UnitedHealthcare Insurance Co v. Xavier Becerra ( 2021 )


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  •  United States Court of Appeals
    FOR THE DISTRICT OF COLUMBIA CIRCUIT
    Argued November 3, 2020            Decided August 13, 2021
    No. 18-5326
    UNITEDHEALTHCARE INSURANCE COMPANY, ET AL.,
    APPELLEES
    v.
    XAVIER BECERRA, IN HIS OFFICIAL CAPACITY AS SECRETARY
    OF HEALTH AND HUMAN SERVICES, ET AL.,
    APPELLANTS
    Appeal from the United States District Court
    for the District of Columbia
    (No. 1:16-cv-00157)
    Weili J. Shaw, Attorney, U.S. Department of Justice,
    argued the cause for appellants. With him on the briefs were
    Ethan P. Davis, Acting Assistant Attorney General, and Mark
    B. Stern, Attorney. Michael S. Raab, Attorney, entered an
    appearance.
    Daniel Meron argued the cause for appellees. With him
    on the brief was Matthew M. Shors.
    David W. Ogden, Brian M. Boynton, and Kevin M. Lamb
    were on the brief for amicus curiae America’s Health
    Insurance Plans in support of appellees.
    2
    Before: ROGERS, PILLARD and WALKER, Circuit Judges.
    Opinion for the Court filed by Circuit Judge PILLARD.
    PILLARD, Circuit Judge: UnitedHealthcare Insurance
    Company and other Medicare Advantage insurers under the
    umbrella of UnitedHealth Group Incorporated (collectively,
    UnitedHealth) challenge a rule the Centers for Medicare and
    Medicaid Services (CMS) promulgated under the Medicare
    statute, 
    42 U.S.C. §§ 1301
    -1320d-8, 1395-1395hhh. The
    Overpayment Rule is part of the government’s ongoing effort
    to trim unnecessary costs from the Medicare Advantage
    program. Neither Congress nor CMS has ever treated an
    unsupported diagnosis for a beneficiary as valid grounds for
    payment to a Medicare Advantage insurer. Consistent with
    that approach, the Overpayment Rule requires that, if an
    insurer learns a diagnosis it submitted to CMS for payment
    lacks support in the beneficiary’s medical record, the insurer
    must refund that payment within sixty days. The Rule
    couldn’t be simpler. But understanding UnitedHealth’s
    challenge requires a bit of context.
    As explained in more detail below, people who are
    eligible for Medicare may elect to receive their health
    insurance through a private insurer under Medicare
    Advantage rather than directly through the government under
    traditional Medicare, and approximately forty percent of
    beneficiaries have chosen Medicare Advantage. CMS pays
    private Medicare Advantage insurers, in a prospective lump
    sum each month, the amount it expects a month’s care would
    otherwise cost CMS in direct payments to healthcare
    providers treating the same beneficiaries under traditional
    Medicare. For each Medicare Advantage beneficiary, CMS
    pays the insurer a per-capita amount that varies according to
    3
    demographic characteristics and diagnoses that CMS has
    determined, based on its past experience in traditional
    Medicare, to be predictive of healthcare costs.
    Payments to the Medicare Advantage program depend on
    participating insurers accurately reporting to CMS their
    beneficiaries’ salient demographic information and medically
    documented diagnosis codes. To better control erroneous
    payments, including those garnered from reported—but
    unsupported—diagnoses, Congress in 2010 amended the
    Medicare program’s data-integrity provisions.            The
    amendment specified a sixty-day deadline for reporting and
    returning identified overpayments and confirmed that such
    payments not promptly returned may trigger liability under
    the False Claims Act. See 
    id.
     § 1320a-7k(d). CMS
    promulgated the Overpayment Rule to implement those
    controls on Medicare Advantage. See 
    42 C.F.R. § 422.326
    .
    As relevant here, the Overpayment Rule establishes that, if a
    Medicare Advantage insurer has received a payment
    increment for a beneficiary’s diagnosis and discovers that
    there is no basis for that payment in the underlying medical
    records, that is an overpayment that the insurer must correct
    by reporting it to CMS within sixty days for refund. See
    Medicare Program; Contract Year 2015 Policy and Technical
    Changes to the Medicare Advantage and the Medicare
    Prescription Drug Benefit Programs, 
    79 Fed. Reg. 29,844
    ,
    29,921 (May 23, 2014) (hereinafter Overpayment Rule), J.A.
    64.
    UnitedHealth claims that it is unambiguous in the text of
    the Medicare statute that the Overpayment Rule is subject to a
    principle of “actuarial equivalence,” and that the Rule fails to
    comply. See 42 U.S.C. § 1395w-23(a)(1)(C)(i). But actuarial
    equivalence does not apply to the Overpayment Rule or the
    statutory overpayment-refund obligation under which it was
    4
    promulgated. Reference to actuarial equivalence appears in a
    different statutory subchapter from the requirement to refund
    overpayments, and neither provision cross-references the
    other. Further, the actuarial-equivalence requirement and the
    overpayment-refund obligation serve different ends. The role
    of the actuarial-equivalence provision is to require CMS to
    model a demographically and medically analogous
    beneficiary population in traditional Medicare to determine
    the prospective lump-sum payments to Medicare Advantage
    insurers. The Overpayment Rule, in contrast, applies after the
    fact to require Medicare Advantage insurers to refund any
    payment increment they obtained based on a diagnosis they
    know lacks support in their beneficiaries’ medical records.
    UnitedHealth contends that the actuarial-equivalence
    principle reaches beyond its statutory home to impose an
    implied—and functionally prohibitive—legal precondition on
    the requirement to return known overpayments.               As
    UnitedHealth would have it, Congress clearly intended
    enforcement of the statutory overpayment-refund obligation,
    which the Overpayment Rule essentially parrots, to depend on
    a prior determination of actuarial equivalence. That principle,
    UnitedHealth says, prevents CMS from recovering
    overpayments under the Rule unless CMS first shows that the
    rate of payment errors to healthcare providers in traditional,
    fee-for-service Medicare is lower than the rate of payment
    errors to the Medicare Advantage insurer, or that CMS
    comprehensively audited the data from traditional Medicare
    before using it in the complex regression model—the CMS
    Hierarchical Condition Category (CMS-HCC) risk-adjustment
    model—that predicts the cost to insure Medicare Advantage
    beneficiaries.
    There is no legal or factual basis for UnitedHealth’s
    claim. Actuarial equivalence is a directive to CMS. It
    5
    describes the goal of the risk-adjustment model Congress
    directed CMS to develop. It does not separately apply to the
    requirement that Medicare Advantage insurers avoid known
    error in their payment requests. It assuredly does not
    unambiguously demand that, before CMS can collect known
    overpayments from Medicare Advantage insurers, it must
    engage in unprecedented self-auditing to eliminate an
    imagined bias in the body of traditional Medicare data CMS
    used in its regressions. The implausibility that Congress
    would have so intended is underscored by the lack of
    parallelism between the context and effects of, on one hand,
    unsupported diagnoses in the traditional Medicare data CMS
    uses to model generally applicable risk factors and, on the
    other, the specific errors the Overpayment Rule targets.
    Even if actuarial equivalence applied as UnitedHealth
    suggests, it would be UnitedHealth’s burden to show the
    systematically skewed inaccuracies on which its theory
    depends, which it has not done. Also fatal to UnitedHealth’s
    claim is that it never challenged the values CMS assigned to
    the risk factors it identified or the level of the capitation
    payments resulting from CMS’s risk-adjustment model. It
    cannot belatedly do so in the guise of a challenge to the
    Overpayment Rule.
    UnitedHealth’s next claim relies on the Medicare
    statute’s requirement that CMS annually compute and publish
    certain traditional Medicare data “using the same
    methodology as is expected to be applied in making
    payments” to Medicare Advantage insurers. Id. § 1395w-
    23(b)(4)(D). That “same methodology” requirement does not
    bear on the overpayment-refund obligation. Meant to
    facilitate Medicare Advantage insurers’ bidding for contracts
    with CMS, that requirement merely clarifies that, in
    computing the data it publishes, CMS must use the same risk-
    6
    adjustment model that it already uses to set monthly payments
    to Medicare Advantage insurers; like the actuarial-
    equivalence requirement, it says nothing about what
    constitutes an “overpayment.”
    UnitedHealth’s final claim is that the Overpayment Rule
    is arbitrary and capricious in violation of the Administrative
    Procedure Act (APA).          That claim hinges on what
    UnitedHealth sees as an unexplained inconsistency between
    the Overpayment Rule and another error-correction
    mechanism to which Medicare Advantage insurers are
    subject: Risk Adjustment Data Validation (RADV) audits.
    With those audits, CMS proposed a systemic adjustment
    involving the traditional Medicare data used to model risk
    factors to account for any errors in that data set before
    requiring any contract-level repayments from insurers.
    UnitedHealth sees inconsistency in obligating repayments
    under the Overpayment Rule without any such adjustment.
    But the system-level adjustment that CMS said it would apply
    in the context of contract-level RADV audits came in direct
    response to concerns about actuarial equivalence. Because
    we hold that the actuarial-equivalence requirement does not
    pertain to the statutory overpayment-refund obligation or the
    Overpayment Rule challenged here, and the two error-
    correction mechanisms are plainly distinguishable in other
    ways, CMS’s one-time intention to apply the adjustment in
    one context but not the other was reasonable.
    In sum, nothing in the Medicare statute’s text, structure,
    or logic applies actuarial equivalence to its separate
    overpayment-refund obligation, and thus the Overpayment
    Rule does not violate actuarial equivalence. For much the
    same reasons, we reject UnitedHealth’s claim that the Rule
    violates the statute’s “same methodology” requirement, and
    we also deny its claim that the Rule is arbitrary and capricious
    7
    as an unexplained departure from prior policy. We therefore
    reverse the district court’s grant of summary judgment to
    UnitedHealth and its resulting vacatur of the Overpayment
    Rule and remand for the district court to enter judgment in
    favor of CMS.
    BACKGROUND
    Overpayment to Medicare Advantage insurers is a serious
    drain on the Medicare program’s finances. In 2016 alone,
    audits of the data submitted by Medicare Advantage insurers
    to CMS showed that CMS paid out an estimated $16.2 billion
    for unsupported diagnoses, equal to “nearly ten cents of every
    dollar paid to Medicare Advantage organizations.” United
    States ex rel. Silingo v. WellPoint, Inc., 
    904 F.3d 667
    , 673
    (9th Cir. 2018) (citing James Cosgrove, U.S. Gov’t
    Accountability Off., GAO-17-761T, Medicare Advantage
    Program Integrity: CMS’s Efforts to Ensure Proper Payments
    1     (2017),    https://www.gao.gov/assets/690/685934.pdf).
