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May 24, 2012

Statistical Modeling and Analysis of Stop- Loss Insurance for Use in NAIC Model Act

Prepared for: National Association of Insurance Commissioners

Prepared by: Milliman, Inc.

James T. O’Connor FSA, MAAA

Erik C. Huth FSA, MAAA


National Association of Insurance Commissioners Statistical Modeling and Analysis of Stop-Loss Insurance for Use in NAIC Model Act

May 24, 2012

TABLE OF CONTENTS I. INTRODUCTION ........................................................................................................................................... 1 II. BACKGROUND ............................................................................................................................................ 2 III. SCOPE OF THE ASSIGNMENT ................................................................................................................... 3 IV. RESULTS ...................................................................................................................................................... 4

Analysis of Specific Stop-Loss Arrangements – No Aggregate Program ..................................................... 4 Analysis of Aggregate Stop-Loss Arrangements – With and Without a Specific Stop-Loss Program .......... 5 Alternative Measurements ............................................................................................................................. 7 Probability of Exceeding Aggregte Attachment Point .................................................................................... 8 90th Percentile of Retained Claims as a Percent of Expected Retained Claims ........................................... 9 Expected Policyholder Deficit (EPD) ...........................................................................................................10 Sensitivity Testing ........................................................................................................................................11 Comparison to Previous Study ....................................................................................................................11

V. METHODOLOGY AND DATA SOURCES .................................................................................................13

Data Sources ...............................................................................................................................................13 Single Life Claim Probability Distributions ...................................................................................................13 Simulation Model .........................................................................................................................................14 Variation by Plan Design .............................................................................................................................15

VI. LIMITATIONS OF RESULTS ......................................................................................................................18 VII. STATEMENT OF ACTUARIAL OPINION ..................................................................................................20

Attachments

National Association of Insurance Commissioners Page 1 Statistical Modeling and Analysis of Stop-Loss Insurance for Use in NAIC Model Act May 24, 2012


I. INTRODUCTION This report presents the results of our work to assist the National Association of Insurance Commissioners (“NAIC”) with the development of specific and aggregate attachment points for stop-loss insurance. The factors presented are related to business to which stop-loss insurance applies, primarily comprehensive and major medical coverage offered to employer groups under age 65. The report presents the aggregate attachment points at which the ceding company’s and reinsurer’s expected claims amount will be equal, and the aggregate attachment points at which the standard deviation of the ceding company’s expected claims will equal that of the reinsurer’s. This approach is similar to previous studies that produced the aggregate attachment points currently used in the NAIC Stop-Loss Insurance Model Act. The report also includes other commonly recognized measures of risk by aggregate attachment point, specific stop-loss deductible, and employer size that may provide additional analysis to the NAIC for deciding how to update the Model Act.


National Association of Insurance Commissioners Page 2 Statistical Modeling and Analysis of Stop-Loss Insurance for Use in NAIC Model Act

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II. BACKGROUND The NAIC developed the Stop-Loss Insurance Model Act (Model Act) in 1995, in order to prevent insurers from avoiding laws regulating the health insurance marketplace by structuring their products as “stop loss” coverage sold to employers that were purportedly self-insured, but did not actually retain a significant portion of the plan’s risk. The Model Act established minimum attachment points for stop-loss insurance. The Health Care Reform Actuarial (B) Working Group has now been charged by the ERISA (B) Subgroup with updating the various attachment points in the Model Act to reflect more recent claims experience. Section 3 of the Model Act defines the specific and aggregate attachment points at which stop-loss insurance can be issued. The last study the NAIC commissioned to help determine attachment limits was performed in 1994 for the initial development of the Model Act in 1995 The Model Act states that an insurer shall not issue a stop-loss insurance policy that has an attachment point (specific stop-loss deductible) for claims incurred per individual lower than $20,000 or that provides direct coverage of an individual’s health care expenses. For groups of more than 50, the annual aggregate attachment point must not be lower than 110 percent of expected claims. For groups of 50 or fewer people, the annual aggregate attachment point may not be less than the greater of:

(i) $4,000 times the number of group members,

(ii) 120 percent of expected claims, or

(iii) $20,000. According to the NAIC, three states — Minnesota, New Hampshire, and Vermont — have adopted the Model Act. Eighteen (18) other states have implemented related legislative or administrative action.



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III. SCOPE OF THE ASSIGNMENT The NAIC requested that our work identify the following attachment points, given various group sizes and specific stop-loss deductibles:

> Attachment points at which the ceding company’s and reinsurer’s expected claims amount will be equal.

> Attachment points at which the standard deviation of the ceding company’s expected claims will equal that of the reinsurer’s. (Note: In many situations, there were no aggregate attachment points that could meet this criterion.)

In addition, we have included the following measures of risk:

> The employer’s total health care costs in excess of expected costs, expressed as a ratio to expected health care costs.

> The probability that the ceding company’s claims exceed the aggregate attachment point for a variety of aggregate attachment points.

> The employer’s expected deficit relative to expected health care costs. These parameters and characteristics translate into the tables that are presented on the following pages and in the attachments to this report. Following the instructions and guidance of the NAIC, we have developed a stochastic pricing model in which we run thousands of iterations to calculate the total expected claims, the expected specific stop-loss claims, and the aggregate stop-loss claims. This can be done for any group size, specific stop-loss deductible, and aggregate attachment point. The first step in considering the impact of stop-loss coverage is the calculation of specific stop-loss claims, in which a member’s annual claims exceeds the specific stop-loss deductible. We provide the percent of an employer’s paid claims above the specific stop-loss deductible to put the value of various specific stop-loss deductibles in perspective. We then examine in the various ways listed above the relative aggregate claims between an employer and its reinsurer.



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IV. RESULTS ANALYSIS OF SPECIFIC STOP-LOSS ARRANGEMENTS – NO AGGREGATE PROGRAM The specific stop-loss deductible is the amount above which the reinsurer reimburses the employer for the amount of a member’s annual paid claims. Specific stop-loss claims are the portion of a member’s annual paid claims exceeding the specific stop-loss deductible or the amount reimbursed by the reinsurer for that member’s claims. We calculate the value of the specific stop-loss deductible as the portion of an employer’s paid claims that are above the specific stop-loss deductible. These percentages vary somewhat by the size of a specific employer due to varying claim probability distributions (CPDs). We have modeled two different CPDs, one for small groups (fewer than 51 employees) and another for large groups (51 or more employees). However, the differences do not dramatically impact the value of the stop-loss deductible, as can be seen in Table 1. We calculated these values for a typical Bronze, Silver, Gold and Platinum plan.

TABLE 1 PERCENT OF AN EMPLOYER’S PAID CLAIMS

ABOVE THE SPECIFIC STOP-LOSS DEDUCTIBLE

Specific Stop-Loss Deductible

Small Group Large Group

Bronze Silver Gold Platinum Bronze Silver Gold Platinum

$20,000 50.5% 46.0% 41.7% 37.5% 49.6% 45.0% 40.8% 36.4%

$30,000 40.6% 36.6% 33.1% 29.3% 39.7% 35.7% 32.1% 28.4%

$40,000 33.8% 30.3% 27.3% 24.1% 32.9% 29.4% 26.4% 23.2%

$50,000 28.7% 25.7% 23.1% 20.3% 27.9% 24.9% 22.2% 19.5%

$60,000 24.8% 22.1% 19.9% 17.5% 24.1% 21.4% 19.1% 16.6%

$75,000 20.6% 18.2% 16.3% 14.2% 19.8% 17.5% 15.6% 13.6%

$200,000 6.9% 6.0% 5.4% 4.6% 6.5% 5.7% 5.0% 4.3%

The results indicate that, if there is only a specific stop-loss program without an aggregate stop-loss arrangement, the employer would be expected to cede 50% or less of claims. This means the employer would pay over 50% of the claims plus the reinsurance premium at a selected attachment point. The employer’s share of claims would increase as the specific stop-loss deductible increases, while the reinsurance rates would decrease (although there would not necessarily be an exactly corresponding decrease due to the need for the reinsurer to cover its expenses, risk charge, and surplus needs, which could vary by group size and attachment point). We can compare results from our analysis against those of the original 1994 study to identify a specific stop-loss deductible in the present day health plan cost environment that corresponds to that study’s $20,000 deductible. The 1994 Coopers study provided two sample populations. The probability of a member incurring a claim above $20,000 in the 1994 study was 0.85% for Sample 1, and 2.43% for Sample 2. Table 1A presents our estimates of the 2012 probability of a Small Group Silver Plan member incurring high dollar claim amounts:



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Table 1A

Probability of a High Dollar Claim For a Small Group Silver Plan Member Claim Amount Probability

Greater than $20,000 3.34% Greater than $30,000 2.22% Greater than $40,000 1.47% Greater than $50,000 1.14% Greater than $60,000 0.98%

The 0.85% sample probability from the 1994 study would correspond to an attachment point greater than $60,000 in today’s dollars, but the 2.43% sample result would indicate an attachment point somewhere between $20,000 and $30,000. Unfortunately, the probabilities from the previous study for the two samples are pretty diverse, but should provide some guidance as to a potential range within which the updated attachment point can be chosen. More details are presented in the “Comparison to Previous Study” section. ANALYSIS OF AGGREGATE STOP-LOSS ARRANGEMENTS – WITH AND WITHOUT A SPECIFIC STOP-LOSS PROGRAM The aggregate attachment point is the dollar amount above which the reinsurer reimburses the employer for the sum of all its member’s annual claims below the specific stop-loss deductible. Aggregate stop-loss claims, which are the responsibility of the reinsurer, are the portion of an employer’s annual paid claims below the specific stop-loss deductible that exceed the aggregate attachment point. The aggregate attachment point is calculated as the aggregate attachment factor, in the form of a percentage, multiplied by the employer’s expected annual claims below the specific stop-loss deductible. Aggregate Stop-Loss Attachment Point Where Ceded Claims Equal Retained Claims The NAIC requested that we calculate the aggregate attachment points at which the ceding company’s and reinsurer’s expected claim amounts are equal for various specific stop-loss deductible amounts and employer sizes. In this report, we assume that there are two covered members per employee. The reinsurer’s claims are the sum of the specific stop-loss claims and the aggregate stop-loss claims. Table 2 shows the aggregate attachment factor at which the employer’s expected retained claims equal their expected ceded claims:



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TABLE 2 AGGREGATE STOP-LOSS ATTACHMENT POINT SET SO

EXPECTED VALUE OF CEDED CLAIMS = EXPECTED VALUE OF RETAINED CLAIMS


Group Size (Number of Employees) Members Assumed to be 2x

10 Employees

25 Employees

50 Employees

100 Employees

500 Employees

$20,000 165% 124% 109% 99% 92%

$30,000 117% 93% 84% 80% 78%

$40,000 104% 82% 75% 72% 71%

$50,000 98% 76% 70% 67% 67%

$60,000 93% 73% 67% 64% 64%

$75,000 89% 69% 63% 61% 61%

None 73% 57% 52% 51% 50% When there is no specific stop-loss deductible, the largest groups have an aggregate attachment factor of 50%. Since there were no stochastic model iterations in which a large employer’s claims were less than 50% of the expected value, a 50% aggregate attachment factor will, by definition, cause the large employer to cede exactly 50% of its claims. The calculation criterion utilized in Table 2, namely the point at which a group’s expected ceded claims equal expected retained claims, results in aggregate attachment points that significantly understate the levels in the current Model Act. By comparison, the aggregate reinsurance minimum percentages of the current Model Act are 110% for large groups and 120% for small groups. Aggregate Stop-Loss Attachment Point Where Standard Deviation of Ceded Claims Equals that of Retained Claims The NAIC also requested that we calculate the aggregate attachment points at which the standard deviation of the ceding company’s expected claim amounts and that of the reinsurer’s expected claim amounts are equal for various attachment points and employer sizes. Specific stop-loss deductibles dampen the standard deviation of the ceding company’s claims by capping a high-cost individual’s claims at the specific stop-loss deductibles. Lower specific stop-loss deductibles reduce the variance experienced by the ceding company. When an individual’s annual claims are less than the specific stop-loss deductibles, the reinsurer’s claims are $0; thus an increase in the specific stop-loss deductible generally increases the variance experienced by the reinsuring company. Therefore at lower specific stop-loss deductibles, there may be no aggregate attachment points that result in the standard deviation of the ceding company’s claims equaling the standard deviation of the reinsurer’s claims. By either dramatically increasing or completely removing the specific stop-loss deductible, we can calculate an aggregate attachment point such that the standard deviation of the ceding company’s claims equals the standard deviation of the reinsurer’s claims.



