The Distribution of US Wealth, Capital Income and Returns since Emmanuel Saez (UC Berkeley) Gabriel Zucman (LSE and UC Berkeley)

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The Distribution of US Wealth, Capital Income and Returns since 1913 Emmanuel Saez (UC Berkeley) Gabriel Zucman (LSE and UC Berkeley) March 2014

Is rising inequality purely a labor income phenomenon? Income inequality has increased sharply since the 1980s yet surveys show modest increase in wealth concentration One possible explanation: rising inequality is a pure labor income phenomenon - Rise in top incomes due to top wage earners/entrepreneurs only - The working rich may not have had enough time to accumulate - Or they may have low saving rates, face very high tax rates, give a lot to charities, have low returns on their assets... preventing them from accumulating large fortunes Is this view well-founded? Our answer is No

We find that capital inequality is also rising, albeit only at the very top so far Based on new estimates of wealth and capital income distributions, we find: - Large increase in top 0.1% wealth share since 1980s (top 0.1% = wealth above $20 million today) - Even larger proportional increase for top 0.01% (top 0.01% = wealth above $100 million today) - Rising top capital income shares - No increase below the top 0.1% At very top, US back to early 20th century wealth concentration levels

Back to the roaring 1920s 30% Top 0.1% wealth share in the U.S., 1913-2012 25% 20% 15% 10% 5% 0% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 2013

No increase in wealth inequalities below top 0.1% so far 14% Top wealth shares: decomposing the top 1% 12% Top 0.5%-0.1% 10% 8% 6% 4% Top 0.1%-0.01% Top 0.01% Top 1%-0.5% 2% 0% 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 2015

We develop a new technique to estimate the distribution of wealth We capitalize income tax returns Use IRS data on individual dividends, interest, rents... Compute rates of return by asset class (Flow of Funds / NIPA) Combine income and rates of return to obtain wealth The capitalization method works for foundations For which we observe both income and wealth We are not the first but we have better data: King (1927), Stewart (1939), Atkinson & Harrison (1978), Greenwood (1983) They did not have micro data, or no breakdown by category of income, or only provided estimates for some years in isolation

Other methods obtain conflicting results and face data limitations Forbes rankings: large increase in wealth concentration, but methodological issues Forbes Surveys: SCF shows increase in top 10%, less in top 1% SCF Every 3 years, starts in 1980s, difficult to capture very top accurately (2007 SCF: 4,422 itw, of which top 0.01% 100 with response rate of 10% large s.e.), Estate tax: No increase in top 1% share since 1980s But only 1/1,000 decedents pays tax today, val. discounts, uncertainty on mortality multipliers (pb. for young wealth) Estates Capitalization method only way to have long run, yearly series covering the full distribution including the very top

A consistent study of income and wealth Capitalization method forces us to jointly study distrib. of: Total net household wealth at market value W Total capital income in the economy Y K (memo: national income Y = Y K + labor income Y L ) The rate of return on wealth - Pure yield (with retained earnings) on wealth r = Y K /W - Total return on wealth r + q = pure yield + real price effects (q = net realized plus unrealized capital gains) Well-defined, comprehensive, and coherent income and wealth concepts + micro/macro consistency

Outline of the talk 1) Aggregate wealth, capital income, and rates of returns 2) The capitalization method 3) The distribution of wealth 4) Decomposing wealth accumulation: the distribution of saving rates and rates of return 5) Conclusion

I- Aggregate wealth, capital income, and rates of returns in the U.S. over the last century

Aggregate income and wealth: concepts and data defs Wealth Income W = Total assets minus liabilities of households at market value Excludes durables, unfunded DB pensions, non-profits Flow of Funds since 1945 Before 1945: Goldsmith, Wolff (1989), Kopczuk & Saez (2004): based on same concepts and methods as Flow of Funds NIPA since 1929 Kuznets (1941) for 1919-1929 and King (1930) before

Capital is back in the U.S. Key facts about U.S. capital: Long-run U-shape pattern in wealth-to-income ratio β = W /Y (450% early 20c, 300% mid-20c, 450% today and rising fast) Long-run U-shape pattern in the capital share α = Y K /Y (30% early 20c, 25% mid-20c, 30% today and rising fast) With β = 450% and α = 30% then yield r = α/β = 6.66% (pre-tax; with tax rate τ 33%, after tax yield r(1 τ) 4.5%) Total return r + q r in the long run (but huge short run volatility of q and large diff. across assets)