    UnitedHealth is the Nation’s largest provider of Medicare
    Advantage plans. Meredith Freed et al., A Dozen Facts About
    Medicare Advantage in 2020, Kaiser Family Found. (Jan. 13,
    2021),      https://www.kff.org/medicare/issue-brief/a-dozen-
    facts-about-medicare-advantage-in-2020/.
    A.      Statutory and regulatory background
    1.
    Since 1965, most older adults and many people with
    disabilities in the United States have received their health
    insurance through Medicare, administered by CMS. In
    Medicare Parts A and B, or “traditional” Medicare, CMS
    itself acts as the insurer, paying healthcare providers directly
    for beneficiaries’ medical services. Medicare Part A covers
    inpatient hospital treatment and other institutional care and is
    8
    generally provided without charge to Medicare-eligible
    individuals. But for outpatient services, like visits to doctors’
    offices, the Medicare statute provides Medicare-eligible
    individuals a choice of whether and how to receive such
    coverage: They can receive that, too, by having the
    government pay providers for services, under Medicare Part
    B; or they can opt for private insurance paid for at least in part
    by the government, under Medicare Part C, also known as
    Medicare     Advantage       (and     formerly     known       as
    Medicare+Choice).
    Unlike Medicare Part A, coverage under Medicare Part B
    and Medicare Advantage generally requires payments from
    beneficiaries to the government or, if applicable, private
    insurance companies. Medicare Advantage insurers must
    provide coverage of at least the same services as Medicare-
    eligible individuals would receive through traditional
    Medicare, 42 U.S.C. § 1395w-22(a), and those private
    insurers often attract subscribers by offering additional
    benefits, such as dental and vision coverage, that they are able
    to include due to efficiencies and other cost-saving measures.
    More than twenty-four million Americans, or nearly forty
    percent of all Medicare beneficiaries, choose to receive their
    health insurance through Medicare Advantage. See generally
    Freed et al., supra.
    Medicare Parts A and B and Medicare Advantage pay
    healthcare providers in different ways. Under Medicare Part
    A, CMS pays a hospital or institutional care provider based on
    a beneficiary’s diagnoses at the time of discharge, which
    translate to a “Diagnosis-Related Group.” Under Medicare
    Part B, CMS pays outpatient providers on a fee-for-service
    basis under fee schedules that set the payment for each service
    provided, such as an office visit, examination, or
    immunization. A beneficiary’s diagnoses do not directly
    9
    affect the level of payment made to a healthcare provider
    under Part B, but because a service is reimbursable only if it
    is “reasonable and necessary for the diagnosis or treatment of
    illness or injury,” 42 U.S.C. § 1395y(a)(1)(A), providers still
    must generally submit diagnosis codes to CMS showing why
    a beneficiary received the services that she did.
    Private Medicare Advantage insurers likewise pay
    healthcare providers based on the services provided to
    beneficiaries but, as noted above, under Part C those insurers
    themselves receive in advance a monthly lump sum from
    CMS for every beneficiary that they enroll, without regard to
    the services that the beneficiaries will actually receive. The
    prospective, lump-sum payment approach has the potential to
    curb costly and unnecessary overtreatment that the fee-for-
    service approach tends to encourage, and it favors
    preventative care and other health-protective measures,
    enabling cost efficiencies that can elude a fee-for-service
    system. See Advance Notice of Methodological Changes for
    CY 2004 Medicare+Choice Payment Rates, at 5 (Mar. 28,
    2003), J.A. 115. The core idea is that a Medicare Advantage
    insurer that covers all of a beneficiary’s health care at least as
    well as traditional Medicare but does so at lower cost may
    pocket the difference as earned revenue, or pass along that
    revenue to beneficiaries in the form of extra benefits meant to
    entice and retain subscribers.
    2.
    It is the Medicare statute that requires CMS to pay
    Medicare Advantage insurers in advance, on a monthly basis,
    for each of the Medicare-eligible beneficiaries that they
    insure. 42 U.S.C. § 1395w-23(a)(1)(A). The statute also
    requires CMS to adjust those monthly, per-capita payments to
    reflect what traditional, fee-for-service Medicare paid in a
    10
    base year for a beneficiary population modeled—by reference
    to demographics, diagnoses, and other factors CMS selects—
    to be actuarially equivalent to the Medicare Advantage
    insurer’s beneficiary population. Id. § 1395w-23(a)(1)(C)(i).
    Specifically, Congress instructed that the Secretary of Health
    and Human Services (HHS)
    shall adjust the payment amount . . . for such risk
    factors as age, disability status, gender, institutional
    status, and such other factors as the Secretary
    determines to be appropriate, including adjustment for
    health status . . . , so as to ensure actuarial
    equivalence. The Secretary may add to, modify, or
    substitute for such adjustment factors if such changes
    will improve the determination of actuarial
    equivalence.
    Id. The point of the Secretary’s discretion to select, and
    obligation to apply, risk factors is “to ensure that [Medicare
    Advantage insurers] are paid appropriately for their plan
    enrollees (that is, less for healthier enrollees and more for less
    healthy enrollees).” Medicare Program; Establishment of the
    Medicare Advantage Program, 
    70 Fed. Reg. 4588
    , 4657 (Jan.
    28, 2005), J.A. 92. Indeed, “the goal of risk adjustment” is
    “to pay [Medicare Advantage] plans accurately.” 152 Cong.
    Rec. S438-02 (daily ed. Feb. 1, 2006) (statement of Sen.
    Grassley).
    Specifically, identifying salient risk factors enables CMS
    to determine prospectively, based on Medicare Advantage
    beneficiaries’ actuarially relevant, known demographic and
    health characteristics, the per-capita payment rate that will
    fairly compensate that Medicare Advantage insurer. More
    broadly, the demographic- and health-adjusted, capitated
    payment scheme is designed to blunt the incentives to enroll
    11
    only the healthiest, and thus least expensive, beneficiaries
    while steering clear of the sickest and costliest—thereby
    rewarding Medicare Advantage insurers to the extent that they
    achieve genuine efficiencies over traditional Medicare in
    addressing the same health conditions. See Gregory C. Pope
    et al., Risk Adjustment of Medicare Capitation Payments
    Using the CMS-HCC Model, Health Care Fin. Rev., Summer
    2004, at 119, 119-20, J.A. 487-88; see also H.R. Rep. No. 105-
    217, at 585 (1997) (Conf. Rep.); H.R. Rep. No. 108-391, at
    524-25 (2003) (Conf. Rep.).
    To adjust the monthly payments, CMS uses a model—
    called the CMS Hierarchical Condition Category, or CMS-
    HCC, risk-adjustment model—that it periodically studies and
    improves based on clinical information and cost data. The
    model isolates demographic characteristics CMS has
    determined to be predictive of differing costs of care,
    including the risk factors expressly mentioned in the statute:
    age, sex, disability status, and whether the beneficiary lives in
    a long-term institutional setting. See 42 U.S.C. § 1395w-
    23(a)(1)(C)(i). It adjusts for health status by isolating cost-
    predictive diagnoses.        CMS uses expert judgment to
    determine, for example, “which diagnosis codes should be
    included, how they should be grouped, and how the
    diagnostic groupings should interact for risk adjustment
    purposes.” Gregory C. Pope et al., Evaluation of the CMS-
    HCC Risk Adjustment Model: Final Report 8 (Mar. 2011),
    J.A. 525. Diagnostic categories must be reasonably specific
    and clinically meaningful. And, to fine-tune its predictive
    utility, CMS’s model accounts for interactions between
    multiple diagnoses where total joint costs are more than
    additive. CMS also establishes a hierarchy of diagnoses to
    avoid double counting, zeroing out the cost effects of less
    severe disease manifestations when a patient also has a more
    12
    severe diagnosis that fully accounts for treatment costs for
    both. Id.
    CMS’s risk-adjustment model applies a regression
    analysis to the mass of data from traditional Medicare for a
    previous year to convert each demographic and health
    characteristic into an expected cost of coverage. See id. at 2,
    J.A. 519. CMS inputs traditional Medicare beneficiaries’
    data, including the diagnosis codes that healthcare providers
    are required to report (even though, as noted above, CMS
    itself bases Medicare Part B payments on services, not
    diagnoses), along with the total cost for covering those
    beneficiaries. The model isolates the anticipated cost of care
    associated with each demographic and health characteristic by
    first determining the average marginal cost of that
    characteristic in dollars and then dividing that dollar amount
    by traditional Medicare’s average cost per beneficiary. That
    process produces a “relative factor” for each demographic and
    health characteristic. The model “use[s] data from a large
    pool of beneficiaries (full sample sizes over 1 million for the
    CMS-HCC models) to estimate predicted costs on average for
    each of the component factors (e.g., age-sex, low income
    status, individual disease groups).” Id. at 5, J.A. 522. Using
    regression analysis on such a vast data sample mutes the
    effect of individual errors in traditional Medicare data, so long
    as errors are not so widespread or systemically skewed as to
    raise or lower the values of particular relative factors. See id.;
    see also Amy Gallo, A Refresher on Regression Analysis,
    Harv. Bus. Rev. (Nov. 4, 2015), https://hbr.org/2015/11/a-
    refresher-on-regression-analysis.
    To enable CMS to apply those relative factors to pay
    Medicare Advantage insurers at the correct risk-adjusted rate,
    the insurers must report to CMS the salient demographic and
    health characteristics of each of their Medicare-eligible
    13
    beneficiaries. 
    42 C.F.R. § 422.310
    (b), (d). CMS then
    combines the relative factors for a particular beneficiary to
    arrive at her individualized overall “risk score.” See Pope et
    al., Evaluation of the CMS-HCC Risk Adjustment Model:
    Final Report 15, J.A. 532. CMS posits that an “average
    beneficiary” in traditional Medicare has a risk score of 1.0. If
    a Medicare Advantage beneficiary has a risk score of exactly
    1.0, CMS pays the insurer the base payment rate for that
    beneficiary’s location. For Medicare Advantage beneficiaries
    with risk scores above 1.0, meaning they are of higher-than-
    average risk, CMS pays insurers more than the base payment
    rate; for beneficiaries with risk scores below 1.0, the
    payments are correspondingly lower than the base rate. But
    Medicare Advantage beneficiaries are not presumptively
    scored as 1.0; the per-capita payments that CMS makes to
    insurers instead depend on an aggregation of the
    beneficiaries’ cost-predictive demographic and diagnostic
    factors.