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In order to stabilize the results, we doubled the number of Monte Carlo simulation runs for small groups. The results are shown in Table 3:

TABLE 3 AGGREGATE STOP-LOSS ATTACHMENT POINT SET SO

STANDARD DEVIATION OF CEDED CLAIMS = STANDARD DEVIATION OF RETAINED CLAIMS



10 Employees

25 Employees

50 Employees

100 Employees

500 Employees

$20,000 N / A N / A N / A N / A N / A

$30,000 N / A N / A N / A N / A N / A

$40,000 N / A N / A N / A N / A N / A

$50,000 N / A N / A N / A N / A N / A

$60,000 N / A N / A N / A N / A N / A

$75,000 N / A N / A N / A N / A N / A

$200,000 326% 198% 161% 136% 113%

None 290% 180% 144% 125% 105% We believe the calculation criterion utilized in Table 3, namely setting the attachment point at the level where the standard deviation of the ceded claims distribution equals that of the retained distribution, is not very useful for determining revisions to the Model Act triggers. For lower specific stop-loss deductibles, aggregate attachment points do not even exist that satisfy the criterion, and it appears to generally overstate the level of appropriate aggregate attachment points required for the employer to retain meaningful risk where there are values. ALTERNATIVE MEASUREMENTS There are measurements other than standard deviation that are commonly used to determine the level of risk transfer achieved by insurance coverage. FAS 113 requires that risk transfer be demonstrated by comparing the present value of the cash flows associated with a contract, and in particular by passing certain thresholds of "significance" of risk:

> The reinsurer assumes significant insurance risk under the reinsured portions of the underlying insurance contracts.

> It is reasonably possible that the reinsurer may realize a significant loss from the transaction. Commonly used measures of the risk used in the reinsurance industry to satisfy FAS 113 include:

1. The probability of a reinsurance claim occurring,

2. A commonly cited standard rule of thumb known as the “10/10 rule”, meaning that the reinsurer has a 10% or greater chance of incurring a 10% or greater loss as a percentage of the ceded premium, and



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3. The expected value of a net loss, given that a net loss occurs. This is known as the Expected Policyholder

Deficit. We show the results for a group of 50 employees (100 members) with a Silver plan for each of these measurements in Tables 4 through 6 and Table 8. Full results for these tables for all group sizes and plans tested are shown in Attachments 4 through 6. PROBILITY OF EXCEEDING AN AGGREGATE ATTACHMENT POINT We calculated the probability of a group’s claims, given various specific stop-loss deductibles, exceeding an aggregate attachment point. As the aggregate attachment factor is increased, the likelihood of groups reaching the aggregate attachment point decreases.

TABLE 4 SILVER PLAN

PROBABILITY OF A GROUP WITH 50 EMPLOYEES (100 MEMBERS) EXCEEDING THE AGGREGATE ATTACHMENT POINT

Specific Stop- Loss Deductible

Aggregate Attachment Factor

110% 115% 120% 125% 130%

$20,000 34.3% 28.5% 23.1% 18.4% 14.4%

$30,000 36.0% 30.5% 25.3% 20.9% 16.9%

$40,000 35.8% 30.3% 25.8% 21.6% 17.9%

$50,000 35.4% 30.9% 26.6% 22.7% 19.0%

$60,000 36.6% 31.9% 27.3% 23.4% 19.7%

$75,000 36.6% 32.2% 28.2% 24.4% 21.0%

None 31.8% 28.9% 26.2% 23.7% 21.4% The use of this approach may be helpful to the NAIC in setting the updated percentage attachment point since it more clearly shows the likelihood of exceeding the aggregate percentage attachment points. By definition, it also shows the probability that an employer will suffer the most unfavorable outcome possible under the selected stop-loss arrangement. For example, an employer with a $50,000 specific deductible and a 120% attachment point has a 26.6% probability of having claim costs that are 20% higher than their initial expectations.



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90TH PERCENTILE OF EMPLOYER COSTS AS A PERCENT OF EXPECTED EMPLOYER COSTS To determine a measure similar to the aforementioned “10/10” rule, we calculated the ratio of the 90th percentile of total employer costs to expected employer costs. If we assume that stop-loss insurers will charge stop-loss premiums equal to the expected ceded claims, then total employer cost is equal to total expected claims. (Note: We have made a simplifying assumption that stop-loss insurers will not include expense or profit loads in the stop-loss premium. Of course, this is not likely, but it should have a meaningful effect on conclusions drawn from the results.). The 90th percentile of a group’s costs as a percent of the group’s expected costs increase as specific stop-loss deductible increases, increase as aggregate attachment point increases, and decrease as group size increases:

TABLE 5 SILVER PLAN

90TH PERCENTILE OF RETAINED CLAIMS AS A PERCENT OF EXPECTED EMPLOYER COSTS FOR A GROUP WITH 50 EMPLOYEES (20 MEMBERS)



110% 115% 120% 125% 130%

$20,000 109% 111% 113% 115% 118%

$30,000 111% 113% 115% 118% 120%

$40,000 113% 116% 118% 121% 124%

$50,000 115% 117% 120% 123% 126%

$60,000 116% 118% 121% 124% 127%

$75,000 117% 120% 123% 126% 129%

None 128% 131% 135% 138% 142% This approach shows the claim amount retained by a self-funded employer in the highest 10% of all scenarios compared to the expected claim amount. For example, an employer with a $50,000 specific deductible and a 120% attachment point has a 10% probability of having total health care costs (including stop-loss premium) that are 20% higher than their initial expectations. The use of this approach may be helpful to the NAIC in understanding the risks that a self-funded employer faces under a high-cost scenario.



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EXPECTED POLICYHOLDER DEFICIT (EPD) We performed another analysis highlighting the variance in the ceding company’s claims based on the Expected Policyholder Deficit, or EPD. EPD is a measure that is becoming more prevalent in the evaluation of risk transfer, particularly in reinsurance. The advantage of EPD is that it accounts for both the probability of a loss, or “bad” outcome, and the severity of losses. In this analysis, the EPD was calculated as the average “deficit”, where “deficit” is the excess of actual claims over expected claims. When actual claims are less than expected claims, the “deficit” is set equal to 0. Table 6 shows both the value of the EPD and the EPD as a percentage of expected employer costs (including expected stop-loss premium, as in Table 4). In this case, “claims” means retained claims.

TABLE 6 SILVER PLAN

EXPECTED POLICYHOLDER DEFICIT FOR A GROUP WITH 50 EMPLOYEES (100 MEMBERS)

(PERCENTAGE OF EXPECTED EMPLOYER COSTS)



110% 115% 120% 125% 130%

$20,000 $11,985 (4.2%)

$13,021 (4.6%)

$13,911 (4.9%)

$14,655 (5.2%)

$15,255 (5.4%)

$30,000 14,992 (5.3%)

16,266 (5.8%)

17,382 (6.1%)

18,341 (6.5%)

19,139 (6.8%)

$40,000 17,641 (6.2%)

19,042 (6.7%)

20,276 (7.2%)

21,354 (7.6%)

22,274 (7.9%)

$50,000 19,495 (6.9%)

20,993 (7.4%)

22,353 (7.9%)

23,556 (8.3%)

24,602 (8.7%)

$60,000 21,039 (7.4%)

22,666 (8.0%)

24,122 (8.5%)

25,405 (9.0%)

26,533 (9.4%)

$75,000 22,813 (8.1%)

24,533 (8.7%)

26,091 (9.2%)

27,493 (9.7%)

28,730 (10.2%)

None 32,804 (11.6%)

34,837 (12.3%)

36,726 (13.0%)

38,474 (13.6%)

40,093 (14.2%)

Though this approach to measuring risk is slightly more complex than the other approaches shown in this report, the NAIC may find this approach helpful because it can account for both the probability of bad outcomes and the magnitude of those bad outcomes in one measure. As a comparison to the table above, consider that the “10/10” reinsurance rule of thumb could lead to policies with an EPD of as little as 1% (10% probability x 10% loss). We would not advocate using a 1% EPD as the criteria for any changes to the model law, but that realization does put the EPDs above in context.



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This table also shows that employers who choose to purchase only aggregate stop-loss (without specific stop-loss) are taking much more risk than employers who purchase both specific and aggregate. For example, an employer purchasing a 110% aggregate stop-loss policy, with no specific stop-loss, has an EPD that is higher than an employer that purchases a 130% aggregate stop-loss policy and a $75,000 specific, even though it seems that the current model law would allow the $75,000 / 130% policy, but not the 110% “aggregate only” policy. This suggests that the NAIC may wish to discuss setting a lower aggregate limit in cases where no specific stop-loss is purchased. Attachment 1 provides a visual illustration of this concept. SENSITIVITY TESTING We also tested the sensitivity of these results by adjusting the underlying insurance plan from a Silver plan to Bronze, Gold and Platinum plans. The results for all plans and employer sizes are in the attachments. This analysis is discussed in more detail later in the report. There are other source characteristics of any carrier’s blocks of business that could also contribute to statistical variability of results for smaller blocks such as demographic characteristics (age, gender, family composition), geographic area, type of health plan, managed care intensity, provider network parameters, average duration of the business, and likely others. These have not been considered in the development of these CPDs due to project scope constraints, the practicality of being able to identify and apply such results through a model law, and the challenges inherent in being able to appropriately identify the impact of such characteristics, including the sheer volume of the number of CPDs that would result. We expect that including these characteristics in the modeling process would lead to additional variance in stop-loss results experienced by reinsurers and carriers. However, an estimate of the variance contributed by these characteristics is outside the scope of the present assignment. Toward the end of this report we list limitations of our analysis in regard to such characteristics and assumptions that were not included in the study. COMPARISON TO PREVIOUS STUDY The 1994 study by Coopers & Lybrand used two distinct underlying claim distributions, one with a “lean” set of benefits and one with a “rich” set of benefits. The analysis used parametric distributions. The functional form of the distribution was an assumption made by the study authors. Given this functional form, the parameters were calculated based on an underlying dataset. Our analysis uses discrete empirical CPDs1 representing claims that are at least 18 years later than those used in the previous study by Coopers & Lybrand (2012 versus 1994). Because of the inflation in medical costs over the last 18 years, the probabilities of a paid claim exceeding various dollar thresholds are much higher in this study. We also calculated the probability of a paid claim exceeding a variable threshold amount that is a multiple of the mean for both models, so as to better compare the variances of the two models. Table 7 shows a comparison of the two Coopers & Lybrand claim distributions with the claim distributions for the Small Group Bronze, Silver, Gold, and Platinum plans used in this study:

_______________________________________________________________________________ 1 The 2012 Milliman Health Cost GuidelinesTM Claim Probability Distributions are derived from data representing over 45 million lives



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TABLE 7 PAID CLAIM DISTRIBUTION ASSUMPTIONS

COOPERS & LYBRAND MILLIMAN – SMALL GROUP

LEAN PLAN RICH PLAN BRONZE SILVER GOLD PLATINUM

Expected Annual Claim PMPM $671 $1,920 $ 2,319 $ 2,827 $ 3,369 $ 4,136

Standard Deviation $3,922 $7,289 $16,532 $17,232 $17,789 $18,432

Probability of Claim = $0 61.56% 37.04% 85.73% 74.66% 54.87% 23.61%

Probability of Claim > $20K 0.85% 2.43% 2.71% 3.34% 3.52% 4.38%





Probability of Claim > 5 x Mean 2.42% 4.00% 3.74% 3.95% 4.16% 4.37%



Probability of Claim > 100 x Mean 0.05% 0.00% 0.08% 0.07% 0.04% 0.03% The delivery of medical care has changed significantly since the previous study, resulting in changes to the probability of various claim thresholds being reached, and making it is difficult to compare two CPDs representing claims nearly 20 years apart. However, there does appear to be value in this comparison as the NAIC evaluates the need for changes to specific deductible limits allowed by law if the NAIC’s goal is to find an “equivalent” deductible in today’s dollars. In a comparison of absolute claim dollars, the probability of a Bronze member having annual claims greater than $50,000 in 2012 is slightly greater than the probability of a Lean Plan member having annual claims greater than $20,000 in 1994 (i.e., 1.08% versus 0.85%). Similarly, the probability of a Platinum member having annual claims greater than $50,000 in 2012 is lower than the probability of a Rich plan member having reached $20,000 in 1994 (i.e., 1.26% versus 2.43%). The probabilities relative to the mean appear fairly consistent between the two studies, allowing for a similar comparison using the average expected costs. For example, because the original specific deductible limit of $20,000 was between 10x and 25x expected costs for the Rich Plan, setting the specific limit between 10x and 25x of the Platinum Plan mean may be a reasonable approach for an updated model law.



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V. METHODOLOGY AND DATA SOURCES The following describes methodology and data sources that were used in this analysis. DATA SOURCES Milliman collects, parses, categorizes, and analyzes considerable volumes of medical insurance encounter data for the commercial markets every year. Our data sources underlying the information used for this project include the nationwide experience of commercially insured comprehensive medical business for over 45 million lives. Milliman also has proprietary actuarial tools such as our Health Cost Guidelines (HCGs) and related supporting databases. These volumes of health cost factors have been published and updated annually since the mid-1950s, providing an invaluable source for measuring and estimating health care costs under a wide variety of scenarios. One of the key tools included in the HCGs is a set of CPDs, which allows analysis of the distribution of claim levels that a carrier may anticipate for its business. Also included are tools for adjusting any of the CPDs for plan design (scope of covered services and cost-sharing), claims trend, provider reimbursement levels (discounts), geographic variations, and other factors that may need to be reflected in the use of the CPDs and other tools of the HCGs for actuarial analysis of health insurance costs. SINGLE LIFE CLAIM PROBABILITY DISTRIBUTIONS We have used the CPD from our 7/1/2012 edition of the HCGs that includes all benefits for the large group and small group market. We have made adjustments to reflect the following nationwide prevailing health care system differences in each of the two markets:

1. Provider network discounts that vary somewhat by marketplace and between those who have inpatient stays and those who do not. The CPDs are on a billed charge basis. These adjustments move them to average allowed (actual) charge levels.

