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Congressional Budget Office
Distribution of Medicare Taxes and
Spending by Lifetime Household Earnings
Conference of the American Society of Health Economists
June 15, 2016
Xiaotong Niu
Congressional Budget Office
Special thanks to the staff at the National Center for Health Statistics for their assistance with accessing the restricted
survey data linked to administrative files through the Research Data Center. The findings and conclusions in this paper are
those of the author and do not necessarily represent the views of the Research Data Center, the National Center for Health
Statistics, or the Centers for Disease Control and Prevention. The information in this presentation is preliminary and is
being circulated to stimulate discussion and critical comment as developmental work for analysis for the Congress.
1CONGRESSIONAL BUDGET OFFICE
Overview of the Study
The study provides new estimates of the distribution of Medicare
taxes and spending.
■ First, it uses a unique dataset to estimate the relationship
between a measure of socioeconomic status (SES) and annual
Medicare spending.
– The new measure of SES is lifetime household earnings.
■ Second, it projects the distribution of Medicare taxes and
spending for current and future beneficiaries accounting for
demographic changes and economic growth using CBO’s Long-
Term (CBOLT) model.
2CONGRESSIONAL BUDGET OFFICE
Background
3CONGRESSIONAL BUDGET OFFICE
How Do We Measure the Distribution of Medicare?
■ Contributions to Medicare: dedicated Medicare taxes
– Mostly payroll taxes; a portion of income taxes on Social Security benefits
– Exclude transfers from general revenues (general revenues consist
mostly of receipts from individual income taxes)
■ Benefits from Medicare: Medicare spending (net of premiums)
■ Measure of progressivity
– Medicare is progressive if beneficiaries with lower SES have higher
lifetime Medicare spending net of dedicated taxes and premiums
– Measure of SES: lifetime household earnings
4CONGRESSIONAL BUDGET OFFICE
Prior Literature
■ Three recent studies give conflicting conclusions about the
progressivity of Medicare depending on the choice of SES
measure.
– Bhattacharya and Lakdawalla (2006)
– McClellan and Skinner (2006)
– Rettenmaier (2012)
■ Individual-level measure of SES: Medicare is progressive
– Education (Bhattacharya and Lakdawalla, 2006; focuses on Part A)
– Lifetime earnings: the present value of earnings starting in age 40
(Rettenmaier, 2012)
■ Aggregate measure of SES: Medicare is neutral
– Zip-code average income (McClellan and Skinner, 2006)
5CONGRESSIONAL BUDGET OFFICE
Contributions of the Study
■ Uses an alternative measure of SES: lifetime household earnings
– Education and zip-code average income could affect individual
spending through channels other than individual SES.
– The measure is similar to Rettenmaier (2012) but with longer earnings
history for more recent cohorts of beneficiaries.
■ Uses a unique dataset to estimate the relationship between
SES and annual Medicare spending
– Recent cohorts of beneficiaries from the National Health Interview
Survey are linked to the Social Security Administration (SSA) and
Centers for Medicare and Medicaid Services (CMS) administrative data.