    CMS illustrates the operation of relative factors with an
    example:
    [U]nder the 2014 model, a 72-year-old woman living
    independently (relative factor 0.348), with diabetes
    without complications (relative factor 0.118), and
    multiple sclerosis (relative factor 0.556) would have a
    total risk score of 1.022, which means that she is
    expected to cost Medicare slightly more than the
    average traditional Medicare beneficiary (who would
    by definition have a risk score of 1.0).
    Gov’t Br. 7 (citing Announcement of CY 2014 Medicare
    Advantage Capitation Rates and Medicare Advantage and
    Part D Payment Policies and Final Call Letter, at 67-68 (Apr.
    1, 2013), J.A. 276-77). In other words, as a woman near the
    14
    younger end of the Medicare-eligible population and living
    outside any long-term institutional setting, this sample
    beneficiary starts with a risk score well below the overall
    Medicare average. The fact that she suffers from diabetes
    raises her risk score, but not by much, presumably because
    she has not experienced complications and ordinary diabetes
    care is not as costly as many other conditions common among
    older Americans. The larger bump, putting her over the
    average predicted cost of care even for the cost-intensive
    Medicare population, is that she suffers from multiple
    sclerosis. A Medicare Advantage insurer providing coverage
    to this woman therefore “would be paid 102.2 percent of the
    relevant base rate.” 
    Id. at 8
    .
    This example illustrates the importance of risk-adjusted
    payment.      Assume a similar woman, but without her
    diagnoses. With a risk score of just 0.348, her care would
    then be predicted to be far less expensive than that of the
    average Medicare beneficiary, whose risk score is, by
    definition, 1.0. If Medicare Advantage insurers were paid an
    unadjusted base rate for every beneficiary, they could receive
    an enormous, and unjustified, net surplus insofar as they
    enrolled beneficiaries with such low anticipated costs.
    Conversely, an unadjusted, per-capita base payment would
    likely fall far short of fairly compensating a Medicare
    Advantage insurer for the costs of care for the woman in the
    example with both of the posited diagnoses, and the shortfall
    would only grow with any added complications or diagnoses
    she developed.
    There is some evidence that Medicare Advantage insurers
    in fact have tended to attract healthier-than-average
    beneficiaries—perhaps because of the additional premiums
    they may charge, and the well-established correlation between
    wealth and health. See Is Medicare Advantage More Efficient
    15
    than Traditional Medicare?, Nat’l Bureau of Econ. Rsch.
    (Mar. 2016), https://www.nber.org/bah/2016no1/medicare-
    advantage-more-efficient-traditional-medicare; see also Pope
    et al., Risk Adjustment of Medicare Capitation Payments
    Using the CMS-HCC Model, at 119-20, J.A. 487-88; Pope et
    al., Evaluation of the CMS-HCC Risk Adjustment Model:
    Final Report 7, J.A. 524. Without the corrective provided by
    risk-adjusting the capitated payment amounts, payment levels
    would not be fair, and incentives to attract the healthy and
    deflect the sick would be overwhelming.
    CMS determines the base payment rate—which, again, is
    the amount a Medicare Advantage insurer would receive for
    any beneficiary with a risk score of exactly 1.0, and which is
    the denominator for calculation of every capitated payment to
    Medicare Advantage—by reference to traditional Medicare’s
    per-capita expenditures in a particular place and bids
    submitted by Medicare Advantage insurers. Each county in
    the United States has its own base rate, and every year
    Medicare Advantage insurers bid for contracts after CMS
    announces each county’s benchmark for the coming year. See
    42 U.S.C. § 1395w-23(b)(1)(B).         To inform Medicare
    Advantage insurers’ bids to participate in the program, the
    Medicare statute requires CMS to compute and publish, on an
    annual basis, the “average risk factor” for traditional
    Medicare beneficiaries in each county.          Id. § 1395w-
    23(b)(4)(D). The statute specifies that the published average
    risk factor must be “based on diagnoses for inpatient and
    other sites of service, using the same methodology as is
    expected to be applied in making payments under subsection
    (a),” i.e., the subsection that includes the actuarial-
    equivalence requirement. Id. UnitedHealth separately claims
    the “same methodology” criterion supports its challenge to the
    Overpayment Rule.
    16
    3.
    CMS’s regulations have long obligated Medicare
    Advantage insurers to certify the accuracy of the data that
    they report to CMS. Since 2000, those regulations have made
    it “a condition for receiving a monthly payment” that a
    Medicare Advantage insurer
    agrees that its chief executive officer (CEO), chief
    financial officer (CFO), or an individual delegated the
    authority to sign on behalf of one of these officers,
    and who reports directly to such officer, must request
    payment under the contract [with CMS] on a
    document that certifies (based on best knowledge,
    information, and belief) the accuracy, completeness,
    and truthfulness of relevant data that CMS requests.
    
    42 C.F.R. § 422.504
    (l); see also United States ex rel. Swoben
    v. UnitedHealthcare Ins. Co., 
    848 F.3d 1161
    , 1168 & n.2 (9th
    Cir. 2016) (citing 
    42 C.F.R. § 422.502
    (l) (2000)). CMS’s
    regulations specifically apply that obligation to the data
    Medicare Advantage insurers report to CMS to identify their
    beneficiaries’ actuarially salient attributes—i.e., demographic
    and health characteristics, including diagnosis codes. See 
    42 C.F.R. § 422.504
    (l)(2) (referencing data reported under 
    42 C.F.R. § 422.310
    ).
    But, as Congress has recognized, even accurate diagnosis
    codes that Medicare Advantage insurers report can lead to
    disproportionately high payments to insurers. That is because
    Medicare Advantage insurers have a financial incentive to
    code intensely—i.e., to make sure that they report to CMS
    their beneficiaries’ every diagnosis—given that their monthly,
    per-capita payments are higher to the extent that their
    beneficiaries have more or graver diagnoses. Meanwhile,
    healthcare providers to traditional Medicare beneficiaries lack
    17
    that same incentive because their payments from CMS depend
    on services rendered, not diagnoses.          See U.S. Gov’t
    Accountability Off., GAO-12-51, Medicare Advantage: CMS
    Should Improve the Accuracy of Risk Score Adjustments for
    Diagnostic Coding Practices 2 (Jan. 2012), J.A. 546. Thus, if
    one were to imagine that traditional Medicare and Medicare
    Advantage had identical populations of beneficiaries, the
    latter would generally end up reporting more diagnoses (and
    therefore appear sicker and receive additional payments) even
    though their true health conditions were the same. To account
    for that difference in incentives and coding practices,
    Congress enacted a Coding Intensity Adjuster that reduces the
    risk scores of all Medicare Advantage beneficiaries by a
    specified percentage.      See Health Care and Education
    Reconciliation Act of 2010, Pub. L. No. 111-152,
    § 1102(e)(3)(D), 
    124 Stat. 1029
    , 1046. For 2019, Congress
    set that reduction at a minimum of 5.9 percent. 42 U.S.C.
    § 1395w-23(a)(1)(C)(ii)(III). The Coding Intensity Adjuster
    does not, however, address unsupported or inaccurate codes
    reported by Medicare Advantage insurers, but only the
    practice, relative to traditional Medicare, of overreporting
    codes that are nonetheless accurate.
    UnitedHealth’s challenge to the Overpayment Rule
    adverts to yet another data-integrity measure providing for
    Risk Adjustment Data Validation, or RADV, audits. To
    supplement the regulatory obligations on Medicare Advantage
    insurers to certify the accuracy of the diagnosis codes and
    other data they report to CMS, and because CMS cannot
    confirm in real time the data insurers submit for their millions
    of beneficiaries, CMS seeks to confirm that its payments to
    insurers are correct by retrospectively spot-checking the data
    submissions going back several years. See 
    42 C.F.R. § 422.310
    (e); see also Medicare Program; Policy and
    Technical Changes to the Medicare Advantage and the
    18
    Medicare Prescription Drug Benefit Programs, 
    74 Fed. Reg. 54,634
    , 54,674 (Oct. 22, 2009), J.A. 96. For these RADV
    audits, CMS selects a subset of Medicare Advantage insurers
    and compares a sample of their reported diagnosis codes to
    the underlying medical charts and records for the relevant
    beneficiaries. See Medicare Program; Policy and Technical
    Changes to the Medicare Advantage and the Medicare
    Prescription Drug Benefit Programs, 74 Fed. Reg. at 54,674,
    J.A. 96. The Medicare Advantage insurers must return to
    CMS any payments that an audit reveals were based on
    unsupported diagnoses—that is, diagnoses reported to CMS
    but that the audit found lack support in the relevant
    beneficiaries’ medical record documentation. See id.
    CMS has conducted such audits for well over a decade,
    and their results show that a significant number of reported
    diagnoses are in fact unsupported. See, e.g., U.S. Dep’t of
    Health & Human Servs., Off. of Inspector Gen., Risk
    Adjustment Data Validation of Payments Made to PacifiCare
    of Texas for Calendar Year 2007, A-06-09-00012, at 4 (May
    2012), J.A. 471 (stating that the risk scores for forty-three out
    of 100 sampled beneficiaries of the audited insurer “were
    invalid because the diagnoses were not supported”); U.S.
    Dep’t of Health & Human Servs., Off. of Inspector Gen., Risk
    Adjustment Data Validation of Payments Made to PacifiCare
    of California for Calendar Year 2007, A-09-09-00045, at i
    (Nov. 2012), J.A. 476 (stating that the risk scores for forty-
    five out of 100 sampled beneficiaries “were invalid because
    the diagnoses were not supported by the documentation that
    [the Medicare Advantage] insurer provided”).
    Medicare Advantage insurers’ obligation to return
    mistaken payments pursuant to RADV audits differs from
    their obligation under the Overpayment Rule: With the
    former, insurers are required to refund payments based on
    19
    unsupported diagnoses that CMS discovers through its audit,
    whereas with the latter, insurers are required to refund
    payments based on unsupported diagnoses that they
    themselves discover through the course of their business.
    CMS also audits traditional Medicare data, although it does so
    through different mechanisms that may result in a lower
    percentage of traditional Medicare payment claims being
    audited than Medicare Advantage ones. See Gov’t Br. 35-38;
    Appellees Br. 42-43.
    In 2008, CMS announced an expansion of its RADV
    audit program for Medicare Advantage: Rather than requiring
    repayments only for the unsupported diagnosis codes
    identified in the limited sample itself, CMS would take the
    payment error in an audited sample, extrapolate that error rate
    across CMS’s entire contract with that Medicare Advantage
    insurer, and require the insurer to make a repayment based on
    the extrapolated, or contract-level, degree of error. See
    Medicare Program; Policy and Technical Changes to the
    Medicare Advantage and the Medicare Prescription Drug
    Benefit Programs, 74 Fed. Reg. at 54,674, J.A. 96; see also
    Announcement of Calendar Year (CY) 2009 Medicare
    Advantage Capitation Rates and Medicare Advantage and
    Part D Payment Policies, at 22 (Apr. 7, 2008). (Because not
    all errors are created equal—that is, some are more costly
    than others—the extrapolated error rate would account for the
    magnitude of the errors by factoring in the difference between
    original and corrected payment amounts in an audited
    sample.) In late 2010, CMS sought comments on its proposal
    for contract-level RADV audits, and in early 2011 various
    commenters, including UnitedHealth and the American
    Academy of Actuaries, objected.