2. Average age and gender differences between the markets

3. Differences in the prevalence and effectiveness of managed care and disease management protocols used in each market

4. Differences in the average health status of the insureds in each market. These differences are likely to change with the advent of the 2014 reforms.

We also reflected differences in utilization of services based upon the deductible / coinsurance combination of the plan being evaluated. These adjustments are based upon proprietary research conducted by Milliman in its efforts to evaluate the impact of the various health care reforms introduced by PPACA. The application of these adjustment factors to the base CPDs results in a single life set of claim probability distributions, one each for the small group and large group insurance markets. Note that the results are not very sensitive to uniform variations in these assumptions throughout the CPD, but might be sensitive to adjustments that alter the curve of the CPD. They represent average expected cost level distributions and are likely to differ somewhat from the actual experience of any specific health insurance company or employer-sponsored health plan.



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We applied benefits of a typical Silver plan to each simulated member claim to produce the paid claim. We assumed a Silver plan with an annual deductible of $2,500 and a 20% coinsurance on the next $5,000. The CPDs used in our analysis for small and large groups are shown in Attachment 7. SIMULATION MODEL We used a Monte Carlo convolution model to simulate the results that a carrier may experience for its entire block of business in each market. This convolution model was run based upon average exposed lives in force throughout the plan year. We ran 10,000 to 50,000 iterations, running more iterations for smaller group sizes. For each group size we ran at least one million independent estimates of the underlying claims distribution curve (e.g., 50,000 iterations for a 20 member group). These sample sizes consistently resulted in modeled distributions having means within 0.5% of the population mean (i.e., the expected claim cost for the plan) and was deemed to provide sufficient credibility for the analysis.

TABLE 8 SILVER PLAN

ACTUAL TO EXPECTED CLAIM VALUE BY GROUP

Employees

10 25 50 100 500

Expected Value per Member $2,827 $2,827 $2,827 $2,644 $2,644

Expected Value per Group $56,548 $141,371 $282,742 $528,707 $2,643,534

Iterations 50,000 20,000 10,000 10,000 10,000

Sample Expected Value $56,659 $141,114 $281,500 $530,735 $2,640,957

Difference 0.19% -0.18% -0.44% 0.38% -0.10% We separate each insured claim into the portion capped by the specific stop-loss deductible, and the specific stop-loss reinsured claim amount, which is the portion of the insured claim cost that exceeds the specific stop-loss deductible. We ran 10,000 to 50,000 iterations and calculated the average group claim amount in which individual claims are capped at the specific stop-loss deductible per iteration. The aggregate percentage attachment factor was applied to the average group claim amount capped at the specific stop-loss deductible to calculate the aggregate dollar attachment point for the group. Any Iteration in which a group’s claim amount with each individual claim capped at the specific stop-loss deductible exceeded the aggregate attachment point resulted in an aggregate stop-loss claim. The aggregate stop-loss claim amount is the amount in excess of the aggregate attachment point, and the portion of the group claim capped at the aggregate attachment point is the retained claim amount. The aggregate stop-loss claim amount and the specific stop-loss claim amount summed together is the ceded claim amount. The NAIC instructed us to determine aggregate factors by Specific Stop-loss limit and group size, so that:

1) The expected value of the retained claim amounts would equal the expected value of the ceded claim amounts;



May 24, 2012

2) The standard deviation of the retained claim amounts would equal the standard deviation of the ceded claim amounts;

Results are shown in Tables 2 and 3 of the Results section and in Attachments 2 and 3. VARIATION BY PLAN DESIGN We tested the sensitivity of the results against other plan designs; a typical Platinum plan (annual deductible of $250 and 10% coinsurance on the next $5,000), a Gold plan (annual deductible of $1,000 and 20% coinsurance on the next $7,500) and a Bronze plan (annual deductible of $5,000 and 10% coinsurance on the next $5,000). These plan design cost-sharing combinations were chosen as being representative of what is offered in the market and also representative of what may equate to the “metal” plans described in PPACA. The analysis assumed coverage for physician office visits and outpatient prescription drugs to be subject to deductible and coinsurance, although we recognize that these services are frequently covered only subject to a copayment. We also recognize that combinations of deductible, coinsurance, and out-of-pocket limits are very numerous in the plan designs offered by health plans and health insurance issuers. Coinsurance levels vary from 0% to 50% and out-of-pocket limits also differ considerably from one plan design option to another. Copayments are required for some services in lieu of or in addition to deductible and coinsurance. It would not be practical to develop results for each possible combination. Each of these plans had their own large group and small group CPDs, shown in Attachment 7. We reran the entire model with these two plans and the results are in Attachments 2 through 6. The following tables compare a few of the results from previously displayed tables for each of the four plans:

TABLE 9 –TABLE 2 VALUES FOR SELECTED SIZES AND SPECIFIC DEDUCTIBLES BY PLAN AGGREGATE STOP-LOSS ATTACHMENT POINT SET SO

EXPECTED VALUE OF CEDED CLAIMS = EXPECTED VALUE OF RETAINED CLAIMS



10 Employees 500 Employees


$20,000 N/A 165% 118% 93% 109% 92% 84% 79%

None 86% 73% 64% 56% 50% 50% 50% 50% In table 9, a group with a bronze plan, a $20,000 specific stop-loss deductible, and 10 employees has plan benefits so low that no aggregate attachment point exists that makes expected retained claims equal to expected ceded claims.



May 24, 2012

TABLE 10 –TABLE 3 VALUES FOR SELECTED SIZES AND SPECIFIC DEDUCTIBLES BY PLAN AGGREGATE STOP-LOSS ATTACHMENT POINT SET SO

STANDARD DEVIATION OF CEDED CLAIMS = STANDARD DEVIATION OF RETAINED CLAIMS



10 Employees 500 Employees


$200,000 400% 326% 297% 248% 116% 113% 111% 108%

None 372% 290% 258% 226% 107% 105% 104% 103%

TABLE 11 –TABLE 4 VALUES FOR SELECTED SPECIFIC DEDUCTIBLES BY PLAN PROBABILITY OF A GROUP WITH 50 EMPLOYEES (100 MEMBERS) EXCEEDING THE

AGGREGATE ATTACHMENT POINT


110% Aggregate Attachment Point



$20,000 36.0% 34.3% 32.4% 27.9% 17.9% 14.4% 10.1% 5.6%

None 31.8% 31.8% 30.3% 30.3% 22.8% 21.4% 19.5% 17.6%

TABLE 12 –TABLE 5 VALUES FOR SELECTED SPECIFIC DEDUCTIBLES BY PLAN 90TH PERCENTILE OF RETAINED CLAIMS AS A PERCENT OF EXPECTED EMPLOYER COSTS

FOR A GROUP WITH 50 EMPLOYEES (100 MEMBERS)





$20,000 110% 109% 109% 108% 117% 118% 118% 115%

None 131% 128% 126% 122% 146% 142% 141% 138%



May 24, 2012

The change across the plans in table 12 at the 130% aggregate attachment point seems inconsistent (increasing then decreasing with benefit level). This is because the 90th percentile of retained claims for each of the bronze, silver, and gold plans are at the maximum level (i.e., the retained claims have hit the aggregate attachment point), while the platinum plan’s 90th percentile of retained claims is not at the maximum level.

TABLE 13 –TABLE 6 VALUES FOR SELECTED SPECIFIC DEDUCTIBLES BY PLAN EXPECTED POLICYHOLDER DEFICIT

FOR A GROUP WITH 50 EMPLOYEES (100 MEMBERS)





$20,000 $10,563 $11,985 $13,156 $14,452 $13,259 $15,255 $16,760 $18,006

None 30,163 32,804 35,179 37,611 36,341 40,093 43,481 47,275



May 24, 2012

VI. LIMITATIONS OF RESULTS The results provided in this report are designed to assist the NAIC in updating the Model Act stop-loss insurance definition. The CPDs developed and used in this analysis have the following limitations:

1. Results are based upon CPDs developed from insurance claims experience before the impact of PPACA health care reforms. Some of these reforms have been implemented during 2010 and 2011, while most of them will not be implemented before 2014. The effect of these reforms on the distribution of claims is currently unknown and has not been considered in the development of these results.

2. The CPD data represents nationwide experience. If it were based on specific state, county, or ZIP code data, the results could vary.

3. The data represents an average 7/1/2012 experience period. Over time, leveraging effects due to claims trend may affect the appropriateness of plan design and other factors when applied to future periods.

4. Each market is subject to certain forces of adverse selection, particularly the small group market, and corresponding underwriting to limit the adverse selection. While the level of claims used in their respective CPDs reflect the claim costs generated by this adverse selection, the distribution of claims for any given carrier is likely to vary somewhat from that assumed in our development work due to differences in underwriting and marketing. Since the frequencies and types of these claims may differ in a post-reform marketplace, the impact may vary from company to company depending on the proportion of pre-reform versus post-reform business in force at the time.

5. The underlying CPDs are representative of today’s insurance market. They should be reevaluated in or after 2014 since distributions and claim variability are likely to change, particularly with the introduction of risk adjustment as required by PPACA §1341 through §1343, which may help to reduce net statistical variability in claims.

6. Some health plans have capitation arrangements with providers. These have the potential to reduce the variability of its experience compared to carriers who do not have such arrangements.

7. Stop-loss arrangements do not always include outpatient prescription drugs, especially when administered separately by a prescription benefit manager (PBM). Our analysis has included drugs the same as other benefits.

8. The underlying CPDs that were used are likely to differ somewhat from the claim probability distributions experienced by any specific health insurer or employer-sponsored health plan. There are numerous characteristics of any one carrier’s blocks of business not considered in the development of the factors shown in this report, which could also contribute to statistical variability of results for smaller blocks. These include differences in demographic characteristics (age, gender, family composition), geographic area, type of health plan, average group sizes, managed care and disease management protocols and requirements, provider network parameters (e.g., discounts, in-network penetration, outlier provisions), average duration of the business, and likely others.



May 24, 2012

9. The analysis has assumed that the expected claim amount agreed to by an employer and its reinsurer is

correct, where in fact there exists a likelihood of uncertainty regarding these estimations. This uncertainty distribution of the expected mean claims has not been included in the results of our analysis.

It is quite likely that there are other limitations related to the use of these recommended factors.



May 24, 2012

VII. Statement of Actuarial Opinion

Jim O'Connor and Erik Huth are consulting actuaries with Milliman, Inc. We are members of the American Academy of Actuaries and meet the Qualification Standards of the American Academy of Actuaries to render the actuarial analyses contained herein.

May 24, 2012 Milliman


LIST OF ATTACHMENTS

1. Charts of Current Criteria vesus Recommended Criteria

Chart 1A - Silver Plan, 50 Employee Group, 120% Aggregate Attachemnt Point, $20,000 Sspecific Stop-Loss Deductible

Chart 1B - Silver Plan, 50 Employee Group, 120% Aggregate Attachemnt Point, $50,000 Specific Stop-Loss Deductible

Chart 2 - Silver Plan, 50 Employee Group, No Specific Stop-Loss Deductible, 110% Aggregate Attachemnt Point versus 120% Aggregate Attachment Point

2. Table 2 - Aggregate Stop-Loss Attachment Points where the Expected Value of Ceded Claims Equals

the Expected Value of Retained Claims

A. Bronze Plan B. Silver Plan C. Gold Plan D. Platinum Plan

3. Table 3 - Aggregate Stop-Loss Attachment Points where the Expected Value of Ceded Claims Equals

the Expected Value of Retained Claims


4. Table 4 - Probability of Employer Group Reaching Aggregate Attachment Point by Group Size


5. Table 5 - 90th Percentile of Actual Claims as a Percent of Expected Claims



May 24, 2012


LIST OF ATTACHMENTS

6. Table 6 - Expected Policyholder Deficit

A. Bronze Plan B. Silver Plan C. Gold Plan D. Platinum Plan E. Bronze Plan (as a Percent of Expected Employer Costs) F. Silver Plan (as a Percent of Expected Employer Costs) G. Gold Plan (as a Percent of Expected Employer Costs) H. Platinum Plan (as a Percent of Expected Employer Costs)

7. Table 7 - Small Group and Large Group Cumulative Probability Distributions


Attachment 1

The difference between the current aggregate level and an alternative aggregate level might best be shown in the following charts. The 10,000 stochastic model iterations are sorted by the employer paid claim cost amountand then grouped into the deciles (e.g. the lowest 10%, the next lowest 10%, etc.). We calculated the average total claims, retained claims and ceded claims (both aggregate and specific) for each decile.