■ Projects the distribution of Medicare taxes and spending for
current and future beneficiaries using CBOLT
6CONGRESSIONAL BUDGET OFFICE
Annual Medicare Spending
7CONGRESSIONAL BUDGET OFFICE
Data
■ National Health Interview Survey, 1994–2005
– Linked to SSA and CMS administrative data
– The sample includes beneficiaries born between 1905 and 1940 who
live at least to age 65
■ Key variable: Primary Insurance Amount (PIA) at age 65
– PIA is a measure of individual lifetime earnings from the linked SSA
administrative data
– Six groups of beneficiaries based on PIA at age 65:
• Missing value for those who never applied for Social Security benefits
based on their own work history
• 5 groups using PIA values that divide a 1% sample of SSA administrative
data into 5 groups of equal size (or quintiles)
• Separate assignment by sex and birth year
8CONGRESSIONAL BUDGET OFFICE
Summary Statistics
Men Women
Time Until Death
12 months or less 3.4 2.5
13 to 24 months 3.9 3.0
More than 24 months 92.6 94.5
Level of Education
Less than high school 30.6 31.5
High school 30.7 39.3
Some college 16.8 17.4
BA or above 21.9 11.9
Disabled (Social Security Disability Insurance Recipients) 9.6 6.2
Primary Insurance Amount Missing 4.2 34.7
Medicare Fee-for-Service (FFS) Enrollment 83.0 82.9
Part B Coverage 94.9 97.4
Fraction With Medicare Spending (FFS Sample) 83.7 90.4
Average Medicare Spending (FFS Sample; 2009 Dollars) 6,376 6,169
Percent of Beneficiaries in the Sample
9CONGRESSIONAL BUDGET OFFICE
Estimation Method
■ Enrollment decision: likelihood of having Part B coverage
– 𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃 𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝑖𝑖𝑖𝑖 = Φ−1(𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝑖𝑖,𝑡𝑡−1 𝛼𝛼 + 𝑋𝑋𝑖𝑖𝑖𝑖 𝛾𝛾 + 𝜂𝜂𝑖𝑖𝑖𝑖)
■ Spending level: annual spending deflated to 2009 dollars using
GDP deflator (FFS sample)
– 𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝑆𝑆𝑖𝑖𝑖𝑖 > 0 =
Φ−1
(1𝑥𝑥>0 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝑆𝑆𝑖𝑖,𝑡𝑡−1 𝛼𝛼 + 𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝑖𝑖𝑖𝑖 𝜆𝜆 + 𝑋𝑋𝑖𝑖𝑖𝑖 𝛽𝛽 + 𝜀𝜀𝑖𝑖𝑖𝑖)
– 𝐿𝐿𝐿𝐿𝐿𝐿 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝑆𝑆𝑖𝑖𝑖𝑖 = 𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝑖𝑖𝑖𝑖 𝛿𝛿 + 𝑋𝑋𝑖𝑖𝑖𝑖 𝜃𝜃 + 𝜔𝜔𝑖𝑖𝑖𝑖
■ Separate model by sex and age group
■ Φ(∙) is the logit function; 1𝑥𝑥>0(∙) is an indicator function
10CONGRESSIONAL BUDGET OFFICE
Average Annual Spending by Primary Insurance
Amount in the 2030s
■ The relationship between Primary Insurance Amount (PIA) and
annual Medicare spending is projected based on:
– The historical relationship between PIA and annual spending
– Projected changes in demographics and labor force outcomes
■ Men
– Annual spending is generally high for those in the lowest quintile of
PIA, and similar or increasing slightly with PIA for other quintiles.
■ Women
– Annual spending declines monotonically with PIA.
11CONGRESSIONAL BUDGET OFFICE
Average Annual Spending by Primary Insurance
Amount in the 2030s—Men
Ratio to Average
Missing First Second Third Fourth Fifth Missing First Second Third Fourth Fifth
0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
Ages 65 to 69 Ages 80 to 90
Quintile of Primary Insurance Amount
12CONGRESSIONAL BUDGET OFFICE
Average Annual Spending by Primary Insurance
Amount in the 2030s—Women
Ratio to Average
Missing First Second Third Fourth Fifth Missing First Second Third Fourth Fifth
0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
Ages 65 to 69 Ages 80 to 90
Quintile of Primary Insurance Amount
13CONGRESSIONAL BUDGET OFFICE
Distribution of Medicare
Taxes and Spending
14CONGRESSIONAL BUDGET OFFICE
Distribution of Medicare Taxes and Spending for the
1950s Cohort
■ Both lifetime spending (net of premiums) and lifetime taxes
increase with the quintile of lifetime household earnings.
■ Lifetime spending net of taxes and premiums is lowest for
those with the highest lifetime household earnings.
