Political Calculations
December 8, 2009

Hauser's law is one of the stranger phenomenons in economic data. It was originally proposed by Kurt Hauser, who observed back in 1993 that:

No matter what the tax rates have been, in postwar America tax revenues have remained at about 19.5% of GDP.

We decided to put Hauser's Law to the test to see if it holds up. To do that, we turned to the National Taxpayers Union, which maintains a table showing the level of the topmost marginal income tax rates for individuals from 1913 through the present. Looking just at the postwar period, we find that the marginal tax rate that applies for the U.S.' uppermost income tax bracket has ranged from a high of 92% in 1953 and 1954 to a low of 28% from 1988 through 1990. The current top rate is 35%, which is scheduled to increase after 2010 to 39.6% when the tax cuts of the 2003 Jobs and Growth Tax Relief Reconciliation Act expire.

We next turned to the Table 1.2 Summary of Receipts, Outlays, and Surpluses or Deficits as Percentages of GDP: 1930-2014, which is produced by the White House's Office of Management and Budget, since this Excel spreadsheet contains both the amount of total federal government tax revenues (aka "receipts") and the value of GDP for each of our years of interest, including forecasts for these values from 2009 through 2014.

But that's not all. It occurred to us that those total tax receipts include money from a lot more tax sources than just personal income taxes. Things like Social Security taxes, Medicare taxes, corporate income taxes, capital gains and excise taxes all contribute to the governments total tax collections. We wanted to also see how changing the individual income tax rates affected personal income tax collections, so we extracted the historic data on personal income tax collections provided by the Center on Budget and Policy Priorities through 2003, updated with data from the IRS for 2004, 2005 and 2006, the most recent year for which we could obtain the data and calculate the corresponding percentage share of GDP.

Maximum Marginal Personal Income Tax Rate, Federal Tax Receipts as a Percentage Share of GDP, 1946-2014 The results of what we found in doing this are graphically presented in the double chart (click for a larger image), where we've also indicated periods of recession.

What we find in looking at the lower chart is that the federal government's tax collections from both personal income taxes and all sources of tax revenue are remarkably stable over time as a percentage share of annual GDP, regardless of the level to which marginal personal income tax rates have been set.

We also find that both total and personal income tax receipts appear to follow a normal distribution with respect to time. We calculate that personal income tax collections as a percentage share of GDP from 1946 through 2006 has a mean of 8.0%, with a standard deviation of 0.8%, which we've indicated by the horizontal orange band on the chart. We would expect that annual personal income tax collections would fall within the range indicated by the orange band some 68.2% of the time. We've also indicated upper and lower limits for personal income tax receipts, which correspond to the mean value we observe plus or minus three standard deviations, as we would expect personal income tax collections in any given year to fall within this range some 99.6% of the time.

Likewise, we see a similar pattern in total tax receipts. Here, we observe that total tax collections as a percentage share of annual GDP over the historic and forecast period have a mean value of 17.8% with a standard deviation of 1.2%.

We also observe that the three periods in which the federal government's tax receipts have risen above the orange bands marking a one-standard deviation difference from the mean value, each of which coincide with unusual circumstances, which we've indicated in the double chart with the light green vertical bands:

  1. In 1968, the Democratic U.S. Congress and President Lyndon Johnson passed a 10% income surtax that took effect in mid-year, which suddenly raised the top tax rate from 70% to 77% (which increased the amount collected from top income tax earners by 10%.) Coupled with a spike in inflation, for which personal income taxes were not adjusted to compensate, this tax hike led to outsize income tax collections in that year.

  2. The sustained high inflation of 1978 (7.62%), 1979 (11.22%), 1980 (13.58%) and 1981 (10.35%) led to higher tax collections through bracket creep, as income tax brackets in the U.S. were not adjusted for inflation until 1985 as part of President Ronald Reagan's first term Economic Recovery Tax Act.

  3. Beginning in April 1997, the Dot Com Stock Market Bubble created an excessive number of new millionaires as investors swarmed to participate in Internet and "tech" company initial public offerings or private capital ventures, which in turn, inflated personal income tax collections. Unfortunately, like the vaporware produced by many of the companies that sprang up to exploit the investor buying frenzy, the illusion of prosperity could not be sustained and tax collections crashed with the incomes of the Internet titans in the bursting of the bubble, leading to the recession that followed.