A U-shaped wealth-income ratio The composition of household wealth in the U.S., 1913-2013 500% 400% % of national income 300% 200% 100% Equities Sole proprietorships & partnerships Pensions 0% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 2013 Currency, deposits and bonds Housing (net of mortgages)

A U-shaped capital income share 35% The composition of capital income in the U.S., 1913-2013 30% % of factor-price national income 25% 20% 15% 10% 5% Corporate profits Noncorporate business profits Profits & interest paid to pensions 0% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 2013 Net interest Housing rents (net of mortgages)

Returns volatility is back 20% 15% Yield and total return on U.S. private wealth 1913-2013 Pure yield = capital income (including retained earnings) / wealth 10% 5% 0% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 2013-5% Total return = pure yield + asset price effect -10%

In the long run pure price effects tend to wash out 14% Yield and total return on U.S. private wealth 1913-2013 (decennial averages) 12% Pure yield 10% 8% 6% 4% 2% Total return = pure yield + asset price effect 0% 1913-19 1920-29 1930-39 1940-49 1950-59 1960-69 1970-79 1980-89 1990-99 2000-09 2010-13

II- The capitalization method

To obtain wealth, we multiply reported capital income by inverse of rate of return How the capitalization technique works: Start from capital income reported on individual tax returns Compute aggregate capitalization factor for each asset class (Flow of Funds) Multiply each individual income component by aggregate capitalization factor of corresponding asset class Simple idea, but lot of care needed in reconciling tax with Flow of Funds data Key assumption: constant return within asset class Need detailed income categories to obtain reliable results

Key data source: income tax returns Consistent, annual, high quality data since 1913: Composition tabulations by size of income 1913- IRS micro-files with oversampling of the top 1962- Various additional IRS published stats (estates, IRAs, trusts, foundations) Detailed income categories: Dividends, interest (+ tax exempt since 1987), rents, unincorporated business profits (S corporations, partnerships, sole prop.), royalties, realized capital gains, etc. A lot of income flows to individual income tax returns Mutual funds, S corporations, partnerships, holding companies...

How we deal with non-taxable income Pensions Published IRS data on market-value of IRAs ( 30% of pension wealth) Imputations for other forms of pension wealth (based on wages & pension distributions) Owner-occupied housing Property tax paid Mortgage interest paid Only matters for top 10% but irrelevant for top 1% and above, because pensions and housing very small there

How we deal with avoidance and evasion Tax avoidance: Systematic reconciliation exercice with national accounts to identify potential gaps in tax data kinc E.g., trust income imputations on the basis of distributions (Retained trust inc. 2% of household capital income) trusts Tax evasion: Third-party reporting means all dividends and interest earned through domestic banks well declared Problem with offshore wealth If anything increases the trend in rising wealth inequalities Attempt at quantifying this issue by using time series estimates of offshore wealth in Switzerland [in progress]

Is the return constant within asset class? Two potential issues: Maybe the very rich have higher equity/bond returns (e.g., better at spotting good investment opportunities) level bias Maybe this differential has increased since the 1970s (e.g., due to financial globalization/innovation) trend bias Two checks show that return within asset class is flat and has remained flat

Check 1: No evidence that the wealthy have higher returns within asset class 10.0% 9.0% Returns by asset and wealth class, 2007 (matched tabulated estates and income tax data) 8.0% 7.0% Dividends + capital gains 6.0% 5.0% 4.0% Dividends yield 3.0% 2.0% 1.0% 0.0% Interest yield up to $3.5m $3.5m-$5m $5m-$10m $10m-$20m $20m+ Total net wealth at death

The very rich did collect a lot of dividends in the 1970s 8.0% Dividend yield by wealth class in 1976 (matched micro estate and income tax data) 7.0% 6.0% 5.0% 4.0% 3.0% 2.0% 1.0% P90-95 P95-99 P99-99.5 P99.5-99.9 P99.9-99.99 P99.99-100 Fractiles of the distribution of net wealth at death