15CONGRESSIONAL BUDGET OFFICE
Distribution of Medicare Taxes and Spending for the
1950s Cohort
Quintile of Lifetime Household Earnings
1 3 5
Men
Lifetime Taxes 10 70 240
Lifetime Spending, Net of Premiums 145 210 285
Lifetime Spending, Net of Taxes and Premiums 135 140 40
Women
Lifetime Taxes 10 40 105
Lifetime Spending, Net of Premiums 215 270 285
Lifetime Spending, Net of Taxes and Premiums 210 235 180
Thousands of 2015 Dollars
Annual amounts are adjusted for inflation to 2015 dollars using the GDP deflator and discounted to age 65 using the effective interest
rate on all federal debt.
16CONGRESSIONAL BUDGET OFFICE
The Role of Difference in Life Expectancy
■ Difference in life expectancy explains most of the variation in
lifetime spending across quintiles of lifetime household earnings.
■ How does the variation in annual spending with respect to the
Primary Insurance Amount affect the variation in lifetime
spending?
– Explains very little of the difference in lifetime spending between those
in the lowest and highest quintiles of lifetime household earnings
– For men, increases that difference in lifetime spending by about 20%
– For women, decreases that difference in lifetime spending by about 15%
17CONGRESSIONAL BUDGET OFFICE
Present Value of Lifetime Taxes and Spending as a Share of the
Present Value of Lifetime Earnings for the 1950s Cohort—Men
Percent
First Second Third Fourth Fifth
0
10
20
30
40
50
60
70
Quintile of Lifetime Household Earnings
Lifetime Taxes
Lifetime Spending,
Net of Premiums
18CONGRESSIONAL BUDGET OFFICE
Present Value of Lifetime Taxes and Spending as a Share of the Present
Value of Lifetime Earnings for the 1950s Cohort—Women
Percent
First Second Third Fourth Fifth
0
10
20
30
40
50
60
70
Quintile of Lifetime Household Earnings
Lifetime Taxes
Lifetime Spending,
Net of Premiums
19CONGRESSIONAL BUDGET OFFICE
Progressivity for Different Cohorts
■ Lifetime taxes as a share of lifetime earnings are about 3% for
all cohorts.
■ Lifetime spending as a share of lifetime earnings varies across
cohorts.
– Similar rates of growth are projected in lifetime spending across
quintiles of lifetime household earnings.
– Faster rates of growth are projected in lifetime earnings for those with
higher lifetime household earnings.
– Therefore, the difference in lifetime spending as a share of lifetime
earnings across quintiles of lifetime household earnings is projected to
be greater for later cohorts.
■ Medicare is projected to be more progressive for later cohorts.
20CONGRESSIONAL BUDGET OFFICE
Conclusion
■ For the 1950s cohort, Medicare is progressive.
– Lifetime Medicare spending net of taxes and premiums as a share of
lifetime earnings is greater for those with lower lifetime household
earnings.
■ Difference in life expectancy explains most of the progressivity.
■ Medicare is more progressive for later cohorts.
– The projected growth rate of lifetime earnings is greater for those of
higher lifetime household earnings.
■ Addressing important limitations of this study would probably
lead to greater progressivity for Medicare.
– Examples include transfers from general revenues and the actual out-
of-pocket costs of premiums, as well as spending and contributions of
beneficiaries under age 65.
21CONGRESSIONAL BUDGET OFFICE
References
■ Jay Bhattacharya and Darius Lakdawalla (2006), “Does
Medicare Benefit the Poor?” Journal of Public Economics,
vol. 90, no. 1, pp. 277–292.
■ Mark McClellan and Jonathan Skinner (2006), “The Incidence
of Medicare,” Journal of Public Economics, vol. 90, no. 1,
pp. 257–276.
■ Andrew J. Rettenmaier (2012), “The Distribution of Lifetime
Medicare Benefits, Taxes and Premiums: Evidence from
Individual Level Data,” Journal of Public Economics, vol. 96,
no. 9, pp. 760–772.

