of insurance.

    Source: Cutler & Zeckhauser 2000

  • How does an attachment point work?

    An attachment point works by setting a threshold below which the insured bears the costs and above which the stop-loss or reinsurance policy pays, so coverage begins once costs reach the point. So an attachment point works by dividing responsibility at the threshold, which is why it is a specific level, since the insured pays up to the point and the policy covers the excess, and setting the attachment point determines where the stop-loss or reinsurance coverage begins, with the insured responsible for costs below it.

    Source: Cutler & Zeckhauser 2000

  • Why does an attachment point matter?

    An attachment point matters because it determines how much cost the insured bears before reinsurance begins, so a higher attachment point means the insured retains more risk and a lower one means the policy covers more. So the attachment point matters for risk sharing, which is why its level is important, since it sets how much the insured bears before coverage starts, and the attachment point matters because it fixes the threshold at which the stop-loss or reinsurance policy begins to pay, shaping how much risk the insured retains.

    Source: Cutler & Zeckhauser 2000

  • What does the insured bear below the attachment point?

    Below the attachment point, the insured bears the costs themselves, since the stop-loss or reinsurance policy only begins covering costs once they reach the threshold. So the insured bears costs below the attachment point, which is why it is a threshold, since coverage starts only above the point, and below the attachment point the insured is responsible for the costs, with the stop-loss or reinsurance policy covering the costs that exceed the point once the threshold is reached.

    Source: Cutler & Zeckhauser 2000

  • How does an attachment point relate to stop-loss coverage?

    An attachment point relates to stop-loss coverage as the threshold that triggers it: stop-loss coverage protects against high costs, and the attachment point is the level at which that coverage begins. So the attachment point defines where stop-loss begins, which is why they are connected, since stop-loss pays above the point and the insured bears costs below, and the attachment point sets the threshold for stop-loss coverage, determining the point at which the policy starts to cover the costs above it.

    Source: Cutler & Zeckhauser 2000

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British health economist

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Verification date: 10 Oct 2026

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