Check 2: The capitalization method works for foundations How we check the validity of the capitalization method with foundations data: Use publicly available, quasi-exhaustive IRS micro-data Micro-files include information on wealth at market value and income Apply same rates of returns & capitalization technique as for individuals (Memo: foundation wealth = 0.8% of household wealth mid-1980s, 1.2% today) By capitalizing foundation income we are able to reproduce the correct foundation wealth distribution

The capitalization method works for foundations 80 Top foundations wealth shares: observed (from balance sheet data) vs. estimated (by capitalizing income) 70 Top 1% (observed) Top 1% (estimated by capitalizing income) 60 50 40 30 20 1987 1989 1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 % of foundation net wealth Top 0.1% (observed) Top 0.1% (estimated by capitalizing income)

III- The US Wealth Distribution, 1913-2012

Wealth inequality is making a comeback Main long-run trends in the distribution of wealth: Long run U-shaped evolution for the very rich (top 0.1%: >$20 million today) Long run L-shaped evolution for the rich (top 1% to 0.1%: btw $4 million and 20 million today) Long-run for the middle-class (top 50% to 90%: less than $500K today) (Memo: Bottom 50% always owns 0 net wealth)

Wealth has always been very concentrated 100% Top 10% wealth share vs. bottom 90% in the U.S., 1917-2012 90% 80% Top 10% 70% 60% 50% 40% 30% 20% 10% Bottom 90% 0% 1917 1922 1927 1932 1937 1942 1947 1952 1957 1962 1967 1972 1977 1982 1987 1992 1997 2002 2007 2012

The top 10% is climbing back 90% Top 10% wealth in the U.S., 1917-2012 85% 80% 75% 70% 65% 60% 1917 1922 1927 1932 1937 1942 1947 1952 1957 1962 1967 1972 1977 1982 1987 1992 1997 2002 2007 2012

Top 1% has gained more than top 10% 50% Top 1% wealth share in the U.S., 1913-2012 45% 40% 35% 30% 25% 20% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 2013

The middle rich are losing ground 50% Top 10-1% wealth share in the U.S., 1917-2012 45% 40% 35% 30% 25% 20% 1917 1922 1927 1932 1937 1942 1947 1952 1957 1962 1967 1972 1977 1982 1987 1992 1997 2002 2007 2012

Top 1% surge is due to the top 0.1% 30% Top 0.1% wealth share in the U.S., 1913-2012 25% 20% 15% 10% 5% 0% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 2013

Almost no recovery for the merely rich 30% Top 1-0.1% wealth share in the U.S., 1913-2012 25% 20% 15% 10% 5% 0% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 2013

Top 0.01% share: 4 in last 35 years 14% Composition of the top 0.01% wealth share, 1913-2012 12% % of net household wealth 10% 8% 6% 4% Fixed income claims 2% 0% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 Equities Other

The rise and fall of middle-class wealth Composition of the bottom 90% wealth share 45% 40% 35% % of net household wealth 30% 25% 20% 15% Business assets Equities & fixed claims (net of non-mortgage debt) 10% 5% 0% 1917 1922 1927 1932 1937 1942 1947 1952 1957 1962 1967 1972 1977 1982 1987 1992 1997 2002 2007 2012 Pensions Housing (net of mortgages)

Findings are robust to different methodological choices Robustness checks: Different treatment of capital gains Capitalizing dividends only (Bill Gates world) Capitalizing dividends plus capital gains (Warren Buffet world) Capitalizing dividends plus capital gains for shares but not ranking (the best of both worlds) Allowing for bond yield rising with wealth Different imputations for pension wealth All show wealth inequalities rising fast at the very top, but not below the top 0.1% graph

IV- Decomposing Wealth Accumulation: The Distribution of Rates of Returns and Saving Rates

What is driving the dynamics of the wealth distribution? Wealth accumulation can always be written: W t+1 = W t [1 + r (1 τ K ) + q] + Y L (1 τ L ) C Forces potentially pushing toward more wealth concentration: Pre-tax rate of return r + q rising with wealth Tax rates on capital τ K and labor τ L going down Saving rates rising with wealth In what follows, estimates of saving and rates of returns by wealth group

We construct new estimates of saving rates and returns by wealth group Returns: Yields and price effects by asset class from national accounts Combined with wealth composition of different groups For pre-tax r: needs incidence assumptions Saving rates: Compute synthetic saving rates by wealth group Using changes in the market value of wealth and capital gains/losses by wealth group: W t+1 = (Q t+1 /Q t ) (W t + S t ) We have income, wealth, saving & returns by wealth group