    One criticism the commenters leveled at expanded
    RADV audits was that, “[u]nder sound actuarial principles, it
    20
    is impossible to know whether [Medicare Advantage insurers]
    have been paid accurately by conducting a review of the
    medical records supporting [Medicare Advantage] coding,
    without also considering the medical records supporting
    [traditional Medicare] coding.” Aetna Inc.’s Comments on
    Proposed Payment Error Calculation Methodology for Part C
    Organizations Selected for Contract-Level RADV Audits, at 4
    (Jan. 21, 2011), J.A. 298. In other words, “CMS must audit
    and validate both [a Medicare Advantage insurer’s data and
    the traditional Medicare data that goes into the risk-
    adjustment model] before extrapolating any potential RADV
    audit results” and requiring the insurer to return amounts
    thereby identified as excessive. Humana Inc., Comment on
    RADV Sampling and Error Calculation Methodology, at 3
    (Jan. 21, 2011), J.A. 334. “If it does not, CMS will
    dramatically underpay [Medicare Advantage insurers] for the
    benefits they provided to Medicare beneficiaries,” in violation
    of the Medicare statute’s actuarial-equivalence requirement.
    Id.; see also id. at 5, J.A. 336.
    In a move that UnitedHealth describes as important
    context for this case, CMS responded to the comments by
    announcing in 2012 that it would apply a Fee-for-Service, or
    FFS, Adjuster before requiring repayments based on contract-
    level RADV audits. With the FFS Adjuster, Medicare
    Advantage insurers would be liable for repayments only to the
    extent that their extrapolated, contract-level payment errors,
    i.e., the dollar amounts that they received in error, exceed any
    offsetting payment error in traditional Medicare. CMS said
    that it would determine the actual amount of the FFS Adjuster
    “based on a RADV-like review of records submitted to
    support [traditional Medicare] claims data.” Notice of Final
    Payment Error Calculation Methodology for Part C Medicare
    Advantage RADV Contract-Level Audits, at 5 (Feb. 24,
    2012), J.A. 398.
    21
    But CMS then conducted an empirical study from which
    it discovered that “errors in [traditional Medicare] claims data
    do not have any systematic effect on the risk scores calculated
    by the CMS-HCC risk adjustment model, and therefore do not
    have any systemic effect on the payments made to [Medicare
    Advantage insurers].” CMS, Fee for Service Adjuster and
    Payment Recovery for Contract Level Risk Adjustment Data
    Validation Audits 5 (Oct. 26, 2018) (hereinafter CMS Study),
    J.A. 731. That result is unsurprising. Providers paid on a fee-
    for-service basis, as is the case in Medicare Part B, would
    appear to lack incentives that bear on Medicare Advantage
    insurers to overreport costly diagnoses or other factors
    predictive of worse-than-average health, and any
    underreporting of diagnoses is likely the result of not catching
    the least costly beneficiaries with a given diagnosis (perhaps
    because they require little or no treatment), which would tend
    to reduce the average cost of a particular condition. See Gov’t
    Br. 45-46. And individual errors within the mass of data used
    to model a relative factor would tend to have little to no effect
    on the factor’s value, given the large sample sizes—on the
    order of one million beneficiaries, see Pope et al., Evaluation
    of the CMS-HCC Risk Adjustment Model: Final Report 5, J.A.
    522—together with “the fact that the relative factors are
    summed across each enrollee’s [hierarchical condition
    categories] and then across a plan’s enrollment, lead[ing] the
    inaccuracies to mitigate each other due to offsetting effects,”
    CMS Study at 5, J.A. 731. Based on the study results, CMS
    announced in October 2018 that it would not, after all, use an
    FFS Adjuster for contract-level RADV audits. See CMS
    Study at 5-6, J.A. 731-32. That conclusion is preliminary,
    and the review and rulemaking are ongoing. See Oral Arg.
    Tr. 14:4-22. In the meantime, CMS does not use any FFS
    Adjuster in that context.
    22
    4.
    Against the backdrop of concern about costly errors in
    the data reported by Medicare Advantage insurers, but before
    CMS even solicited comments on the proposed FFS Adjuster
    to contract-level RADV audits it ultimately deemed
    unnecessary, Congress enacted the provision that undergirds
    the Overpayment Rule.            The Patient Protection and
    Affordable Care Act, Pub. L. No. 111-148, 
    124 Stat. 119
    (2010), obligates Medicare Advantage insurers to report and
    return any overpayment that they receive from CMS within
    sixty days of identifying it, 42 U.S.C. § 1320a-7k(d)(1), (2).
    The Act defines “overpayment” as “any funds that a person
    receives or retains under [the Medicare or Medicaid
    programs] to which the person, after applicable reconciliation,
    is not entitled.” Id. § 1320a-7k(d)(4)(B). In section 1320a-
    7k(d)(3), it establishes that failure to report and return a
    known overpayment within sixty days of discovering it
    violates the False Claims Act, 
    31 U.S.C. § 3729
     et seq., which
    carries the potential for treble damages and other serious
    penalties, see 
    id.
     § 3729(a)(1).
    In 2014, CMS promulgated the Overpayment Rule to
    implement the statutory requirement to report and return
    overpayments. The Rule similarly defines “overpayment” as
    “any funds that [a Medicare Advantage insurer] has received
    or retained under [the Medicare Advantage program] to which
    the [Medicare Advantage insurer], after applicable
    reconciliation, is not entitled.” Overpayment Rule, 79 Fed.
    Reg. at 29,958 (codified at 
    42 C.F.R. § 422.326
    (a)), J.A. 85.
    In the Rule’s preamble, CMS explained that, among other
    things, any “diagnosis that has been submitted [by a Medicare
    Advantage insurer] for payment but is found to be invalid
    because it does not have supporting medical record
    23
    documentation would result in an overpayment.”          
    Id. at 29,921
    , J.A. 64.
    One commenter on the proposed Overpayment Rule, a
    Medicare Advantage insurer not a party to this case, had
    objected that it ran afoul of the Medicare statute’s actuarial-
    equivalence requirement because it did not also require an
    adjuster akin to the FFS Adjuster that CMS had proposed two
    years earlier in the context of contract-level RADV audits.
    See id.; see also J.A. 50-51 (comment from Humana on
    proposed rule). In the final Rule, which does not provide for
    such an adjuster, CMS stated that it “disagree[d] with the
    commenter” because the “RADV methodology does not
    change [CMS’s] existing contractual requirement that
    [Medicare Advantage insurers] must certify (based on best
    knowledge, information, and belief) the accuracy,
    completeness, and truthfulness of the risk adjustment data
    they submit to CMS.” Overpayment Rule, 79 Fed. Reg. at
    29,921, J.A. 64.       Nor, said CMS, did the statutory
    overpayment-refund obligation, as implemented by the Rule,
    “change the long-standing risk adjustment data requirement
    that a diagnosis submitted to CMS by [a Medicare Advantage
    insurer] for payment purposes must be supported by medical
    record documentation.” Id. at 29,921-22, J.A. 64-65.
    B.      Factual and procedural history
    UnitedHealth filed this challenge to the Overpayment
    Rule in January 2016. Following the district court’s denial of
    CMS’s motion to dismiss in March 2017, the parties cross-
    moved for summary judgment. On September 7, 2018, the
    court granted UnitedHealth’s motion in full and vacated the
    Overpayment Rule. See UnitedHealthcare Ins. Co. v. Azar,
    
    330 F. Supp. 3d 173
    , 192 (D.D.C. 2018).
    24
    The district court held that the Overpayment Rule
    violated the Medicare statute’s requirement of “actuarial
    equivalence.” 
    Id. at 187
    . It concluded that the Rule would
    “inevitabl[y]” lead to the loss of actuarial equivalence, 
    id. at 185
    , because “payments for care under traditional Medicare
    and Medicare Advantage are both set annually based on costs
    from unaudited traditional Medicare records, but the 2014
    Overpayment Rule systematically devalues payments to
    Medicare Advantage insurers by measuring ‘overpayments’
    based on audited patient records,” 
    id. at 184
    . The court
    emphasized that CMS had actually “recognized and
    mitigated” “the same actuarial problem” when, in 2012, it
    provisionally committed to using an FFS Adjuster for
    contract-level RADV audits to account for the fact that
    extrapolating an error rate across a Medicare Advantage
    insurer’s entire contract effectively corrected for any
    unsupported codes in the insurer’s data. 
    Id.
     Relying on much
    the same reasoning, the court held that the Rule also violated
    the Medicare statute’s “same methodology” requirement. 
    Id. at 187
    . The court then deemed the Rule arbitrary and
    capricious in violation of the APA as an unexplained
    departure from CMS’s prior policy, namely, its stated intent
    to use an FFS Adjuster in the context of contract-level RADV
    audits. 
    Id. at 187-90
    . The court noted only in passing that
    CMS had not yet determined an appropriate amount of any
    FFS Adjuster for contract-level RADV audits. See 
    id. at 188
    .
    The district court also rejected the Overpayment Rule’s
    imposition of a negligence standard of liability for failure to
    identify and report an overpayment. The Rule as promulgated
    provided that a Medicare Advantage insurer “has identified an
    overpayment when the [insurer] has determined, or should
    have determined through the exercise of reasonable diligence,
    that the [insurer] has received an overpayment.” 
    42 C.F.R. § 422.326
    (c) (emphasis added). But section 1320a-7k(d)(3)
    25
    of the Medicare statute provides that an overpayment that is
    not timely reported and returned “is an obligation (as defined
    in section 3729(b)(3) of title 31),” i.e., the False Claims Act,
    under which liability requires proof of “knowingly”
    submitting false claims for payment to the government, 
    31 U.S.C. § 3729
    (a). The False Claims Act defines “knowingly”
    as having “actual knowledge” or acting “in deliberate
    ignorance” or “reckless disregard of the truth or falsity of the
    information.” 
    Id.
     § 3729(b)(1)(A). The district court thus
    held the Rule’s negligence-based liability inconsistent with
    the    False    Claims      Act’s     “knowingly”       standard.
