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"Top Incomes in the Long Run of History" with Tony Atkinson and

"Top Incomes in the Long Run of History" with Tony Atkinson and

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Atk<strong>in</strong>son, Piketty, <strong>and</strong> Saez: <strong>Top</strong> <strong>Incomes</strong> <strong>in</strong> <strong>the</strong> <strong>Long</strong> <strong>Run</strong> <strong>of</strong> History3355%50%Adjusted <strong>with</strong> tax data <strong>in</strong>clud<strong>in</strong>g K ga<strong>in</strong>sAdjusted <strong>with</strong> tax data exclud<strong>in</strong>g K ga<strong>in</strong>sOfficial CPS seriesCPS data (bottom 99%)45%40%35%30%196719691971197319751977197919811983198519871989199119931995199719992001200320052007G<strong>in</strong>i coefficientFigure 6. CPS G<strong>in</strong>i Coefficients: Correct<strong>in</strong>g <strong>Top</strong> 1 Percent <strong>with</strong> Tax DataNotes: Official CPS data series is <strong>the</strong> <strong>of</strong>ficial G<strong>in</strong>i coefficient estimated from CPS data by <strong>the</strong> Bureau <strong>of</strong> Census(Current Population Reports, Series P60–231). The unit <strong>of</strong> analysis is <strong>the</strong> household (not <strong>the</strong> family) <strong>and</strong> <strong>in</strong>come<strong>in</strong>cludes cash transfers. The discont<strong>in</strong>uity from 1992 to 1993 is due to changes <strong>in</strong> measurement <strong>and</strong> survey collectionmethods.CPS data (bottom 99 percent) series report <strong>the</strong> G<strong>in</strong>i coefficient based on CPS data but exclud<strong>in</strong>g <strong>the</strong> top 1 percent.We have computed those series us<strong>in</strong>g <strong>the</strong> formula G = (1 − S)G0 + S from Atk<strong>in</strong>son (2007b) where G is <strong>the</strong> G<strong>in</strong>ifor <strong>the</strong> full population (Official CPS series), G0 <strong>the</strong> G<strong>in</strong>i for <strong>the</strong> bottom 99 percent, <strong>and</strong> S is <strong>the</strong> top 1 percent <strong>in</strong>comeshare (from Burkhauser et al. 2009, depicted on figure 5). Note that <strong>the</strong> discont<strong>in</strong>uity from 1992 to 1993 vanishesentirely for <strong>the</strong> bottom 99 percent G<strong>in</strong>i demonstrat<strong>in</strong>g that <strong>the</strong> discont<strong>in</strong>uity <strong>in</strong> <strong>the</strong> G<strong>in</strong>i is entirely due to changes <strong>in</strong><strong>the</strong> measurement <strong>and</strong> censor<strong>in</strong>g <strong>of</strong> top <strong>in</strong>comes <strong>with</strong><strong>in</strong> <strong>the</strong> top 1 percent.Adjusted tax data series adjusts <strong>the</strong> CPS G<strong>in</strong>i coefficient for <strong>the</strong> rise <strong>in</strong> <strong>the</strong> top percentile share <strong>in</strong> <strong>the</strong> tax data notcaptured by <strong>the</strong> CPS. Def<strong>in</strong><strong>in</strong>g as D <strong>the</strong> difference <strong>in</strong> <strong>the</strong> top percentile shares from tax data (from Piketty <strong>and</strong> Saez,2003) <strong>and</strong> <strong>the</strong> CPS data (from Burkhauser et al. 2009), <strong>the</strong> adjusted G<strong>in</strong>i is computed as (1 − D) G + D where G is<strong>the</strong> Official CPS G<strong>in</strong>i series (displayed <strong>in</strong> <strong>the</strong> graph). We have made those corrections both us<strong>in</strong>g <strong>the</strong> tax data series<strong>in</strong>clud<strong>in</strong>g capital ga<strong>in</strong>s <strong>and</strong> us<strong>in</strong>g tax data series exclud<strong>in</strong>g capital ga<strong>in</strong>s. Aga<strong>in</strong>, <strong>the</strong> fact that <strong>the</strong> discont<strong>in</strong>uity from1992 to 1993 disappears <strong>in</strong> those corrected series confirms that <strong>the</strong> discont<strong>in</strong>uity <strong>in</strong> <strong>the</strong> <strong>of</strong>ficial CPS G<strong>in</strong>i series isentirely due to changes <strong>in</strong> <strong>the</strong> measurement <strong>of</strong> top <strong>in</strong>comes <strong>with</strong><strong>in</strong> <strong>the</strong> top 1 percent.The G<strong>in</strong>i correction us<strong>in</strong>g series <strong>in</strong>clud<strong>in</strong>g capital ga<strong>in</strong>s is <strong>the</strong> most mean<strong>in</strong>gful economically because (a) realizedcapital ga<strong>in</strong>s are a significant source <strong>of</strong> <strong>in</strong>come at <strong>the</strong> top (as many corporations reta<strong>in</strong> substantial earn<strong>in</strong>gs or distributepr<strong>of</strong>its us<strong>in</strong>g share repurchases <strong>in</strong>stead <strong>of</strong> dividends), (b) top 1 percent <strong>in</strong>come share series <strong>in</strong>clud<strong>in</strong>g capitalga<strong>in</strong>s are not affected as much by tax manipulation around TRA 1986 (as expla<strong>in</strong>ed <strong>in</strong> <strong>the</strong> notes to figure 5).

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