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Distribution of Medicare Taxes and Spending by Lifetime Household Earnings

  • 1. Congressional Budget Office Distribution of Medicare Taxes and Spending by Lifetime Household Earnings Conference of the American Society of Health Economists June 15, 2016 Xiaotong Niu Congressional Budget Office Special thanks to the staff at the National Center for Health Statistics for their assistance with accessing the restricted survey data linked to administrative files through the Research Data Center. The findings and conclusions in this paper are those of the author and do not necessarily represent the views of the Research Data Center, the National Center for Health Statistics, or the Centers for Disease Control and Prevention. The information in this presentation is preliminary and is being circulated to stimulate discussion and critical comment as developmental work for analysis for the Congress.
  • 2. 1CONGRESSIONAL BUDGET OFFICE Overview of the Study The study provides new estimates of the distribution of Medicare taxes and spending. ■ First, it uses a unique dataset to estimate the relationship between a measure of socioeconomic status (SES) and annual Medicare spending. – The new measure of SES is lifetime household earnings. ■ Second, it projects the distribution of Medicare taxes and spending for current and future beneficiaries accounting for demographic changes and economic growth using CBO’s Long- Term (CBOLT) model.
  • 4. 3CONGRESSIONAL BUDGET OFFICE How Do We Measure the Distribution of Medicare? ■ Contributions to Medicare: dedicated Medicare taxes – Mostly payroll taxes; a portion of income taxes on Social Security benefits – Exclude transfers from general revenues (general revenues consist mostly of receipts from individual income taxes) ■ Benefits from Medicare: Medicare spending (net of premiums) ■ Measure of progressivity – Medicare is progressive if beneficiaries with lower SES have higher lifetime Medicare spending net of dedicated taxes and premiums – Measure of SES: lifetime household earnings
  • 5. 4CONGRESSIONAL BUDGET OFFICE Prior Literature ■ Three recent studies give conflicting conclusions about the progressivity of Medicare depending on the choice of SES measure. – Bhattacharya and Lakdawalla (2006) – McClellan and Skinner (2006) – Rettenmaier (2012) ■ Individual-level measure of SES: Medicare is progressive – Education (Bhattacharya and Lakdawalla, 2006; focuses on Part A) – Lifetime earnings: the present value of earnings starting in age 40 (Rettenmaier, 2012) ■ Aggregate measure of SES: Medicare is neutral – Zip-code average income (McClellan and Skinner, 2006)
  • 6. 5CONGRESSIONAL BUDGET OFFICE Contributions of the Study ■ Uses an alternative measure of SES: lifetime household earnings – Education and zip-code average income could affect individual spending through channels other than individual SES. – The measure is similar to Rettenmaier (2012) but with longer earnings history for more recent cohorts of beneficiaries. ■ Uses a unique dataset to estimate the relationship between SES and annual Medicare spending – Recent cohorts of beneficiaries from the National Health Interview Survey are linked to the Social Security Administration (SSA) and Centers for Medicare and Medicaid Services (CMS) administrative data. ■ Projects the distribution of Medicare taxes and spending for current and future beneficiaries using CBOLT