    UnitedHealthcare, 330 F. Supp. 3d at 190-91. The court held
    that the final Rule’s negligence-based definition of
    “identified”—which the proposed rule had defined to track
    the False Claims Act’s fault standard before CMS adopted the
    negligence standard in the final version—also violated the
    APA because it was not a logical outgrowth of the proposed
    rule. Id. at 191-92. CMS’s appeal does not challenge either
    of those two holdings regarding the Rule’s negligence
    standard; it contests only the district court’s rulings on
    actuarial equivalence, same methodology, and the question
    whether the Rule was arbitrary and capricious as an
    unexplained departure from the FFS Adjuster CMS had
    proposed to adopt in the context of RADV audits. See Gov’t
    Br. 20-22.
    In November 2018, CMS moved for partial
    reconsideration, which the court denied in January 2020.
    CMS based that motion on the results of the October 2018
    study of the error rate in traditional Medicare, conducted as
    groundwork for the anticipated FFS Adjuster for contract-
    level RADV audits. As noted above, the results of that study
    were made public several weeks after the district court’s
    summary judgment ruling in this case. The study revealed
    that “errors in [traditional Medicare] claims data do not have
    26
    any systematic effect on the risk scores calculated by the
    CMS-HCC risk adjustment model,” undermining the case for
    an adjuster.      CMS Study at 5, J.A. 731; see also
    UnitedHealthcare Ins. Co. v. Azar, No. 16-cv-157, 
    2020 WL 417867
    , at *1, *3 (D.D.C. Jan. 27, 2020), J.A. 801, 805. In
    denying the motion, the district court stated that it “need not
    linger on the details of the[] arguments” regarding the validity
    of the study and CMS’s preliminary conclusion not to apply
    any FFS Adjuster to contract-level RADV audits.
    UnitedHealthcare, 
    2020 WL 417867
    , at *5, J.A. 811. The
    court deemed it “sufficient to say that [UnitedHealth’s]
    arguments [opposing the study] are fully explained and the
    government does not adequately respond.” 
    Id.
    CMS timely appealed on November 6, 2018, and we
    removed the case from abeyance in February 2020 following
    the district court’s denial of reconsideration.
    Finally, it bears noting that the issue of actuarial
    equivalence has come up in other litigation between the
    parties. The federal government and qui tam plaintiffs have
    pursued several False Claims Act cases against Medicare
    Advantage insurers in the last several years, charging failures
    to report and return overpayments that the insurers knew were
    based on unsupported diagnoses. At least some such cases
    are still pending. See, e.g., United States ex rel. Poehling v.
    UnitedHealth Grp., Inc., No. 16-cv-8697 (C.D. Cal.); United
    States ex rel. Osinek v. Kaiser Permanente, No. 13-cv-3891
    (N.D. Cal.).      Medicare Advantage insurers, including
    UnitedHealth, have raised actuarial equivalence as a defense
    to False Claims Act liability. See Appellees Br. 55. At least
    one court has rejected that defense, see United States ex rel.
    Ormsby v. Sutter Health, 
    444 F. Supp. 3d 1010
    , 1067-71
    (N.D. Cal. 2020), while another denied the government’s
    request for an early partial summary judgment on that basis,
    27
    see United States ex rel. Poehling v. UnitedHealth Grp., Inc.,
    No. 16-cv-8697, 
    2019 WL 2353125
    , at *1, *5-8 (C.D. Cal.
    Mar. 28, 2019), but has not finally resolved the issue.
    DISCUSSION
    We review a district court’s grant of summary judgment
    de novo. See, e.g., Clarian Health W., LLC v. Hargan, 
    878 F.3d 346
    , 352 (D.C. Cir. 2017). Under the APA, we must
    “hold unlawful and set aside agency action” that is “arbitrary,
    capricious, an abuse of discretion, or otherwise not in
    accordance with law” or “in excess of statutory jurisdiction,
    authority, or limitations, or short of statutory right.” 
    5 U.S.C. § 706
    (2). The party challenging agency action bears the
    burden of proof. See, e.g., Abington Crest Nursing & Rehab.
    Ctr. v. Sebelius, 
    575 F.3d 717
    , 722 (D.C. Cir. 2009) (citing
    City of Olmstead Falls v. FAA, 
    292 F.3d 261
    , 271 (D.C. Cir.
    2002)).
    A.      The Overpayment Rule does not violate the
    Medicare statute’s requirement of “actuarial
    equivalence”
    UnitedHealth’s central challenge to the Overpayment
    Rule is that it violates the Medicare statute’s command to
    CMS to adjust payment amounts to a Medicare Advantage
    insurer based on risk factors “so as to ensure actuarial
    equivalence” between that insurer’s beneficiary population
    and the traditional Medicare beneficiaries whose healthcare
    cost data CMS uses to calculate capitated, monthly payments
    to the insurer.       42 U.S.C. § 1395w-23(a)(1)(C)(i).
    UnitedHealth argues that the Rule “results in different
    payments for identical beneficiaries because it relies on both
    supported and unsupported codes to calculate risk in
    [traditional Medicare], but only supported codes in the
    [Medicare Advantage] program,” which “necessarily means
    28
    that [Medicare Advantage] plans are not paid the same as
    CMS for identical beneficiaries”—and in fact are “inevitably
    underpa[id].” Appellees Br. 22-23; see also id. at 26-27. In
    other words, UnitedHealth objects to CMS’s reliance on
    minimally audited traditional Medicare data in the risk-
    adjustment model that CMS uses to calibrate the monthly
    payment rates for Medicare Advantage insurers, while CMS
    at the same time obligates insurers to refund each individual
    payment that they know is not supported by a beneficiary’s
    medical records. Id. at 26. The Overpayment Rule,
    UnitedHealth seems to say, disrupts actuarial equivalence
    between Medicare Advantage and traditional Medicare
    insofar as data from traditional Medicare that is used to model
    the expected cost of a given diagnosis is subject to laxer
    documentation standards than is a diagnosis a Medicare
    Advantage insurer reports in support of payment.
    UnitedHealth claims, and the district court agreed, that
    before CMS may lawfully apply the Overpayment Rule, it
    must implement one of two measures to remedy the claimed
    imbalance. First, CMS could devise and apply an adjuster
    akin to the FFS Adjuster it had intended to use (but since has
    preliminarily decided is unwarranted) in the context of
    contract-level RADV audits of Medicare Advantage insurers’
    risk-adjustment data. In that scenario, Medicare Advantage
    insurers would be liable for overpayments only to the extent
    that their payment error rate exceeded that of traditional
    Medicare. Alternatively, CMS could comprehensively audit
    traditional Medicare data before using it in the risk-
    adjustment model that sets Medicare Advantage insurers’
    monthly payments. Only then would UnitedHealth be
    prepared to accept that the traditional Medicare data used to
    arrive at relative factors did not contain the unsupported codes
    that, it asserts, should bar CMS from recouping overpayments
    pursuant to the Rule for codes that a Medicare Advantage
    29
    insurer reported to CMS but later discovered were
    unsupported by beneficiaries’ medical records.
    There are two main problems with UnitedHealth’s
    argument. First, nothing in the Medicare statute’s text,
    structure, or logic makes the actuarial-equivalence
    requirement in section 1395w-23(a)(1)(C)(i) applicable to the
    overpayment-refund obligation in section 1320a-7k(d) or to
    the Overpayment Rule promulgated under that section.
    Second, even if the actuarial-equivalence requirement did
    indirectly relate to Medicare Advantage insurers’
    overpayment-refund obligation, we could not here invalidate
    the Overpayment Rule as violating actuarial equivalence.
    UnitedHealth notably does not challenge the risk-adjustment
    model itself or the resultant values CMS assigned to any
    relative factor. Nor did it provide evidence that the obligation
    to refund overpayments, as defined by the Medicare statute
    and the Rule, in fact has led or will lead to systematic
    underpayment of Medicare Advantage insurers relative to
    traditional Medicare.
    1.
    We have not previously decided any case involving
    “actuarial equivalence” as referenced in section 1395w-
    23(a)(1)(C)(i) for the Medicare Advantage program. In the
    context of the Employee Retirement Income Security Act
    (ERISA), we have said that “[t]wo modes of payment are
    actuarially equivalent when their present values are equal
    under a given set of actuarial assumptions.” Stephens v. U.S.
    Airways Grp., Inc., 
    644 F.3d 437
    , 440 (D.C. Cir. 2011).
    UnitedHealth and CMS agree that “actuarial equivalence” in
    this provision of the Medicare statute means that CMS aims to
    pay the same amount to Medicare Advantage insurers for
    their beneficiaries’ care as CMS would spend on those same
    beneficiaries if they were instead enrolled in traditional
    30
    Medicare. See Gov’t Br. 1; Appellees Br. 26; see also
    Defendants’ Memorandum in Support of Their Cross-Motion
    for Summary Judgment and in Opposition to Plaintiffs’
    Motion for Summary Judgment at 28, UnitedHealthcare Ins.
    Co. v. Azar, 
    330 F. Supp. 3d 173
     (D.D.C. 2018) (No. 16-cv-
    157), J.A. 688.
    The parties disagree about whether the Overpayment
    Rule even implicates the actuarial-equivalence requirement.
    UnitedHealth assumes the Overpayment Rule creates a
    sweeping obligation that effectively requires Medicare
    Advantage insurers to self-audit all their data. It thus asserts
    that, because of actuarial equivalence, before CMS may
    police overpayments in the manner of the Overpayment Rule,
    CMS must either audit traditional Medicare data before it
    goes into the risk-adjustment model or, alternatively, adopt a
    systemic corrective similar to the FFS Adjuster CMS
    contemplated in the context of proposed contract-level RADV
    audits. In the context of the RADV audit expansion, the
    insurers’ objection was that applying a sampled payment error
    rate across an entire contract would effectively audit all of an
    insurer’s data while leaving unaudited the traditional
    Medicare data used to set monthly payments in the first place,
    thus requiring the application of an adjuster that would also
    effectively audit all of the data on the traditional Medicare
    side. Here, UnitedHealth asserts much the same: that the
    Overpayment Rule essentially requires insurers to audit all of
    the data they submit to CMS (especially given the prospect of
    liability under the False Claims Act), leaving that data set
    with no unsupported codes, while traditional Medicare data
    remains unaudited, leaving that data set with a significant
    number of unsupported codes. And, UnitedHealth says, the
    presence of unsupported codes in traditional Medicare data
    depresses the value of relative factors, so removing
    unsupported codes from a Medicare Advantage insurer’s data
    31
    but not traditional Medicare’s will cause CMS to underpay
    insurers.
    UnitedHealth’s premise is unsupported. Nothing in the
    Overpayment Rule obligates insurers to audit their reported
    data. As the district court held, see UnitedHealthcare, 330 F.