Charts 1A and 1B show the impact of changing the specific stop-loss deductible from $20,000 in Chart 1A to$50,000 in Chart 1B. The charts are for a 50 employee group (100 members) Silver plan with a 120% aggregate attachment point.

$0

$100,000

$200,000

$300,000

$400,000

$500,000

$600,000

$700,000

1 2 3 4 5 6 7 8 9 10

Annual Claim

Cost

Decile

Chart 1A ‐ Silver Plan / 100 EE / 120% Agg / $20K Spec

Total Claim Cost

Retained Claim Cost

Aggregate Claim Cost

Specific Claim Cost

Ceded Claim Cost

$0

$100,000

$200,000

$300,000

$400,000

$500,000

$600,000

$700,000

$800,000

1 2 3 4 5 6 7 8 9 10

Annual Claim

Cost

Decile

Chart 1B ‐ Silver Plan / 100 EE / 120% Agg / $50K Spec

Total Claim Cost

Retained Claim Cost

Aggregate Claim Cost

Specific Claim Cost

Ceded Claim Cost

5/24/2012 Milliman Attachment 1 - Page 1 of 2

Attachment 1 (continued)

Chart 2 shows the impact of changing the aggregate attachment point from 120% to 110% when there is no specific stop-loss insurance included in the reinsurance. The chart is for a 50 employee group (100 members) Silver plan with no specific stop-loss deductible.

$0

$100,000

$200,000

$300,000

$400,000

$500,000

$600,000

$700,000

$800,000

1 2 3 4 5 6 7 8 9 10

Annual Claim

Cost

Decile

Chart 2 ‐ Silver Plan / 100 EE / 110% versus 120% Agg / No Spec

Total Claim Cost

Retained Claim Cost ‐ 120% Agg

Retained Claim Cost ‐ 110% Agg

Ceded Claim Cost ‐ 120% Agg

Ceded Claim Cost ‐ 110% Agg


Attachment 2

Table 2ABRONZE PLAN

Aggregate Stop Loss Attachment Point Set so Expected Value of Ceded Claims = Expected Value of Retained Claims

10 25 50 100 500

$20,000 N / A N / A N / A 134% 109%$30,000 155% 111% 97% 89% 83%$40,000 130% 95% 83% 78% 75%$50,000 121% 86% 76% 72% 69%$60,000 115% 81% 72% 68% 66%$75,000 109% 77% 68% 64% 62%

None 86% 61% 54% 51% 50%

Table 2BSILVER PLAN


10 25 50 100 500

$20,000 165% 124% 109% 99% 92%$30,000 117% 93% 84% 80% 78%$40,000 104% 82% 75% 72% 71%$50,000 98% 76% 70% 67% 67%$60,000 93% 73% 67% 64% 64%$75,000 89% 69% 63% 61% 61%

None 73% 57% 52% 51% 50%

Table 2CGOLD PLAN


10 25 50 100 500

$20,000 118% 98% 91% 87% 84%$30,000 96% 81% 77% 75% 74%$40,000 88% 74% 70% 69% 68%$50,000 83% 70% 66% 65% 64%$60,000 80% 67% 64% 62% 62%$75,000 76% 64% 61% 60% 59%

None 64% 53% 51% 50% 50%

Table 2DPLATINUM PLAN


10 25 50 100 500

$20,000 93% 84% 82% 79% 79%$30,000 80% 73% 72% 70% 70%$40,000 74% 68% 67% 65% 65%$50,000 71% 65% 64% 62% 62%$60,000 68% 63% 61% 60% 60%$75,000 66% 60% 59% 58% 58%

None 56% 52% 51% 50% 50%

Aggregate Attachment FactorSpecific

Stop-Loss Deductible

Employee Size

Employee Size

Employee Size




5/24/2012 Milliman Attachment 2 - Page 1

Attachment 3

Table 3ABRONZE PLAN

Aggregate Stop Loss Attachment Point Set so Standard Deviation of Ceded Claims = Standard Deviation of Retained Claims

10 25 50 100 500

$20,000 N / A N / A N / A N / A N / A

$30,000 N / A N / A N / A N / A N / A

$40,000 N / A N / A N / A N / A N / A

$50,000 N / A N / A N / A N / A N / A

$60,000 N / A N / A N / A N / A N / A

$75,000 N / A N / A N / A N / A N / A

$200,000 400% 211% 163% 144% 116%

None 372% 196% 149% 130% 107%

Table 3B

SILVER PLANAggregate Stop Loss Attachment Point Set so Standard Deviation of

Ceded Claims = Standard Deviation of Retained Claims

10 25 50 100 500

$20,000 N / A N / A N / A N / A N / A

$30,000 N / A N / A N / A N / A N / A

$40,000 N / A N / A N / A N / A N / A

$50,000 N / A N / A N / A N / A N / A

$60,000 N / A N / A N / A N / A N / A

$75,000 N / A N / A N / A N / A N / A

$200,000 326% 198% 161% 136% 113%

None 290% 180% 144% 125% 105%

Table 3C

GOLD PLANAggregate Stop Loss Attachment Point Set so Standard Deviation of

Ceded Claims = Standard Deviation of Retained Claims

10 25 50 100 500

$20,000 N / A N / A N / A N / A N / A$30,000 N / A N / A N / A N / A N / A$40,000 N / A N / A N / A N / A N / A$50,000 N / A N / A N / A N / A N / A$60,000 N / A N / A N / A N / A N / A$75,000 N / A N / A N / A N / A N / A

$200,000 297% 179% 149% 132% 111%None 258% 172% 134% 121% 104%

Table 3DPLATINUM PLAN

SpecificAggregate Stop Loss Attachment Point Set so Standard Deviation of

Ceded Claims = Standard Deviation of Retained ClaimsStop-Loss

Deductible 10 25 50 100 500

$20,000 N / A N / A N / A N / A N / A$30,000 N / A N / A N / A N / A N / A$40,000 N / A N / A N / A N / A N / A$50,000 N / A N / A N / A N / A N / A$60,000 N / A N / A N / A N / A N / A$75,000 N / A N / A N / A N / A N / A

$200,000 248% 166% 141% 123% 108%None 226% 154% 129% 115% 103%

Employee Size

Employee Size

Employee Size

Employee Size





ATTACHMENT 4

Table 4A Table 4B Table 4C Table 4DBRONZE PLAN SILVER PLAN GOLD PLAN PLATINUM PLAN

SpecificProbability of a Group Exceeding the Aggregate Attachment Point

Probability of a Group Exceeding the Aggregate Attachment Point



Stop-Loss Employees Deductible 110% 115% 120% 125% 130% 110% 115% 120% 125% 130% 110% 115% 120% 125% 130% 110% 115% 120% 125% 130%

10 $20,000 38.7% 36.3% 33.9% 31.7% 29.8% 38.7% 35.9% 33.4% 31.2% 29.1% 38.3% 35.1% 31.8% 28.8% 25.9% 37.0% 32.9% 28.9% 25.3% 22.0%10 $30,000 40.9% 37.9% 35.7% 32.9% 30.9% 38.8% 36.1% 33.6% 31.2% 28.9% 38.2% 35.1% 32.2% 29.5% 27.1% 37.2% 33.6% 30.3% 27.2% 24.2%10 $40,000 39.8% 38.4% 37.0% 35.7% 34.5% 40.1% 37.5% 35.0% 32.5% 30.2% 38.1% 35.1% 32.4% 29.7% 27.3% 37.3% 33.9% 30.6% 27.6% 24.8%10 $50,000 37.5% 36.1% 34.9% 33.6% 32.5% 38.7% 37.0% 35.3% 33.1% 31.1% 38.6% 36.1% 33.6% 31.0% 28.7% 37.5% 34.3% 31.3% 28.4% 25.7%10 $60,000 35.9% 34.5% 33.4% 32.2% 30.9% 37.3% 35.8% 34.1% 32.7% 31.3% 37.6% 35.6% 33.8% 31.7% 29.6% 37.2% 34.4% 31.8% 29.2% 26.5%10 $75,000 34.0% 32.8% 31.7% 30.2% 29.0% 35.4% 33.7% 32.2% 30.7% 29.4% 35.1% 33.3% 31.5% 30.0% 28.5% 35.5% 33.3% 31.1% 29.1% 27.1%10 None 27.3% 26.1% 25.1% 24.1% 22.8% 28.2% 26.7% 25.4% 24.1% 23.0% 28.3% 26.6% 25.1% 23.6% 22.2% 28.4% 26.4% 24.7% 22.9% 21.3%

25 $20,000 38.4% 34.8% 31.3% 27.9% 24.9% 37.3% 32.8% 29.0% 25.2% 21.6% 36.0% 30.7% 25.9% 21.4% 17.4% 32.9% 26.6% 21.3% 16.6% 12.6%25 $30,000 38.3% 35.2% 31.9% 28.9% 26.0% 38.0% 34.0% 30.2% 26.6% 23.3% 35.9% 31.1% 26.8% 23.0% 19.7% 34.1% 28.5% 23.5% 19.3% 15.3%25 $40,000 39.3% 36.0% 32.9% 30.1% 27.4% 37.2% 33.7% 30.3% 27.1% 24.0% 36.3% 32.2% 28.0% 24.5% 21.2% 35.4% 30.1% 25.6% 21.3% 17.5%25 $50,000 38.1% 35.2% 32.5% 29.7% 27.4% 38.3% 34.6% 31.2% 28.1% 25.3% 36.3% 32.1% 28.2% 24.8% 21.7% 35.0% 30.5% 26.1% 22.1% 18.5%25 $60,000 38.1% 35.3% 32.6% 29.9% 27.6% 37.3% 34.2% 31.2% 28.2% 25.5% 36.7% 32.8% 29.4% 25.9% 22.9% 35.2% 30.6% 26.5% 22.8% 19.1%25 $75,000 38.1% 35.1% 32.4% 30.0% 27.6% 38.1% 34.9% 31.8% 28.9% 26.4% 37.1% 33.6% 30.1% 26.8% 23.9% 34.9% 30.7% 26.8% 23.5% 20.1%25 None 30.9% 29.0% 27.2% 25.6% 24.0% 30.8% 28.8% 26.6% 24.7% 23.1% 30.4% 27.8% 25.5% 23.4% 21.5% 30.3% 27.5% 25.0% 22.7% 20.6%

50 $20,000 36.0% 30.8% 26.0% 21.4% 17.9% 34.3% 28.5% 23.1% 18.4% 14.4% 32.4% 25.3% 19.3% 14.1% 10.1% 27.9% 19.6% 13.4% 9.0% 5.6%50 $30,000 37.0% 32.0% 27.6% 23.9% 20.5% 36.0% 30.5% 25.3% 20.9% 16.9% 32.6% 26.6% 20.9% 16.0% 12.3% 30.7% 23.3% 16.9% 11.9% 8.1%50 $40,000 37.9% 33.0% 28.5% 24.7% 21.0% 35.8% 30.3% 25.8% 21.6% 17.9% 34.2% 28.3% 22.7% 18.0% 14.0% 31.5% 24.6% 18.9% 13.8% 10.1%50 $50,000 37.3% 32.7% 28.8% 25.3% 22.0% 35.4% 30.9% 26.6% 22.7% 19.0% 33.8% 28.5% 23.4% 19.4% 15.6% 32.2% 25.3% 19.7% 15.2% 11.7%50 $60,000 37.6% 33.3% 29.4% 26.1% 23.2% 36.6% 31.9% 27.3% 23.4% 19.7% 34.4% 29.4% 24.7% 20.2% 16.3% 32.8% 26.6% 20.9% 16.2% 12.4%50 $75,000 36.9% 33.1% 29.7% 26.5% 23.3% 36.6% 32.2% 28.2% 24.4% 21.0% 35.2% 29.9% 25.6% 21.5% 18.0% 32.6% 26.8% 21.8% 17.1% 13.6%50 None 31.8% 29.2% 26.9% 24.7% 22.8% 31.8% 28.9% 26.2% 23.7% 21.4% 30.3% 27.1% 24.3% 21.6% 19.5% 30.3% 26.4% 23.1% 20.2% 17.6%

100 $20,000 32.4% 25.9% 20.6% 15.5% 10.8% 30.6% 22.7% 16.2% 11.3% 7.8% 27.0% 18.5% 11.7% 7.0% 3.9% 22.1% 13.0% 7.1% 3.6% 1.6%100 $30,000 34.3% 27.4% 22.1% 17.1% 12.6% 31.1% 24.4% 18.1% 13.0% 9.2% 28.6% 20.3% 14.2% 9.6% 6.0% 24.8% 15.9% 9.2% 5.3% 3.0%100 $40,000 34.0% 28.4% 23.0% 18.5% 14.1% 32.3% 25.6% 19.5% 14.9% 10.9% 29.9% 22.0% 15.7% 10.9% 7.2% 25.9% 17.2% 11.0% 6.9% 4.1%100 $50,000 34.0% 28.7% 23.8% 19.2% 14.8% 33.1% 26.5% 21.0% 16.1% 12.0% 30.4% 23.1% 17.2% 12.2% 8.3% 26.6% 18.5% 12.2% 8.1% 5.2%100 $60,000 35.6% 30.0% 25.2% 20.7% 16.0% 34.1% 28.2% 22.7% 17.8% 13.7% 32.0% 24.4% 18.6% 13.8% 9.9% 28.8% 20.2% 13.9% 9.8% 6.4%100 $75,000 36.5% 31.6% 26.6% 22.3% 17.9% 34.2% 28.2% 22.9% 18.5% 14.8% 31.5% 24.9% 19.2% 14.2% 10.7% 30.0% 22.4% 16.4% 11.3% 7.5%100 None 32.5% 29.2% 25.9% 23.2% 20.5% 31.1% 27.3% 23.7% 20.3% 17.7% 30.4% 26.1% 22.3% 19.2% 16.5% 29.5% 24.5% 20.2% 16.9% 13.8%