The role of saving and returns differentials has changed over time 1913-1929: Saving rates and returns r + q both sharply rising with wealth explosive inequality dynamics 1929-1986: Major shocks on asset prices q affecting the rich disproportionately and highly progressive capital taxes compression 1986-2013: 0 saving at the bottom and high S at the top rising wealth concentration Higher pre-tax returns for rich today, but differential lower than 1 century ago bc. democratization of equities through pensions Three distinct periods

Decomposition of wealth growth rate Rates of saving & return Real growth rate of wealth Savingsinduced wealth growth rate Real rate of capital gains Growth rate of number of families Real growth rate of wealth per family Private saving rate (personal + retained earnings) Total pre-tax rate of return g w g ws = S/W q=(1+g w) / (1+g ws) -1 n g wf s = S/Y r + q 1917-1929 All 3.8% 2.7% 1.0% 2.0% 1.8% 10% 9.2% Bottom 90% 1.3% 0.1% 1.2% -0.6% 0% 8.2% Top 10% 4.4% 3.5% 0.9% 2.4% 24% 9.4% Top 1% 5.1% 4.1% 1.0% 3.1% 35% 10.1% 1929-1986 All 3.0% 3.4% -0.4% 1.4% 1.5% 11% 6.7% Bottom 90% 4.3% 3.1% 1.2% 2.8% 4% 7.4% Top 10% 2.5% 3.6% -1.0% 1.1% 23% 6.5% Top 1% 2.0% 3.5% -1.5% 0.5% 29% 6.5% 1986-2012 All 3.4% 1.9% 1.5% 1.4% 1.9% 7% 7.8% Bottom 90% 2.1% 0.4% 1.8% 0.7% 1% 7.7% Top 10% 3.9% 2.6% 1.3% 2.5% 16% 8.0% Top 1% 4.9% 3.5% 1.4% 3.4% 26% 8.3%

The bottom 90% massively dis-saved in the decade preceding the crisis 15% Saving rate of the bottom 90% 10% % of bottom 90% primary income 5% 0% 1975 1980 1985 1990 1995 2000 2005 2010-5% -10%

Saving rates rise with wealth except in the 1930s 50% Saving rates by wealth class (decennial averages) % of each group's total primary income 40% 30% 20% 10% 0% Top 10 to 1% Bottom 90% Top 1% -10% 1913-19 1920-29 1930-39 1940-49 1950-59 1960-69 The rich save more as a fraction of their income, except in the 1930s when there was large dissaving through corporations. NB: The average private saving rate has been 9.8% over 1913-2013. 1970-79 1980-89 1990-99 2000-09 2010-12

Pre-tax rates of returns rise with wealth 9.0% 8.0% Real price effects Pure yield Pre-tax return on wealth by wealth group 1986-2012 average 7.0% 6.0% 5.0% 4.0% Bottom 90% Top 10% Top 1% Top 0.1% Top 0.01%

Post-tax rates of returns are the same across wealth groups today 7.0% 6.0% Post-tax return on wealth by wealth group 1990-2012 average 5.0% 4.0% 3.0% 2.0% 1.0% 0.0% Top 10% Top 1% Top 0.5% Top 0.1% Top 0.01% Note: the average post-tax total return on wealth has been 5.5% over 1990-2012

Post-tax rates of returns used to decline with wealth 4.0% 3.5% 3.0% 2.5% 2.0% 1.5% 1.0% 0.5% Post-tax return on wealth by wealth group 1960-1980 average 0.0% Top 10% Top 1% Top 0.5% Top 0.1% Top 0.01% Note: the average post-tax total return on wealth has been 3.5% over 1960-1980

Rates of returns rise with wealth: the case of foundations 10.0% 9.0% 8.0% 7.0% 6.0% 5.0% 4.0% 3.0% 2.0% 1.0% 0.0% Return on foundation wealth, 1985-2010 average Return includes realized + net unrealized capital gains 100k-1m 1m-10m 10m-100m 100m-1bn 1bn+ Net foundation wealth

V- Conclusion

A first step toward DINA We are constructing new, consistent series on the distribution of wealth W and capital income Y K Y K is about 1/3 of national income Y Next step: distribution of Y L so as to obtain the full distribution of national income Y = Y K + Y L Will make it possible to break GDP growth by fractile, before and after-tax, based on a representative microfile with individual-level income and wealth consistent with macro aggregates = distributional national accounts (DINA), reconciling macro and inequality studies OTA