    Supp. 3d at 190-91, and CMS does not here dispute, see Gov’t
    Br. 22, 30, the Rule only requires insurers to refund amounts
    they know were overpayments, i.e., payments they are aware
    lack support in a beneficiary’s medical records. That limited
    scope does not impose a self-auditing mandate.
    No part of the Medicare statute or the Overpayment Rule
    supports UnitedHealth’s challenge. The statute’s actuarial-
    equivalence requirement does not apply to the separate
    statutory obligation on insurers to refund overpayments they
    erroneously elicit from CMS; nor, by the same token, does
    actuarial equivalence apply to the Overpayment Rule that
    implements that statutory obligation and, in relevant part,
    essentially parrots it.     Compare 42 U.S.C. § 1320a-
    7k(d)(4)(B) (defining “overpayment” as “any funds that a
    person receives or retains under [the Medicare or Medicaid
    programs] to which the person, after applicable reconciliation,
    is not entitled”), with 
    42 C.F.R. § 422.326
    (a) (defining
    “overpayment” as “any funds that [a Medicare Advantage
    insurer] has received or retained under [the Medicare
    Advantage program] to which the [Medicare Advantage
    insurer], after applicable reconciliation, is not entitled”).
    Nothing in the text of either the actuarial-equivalence
    requirement in section 1395w-23(a)(1)(C)(i) or the
    overpayment-refund obligation in section 1320a-7k(d) applies
    the former to the latter. There is no cross-reference or other
    language suggestive of overlap, nor does UnitedHealth so
    contend. Indeed, even the district court acknowledged that
    the overpayment-refund obligation does not “state how
    32
    ‘overpayments’ and ‘actuarial equivalence’ in payments are
    related.” UnitedHealthcare, 330 F. Supp. 3d at 181.
    More specifically, nothing in either provision renders
    actuarial equivalence a defense against the obligation to
    refund any individual, known overpayment.            Notably,
    Congress through the Affordable Care Act strengthened
    Medicare Advantage insurers’ data-reporting obligations by
    requiring insurers to report and return overpayments within
    sixty days of their discovery, and it made specific provision
    for False Claims Act liability for those that do not. In so
    doing, Congress made no reference to the Medicare statute’s
    longstanding actuarial-equivalence requirement, let alone any
    suggestion that it could be interposed as a defense. See 42
    U.S.C. § 1320a-7k(d).
    If anything, the text of section 1395w-23(a)(1)(C)(i)
    limits the scope of the actuarial-equivalence requirement. It
    states that CMS “shall adjust the payment amount under
    subparagraph (A)(i) and the amount specified under
    subparagraph (B)(i), (B)(ii), and (B)(iii)” for demographic
    and health characteristics “to ensure actuarial equivalence.”
    Those cross-referenced subparagraphs identify the manner in
    which CMS “shall make monthly payments under this section
    in advance to each [Medicare Advantage] organization.” Id.
    § 1395w-23(a)(1)(A).          Section 1395w-23(a)(1)(C)(i)’s
    reference to risk-adjusting the amount paid to Medicare
    Advantage insurers “under” certain cross-referenced
    subparagraphs, and those subparagraphs’ focus on the
    predetermined monthly payments made to insurers “under this
    section,” indicate that the actuarial-equivalence requirement is
    not broadly applicable, but instead limited to the specified
    context of CMS’s calculation and disbursement of monthly
    payments in the first instance. Cf. Davis v. Pension Benefit
    Guar. Corp., 
    734 F.3d 1161
    , 1170 (D.C. Cir. 2013)
    33
    (interpreting ERISA’s actuarial-equivalence requirement as
    limited by statutory text and structure).
    Stephens v. U.S. Airways Group, Inc., cited by the district
    court in support of its holding, see UnitedHealthcare, 330 F.
    Supp. 3d at 185-86, actually cuts the other way. There, we
    held that an ERISA actuarial-equivalence requirement did not
    obligate the airline to pay pensioners interest on requested
    lump-sum payments made well after annuity payments would
    have begun had the same benefit been disbursed periodically.
    Stephens, 
    644 F.3d at 440
    . When we held that interest was
    required under IRS regulations regarding unreasonable delay
    of such payments, id.; see also 
    id. at 442
    , we were also clear
    that the lump-sum payments did not violate actuarial
    equivalence where the airline “accurately calculated [the]
    lump sums to be the ‘actuarial equivalent’ of the annuity
    option as of the annuity start date,” 
    id. at 440
    . Because the
    actuarial equivalence of the annuity and lump-sum payments
    had been calculated based on a common initial payment date,
    and the statute was silent on whether interest was owed when
    an otherwise actuarially equivalent pension was paid later, we
    declined to grant the interest claim on that basis. 
    Id.
    Here, the Medicare statute is similarly silent, as it speaks
    not at all to whether the actuarial-equivalence requirement in
    section 1395w-23(a)(1)(C)(i) bears on section 1320a-7k(d)’s
    requirement to refund overpayments. That is, the statute
    never says that the later refund of individual, known
    overpayments implicates the earlier-in-time requirement that
    the lump-sum monthly payments to Medicare Advantage
    insurers be set as if an insurer’s beneficiary pool were
    actuarially equivalent to traditional Medicare’s population. In
    the face of such silence, actuarial equivalence is satisfied
    consistently with Stephens so long as CMS reasonably
    concluded when it set its monthly payments to UnitedHealth
    34
    that the traditional Medicare data it used was sufficiently
    accurate and free of systemic biases that modeling based on
    that data would generate relative-factor values enabling CMS
    to “adjust the payment amount” to UnitedHealth “so as to
    ensure actuarial equivalence.”        42 U.S.C. § 1395w-
    23(a)(1)(C)(i). As discussed in the next section, there is no
    evidence of any such systemic skew in traditional Medicare
    data, and, indeed, UnitedHealth never challenged the values
    CMS assigned to the relative factors. CMS permissibly reads
    the Medicare statute to authorize it to recover overpayments
    for diagnosis codes UnitedHealth submitted but knew or
    learned were unsupported—and to do so without first either
    remaking its underlying actuarial-equivalence calculation to
    prove that traditional Medicare data is completely free of
    unsupported diagnoses, or re-defending its calculation as
    already accounting for unsupported diagnoses.
    As CMS points out, the actuarial-equivalence
    requirement is not an “entitle[ment] . . . to a precise payment
    amount” for a Medicare Advantage insurer, but only “an
    instruction to the Secretary regarding the design of the risk
    adjustment model as a whole . . . describ[ing] the type of
    ‘payment amount[s]’ that the risk adjustment model should
    produce”; “[i]t does not directly govern how CMS evaluates
    the validity of diagnoses or defines ‘overpayment.’” Reply
    Br. 5-6 (third alteration in original); see Gov’t Br. 42-43. To
    that end, the Medicare statute grants the agency considerable
    discretion in determining how to structure the risk-adjustment
    model to achieve actuarial equivalence. See 42 U.S.C.
    § 1395w-23(a)(1)(C)(i).
    The actuarial-equivalence requirement and the
    overpayment-refund obligation apply to different actors,
    target distinct issues arising at different times, and work at
    different levels of generality. The actuarial-equivalence
    35
    provision directs CMS to develop a system of relative factors
    to use in adjusting the amount of the monthly payments to
    each Medicare Advantage insurer. See id. It calls on CMS to
    use its expert judgment to identify cost-predictive risk factors
    in the Medicare population and to analyze the data
    accumulated in traditional Medicare to determine average
    costs associated with those factors.
    The point of that exercise is to enable CMS to pay only
    as much for coverage of Medicare Advantage beneficiaries as
    it would if they were instead enrolled in traditional Medicare,
    notwithstanding differences between the actual populations—
    for example, that Medicare Advantage populations have
    tended to be healthier than traditional Medicare’s population.
    See Reply Br. 20-21 (citing Pope et al., Risk Adjustment of
    Medicare Capitation Payments Using the CMS-HCC Model,
    at 119, J.A. 487). Thus, the actuarial-equivalence requirement
    is focused on accounting for the distinct profiles of each
    insurer’s beneficiary population, listing “age, disability status,
    gender, institutional status, and . . . health status” as
    potentially relevant considerations in the risk-adjustment
    model. 42 U.S.C. § 1395w-23(a)(1)(C)(i). Significantly,
    section 1395w-23(a)(1)(C)(i)’s use of the qualifier “actuarial”
    necessarily implies an assessment made at the group or
    population level, not the individual level, so as to support
    credible statistical inferences. Cf. Pope et al., Evaluation of
    the CMS-HCC Risk Adjustment Model: Final Report 5, J.A.
    522 (explaining that “risk assessment is designed to
    accurately explain the variation at the group level, not at the
    individual level, because risk adjustment is applied to large
    groups,” and that “the Actuarial Standard Board’s Actuarial
    Standard of Practice for risk classification” requires that “risk
    classes are large enough to allow credible statistical
    inferences”). By contrast, the overpayment-refund obligation
    in both the Medicare statute and the Overpayment Rule
    36
    corrects particular mistaken payments to Medicare Advantage
    insurers that exceed what the relevant medical records
    support.
    Finally, applying actuarial equivalence to the Medicare
    statute’s separate obligation to refund particular, known
    overpayments would seriously undermine that obligation,
    with the potential for absurd consequences. As UnitedHealth
    acknowledged at oral argument, under its view of actuarial
    equivalence as a defense against its obligation to reimburse
    CMS for known overpayments, a Medicare Advantage insurer
    could be entitled to retain payments that it knew were
    unsupported by medical records so long as CMS had not
    established that the insurer’s overall payment error rate was
    higher than traditional Medicare’s payment error rate. See
    Oral Arg. Tr. 50:12-18. Indeed, under that line of thinking, a
    Medicare Advantage insurer could knowingly submit
    unsupported diagnosis codes and retain payment for them
    unless and until CMS established—based on fully audited
    data of both traditional Medicare and the Medicare Advantage
    insurer at issue—that the particular overpayment resulted in a
    net gain to the insurer relative to traditional Medicare. There
    is no basis on which we can conclude that Congress intended
    the distinct actuarial-equivalence requirement to so thwart the
    overpayment-refund obligation—an obligation that, again,
    Congress strengthened through the Affordable Care Act
    without any reference to the accuracy or actuarial equivalence
    of the prospective monthly payments that CMS calculates and
    disburses to Medicare Advantage insurers. Congress gave no
    sign that it was limiting the obligation in the way
    UnitedHealth now suggests.