500 $20,000 18.4% 9.4% 4.3% 1.8% 0.4% 13.6% 5.2% 1.8% 0.4% 0.1% 8.9% 2.5% 0.5% 0.1% 0.0% 5.3% 0.8% 0.1% 0.0% 0.0%500 $30,000 20.0% 11.6% 5.5% 2.4% 0.7% 15.7% 7.1% 2.7% 0.9% 0.3% 12.3% 4.0% 1.0% 0.2% 0.0% 7.3% 1.5% 0.2% 0.0% 0.0%500 $40,000 21.4% 12.1% 6.1% 3.0% 1.1% 17.3% 8.4% 3.3% 1.1% 0.4% 13.0% 5.1% 1.5% 0.4% 0.1% 8.5% 2.2% 0.5% 0.1% 0.0%500 $50,000 23.1% 13.9% 7.6% 3.7% 1.6% 19.5% 10.1% 4.5% 1.7% 0.5% 14.5% 6.0% 2.2% 0.7% 0.1% 10.5% 3.1% 0.8% 0.2% 0.0%500 $60,000 23.1% 13.9% 7.8% 4.1% 1.7% 20.5% 11.0% 5.2% 2.2% 0.8% 15.7% 7.2% 2.7% 0.8% 0.2% 11.1% 3.6% 0.9% 0.2% 0.0%500 $75,000 24.0% 15.3% 9.0% 5.2% 2.3% 20.5% 11.5% 6.0% 2.5% 0.9% 17.8% 8.6% 3.6% 1.2% 0.4% 12.5% 5.0% 1.3% 0.3% 0.1%500 None 28.7% 22.3% 16.8% 12.5% 9.5% 26.5% 19.8% 14.0% 9.9% 7.2% 24.9% 17.0% 11.5% 7.7% 5.1% 21.2% 13.7% 8.2% 5.1% 3.1%

Aggregate Attachment FactorAggregate Attachment Factor Aggregate Attachment Factor Aggregate Attachment Factor


ATTACHMENT 5


Specific90th Percentile of Retained Claims & Expected Ceded Claims as a Percent of Expected Retained & Expected Ceded Claims

90th Percentile of Retained Claims & Expected Ceded Claims as a Percent of Expected Retained & Expected Ceded Claims




10 $20,000 118% 120% 121% 123% 125% 117% 118% 120% 122% 124% 115% 117% 119% 121% 123% 114% 116% 118% 121% 123%10 $30,000 123% 125% 127% 129% 131% 121% 123% 125% 127% 129% 119% 121% 124% 126% 128% 117% 120% 122% 125% 127%10 $40,000 128% 130% 132% 134% 136% 124% 126% 129% 131% 133% 123% 125% 127% 130% 132% 120% 122% 125% 128% 131%10 $50,000 131% 133% 136% 138% 140% 128% 130% 133% 135% 138% 125% 127% 130% 133% 135% 122% 125% 127% 130% 133%10 $60,000 134% 136% 139% 141% 144% 130% 132% 135% 137% 140% 127% 129% 132% 135% 137% 124% 126% 129% 132% 135%10 $75,000 137% 140% 143% 146% 148% 133% 136% 138% 141% 144% 130% 133% 135% 138% 141% 126% 129% 132% 135% 138%10 None 152% 156% 160% 164% 167% 147% 150% 154% 158% 162% 142% 146% 149% 153% 157% 137% 141% 144% 148% 152%

25 $20,000 113% 114% 116% 118% 119% 112% 113% 115% 117% 119% 111% 113% 115% 117% 120% 110% 113% 115% 118% 120%25 $30,000 116% 118% 120% 122% 124% 115% 117% 119% 121% 124% 114% 116% 118% 121% 124% 113% 115% 118% 120% 123%25 $40,000 119% 121% 123% 125% 127% 117% 119% 122% 124% 127% 116% 118% 121% 123% 126% 114% 117% 119% 122% 125%25 $50,000 121% 124% 126% 128% 131% 118% 121% 123% 126% 129% 117% 120% 123% 126% 128% 116% 119% 122% 125% 128%25 $60,000 123% 125% 128% 131% 133% 121% 123% 126% 129% 131% 119% 121% 124% 127% 130% 117% 120% 123% 126% 129%25 $75,000 125% 128% 130% 133% 136% 122% 125% 127% 130% 133% 120% 123% 126% 129% 132% 118% 121% 124% 128% 131%25 None 139% 142% 146% 149% 153% 134% 138% 142% 145% 149% 131% 135% 139% 142% 146% 127% 131% 135% 138% 142%

50 $20,000 110% 111% 113% 115% 117% 109% 111% 113% 115% 118% 109% 111% 113% 116% 118% 108% 111% 113% 115% 115%50 $30,000 113% 114% 117% 119% 121% 111% 113% 115% 118% 120% 111% 113% 116% 118% 121% 110% 113% 116% 119% 120%50 $40,000 114% 116% 119% 121% 124% 113% 116% 118% 121% 124% 112% 115% 117% 120% 123% 111% 114% 117% 120% 124%50 $50,000 116% 119% 121% 124% 126% 115% 117% 120% 123% 126% 114% 117% 119% 122% 126% 113% 116% 119% 122% 126%50 $60,000 118% 120% 123% 125% 128% 116% 118% 121% 124% 127% 114% 117% 120% 123% 127% 114% 116% 120% 123% 127%50 $75,000 120% 122% 125% 128% 131% 117% 120% 123% 126% 129% 115% 118% 121% 124% 128% 115% 118% 121% 125% 128%50 None 131% 135% 139% 142% 146% 128% 131% 135% 138% 142% 126% 129% 133% 137% 141% 122% 126% 130% 134% 138%

100 $20,000 108% 110% 112% 114% 116% 108% 110% 112% 114% 115% 108% 110% 112% 113% 113% 108% 110% 111% 111% 111%100 $30,000 110% 112% 114% 117% 119% 110% 112% 115% 117% 120% 109% 112% 115% 117% 117% 109% 112% 114% 114% 114%100 $40,000 112% 114% 117% 119% 122% 111% 114% 116% 119% 122% 110% 113% 116% 119% 120% 110% 113% 116% 117% 116%100 $50,000 113% 116% 118% 121% 124% 112% 115% 118% 121% 124% 111% 114% 117% 121% 122% 111% 114% 117% 119% 119%100 $60,000 114% 116% 119% 122% 125% 113% 115% 118% 121% 125% 112% 115% 118% 121% 125% 111% 114% 118% 121% 121%100 $75,000 115% 117% 120% 123% 126% 114% 117% 120% 123% 127% 113% 116% 119% 123% 127% 112% 115% 118% 122% 123%100 None 125% 128% 132% 136% 139% 123% 126% 130% 134% 138% 120% 124% 128% 132% 136% 118% 122% 126% 130% 134%

500 $20,000 106% 108% 107% 107% 107% 106% 107% 107% 106% 106% 106% 106% 106% 106% 106% 105% 105% 105% 105% 105%500 $30,000 107% 110% 110% 110% 109% 107% 109% 108% 108% 108% 107% 108% 108% 108% 108% 107% 106% 106% 106% 106%500 $40,000 108% 111% 111% 111% 111% 108% 110% 110% 110% 110% 108% 109% 109% 109% 109% 107% 107% 107% 107% 107%500 $50,000 108% 111% 113% 113% 112% 108% 112% 111% 111% 111% 108% 110% 110% 110% 110% 108% 108% 108% 108% 108%500 $60,000 109% 112% 114% 114% 113% 109% 112% 112% 112% 112% 109% 111% 111% 111% 111% 109% 109% 109% 109% 109%500 $75,000 110% 113% 116% 116% 115% 110% 113% 114% 114% 113% 109% 112% 112% 112% 112% 109% 110% 110% 110% 110%500 None 115% 119% 123% 127% 131% 114% 118% 122% 126% 126% 113% 117% 121% 122% 122% 112% 116% 119% 119% 118%



ATTACHMENT 6


Specific Expected Policyholder Deficit Expected Policyholder Deficit Expected Policyholder Deficit Expected Policyholder DeficitStop-Loss

Employees Deductible 110% 115% 120% 125% 130% 110% 115% 120% 125% 130% 110% 115% 120% 125% 130% 110% 115% 120% 125% 130%

10 $20,000 $4,160 $4,337 $4,505 $4,664 $4,814 $4,556 $4,795 $5,025 $5,245 $5,455 $4,954 $5,261 $5,550 $5,820 $6,069 $5,491 $5,879 $6,235 $6,556 $6,84410 $30,000 5,269 5,511 5,741 5,958 6,163 5,798 6,084 6,355 6,612 6,853 6,234 6,586 6,918 7,231 7,523 6,790 7,236 7,652 8,037 8,39210 $40,000 5,939 6,220 6,495 6,765 7,030 6,644 6,986 7,312 7,619 7,910 7,160 7,557 7,931 8,281 8,609 7,756 8,245 8,700 9,122 9,51110 $50,000 6,415 6,705 6,991 7,270 7,544 7,172 7,541 7,900 8,246 8,577 7,780 8,225 8,648 9,048 9,425 8,502 9,036 9,535 9,998 10,42710 $60,000 6,715 7,015 7,308 7,595 7,875 7,584 7,962 8,331 8,690 9,039 8,196 8,657 9,104 9,534 9,944 8,958 9,520 10,053 10,554 11,02110 $75,000 7,113 7,419 7,719 8,009 8,293 8,000 8,386 8,761 9,124 9,477 8,648 9,109 9,556 9,987 10,404 9,457 10,032 10,584 11,112 11,61410 None 8,782 9,112 9,430 9,741 10,040 9,796 10,201 10,591 10,967 11,329 10,556 11,034 11,491 11,928 12,345 11,520 12,100 12,651 13,173 13,664

25 $20,000 $7,033 $7,475 $7,888 $8,270 $8,618 $7,834 $8,401 $8,921 $9,390 $9,808 $8,618 $9,323 $9,947 $10,486 $10,939 $9,599 $10,442 $11,151 $11,732 $12,19125 $30,000 8,928 9,460 9,962 10,428 10,862 9,907 10,592 11,224 11,800 12,320 10,853 11,664 12,392 13,039 13,611 11,800 12,790 13,649 14,384 14,99425 $40,000 10,485 11,098 11,675 12,219 12,724 11,393 12,141 12,841 13,490 14,084 12,388 13,291 14,116 14,862 15,531 13,611 14,730 15,722 16,583 17,31725 $50,000 11,690 12,334 12,945 13,523 14,067 12,572 13,390 14,153 14,860 15,515 13,672 14,634 15,510 16,307 17,026 15,133 16,307 17,362 18,287 19,08925 $60,000 12,662 13,345 13,996 14,610 15,188 13,786 14,636 15,440 16,193 16,888 14,738 15,753 16,692 17,557 18,341 16,125 17,356 18,463 19,449 20,30825 $75,000 13,692 14,433 15,129 15,787 16,406 14,933 15,842 16,698 17,499 18,246 15,943 17,029 18,042 18,974 19,826 17,272 18,555 19,726 20,781 21,71725 None 18,159 19,014 19,833 20,610 21,352 19,754 20,785 21,763 22,684 23,561 21,286 22,477 23,595 24,644 25,627 22,894 24,345 25,698 26,955 28,122

50 $20,000 $10,563 $11,378 $12,102 $12,726 $13,259 $11,985 $13,021 $13,911 $14,655 $15,255 $13,156 $14,393 $15,400 $16,182 $16,760 $14,452 $15,830 $16,838 $17,540 $18,00650 $30,000 13,646 14,660 15,576 16,394 17,119 14,992 16,266 17,382 18,341 19,139 16,206 17,674 18,911 19,912 20,700 18,336 20,091 21,465 22,489 23,22550 $40,000 15,712 16,860 17,904 18,838 19,664 17,641 19,042 20,276 21,354 22,274 18,606 20,263 21,675 22,847 23,790 20,638 22,575 24,163 25,395 26,32150 $50,000 17,782 19,021 20,148 21,171 22,088 19,495 20,993 22,353 23,556 24,602 21,139 22,902 24,435 25,732 26,835 23,246 25,358 27,083 28,473 29,56550 $60,000 19,286 20,608 21,823 22,931 23,935 21,039 22,666 24,122 25,405 26,533 22,245 24,123 25,791 27,223 28,420 24,900 27,149 29,018 30,526 31,70950 $75,000 21,114 22,505 23,796 24,991 26,075 22,813 24,533 26,091 27,493 28,730 24,117 26,108 27,880 29,442 30,789 26,996 29,332 31,330 32,986 34,33350 None 30,163 31,848 33,437 34,933 36,341 32,804 34,837 36,726 38,474 40,093 35,179 37,489 39,632 41,587 43,381 37,611 40,425 42,956 45,234 47,275