There is a need for more data Using additional data would enable us to refine our estimates: E.g., matched property and individual income tax data Limited additional administrative data collection effort could have high value: 401k sending account balances (and not only IRAs) Mortgages outstanding Market value of portfolio securities on forms 1099 Purchases and sales of securities ( saving) All of this necessary to obtain fully accurate distributional national accounts

Supplementary Slides

Wealth categories definition back Equities: corporate equities, including S corporation equities, and money market fund shares (treated as dividend-paying for income tax purposes) Fixed claims: currency, deposits, bonds, and other interest-paying assets, net of non-mortgage debts Business assets: sole proprietorships, farms (land and equipment), partnerships, intellectual property products Housing: owner- and tenant-occupied housing, net of mortgage debt Pensions: funded pension entitlements, life insurance reserves, IRAs. Excludes social security and unfunded defined benefit pensions

What tax data miss 35% 30% From reported to total capital income, 1920-2010 Retained earnings % of factor-price national income 25% 20% 15% 10% Non-filers & evasion Corporate income tax Imputed rents Income paid to pensions & insurance 5% Didivends, interest, rents & profits reported on tax returns 0% 1920 1925 1930 1935 1940 1945 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 back

Most trusts generate income taxable at the individual level 12% Wealth held in estates & trusts 10% % net household wealth 8% 6% 4% 2% Total estate & trust wealth Estate & trust wealth that does not generate distributable income 0% 1952 1962 1972 1982 1992 2002 2012 back

Results robust to alternative treatment of pensions, capital gains, bond returns Top 0.1% wealth share, robustness checks 25% Top 0.1% Baseline Top 0.1% KG capitalized Top 0.1% KG not capitalized 20% Top 0.1% pensions proportional to pension distributions Top 0.1% higher bond return for the rich 15% 10% 5% 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 back

Our top 10% wealth share is consistent with SCF 90% Top 10% Wealth Shares: Comparing Es8mates 85% 80% 75% 70% 65% 60% Capitalized Incomes (Saez- Zucman) 55% SCF (Kennickell) 50% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 back

Estate tax returns fail to capture rising top wealth shares 50% 45% 40% 35% 30% 25% 20% Top 1% Wealth Shares: Comparing Es7mates 15% Capitalized Incomes (Saez- Zucman) 10% Estates (Kopczuk- Saez and IRS) 5% SCF (Kennickell) 0% 1913 1918 1923 1928 1933 1938 1943 1948 1953 1958 1963 1968 1973 1978 1983 1988 1993 1998 2003 2008 back

Our estimate for top 0.01% is consistent with Forbes rankings 3.5% Top 400 (top.00025%) and Top.01% Wealth Shares 14% Top 400 (.00025%) wealth share 3.0% 2.5% 2.0% 1.5% 1.0% 0.5% Top 400 Top.01% 12% 10% 8% 6% 4% 2% 0.0% 0% 1983 1985 1987 1989 1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011 2013 Top.01% wealth sahre back

The concentration of declared capital income is rising fast Top capital income shares including capital gains 70% Top 1% 60% 50% Top 0.5% 40% 30% Top 0.1% 20% 10% Top 0.01% 0% 1960 1967 1972 1977 1982 1987 1992 1997 2002 2007 2012

Improving Estimates with Internal Data Internal IRS data could be used to refine our estimates: back Value of all IRAs available at individual micro level (30% of all pensions) Value of DB and 401(k) pensions could be estimated from employer and past contributions Value of homes could be estimated using geo-code and Zillow Value of businesses (partnerships and S-corps) could be estimated by matching with business returns balance sheets Date of birth data to compute wealth distributions by age Date of death data to compute mortality rates by wealth and improve estate multiplier estimates

Improving Estimates with Enhanced Information Tax Reporting 401k reporting of account balances (and not only IRAs) Market/assessed value of real estate on property tax bills Mortgages outstanding on form 1098 Market value of accounts and portfolio securities on forms 1099 Purchases and sales of securities ( saving) This would allow to obtain consistent income, wealth, and savings information at the micro-level Foundations or charitable organizations already report all this information back