  • 8. 7CONGRESSIONAL BUDGET OFFICE Data ■ National Health Interview Survey, 1994–2005 – Linked to SSA and CMS administrative data – The sample includes beneficiaries born between 1905 and 1940 who live at least to age 65 ■ Key variable: Primary Insurance Amount (PIA) at age 65 – PIA is a measure of individual lifetime earnings from the linked SSA administrative data – Six groups of beneficiaries based on PIA at age 65: • Missing value for those who never applied for Social Security benefits based on their own work history • 5 groups using PIA values that divide a 1% sample of SSA administrative data into 5 groups of equal size (or quintiles) • Separate assignment by sex and birth year
  • 9. 8CONGRESSIONAL BUDGET OFFICE Summary Statistics Men Women Time Until Death 12 months or less 3.4 2.5 13 to 24 months 3.9 3.0 More than 24 months 92.6 94.5 Level of Education Less than high school 30.6 31.5 High school 30.7 39.3 Some college 16.8 17.4 BA or above 21.9 11.9 Disabled (Social Security Disability Insurance Recipients) 9.6 6.2 Primary Insurance Amount Missing 4.2 34.7 Medicare Fee-for-Service (FFS) Enrollment 83.0 82.9 Part B Coverage 94.9 97.4 Fraction With Medicare Spending (FFS Sample) 83.7 90.4 Average Medicare Spending (FFS Sample; 2009 Dollars) 6,376 6,169 Percent of Beneficiaries in the Sample
  • 10. 9CONGRESSIONAL BUDGET OFFICE Estimation Method ■ Enrollment decision: likelihood of having Part B coverage – 𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃 𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝑖𝑖𝑖𝑖 = Φ−1(𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝑖𝑖,𝑡𝑡−1 𝛼𝛼 + 𝑋𝑋𝑖𝑖𝑖𝑖 𝛾𝛾 + 𝜂𝜂𝑖𝑖𝑖𝑖) ■ Spending level: annual spending deflated to 2009 dollars using GDP deflator (FFS sample) – 𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝑆𝑆𝑖𝑖𝑖𝑖 > 0 = Φ−1 (1𝑥𝑥>0 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝑆𝑆𝑖𝑖,𝑡𝑡−1 𝛼𝛼 + 𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝑖𝑖𝑖𝑖 𝜆𝜆 + 𝑋𝑋𝑖𝑖𝑖𝑖 𝛽𝛽 + 𝜀𝜀𝑖𝑖𝑖𝑖) – 𝐿𝐿𝐿𝐿𝐿𝐿 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆 𝑆𝑆𝑖𝑖𝑖𝑖 = 𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝑖𝑖𝑖𝑖 𝛿𝛿 + 𝑋𝑋𝑖𝑖𝑖𝑖 𝜃𝜃 + 𝜔𝜔𝑖𝑖𝑖𝑖 ■ Separate model by sex and age group ■ Φ(∙) is the logit function; 1𝑥𝑥>0(∙) is an indicator function
  • 11. 10CONGRESSIONAL BUDGET OFFICE Average Annual Spending by Primary Insurance Amount in the 2030s ■ The relationship between Primary Insurance Amount (PIA) and annual Medicare spending is projected based on: – The historical relationship between PIA and annual spending – Projected changes in demographics and labor force outcomes ■ Men – Annual spending is generally high for those in the lowest quintile of PIA, and similar or increasing slightly with PIA for other quintiles. ■ Women – Annual spending declines monotonically with PIA.
  • 12. 11CONGRESSIONAL BUDGET OFFICE Average Annual Spending by Primary Insurance Amount in the 2030s—Men Ratio to Average Missing First Second Third Fourth Fifth Missing First Second Third Fourth Fifth 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 Ages 65 to 69 Ages 80 to 90 Quintile of Primary Insurance Amount
  • 13. 12CONGRESSIONAL BUDGET OFFICE Average Annual Spending by Primary Insurance Amount in the 2030s—Women Ratio to Average Missing First Second Third Fourth Fifth Missing First Second Third Fourth Fifth 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 Ages 65 to 69 Ages 80 to 90 Quintile of Primary Insurance Amount
  • 14. 13CONGRESSIONAL BUDGET OFFICE Distribution of Medicare Taxes and Spending
  • 15. 14CONGRESSIONAL BUDGET OFFICE Distribution of Medicare Taxes and Spending for the 1950s Cohort ■ Both lifetime spending (net of premiums) and lifetime taxes increase with the quintile of lifetime household earnings. ■ Lifetime spending net of taxes and premiums is lowest for those with the highest lifetime household earnings.