100 $20,000 $15,699 $17,088 $18,248 $19,179 $20,541 $17,846 $19,561 $20,875 $21,830 $22,511 $19,503 $21,454 $22,791 $23,644 $24,149 $21,872 $23,898 $25,096 $25,746 $26,060100 $30,000 19,934 21,658 23,109 24,300 26,135 22,567 24,655 26,330 27,602 28,523 24,352 26,714 28,462 29,713 30,544 27,190 29,806 31,500 32,484 33,056100 $40,000 23,103 25,045 26,723 28,122 30,387 26,005 28,362 30,292 31,810 32,973 28,002 30,715 32,788 34,284 35,332 30,869 33,800 35,797 37,099 37,909100 $50,000 25,529 27,647 29,502 31,073 33,694 28,659 31,226 33,379 35,112 36,469 30,815 33,741 36,026 37,776 39,018 33,849 37,079 39,403 40,971 42,032100 $60,000 28,093 30,385 32,385 34,113 37,118 30,708 33,504 35,916 37,901 39,496 33,305 36,500 39,064 41,073 42,557 36,996 40,579 43,189 45,046 46,349100 $75,000 30,181 32,703 34,951 36,901 40,265 33,701 36,635 39,161 41,291 43,042 36,065 39,396 42,116 44,251 45,890 39,166 43,178 46,294 48,570 50,180100 None 46,091 49,165 52,010 54,604 60,571 49,746 53,364 56,611 59,481 62,041 53,550 57,781 61,520 64,824 67,721 57,566 62,575 66,871 70,575 73,694

500 $20,000 $42,222 $45,793 $47,585 $48,386 $50,003 $48,229 $51,377 $52,548 $52,884 $52,968 $52,614 $55,048 $55,602 $55,700 $55,711 $57,384 $58,908 $59,129 $59,147 $59,149500 $30,000 53,780 58,604 61,266 62,504 64,893 60,170 64,668 66,584 67,280 67,492 66,540 70,655 71,857 72,141 72,192 72,421 75,116 75,656 75,714 75,717500 $40,000 62,429 68,066 71,232 72,802 76,006 70,640 76,242 78,813 79,788 80,106 75,609 80,548 82,348 82,862 82,977 83,123 86,766 87,685 87,835 87,853500 $50,000 69,118 75,799 79,794 81,915 85,873 78,316 85,125 88,564 90,030 90,568 83,419 89,264 91,612 92,445 92,675 91,589 96,458 97,835 98,198 98,276500 $60,000 75,828 82,746 86,999 89,349 93,928 83,359 91,028 95,083 96,913 97,672 91,218 98,170 101,199 102,185 102,469 99,324 104,940 106,560 106,940 107,007500 $75,000 83,284 91,125 96,179 99,241 104,716 92,072 100,227 104,801 107,029 107,919 98,725 106,958 110,930 112,474 112,993 108,883 115,777 118,188 118,782 118,935500 None 134,787 147,589 157,852 165,843 182,601 146,228 160,726 171,694 179,726 185,649 156,531 172,512 183,754 191,520 196,786 170,369 186,816 197,529 204,319 208,532



ATTACHMENT 6 (Continued)

Table 6E Table 6F Table 6G Table 6HBRONZE PLAN SILVER PLAN PLATINUM PLAN PLATINUM PLAN

Expected Policyholder Deficit Expected Policyholder Deficit Expected Policyholder Deficit Expected Policyholder DeficitSpecific as a Percent of Expected Employer Costs as a Percent of Expected Employer Costs as a Percent of Expected Employer Costs as a Percent of Expected Employer Costs


10 $20,000 9.2% 9.6% 9.9% 10.3% 10.6% 8.1% 8.5% 8.9% 9.3% 9.6% 6.6% 7.1% 7.5% 7.9% 8.3% 6.6% 7.1% 7.5% 7.9% 8.3%10 $30,000 11.6% 12.1% 12.7% 13.1% 13.6% 10.3% 10.8% 11.2% 11.7% 12.1% 8.2% 8.7% 9.3% 9.7% 10.1% 8.2% 8.7% 9.3% 9.7% 10.1%10 $40,000 13.1% 13.7% 14.3% 14.9% 15.5% 11.7% 12.4% 12.9% 13.5% 14.0% 9.4% 10.0% 10.5% 11.0% 11.5% 9.4% 10.0% 10.5% 11.0% 11.5%10 $50,000 14.1% 14.8% 15.4% 16.0% 16.6% 12.7% 13.3% 14.0% 14.6% 15.2% 10.3% 10.9% 11.5% 12.1% 12.6% 10.3% 10.9% 11.5% 12.1% 12.6%10 $60,000 14.8% 15.5% 16.1% 16.7% 17.4% 13.4% 14.1% 14.7% 15.4% 16.0% 10.8% 11.5% 12.2% 12.8% 13.3% 10.8% 11.5% 12.2% 12.8% 13.3%10 $75,000 15.7% 16.4% 17.0% 17.7% 18.3% 14.1% 14.8% 15.5% 16.1% 16.8% 11.4% 12.1% 12.8% 13.4% 14.0% 11.4% 12.1% 12.8% 13.4% 14.0%10 None 19.4% 20.1% 20.8% 21.5% 22.1% 17.3% 18.0% 18.7% 19.4% 20.0% 13.9% 14.6% 15.3% 15.9% 16.5% 13.9% 14.6% 15.3% 15.9% 16.5%

25 $20,000 6.2% 6.6% 7.0% 7.3% 7.6% 5.5% 5.9% 6.3% 6.6% 6.9% 4.6% 5.0% 5.4% 5.7% 5.9% 4.6% 5.0% 5.4% 5.7% 5.9%25 $30,000 7.9% 8.3% 8.8% 9.2% 9.6% 7.0% 7.5% 7.9% 8.3% 8.7% 5.7% 6.2% 6.6% 7.0% 7.3% 5.7% 6.2% 6.6% 7.0% 7.3%25 $40,000 9.2% 9.8% 10.3% 10.8% 11.2% 8.1% 8.6% 9.1% 9.5% 10.0% 6.6% 7.1% 7.6% 8.0% 8.4% 6.6% 7.1% 7.6% 8.0% 8.4%25 $50,000 10.3% 10.9% 11.4% 11.9% 12.4% 8.9% 9.5% 10.0% 10.5% 11.0% 7.3% 7.9% 8.4% 8.8% 9.2% 7.3% 7.9% 8.4% 8.8% 9.2%25 $60,000 11.2% 11.8% 12.3% 12.9% 13.4% 9.8% 10.4% 10.9% 11.5% 11.9% 7.8% 8.4% 8.9% 9.4% 9.8% 7.8% 8.4% 8.9% 9.4% 9.8%25 $75,000 12.1% 12.7% 13.3% 13.9% 14.5% 10.6% 11.2% 11.8% 12.4% 12.9% 8.4% 9.0% 9.5% 10.0% 10.5% 8.4% 9.0% 9.5% 10.0% 10.5%25 None 16.0% 16.8% 17.5% 18.2% 18.8% 14.0% 14.7% 15.4% 16.0% 16.7% 11.1% 11.8% 12.4% 13.0% 13.6% 11.1% 11.8% 12.4% 13.0% 13.6%

50 $20,000 4.7% 5.0% 5.3% 5.6% 5.8% 4.2% 4.6% 4.9% 5.2% 5.4% 3.5% 3.8% 4.1% 4.2% 4.4% 3.5% 3.8% 4.1% 4.2% 4.4%50 $30,000 6.0% 6.5% 6.9% 7.2% 7.5% 5.3% 5.8% 6.1% 6.5% 6.8% 4.4% 4.9% 5.2% 5.4% 5.6% 4.4% 4.9% 5.2% 5.4% 5.6%50 $40,000 6.9% 7.4% 7.9% 8.3% 8.7% 6.2% 6.7% 7.2% 7.6% 7.9% 5.0% 5.5% 5.8% 6.1% 6.4% 5.0% 5.5% 5.8% 6.1% 6.4%50 $50,000 7.8% 8.4% 8.9% 9.3% 9.7% 6.9% 7.4% 7.9% 8.3% 8.7% 5.6% 6.1% 6.5% 6.9% 7.1% 5.6% 6.1% 6.5% 6.9% 7.1%50 $60,000 8.5% 9.1% 9.6% 10.1% 10.6% 7.4% 8.0% 8.5% 9.0% 9.4% 6.0% 6.6% 7.0% 7.4% 7.7% 6.0% 6.6% 7.0% 7.4% 7.7%50 $75,000 9.3% 9.9% 10.5% 11.0% 11.5% 8.1% 8.7% 9.2% 9.7% 10.2% 6.5% 7.1% 7.6% 8.0% 8.3% 6.5% 7.1% 7.6% 8.0% 8.3%50 None 13.3% 14.0% 14.7% 15.4% 16.0% 11.6% 12.3% 13.0% 13.6% 14.2% 9.1% 9.8% 10.4% 10.9% 11.4% 9.1% 9.8% 10.4% 10.9% 11.4%

100 $20,000 3.7% 4.0% 4.3% 4.5% 4.5% 3.4% 3.7% 3.9% 4.1% 4.3% 2.8% 3.1% 3.2% 3.3% 3.3% 2.8% 3.1% 3.2% 3.3% 3.3%100 $30,000 4.7% 5.1% 5.5% 5.8% 5.8% 4.3% 4.7% 5.0% 5.2% 5.4% 3.5% 3.8% 4.0% 4.2% 4.2% 3.5% 3.8% 4.0% 4.2% 4.2%100 $40,000 5.5% 5.9% 6.3% 6.7% 6.7% 4.9% 5.4% 5.7% 6.0% 6.2% 4.0% 4.3% 4.6% 4.8% 4.9% 4.0% 4.3% 4.6% 4.8% 4.9%100 $50,000 6.0% 6.5% 7.0% 7.4% 7.4% 5.4% 5.9% 6.3% 6.6% 6.9% 4.3% 4.7% 5.0% 5.2% 5.4% 4.3% 4.7% 5.0% 5.2% 5.4%100 $60,000 6.7% 7.2% 7.7% 8.1% 8.2% 5.8% 6.3% 6.8% 7.2% 7.5% 4.7% 5.2% 5.5% 5.8% 5.9% 4.7% 5.2% 5.5% 5.8% 5.9%100 $75,000 7.1% 7.7% 8.3% 8.7% 8.9% 6.4% 6.9% 7.4% 7.8% 8.1% 5.0% 5.5% 5.9% 6.2% 6.4% 5.0% 5.5% 5.9% 6.2% 6.4%100 None 10.9% 11.6% 12.3% 12.9% 13.4% 9.4% 10.1% 10.7% 11.3% 11.7% 7.4% 8.0% 8.6% 9.0% 9.4% 7.4% 8.0% 8.6% 9.0% 9.4%

500 $20,000 2.0% 2.2% 2.3% 2.3% 2.2% 1.8% 1.9% 2.0% 2.0% 2.0% 1.5% 1.5% 1.5% 1.5% 1.5% 1.5% 1.5% 1.5% 1.5% 1.5%500 $30,000 2.5% 2.8% 2.9% 3.0% 2.9% 2.3% 2.4% 2.5% 2.5% 2.6% 1.9% 1.9% 1.9% 1.9% 1.9% 1.9% 1.9% 1.9% 1.9% 1.9%500 $40,000 3.0% 3.2% 3.4% 3.4% 3.4% 2.7% 2.9% 3.0% 3.0% 3.0% 2.1% 2.2% 2.2% 2.3% 2.3% 2.1% 2.2% 2.2% 2.3% 2.3%500 $50,000 3.3% 3.6% 3.8% 3.9% 3.8% 3.0% 3.2% 3.4% 3.4% 3.4% 2.3% 2.5% 2.5% 2.5% 2.5% 2.3% 2.5% 2.5% 2.5% 2.5%500 $60,000 3.6% 3.9% 4.1% 4.2% 4.1% 3.2% 3.4% 3.6% 3.7% 3.7% 2.5% 2.7% 2.7% 2.7% 2.7% 2.5% 2.7% 2.7% 2.7% 2.7%500 $75,000 3.9% 4.3% 4.6% 4.7% 4.6% 3.5% 3.8% 4.0% 4.0% 4.1% 2.8% 3.0% 3.0% 3.0% 3.0% 2.8% 3.0% 3.0% 3.0% 3.0%500 None 6.4% 7.0% 7.5% 7.9% 8.0% 5.5% 6.1% 6.5% 6.8% 7.0% 4.4% 4.8% 5.1% 5.2% 5.3% 4.4% 4.8% 5.1% 5.2% 5.3%