    UnitedHealth asks us to rewrite the statutory
    overpayment-refund obligation, which was the basis for the
    Overpayment Rule, by narrowing the capacious “any funds”
    37
    to which a Medicare Advantage insurer “is not entitled,” 42
    U.S.C. § 1320a-7k(d)(4)(B), with an actuarial-equivalence
    exception. But in the absence of any textual or structural
    connection between the two provisions, we decline to hold
    that the actuarial-equivalence requirement in section 1395w-
    23(a)(1)(C)(i) applies to the overpayment-refund obligation in
    section 1320a-7k(d) or the Overpayment Rule CMS
    promulgated to comply with that provision.
    2.
    Even if the Medicare statute could theoretically support
    UnitedHealth’s reading, we lack the necessary grounds here
    to invalidate the Overpayment Rule as a violation of actuarial
    equivalence. Recall that UnitedHealth’s claim is that CMS
    cannot demand that UnitedHealth refund overpayments unless
    CMS shows it meets what UnitedHealth posits as a
    symmetrical auditing or error-correction obligation regarding
    traditional Medicare. But Congress has spelled out distinct
    obligations for traditional Medicare and Medicare Advantage,
    such as the Coding Intensity Adjuster that applies to the latter
    program but not the former, see id. § 1395w-
    23(a)(1)(C)(ii)(III); and CMS has long employed different
    audit mechanisms for the claims submitted by healthcare
    providers for traditional Medicare beneficiaries as compared
    to the data submitted by Medicare Advantage insurers to
    enable CMS to calculate accurate risk scores for Medicare
    Advantage beneficiaries, see Gov’t Br. 16-19, 35-38.
    Congress’s and CMS’s use of measures tailored to the
    differing structures of and incentives in the two programs
    makes sense; indeed, it could be irrational not to use distinct
    tools as needed to respond to different problems.
    UnitedHealth does not challenge the Coding Intensity
    Adjuster imposed by Congress. And UnitedHealth has never
    38
    taken the opportunity that arises annually to challenge the
    accuracy of the risk-adjustment model or pricing when CMS
    announces the relative factors and base payment rates that it
    will use for the upcoming year. See Oral Arg. Tr. 12:12-
    13:16; see also Ormsby, 444 F. Supp. 3d at 1068 n.442. We
    accordingly accept the unchallenged validity of the overall
    design of the model, the risk factors considered by CMS
    pursuant to its discretion under section 1395w-23(a)(1)(C)(i),
    and the accuracy of the resultant values of relative factors.
    UnitedHealth cannot now use actuarial equivalence to litigate
    belated objections to the risk-adjustment model or the level of
    its monthly payments through the back door of the
    Overpayment Rule.
    UnitedHealth has failed to provide any logical or
    empirical basis to question the accuracy of traditional
    Medicare data. UnitedHealth asserts that the obligation to
    refund overpayments, at least as defined by the Overpayment
    Rule, leads to systematic underpayment of Medicare
    Advantage insurers relative to traditional Medicare. But it is
    by no means “inevitable” that Medicare Advantage insurers
    will be underpaid without the correctives that UnitedHealth
    would require. UnitedHealthcare, 330 F. Supp. 3d at 185,
    187. Congress and CMS have long recognized that the uses
    of and incentives bearing on data in traditional Medicare and
    Medicare Advantage are very different, and accordingly have
    designed a range of distinct obligations and error-correction
    mechanisms for the two programs. As is by now familiar,
    CMS pays healthcare providers for Medicare Part B
    beneficiaries on a fee-for-service basis; thus, whereas
    providers may have incentives to overtreat those beneficiaries,
    they lack incentives to overreport diagnosis codes. By
    contrast, Medicare Advantage insurers, which CMS pays
    based on their beneficiaries’ demographic and health
    characteristics, including diagnoses, have financial incentives
    39
    to code intensely and overreport diagnoses but not necessarily
    to overtreat beneficiaries.       See Advance Notice of
    Methodological Changes for CY 2004 Medicare+Choice
    Payment Rates, at 5, J.A. 115; U.S. Gov’t Accountability
    Off., Medicare Advantage: CMS Should Improve the
    Accuracy of Risk Score Adjustments for Diagnostic Coding
    Practices 2, J.A. 546.
    UnitedHealth complains of “a substantial number” of
    unsupported diagnosis codes in the minimally audited
    traditional Medicare data set. Appellees Br. 26. But
    UnitedHealth identifies no reason why the traditional
    Medicare data that goes into the risk-adjustment model would
    suffer systematically from unsupported codes like those the
    Overpayment Rule targets, i.e., codes lacking substantiation
    in medical records. If anything, the fact that providers for
    traditional Medicare beneficiaries are generally paid based on
    services, not diagnoses, would seem to tend toward
    underreporting, not overreporting, of diagnoses within
    traditional Medicare.          The underlying premise of
    UnitedHealth’s overall position is that traditional Medicare
    data includes a significant rate of unsupported diagnosis codes
    that ultimately depresses the payments to Medicare
    Advantage insurers. But the different ways the programs’
    reimbursement schemes work in practice make that premise
    implausible.
    Nor has UnitedHealth established another premise of its
    position—that the unsupported codes it posits in traditional
    Medicare would both be materially analogous to those the
    Overpayment Rule targets, and would cause UnitedHealth to
    be underpaid. To start, it is not even clear which kind of
    payment error in traditional Medicare, relative to Medicare
    Advantage, UnitedHealth believes is overlooked to its
    detriment. UnitedHealth identifies the problem in traditional
    40
    Medicare as “a substantial number” of unsupported codes, id.,
    though, as discussed more below, it does not specify what, if
    any, payment implications it sees as necessarily attending
    them. To the extent that unsupported codes in traditional
    Medicare would be associated with erroneous payments that
    CMS need not have made to healthcare providers—i.e.,
    overpayments analogous to any CMS makes to Medicare
    Advantage insurers and targets with the Overpayment Rule—
    that kind of error would, if anything, tend to raise, not lower,
    overall payments to Medicare Advantage insurers. That is,
    because CMS’s expenditures on traditional Medicare
    contribute to setting the base rate later used to make payments
    to Medicare Advantage insurers, the more money CMS
    spends on traditional Medicare, the higher the baseline for its
    expenditures on Medicare Advantage.
    UnitedHealth nonetheless defends its position and the
    district court’s ruling as founded “on straightforward math:
    Including unsupported codes when allocating costs on the
    traditional Medicare side, then excluding those same codes
    when determining payment amounts on the [Medicare
    Advantage] side, will underpay plans.”              Id. at 27.
    UnitedHealth’s math does not add up. To illustrate its
    assertion of inevitable underpayment, UnitedHealth riffs on
    CMS’s example involving a 72-year-old woman living
    independently (relative factor 0.348), with diabetes without
    complications (relative factor 0.118), and multiple sclerosis
    (relative factor 0.556), who would have a total risk score of
    1.022. See Gov’t Br. 7. But for UnitedHealth that woman is
    a twin: Her sister (Twin A) is a traditional Medicare
    beneficiary, and she (Twin B) is “identical in all respects” but
    is a Medicare Advantage beneficiary. Appellees Br. 32.
    UnitedHealth asks us to imagine that the diabetes code for
    both twins (who, again, are identical) is “unsupported.” Id. It
    says that, under the Overpayment Rule, the woman’s
    41
    Medicare Advantage insurer “would need to delete her
    unsupported diabetes code after identifying it, and the
    resulting risk score for Twin B would be 0.904.” Id. So, if
    her sister, Twin A, “cost CMS $10,000 to insure . . . the
    [Medicare Advantage] plan would receive only $8,845 to
    insure its identical beneficiary (0.904/1.022 x $10,000).” Id.
    at 32-33.
    UnitedHealth’s twin example ignores that unsupported
    codes are likely to occur for different reasons and with
    differing effects in the two programs: Unlike an unsupported
    diabetes code associated with Twin B in Medicare Advantage,
    which leads to an unwarranted increase in payment to the
    insurer, the mere existence of an unsupported diabetes code
    for Twin A in traditional Medicare does not mean CMS spent
    more money on that beneficiary. That is, CMS’s expenditure
    for Twin A (at least in fee-for-service Part B) is not likely to
    have been higher if she were miscoded as diabetic than it
    would be without that error. CMS’s expenditure on the twin
    in traditional Medicare would increase only if CMS paid for
    treatment corresponding to that unsupported code. But if
    Twin A’s unsupported diabetes code is only an administrative
    error that does not correspond to treatment actually provided
    and paid for, UnitedHealth’s hypothetical uses the wrong
    starting point, and so the wrong figures, for Twin A’s side of
    the comparison. Her costs in traditional Medicare from the
    outset (and even if her unsupported diabetes code is never
    caught) would be at the same, lowered level as Twin B’s in
    Medicare Advantage once that diabetes code was removed—
    in both cases, the payment level appropriate for a non-
    diabetic.
    Even assuming Twin A’s unsupported diabetes code were
    associated with erroneous payment by CMS, one would need
    to know more about the nature and scale of such errors to
    42
    determine whether they could have affected the results of the
    regression analysis used to calculate relative factors, and in
    what direction. For example, if UnitedHealth is assuming that
    Twin A’s unsupported diabetes code triggered payment for
    treatment that had no medical purpose, UnitedHealth still has
    not made its case of inevitable underpayment. Specifically, if
    an unsupported code in traditional Medicare pairs with
    diabetes treatment for which CMS paid, UnitedHealth has not
    explained how, in coding it as just that—a cost of diabetes
    treatment, however unnecessary—CMS would inevitably
    depress the value of the relative factor for diabetes. As
    UnitedHealth sees it, every unsupported diabetes code in
    traditional Medicare lowers the value of the relative factor for
    diabetes, as CMS’s expenditure on diabetes is divided among
    more and more beneficiaries. But UnitedHealth does not
    account for the possibility of an unsupported code associated
    with payment by CMS, which would enlarge both the total
    costs and the beneficiary pool in traditional Medicare and
    thus, if anything, tend to keep constant the value of the
    relative factor at issue.
    Alternatively, if UnitedHealth’s concern is with a
    diabetes code that is unsupported because treatment was
    delivered, medically necessary, and paid for, but just
    administratively associated with the wrong code—diabetes
    rather than celiac disease, for example—it also has not shown
    inevitable underpayment. In such a case, a data point that
    should have gone into the regression analysis supporting the
    relative factor for celiac disease would have instead been part
    of the data crunched to arrive at the diabetes relative factor.
    But, without any basis to conclude that any such errors occur
    at scale or in any particular pattern, the misattribution of some
    costs in the data cannot be assumed to distort CMS’s analysis.
    43
    The implications of any unsupported diabetes code in
    traditional Medicare are quite different from those of the same
    unsupported code in Medicare Advantage. The former will
    not lead to Medicare Advantage insurers’ inevitable
    underpayment because, as already noted, any erroneous code
    in traditional Medicare is aggregated with millions of others
    in the regressions called for under the risk-adjustment model.