  • 16. 15CONGRESSIONAL BUDGET OFFICE Distribution of Medicare Taxes and Spending for the 1950s Cohort Quintile of Lifetime Household Earnings 1 3 5 Men Lifetime Taxes 10 70 240 Lifetime Spending, Net of Premiums 145 210 285 Lifetime Spending, Net of Taxes and Premiums 135 140 40 Women Lifetime Taxes 10 40 105 Lifetime Spending, Net of Premiums 215 270 285 Lifetime Spending, Net of Taxes and Premiums 210 235 180 Thousands of 2015 Dollars Annual amounts are adjusted for inflation to 2015 dollars using the GDP deflator and discounted to age 65 using the effective interest rate on all federal debt.
  • 17. 16CONGRESSIONAL BUDGET OFFICE The Role of Difference in Life Expectancy ■ Difference in life expectancy explains most of the variation in lifetime spending across quintiles of lifetime household earnings. ■ How does the variation in annual spending with respect to the Primary Insurance Amount affect the variation in lifetime spending? – Explains very little of the difference in lifetime spending between those in the lowest and highest quintiles of lifetime household earnings – For men, increases that difference in lifetime spending by about 20% – For women, decreases that difference in lifetime spending by about 15%
  • 18. 17CONGRESSIONAL BUDGET OFFICE Present Value of Lifetime Taxes and Spending as a Share of the Present Value of Lifetime Earnings for the 1950s Cohort—Men Percent First Second Third Fourth Fifth 0 10 20 30 40 50 60 70 Quintile of Lifetime Household Earnings Lifetime Taxes Lifetime Spending, Net of Premiums
  • 19. 18CONGRESSIONAL BUDGET OFFICE Present Value of Lifetime Taxes and Spending as a Share of the Present Value of Lifetime Earnings for the 1950s Cohort—Women Percent First Second Third Fourth Fifth 0 10 20 30 40 50 60 70 Quintile of Lifetime Household Earnings Lifetime Taxes Lifetime Spending, Net of Premiums
  • 20. 19CONGRESSIONAL BUDGET OFFICE Progressivity for Different Cohorts ■ Lifetime taxes as a share of lifetime earnings are about 3% for all cohorts. ■ Lifetime spending as a share of lifetime earnings varies across cohorts. – Similar rates of growth are projected in lifetime spending across quintiles of lifetime household earnings. – Faster rates of growth are projected in lifetime earnings for those with higher lifetime household earnings. – Therefore, the difference in lifetime spending as a share of lifetime earnings across quintiles of lifetime household earnings is projected to be greater for later cohorts. ■ Medicare is projected to be more progressive for later cohorts.
  • 21. 20CONGRESSIONAL BUDGET OFFICE Conclusion ■ For the 1950s cohort, Medicare is progressive. – Lifetime Medicare spending net of taxes and premiums as a share of lifetime earnings is greater for those with lower lifetime household earnings. ■ Difference in life expectancy explains most of the progressivity. ■ Medicare is more progressive for later cohorts. – The projected growth rate of lifetime earnings is greater for those of higher lifetime household earnings. ■ Addressing important limitations of this study would probably lead to greater progressivity for Medicare. – Examples include transfers from general revenues and the actual out- of-pocket costs of premiums, as well as spending and contributions of beneficiaries under age 65.
  • 22. 21CONGRESSIONAL BUDGET OFFICE References ■ Jay Bhattacharya and Darius Lakdawalla (2006), “Does Medicare Benefit the Poor?” Journal of Public Economics, vol. 90, no. 1, pp. 277–292. ■ Mark McClellan and Jonathan Skinner (2006), “The Incidence of Medicare,” Journal of Public Economics, vol. 90, no. 1, pp. 257–276. ■ Andrew J. Rettenmaier (2012), “The Distribution of Lifetime Medicare Benefits, Taxes and Premiums: Evidence from Individual Level Data,” Journal of Public Economics, vol. 96, no. 9, pp. 760–772.