Aggregate Attachment Factor Aggregate Attachment Factor Aggregate Attachment Factor Aggregate Attachment Factor


Attachment 7

Attachment 7ACPDs Used in Simulation Model - Bronze Plan

Small Group CPD (Table 12) Large Group CPD Table 5)Allowed Paid Allowed Paid

Probability Amount Amount Probability Amount Amount0.178921 $0 $0 0.178921 $0 $00.019800 $13 $0 0.019800 $12 $00.017749 $41 $0 0.017749 $39 $00.021911 $67 $0 0.021911 $64 $00.021945 $94 $0 0.021945 $89 $00.020536 $121 $0 0.020536 $114 $00.018426 $148 $0 0.018426 $140 $00.017038 $174 $0 0.017038 $165 $00.015985 $201 $0 0.015985 $190 $00.015032 $228 $0 0.015032 $216 $00.014367 $253 $0 0.014367 $240 $00.026739 $293 $0 0.026739 $277 $00.024322 $346 $0 0.024322 $328 $00.022181 $399 $0 0.022181 $378 $00.020348 $452 $0 0.020348 $428 $00.018643 $501 $0 0.018643 $475 $00.017335 $554 $0 0.017335 $525 $00.016029 $607 $0 0.016029 $575 $00.014962 $659 $0 0.014962 $624 $00.013855 $712 $0 0.013855 $674 $00.013110 $765 $0 0.013110 $724 $00.012377 $817 $0 0.012377 $774 $00.011669 $870 $0 0.011669 $824 $00.010990 $922 $0 0.010990 $874 $00.010438 $974 $0 0.010438 $922 $00.009867 $1,026 $0 0.009867 $972 $00.022519 $1,118 $0 0.022519 $1,059 $00.019990 $1,250 $0 0.019990 $1,184 $00.017817 $1,381 $0 0.017817 $1,308 $00.016077 $1,513 $0 0.016077 $1,433 $00.014483 $1,644 $0 0.014483 $1,557 $00.013232 $1,778 $0 0.013232 $1,684 $00.012065 $1,909 $0 0.012065 $1,808 $00.011097 $2,040 $0 0.011097 $1,932 $00.010202 $2,171 $0 0.010202 $2,056 $00.009391 $2,302 $0 0.009391 $2,181 $00.008805 $2,434 $0 0.008805 $2,305 $00.008225 $2,565 $0 0.008225 $2,429 $00.014864 $2,746 $0 0.014864 $2,601 $00.013076 $3,007 $0 0.013076 $2,848 $00.011636 $3,269 $0 0.011636 $3,096 $00.010388 $3,531 $0 0.010388 $3,344 $00.009273 $3,792 $0 0.009273 $3,591 $00.008379 $4,054 $0 0.008379 $3,840 $00.007734 $4,315 $0 0.007734 $4,087 $00.007019 $4,571 $0 0.007019 $4,330 $00.006427 $4,833 $0 0.006427 $4,577 $00.005893 $5,094 $84 0.005893 $4,824 $00.010514 $5,486 $437 0.010514 $5,196 $1760.009110 $6,009 $908 0.009110 $5,692 $6230.007952 $6,532 $1,379 0.007952 $6,187 $1,0680.007096 $7,056 $1,850 0.007096 $6,683 $1,5140.006318 $7,579 $2,321 0.006318 $7,178 $1,9600.013227 $8,471 $3,124 0.013227 $8,023 $2,7210.010585 $9,783 $4,305 0.010585 $9,266 $3,8390.008619 $11,089 $5,589 0.008619 $10,503 $5,0030.007146 $12,404 $6,904 0.007146 $11,748 $6,2480.005946 $13,713 $8,213 0.005946 $12,988 $7,4880.005045 $15,023 $9,523 0.005045 $14,229 $8,7290.007895 $16,938 $11,438 0.007895 $16,043 $10,5430.005769 $22,015 $16,515 0.005769 $20,852 $15,3520.004461 $24,963 $19,463 0.004461 $23,643 $18,1430.003384 $27,913 $22,413 0.003384 $26,437 $20,9370.002741 $30,841 $25,341 0.002741 $29,210 $23,7100.002237 $33,800 $28,300 0.002237 $32,013 $26,5130.001883 $36,746 $31,246 0.001883 $34,803 $29,3030.001611 $39,680 $34,180 0.001611 $37,582 $32,0820.001375 $42,645 $37,145 0.001375 $40,391 $34,8910.001193 $45,561 $40,061 0.001193 $43,153 $37,6530.001935 $49,920 $44,420 0.001935 $47,281 $41,7810.001537 $55,808 $50,308 0.001537 $52,858 $47,3580.002163 $64,217 $58,717 0.002163 $60,823 $55,3230.001490 $75,734 $70,234 0.001490 $71,730 $66,2300.001079 $87,237 $81,737 0.001079 $82,625 $77,1250.000788 $98,560 $93,060 0.000788 $93,350 $87,8500.000599 $109,841 $104,341 0.000599 $104,035 $98,5350.000457 $120,991 $115,491 0.000457 $114,595 $109,0950.000368 $132,274 $126,774 0.000368 $125,282 $119,7820.000483 $147,115 $141,615 0.000483 $139,338 $133,8380.000489 $170,620 $165,120 0.000489 $161,601 $156,1010.000326 $198,753 $193,253 0.000326 $188,246 $182,7460.000217 $226,259 $220,759 0.000217 $214,299 $208,7990.000162 $254,268 $248,768 0.000162 $240,827 $235,3270.000164 $287,598 $282,098 0.000164 $272,396 $266,8960.000146 $334,359 $328,859 0.000146 $316,685 $311,1850.000090 $389,463 $383,963 0.000090 $368,875 $363,3750.000063 $442,961 $437,461 0.000063 $419,546 $414,0460.000045 $521,919 $516,419 0.000045 $494,330 $488,8300.000071 $596,536 $591,036 0.000071 $565,003 $559,5030.000033 $797,297 $791,797 0.000033 $755,151 $749,6510.000009 $1,059,861 $1,054,361 0.000009 $1,003,835 $998,3350.000004 $1,373,840 $1,368,340 0.000004 $1,301,217 $1,295,7170.000003 $1,653,048 $1,647,548 0.000003 $1,565,666 $1,560,1660.000001 $1,869,502 $1,864,002 0.000001 $1,770,678 $1,765,1780.000001 $2,132,761 $2,127,261 0.000001 $2,020,021 $2,014,5210.000001 $2,755,102 $2,749,602 0.000001 $2,609,464 $2,603,964

5/24/2012 Milliman Page 1 of 4

Attachment 7 Continued

Attachment 7BCPDs Used in Simulation Model - Silver Plan


Probability Amount Amount Probability Amount Amount0.132269 $0 $0 0.132269 $0 $00.020925 $13 $0 0.020925 $12 $00.018758 $41 $0 0.018758 $39 $00.023156 $67 $0 0.023156 $64 $00.023191 $94 $0 0.023191 $89 $00.021703 $121 $0 0.021703 $114 $00.019473 $148 $0 0.019473 $140 $00.018006 $174 $0 0.018006 $165 $00.016893 $201 $0 0.016893 $190 $00.015886 $228 $0 0.015886 $216 $00.015184 $253 $0 0.015184 $240 $00.028259 $293 $0 0.028259 $277 $00.025704 $346 $0 0.025704 $328 $00.023442 $399 $0 0.023442 $378 $00.021504 $452 $0 0.021504 $428 $00.019702 $501 $0 0.019702 $475 $00.018320 $554 $0 0.018320 $525 $00.016939 $607 $0 0.016939 $575 $00.015813 $659 $0 0.015813 $624 $00.014642 $712 $0 0.014642 $674 $00.013855 $765 $0 0.013855 $724 $00.013080 $817 $0 0.013080 $774 $00.012332 $870 $0 0.012332 $824 $00.011614 $922 $0 0.011614 $874 $00.011032 $974 $0 0.011032 $922 $00.010427 $1,026 $0 0.010427 $972 $00.023798 $1,118 $0 0.023798 $1,059 $00.021126 $1,250 $0 0.021126 $1,184 $00.018830 $1,381 $0 0.018830 $1,308 $00.016991 $1,513 $0 0.016991 $1,433 $00.015306 $1,644 $0 0.015306 $1,557 $00.013984 $1,778 $0 0.013984 $1,684 $00.012750 $1,909 $0 0.012750 $1,808 $00.011727 $2,040 $0 0.011727 $1,932 $00.010782 $2,171 $0 0.010782 $2,056 $00.009924 $2,302 $0 0.009924 $2,181 $00.009305 $2,434 $0 0.009305 $2,305 $00.008692 $2,565 $52 0.008692 $2,429 $00.015709 $2,746 $197 0.015709 $2,601 $810.013819 $3,007 $406 0.013819 $2,848 $2790.012297 $3,269 $615 0.012297 $3,096 $4770.010978 $3,531 $825 0.010978 $3,344 $6750.009800 $3,792 $1,034 0.009800 $3,591 $8730.008855 $4,054 $1,243 0.008855 $3,840 $1,0720.008173 $4,315 $1,452 0.008173 $4,087 $1,2700.007417 $4,571 $1,657 0.007417 $4,330 $1,4640.006792 $4,833 $1,866 0.006792 $4,577 $1,6620.006228 $5,094 $2,075 0.006228 $4,824 $1,8590.011111 $5,486 $2,389 0.011111 $5,196 $2,1570.009627 $6,009 $2,807 0.009627 $5,692 $2,5530.008404 $6,532 $3,226 0.008404 $6,187 $2,9500.007500 $7,056 $3,645 0.007500 $6,683 $3,3460.006677 $7,579 $4,079 0.006677 $7,178 $3,7420.013979 $8,471 $4,971 0.013979 $8,023 $4,5230.011187 $9,783 $6,283 0.011187 $9,266 $5,7660.009108 $11,089 $7,589 0.009108 $10,503 $7,0030.007552 $12,404 $8,904 0.007552 $11,748 $8,2480.006284 $13,713 $10,213 0.006284 $12,988 $9,4880.005332 $15,023 $11,523 0.005332 $14,229 $10,7290.008343 $16,938 $13,438 0.008343 $16,043 $12,5430.006097 $22,015 $18,515 0.006097 $20,852 $17,3520.004714 $24,963 $21,463 0.004714 $23,643 $20,1430.003576 $27,913 $24,413 0.003576 $26,437 $22,9370.002897 $30,841 $27,341 0.002897 $29,210 $25,7100.002364 $33,800 $30,300 0.002364 $32,013 $28,5130.001990 $36,746 $33,246 0.001990 $34,803 $31,3030.001702 $39,680 $36,180 0.001702 $37,582 $34,0820.001453 $42,645 $39,145 0.001453 $40,391 $36,8910.001261 $45,561 $42,061 0.001261 $43,153 $39,6530.002045 $49,920 $46,420 0.002045 $47,281 $43,7810.001624 $55,808 $52,308 0.001624 $52,858 $49,3580.002286 $64,217 $60,717 0.002286 $60,823 $57,3230.001575 $75,734 $72,234 0.001575 $71,730 $68,2300.001140 $87,237 $83,737 0.001140 $82,625 $79,1250.000833 $98,560 $95,060 0.000833 $93,350 $89,8500.000633 $109,841 $106,341 0.000633 $104,035 $100,5350.000483 $120,991 $117,491 0.000483 $114,595 $111,0950.000388 $132,274 $128,774 0.000388 $125,282 $121,7820.000511 $147,115 $143,615 0.000511 $139,338 $135,8380.000517 $170,620 $167,120 0.000517 $161,601 $158,1010.000345 $198,753 $195,253 0.000345 $188,246 $184,7460.000229 $226,259 $222,759 0.000229 $214,299 $210,7990.000171 $254,268 $250,768 0.000171 $240,827 $237,3270.000173 $287,598 $284,098 0.000173 $272,396 $268,8960.000154 $334,359 $330,859 0.000154 $316,685 $313,1850.000095 $389,463 $385,963 0.000095 $368,875 $365,3750.000067 $442,961 $439,461 0.000067 $419,546 $416,0460.000047 $521,919 $518,419 0.000047 $494,330 $490,8300.000075 $596,536 $593,036 0.000075 $565,003 $561,5030.000035 $797,297 $793,797 0.000035 $755,151 $751,6510.000010 $1,059,861 $1,056,361 0.000010 $1,003,835 $1,000,3350.000004 $1,373,840 $1,370,340 0.000004 $1,301,217 $1,297,7170.000003 $1,653,048 $1,649,548 0.000003 $1,565,666 $1,562,1660.000001 $1,869,502 $1,866,002 0.000001 $1,770,678 $1,767,1780.000001 $2,132,761 $2,129,261 0.000001 $2,020,021 $2,016,5210.000001 $2,755,102 $2,751,602 0.000001 $2,609,464 $2,605,964