    Errors that are isolated and random, not systemic, cannot
    alone be assumed to affect the value of a relative factor that
    bears on how much CMS will pay Medicare Advantage
    insurers for beneficiaries with any particular condition. An
    unsupported code submitted by a Medicare Advantage
    insurer, in contrast, triggers overpayment in every case. That
    is because individual codes in that program are used to
    determine payments, not as data points in a complex and
    rigorous statistical model.
    In sum, UnitedHealth has given no reason to think that
    miscoding in traditional Medicare necessarily leads to any
    inflated or deflated relative factors and, if it did, which ones
    are affected in which direction. We cannot assume based on
    UnitedHealth’s reasoning alone that Medicare Advantage
    insurers are inevitably underpaid under any of the
    circumstances possible in its example.
    What’s more, the empirical evidence that we do have—
    CMS’s October 2018 study concerning an FFS Adjuster in the
    context of contract-level RADV audits—suggests that
    Medicare Advantage insurers are not underpaid relative to
    traditional Medicare, contrary to UnitedHealth’s and the
    district court’s belief that underpayment is inevitable.
    Through that study, CMS “found that errors in [traditional
    Medicare] claims data do not have any systematic effect on
    the risk scores calculated by the CMS-HCC risk adjustment
    model, and therefore do not have any systematic effect on the
    44
    payments made to [Medicare Advantage] organizations.”
    CMS Study at 5, J.A. 731. In fact, CMS determined that the
    impact of errors in traditional Medicare data “is less than one
    percent on average and in favor of the [Medicare Advantage]
    plans.” Id.
    Together with its opposition to CMS’s motion for partial
    reconsideration before the district court, UnitedHealth
    submitted a declaration from an actuarial expert “reflect[ing]
    [the expert’s] professional interpretation” of CMS’s study.
    Declaration of Julia Lambert at 2, UnitedHealthcare Ins. Co.
    v. Azar, 
    2020 WL 417867
     (D.D.C. Jan. 27, 2020) (No. 16-cv-
    157), J.A. 771. UnitedHealth’s expert criticized the study by
    asserting that the underlying data in fact showed that, “if you
    take [a Medicare Advantage insurer] with risk profiles
    identical to those in the [traditional Medicare] data, the
    [insurer] would be underpaid if the relative factors generated
    using both supported and unsupported data [from traditional
    Medicare] were applied only to supported codes in the
    [insurer’s] data.” 
    Id. at 19
    , J.A. 788. But neither CMS’s
    study nor UnitedHealth’s expert’s declaration tells us what
    happens when a Medicare Advantage insurer removes some,
    but not all, unsupported codes from its data, as is the reality
    here with the overpayment-refund obligation for only known
    overpayments. Indeed, UnitedHealth’s expert’s declaration
    unquestioningly presumes that, as a result of the Overpayment
    Rule, a Medicare Advantage insurer’s data will consist of
    only supported codes. See 
    id.
     UnitedHealth has not shown,
    though, that the overpayment-refund obligation, as defined by
    the Overpayment Rule and limited to codes known to lack
    support, in fact will result in Medicare Advantage insurers
    receiving payment for only supported codes, or that there is a
    point at which the removal of some, even if not all,
    unsupported codes from an insurer’s data would violate
    actuarial equivalence.
    45
    The burden of proof is UnitedHealth’s to show that the
    Overpayment Rule is unlawful. See, e.g., Abington Crest, 
    575 F.3d at
    722 (citing City of Olmstead Falls, 
    292 F.3d at 271
    ).
    In the absence of such proof—or even persuasive logic in
    UnitedHealth’s favor—we could not here invalidate the
    Overpayment Rule as violating actuarial equivalence even if
    we held that such requirement bore on the overpayment-
    refund obligation.
    B.      The Overpayment Rule does not violate the
    Medicare statute’s requirement of “same
    methodology”
    UnitedHealth’s second claim—that the Overpayment
    Rule violates the Medicare statute’s “same methodology”
    requirement in section 1395w-23(b)(4)(D)—is likewise
    without merit. As explained above, each county in the United
    States has its own base payment rate, which provides the
    starting point for the monthly, per-capita payment to a
    Medicare Advantage insurer covering a beneficiary in that
    area. Every year, Medicare Advantage insurers bid for
    contracts after CMS announces the county-specific
    benchmarks for the coming year. See 42 U.S.C. § 1395w-
    23(b)(1)(B). The base rate for a given county is then
    determined by the benchmark derived from traditional
    Medicare’s per-capita expenditures in the county and the
    winning bid submitted by a Medicare Advantage insurer. An
    insurer covering a beneficiary with a risk score of 1.0 can
    expect to receive the base rate for the beneficiary’s home
    county, whereas beneficiaries with risk scores higher or lower
    than 1.0 will draw prorated payments above or below the base
    rate, respectively.
    As UnitedHealth acknowledges, the annual computation
    and publication requirement in section 1395w-23(b)(4) is
    46
    meant to facilitate Medicare Advantage insurers’ yearly
    submission of viable, competitive bids for contracts with
    CMS. See Appellees Br. 33-34. In a section titled “Annual
    announcement of payment rates,” the Medicare statute
    requires CMS to compute and publish annually the “average
    risk factor” for traditional Medicare beneficiaries on a county-
    by-county basis, “using the same methodology as is expected
    to be applied in making payments under subsection (a).” 42
    U.S.C. § 1395w-23(b)(4)(D). Subsection (a) is, at this point,
    familiar: It contains the actuarial-equivalence requirement
    and governs the design of the risk-adjustment model. See id.
    § 1395w-23(a)(1)(C)(i).
    The “same methodology” requirement plays a specific
    role in the computation and publication of data to aid the
    bidding process. It does not impose a substantive limit on the
    operation of the risk-adjustment model, which is governed by
    a separate provision. Nor does it have any bearing on whether
    a particular payment to a Medicare Advantage insurer
    constitutes an “overpayment.” Rather, the requirement to
    “us[e] the same methodology” clarifies that CMS, in
    computing the traditional Medicare data it publishes, must use
    the same risk-adjustment model that it already uses to set
    monthly payments to Medicare Advantage insurers, not
    devise a new model or method for that purpose. Thus, for the
    same reasons that support our holding regarding
    UnitedHealth’s actuarial-equivalence claim, we conclude that
    the Overpayment Rule simply does not implicate the
    Medicare statute’s separate “same methodology” requirement.
    C.      The Overpayment Rule is not an unexplained
    departure from prior policy
    UnitedHealth’s third and final claim on appeal is that
    CMS’s response to a comment calling for the use of an
    47
    adjuster under the Overpayment Rule was arbitrary and
    capricious in violation of the APA. That comment advocated
    “appl[ication of] the principles adopted by CMS in the RADV
    audit context” to argue that “the sole instance in which an
    ‘overpayment’ can be determined” is when CMS first has
    shown that the overall payment error for a given Medicare
    Advantage insurer is higher than that in traditional Medicare.
    Overpayment Rule, 79 Fed. Reg. at 29,921, J.A. 64.
    In 2012, CMS proposed to use an FFS Adjuster in the
    context of contract-level RADV audits used to review
    Medicare Advantage insurers’ risk-adjustment data. It did so
    in response to objections by Medicare Advantage insurers and
    the American Academy of Actuaries that failure to use an
    adjuster would violate the Medicare statute’s requirement of
    “actuarial equivalence.” Specifically, those commenters had
    argued that the actuarial-equivalence requirement prohibited
    CMS from using traditional Medicare data—which is subject
    to minimal auditing—to make monthly payments to Medicare
    Advantage insurers in the first instance, but then requiring an
    insurer to return some portion of those payments once CMS
    had effectively audited all the insurer’s data by applying an
    extrapolated payment error rate to its entire contract with
    CMS. See, e.g., Aetna Inc.’s Comments on Proposed
    Payment Error Calculation Methodology for Part C
    Organizations Selected for Contract-Level RADV Audits, at 4
    & 18-22, J.A. 298 & 312-16; Humana Inc., Comment on
    RADV Sampling and Error Calculation Methodology, at 2-5
    & 12, J.A. 333-36 & 343. Notably, the Academy did not
    object to the proposed Overpayment Rule based on actuarial
    equivalence, and CMS has preliminarily decided not to use an
    FFS Adjuster for contract-level RADV audits after all because
    “errors in [traditional Medicare] claims data do not have any
    systematic effect on the risk scores calculated by the CMS-
    HCC risk adjustment model.” CMS Study at 5, J.A. 731.
    48
    Because, as discussed above, the Overpayment Rule does
    not violate, or even implicate, actuarial equivalence, CMS had
    no obligation to consider an FFS Adjuster or similar
    correction in the overpayment-refund context. Contract-level
    RADV audits, which would effectively eliminate—and
    require repayment for—all unsupported codes in a Medicare
    Advantage insurer’s data, are an error-correction mechanism
    that is materially distinct from the Overpayment Rule
    challenged here, which requires only that an insurer report
    and return to CMS known errors in its beneficiaries’
    diagnoses that it submitted as grounds for upward adjustment
    of its monthly capitation payments. Thus, CMS was not
    required to provide further explanation of its decision. See
    Motor Vehicles Mfrs. Ass’n v. State Farm Mut. Auto. Ins. Co.,
    
    463 U.S. 29
    , 43 (1983). CMS’s response to the comment
    reiterated Medicare Advantage insurers’ longstanding
    obligations, under other of CMS’s regulations not challenged
    here, see, e.g., 
    42 C.F.R. § 422.504
    (l), to certify the accuracy
    of the data that they report to CMS, see Overpayment Rule,
    79 Fed. Reg. at 29,921-22, J.A. 64-65. Its response was
    therefore reasonable. See id. 1
    1
    As mentioned above, CMS has since proposed not to use an FFS
    Adjuster in the context of contract-level RADV audits. See CMS
    Study at 5, J.A. 731. We express no opinion on whether the
    actuarial-equivalence requirement in section 1395w-23(a)(1)(C)(i)
    of the Medicare statute requires such an adjuster in that context.
    For current purposes, it suffices that the contexts of contract-level
    RADV audits and overpayment refunds are plainly distinguishable,
    such that CMS did not need to further explain, when it issued the
    Overpayment Rule in 2014, why it then intended to use an adjuster
    in the former context but not the latter.
    49
    *   *    *
    For the foregoing reasons, we hold that the Overpayment
    Rule does not violate the Medicare statute’s “actuarial
    equivalence” and “same methodology” requirements and is
    not arbitrary and capricious as an unexplained departure from
    prior policy. We accordingly reverse the judgment of the
    district court and remand this case with orders to enter
    judgment in favor of Appellants.
    So ordered.