Attachment 7CCPDs Used in Simulation Model - Gold Plan

Small Group CPD (Table 11) Large Group CPD (Table 4)Allowed Paid Allowed Paid

Probability Amount Amount Probability Amount Amount0.085617 $0 $0 0.085617 $0 $00.022050 $13 $0 0.022050 $12 $00.019766 $41 $0 0.019766 $39 $00.024401 $67 $0 0.024401 $64 $00.024438 $94 $0 0.024438 $89 $00.022870 $121 $0 0.022870 $114 $00.020520 $148 $0 0.020520 $140 $00.018974 $174 $0 0.018974 $165 $00.017801 $201 $0 0.017801 $190 $00.016740 $228 $0 0.016740 $216 $00.016000 $253 $0 0.016000 $240 $00.029778 $293 $0 0.029778 $277 $00.027086 $346 $0 0.027086 $328 $00.024702 $399 $0 0.024702 $378 $00.022660 $452 $0 0.022660 $428 $00.020761 $501 $0 0.020761 $475 $00.019305 $554 $0 0.019305 $525 $00.017850 $607 $0 0.017850 $575 $00.016663 $659 $0 0.016663 $624 $00.015430 $712 $0 0.015430 $674 $00.014600 $765 $0 0.014600 $724 $00.013783 $817 $0 0.013783 $774 $00.012995 $870 $0 0.012995 $824 $00.012239 $922 $0 0.012239 $874 $00.011625 $974 $0 0.011625 $922 $00.010988 $1,026 $21 0.010988 $972 $00.025077 $1,118 $95 0.025077 $1,059 $470.022262 $1,250 $200 0.022262 $1,184 $1470.019842 $1,381 $305 0.019842 $1,308 $2460.017904 $1,513 $410 0.017904 $1,433 $3460.016129 $1,644 $515 0.016129 $1,557 $4460.014736 $1,778 $622 0.014736 $1,684 $5470.013436 $1,909 $727 0.013436 $1,808 $6460.012358 $2,040 $832 0.012358 $1,932 $7460.011362 $2,171 $937 0.011362 $2,056 $8450.010458 $2,302 $1,042 0.010458 $2,181 $9450.009805 $2,434 $1,147 0.009805 $2,305 $1,0440.009160 $2,565 $1,252 0.009160 $2,429 $1,1440.016553 $2,746 $1,397 0.016553 $2,601 $1,2810.014562 $3,007 $1,606 0.014562 $2,848 $1,4790.012958 $3,269 $1,815 0.012958 $3,096 $1,6770.011569 $3,531 $2,025 0.011569 $3,344 $1,8750.010327 $3,792 $2,234 0.010327 $3,591 $2,0730.009331 $4,054 $2,443 0.009331 $3,840 $2,2720.008613 $4,315 $2,652 0.008613 $4,087 $2,4700.007816 $4,571 $2,857 0.007816 $4,330 $2,6640.007157 $4,833 $3,066 0.007157 $4,577 $2,8620.006563 $5,094 $3,275 0.006563 $4,824 $3,0590.011709 $5,486 $3,589 0.011709 $5,196 $3,3570.010145 $6,009 $4,007 0.010145 $5,692 $3,7530.008856 $6,532 $4,426 0.008856 $6,187 $4,1500.007903 $7,056 $4,845 0.007903 $6,683 $4,5460.007036 $7,579 $5,263 0.007036 $7,178 $4,9420.014730 $8,471 $5,977 0.014730 $8,023 $5,6180.011788 $9,783 $7,283 0.011788 $9,266 $6,7660.009598 $11,089 $8,589 0.009598 $10,503 $8,0030.007958 $12,404 $9,904 0.007958 $11,748 $9,2480.006622 $13,713 $11,213 0.006622 $12,988 $10,4880.005619 $15,023 $12,523 0.005619 $14,229 $11,7290.008792 $16,938 $14,438 0.008792 $16,043 $13,5430.006425 $22,015 $19,515 0.006425 $20,852 $18,3520.004968 $24,963 $22,463 0.004968 $23,643 $21,1430.003769 $27,913 $25,413 0.003769 $26,437 $23,9370.003053 $30,841 $28,341 0.003053 $29,210 $26,7100.002491 $33,800 $31,300 0.002491 $32,013 $29,5130.002097 $36,746 $34,246 0.002097 $34,803 $32,3030.001794 $39,680 $37,180 0.001794 $37,582 $35,0820.001531 $42,645 $40,145 0.001531 $40,391 $37,8910.001329 $45,561 $43,061 0.001329 $43,153 $40,6530.002155 $49,920 $47,420 0.002155 $47,281 $44,7810.001712 $55,808 $53,308 0.001712 $52,858 $50,3580.002409 $64,217 $61,717 0.002409 $60,823 $58,3230.001659 $75,734 $73,234 0.001659 $71,730 $69,2300.001201 $87,237 $84,737 0.001201 $82,625 $80,1250.000878 $98,560 $96,060 0.000878 $93,350 $90,8500.000667 $109,841 $107,341 0.000667 $104,035 $101,5350.000509 $120,991 $118,491 0.000509 $114,595 $112,0950.000409 $132,274 $129,774 0.000409 $125,282 $122,7820.000538 $147,115 $144,615 0.000538 $139,338 $136,8380.000545 $170,620 $168,120 0.000545 $161,601 $159,1010.000364 $198,753 $196,253 0.000364 $188,246 $185,7460.000241 $226,259 $223,759 0.000241 $214,299 $211,7990.000180 $254,268 $251,768 0.000180 $240,827 $238,3270.000183 $287,598 $285,098 0.000183 $272,396 $269,8960.000162 $334,359 $331,859 0.000162 $316,685 $314,1850.000100 $389,463 $386,963 0.000100 $368,875 $366,3750.000070 $442,961 $440,461 0.000070 $419,546 $417,0460.000050 $521,919 $519,419 0.000050 $494,330 $491,8300.000079 $596,536 $594,036 0.000079 $565,003 $562,5030.000037 $797,297 $794,797 0.000037 $755,151 $752,6510.000010 $1,059,861 $1,057,361 0.000010 $1,003,835 $1,001,3350.000005 $1,373,840 $1,371,340 0.000005 $1,301,217 $1,298,7170.000003 $1,653,048 $1,650,548 0.000003 $1,565,666 $1,563,1660.000001 $1,869,502 $1,867,002 0.000001 $1,770,678 $1,768,1780.000001 $2,132,761 $2,130,261 0.000001 $2,020,021 $2,017,5210.000001 $2,755,102 $2,752,602 0.000001 $2,609,464 $2,606,964



Attachment 7DCPDs Used in Simulation Model - Platinum Plan


Probability Amount Amount Probability Amount Amount0.038965 $0 $0 0.038965 $0 $00.023175 $13 $0 0.023175 $12 $00.020775 $41 $0 0.020775 $39 $00.025646 $67 $0 0.025646 $64 $00.025685 $94 $0 0.025685 $89 $00.024037 $121 $0 0.024037 $114 $00.021567 $148 $0 0.021567 $140 $00.019942 $174 $0 0.019942 $165 $00.018709 $201 $0 0.018709 $190 $00.017595 $228 $0 0.017595 $216 $00.016816 $253 $3 0.016816 $240 $00.031297 $293 $39 0.031297 $277 $250.028468 $346 $86 0.028468 $328 $700.025962 $399 $134 0.025962 $378 $1150.023817 $452 $182 0.023817 $428 $1600.021821 $501 $226 0.021821 $475 $2020.020290 $554 $274 0.020290 $525 $2470.018761 $607 $321 0.018761 $575 $2920.017513 $659 $368 0.017513 $624 $3370.016217 $712 $416 0.016217 $674 $3820.015344 $765 $463 0.015344 $724 $4270.014487 $817 $511 0.014487 $774 $4720.013658 $870 $558 0.013658 $824 $5160.012863 $922 $605 0.012863 $874 $5610.012218 $974 $651 0.012218 $922 $6050.011548 $1,026 $699 0.011548 $972 $6500.026357 $1,118 $782 0.026357 $1,059 $7280.023398 $1,250 $900 0.023398 $1,184 $8400.020854 $1,381 $1,018 0.020854 $1,308 $9520.018818 $1,513 $1,136 0.018818 $1,433 $1,0640.016952 $1,644 $1,255 0.016952 $1,557 $1,1760.015488 $1,778 $1,375 0.015488 $1,684 $1,2900.014121 $1,909 $1,493 0.014121 $1,808 $1,4020.012988 $2,040 $1,611 0.012988 $1,932 $1,5140.011941 $2,171 $1,729 0.011941 $2,056 $1,6260.010991 $2,302 $1,847 0.010991 $2,181 $1,7380.010305 $2,434 $1,966 0.010305 $2,305 $1,8500.009627 $2,565 $2,084 0.009627 $2,429 $1,9610.017398 $2,746 $2,246 0.017398 $2,601 $2,1160.015305 $3,007 $2,481 0.015305 $2,848 $2,3380.013619 $3,269 $2,717 0.013619 $3,096 $2,5610.012159 $3,531 $2,953 0.012159 $3,344 $2,7850.010854 $3,792 $3,188 0.010854 $3,591 $3,0070.009807 $4,054 $3,424 0.009807 $3,840 $3,2310.009052 $4,315 $3,659 0.009052 $4,087 $3,4530.008215 $4,571 $3,889 0.008215 $4,330 $3,6720.007522 $4,833 $4,125 0.007522 $4,577 $3,8950.006898 $5,094 $4,359 0.006898 $4,824 $4,1170.012306 $5,486 $4,736 0.012306 $5,196 $4,4510.010663 $6,009 $5,259 0.010663 $5,692 $4,9420.009307 $6,532 $5,782 0.009307 $6,187 $5,4370.008306 $7,056 $6,306 0.008306 $6,683 $5,9330.007395 $7,579 $6,829 0.007395 $7,178 $6,4280.015482 $8,471 $7,721 0.015482 $8,023 $7,2730.012390 $9,783 $9,033 0.012390 $9,266 $8,5160.010088 $11,089 $10,339 0.010088 $10,503 $9,7530.008364 $12,404 $11,654 0.008364 $11,748 $10,9980.006959 $13,713 $12,963 0.006959 $12,988 $12,2380.005905 $15,023 $14,273 0.005905 $14,229 $13,4790.009241 $16,938 $16,188 0.009241 $16,043 $15,2930.006752 $22,015 $21,265 0.006752 $20,852 $20,1020.005221 $24,963 $24,213 0.005221 $23,643 $22,8930.003961 $27,913 $27,163 0.003961 $26,437 $25,6870.003208 $30,841 $30,091 0.003208 $29,210 $28,4600.002619 $33,800 $33,050 0.002619 $32,013 $31,2630.002204 $36,746 $35,996 0.002204 $34,803 $34,0530.001885 $39,680 $38,930 0.001885 $37,582 $36,8320.001610 $42,645 $41,895 0.001610 $40,391 $39,6410.001396 $45,561 $44,811 0.001396 $43,153 $42,4030.002265 $49,920 $49,170 0.002265 $47,281 $46,5310.001799 $55,808 $55,058 0.001799 $52,858 $52,1080.002532 $64,217 $63,467 0.002532 $60,823 $60,0730.001744 $75,734 $74,984 0.001744 $71,730 $70,9800.001262 $87,237 $86,487 0.001262 $82,625 $81,8750.000923 $98,560 $97,810 0.000923 $93,350 $92,6000.000701 $109,841 $109,091 0.000701 $104,035 $103,2850.000534 $120,991 $120,241 0.000534 $114,595 $113,8450.000430 $132,274 $131,524 0.000430 $125,282 $124,5320.000566 $147,115 $146,365 0.000566 $139,338 $138,5880.000572 $170,620 $169,870 0.000572 $161,601 $160,8510.000382 $198,753 $198,003 0.000382 $188,246 $187,4960.000254 $226,259 $225,509 0.000254 $214,299 $213,5490.000189 $254,268 $253,518 0.000189 $240,827 $240,0770.000192 $287,598 $286,848 0.000192 $272,396 $271,6460.000171 $334,359 $333,609 0.000171 $316,685 $315,9350.000105 $389,463 $388,713 0.000105 $368,875 $368,1250.000074 $442,961 $442,211 0.000074 $419,546 $418,7960.000052 $521,919 $521,169 0.000052 $494,330 $493,5800.000083 $596,536 $595,786 0.000083 $565,003 $564,2530.000039 $797,297 $796,547 0.000039 $755,151 $754,4010.000011 $1,059,861 $1,059,111 0.000011 $1,003,835 $1,003,0850.000005 $1,373,840 $1,373,090 0.000005 $1,301,217 $1,300,4670.000003 $1,653,048 $1,652,298 0.000003 $1,565,666 $1,564,9160.000001 $1,869,502 $1,868,752 0.000001 $1,770,678 $1,769,9280.000001 $2,132,761 $2,132,011 0.000001 $2,020,021 $2,019,2710.000001 $2,755,102 $2,754,352 0.000001 $2,609,464 $2,608,714


Statistical Modeling and Analysis of Stop-Loss Insurance ... · Statistical Modeling and Analysis...

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