Now, what about those other taxes? Zubin Jelveh looked at the data back in 2008 and found that as corporate income taxes have declined over time, social insurance taxes (the payroll taxes collected to support Social Security and Medicare) have increased to sustain the margin between personal income tax receipts and total tax receipts. This makes sense given the matching taxes paid by employers to these programs, as these taxes have largely offset a good portion of corporate income taxes as a source of tax revenue from U.S. businesses. We also note that federal excise taxes have risen from 1946 through the present, which also has contributed to filling the gap and keeping the overall level of tax receipts as a percentage share of GDP stable over time.

More practically, Hauser's Law provides a method we can use to anticipate the likely range for how much money the U.S. government will collect in any given year, from just personal income taxes or in total, given that year's level of GDP.

Labels:



<< Home
Unexpectedly Intriguing!

About Political Calculations



blog advertising
is good for you

Welcome to the blogosphere's toolchest! Here, unlike other blogs dedicated to analyzing current events, we create easy-to-use, simple tools to do the math related to them so you can get in on the action too! If you would like to learn more about these tools, or if you would like to contribute ideas to develop for this blog, please e-mail us at:

ironman at politicalcalculations.com

Thanks in advance!

Recent Posts

Baseline Government Spending

On the Moneyed Midways - December 4, 2009

Dividend Futures Jump, Will Stock Prices Follow?

A Public Service Announcement

The Next Dollar Replacement?

Entering Uncharted Waters

Has Climate Science Become a Pseudoscience?

On the Moneyed Midways - November 27, 2009

Hearty Thanksgiving Greetings!

Turkey-a-Go-Go 2009: The Diminishing Bird

Most Popular Posts

The S&P 500 at Your Fingertips

The Distribution of Income for 2010: Individuals

Should You Trade in Your Gas Guzzler?

What Are the Chances Your Marriage Will Last?

Tipping Around the World

What's Your Body Fat Percentage?

The Odds of Dying, Again!

Gas Prices, the Unemployment Rate, and Desperation

Hauser's Law

The Real Story Behind "Rising" U.S. Income Inequality

Quick Index

First Time Visitor to Political Calculations?

On the Moneyed Midways

A Lot, But Not All, of Our Tools

U.S. GDP Temperature Gauge

Political Calculations' GDP Temperature Gauge, 2013Q1 First Estimate Political Calculations' U.S. GDP Temperature Gauge provides a means to quickly evaluate the growth rate of the U.S. economy against the backdrop of how the economy has performed since 1980, with the "temperature" color spectrum ranging from a recessionary "cold" (purple) through an expansionary "hot" (red).

The GDP Temperature Gauge presents both the annualized GDP growth rate as reported by the U.S. Bureau of Economic Analysis reports for a one-quarter period and also as averaged over a two quarter period, which smooths out the volatility seen in the one-quarter data and provides a better indication of the relative strength of the U.S. economy over time.

Site Data

This site is primarily powered by:

This page is powered by Blogger. Isn't yours?

Visitors since December 6, 2004:

CSS Validation

Valid CSS!

RSS Site Feed

AddThis Feed Button

JavaScript

The tools on this site are built using JavaScript. If you would like to learn more, one of the best free resources on the web is available at W3Schools.com.

Other Cool Resources

ZunZun - Exceptional regression analysis tool.
Wolfram Integrator - Solve integrals. Do calculus!
Create a Graph - Easy-to-use basic graph-making tool.
Many Eyes - Data visualization extraordinaire!
Wolfram Alpha - Computational knowledge engine.
Khan Academy - Math & science video mini-lectures!
Picasion - Animate images.


Archives
December 2004
January 2005
February 2005
March 2005
April 2005
May 2005
June 2005
July 2005
August 2005
September 2005
October 2005
November 2005
December 2005
January 2006
February 2006
March 2006
April 2006
May 2006
June 2006
July 2006
August 2006
September 2006
October 2006
November 2006
December 2006
January 2007
February 2007
March 2007
April 2007
May 2007
June 2007
July 2007
August 2007
September 2007
October 2007
November 2007
December 2007
January 2008
February 2008
March 2008
April 2008
May 2008
June 2008
July 2008
August 2008
September 2008
October 2008
November 2008
December 2008
January 2009
February 2009
March 2009
April 2009
May 2009
June 2009
July 2009
August 2009
September 2009
October 2009
November 2009
December 2009
January 2010
February 2010
March 2010
April 2010
May 2010
June 2010
July 2010
August 2010
September 2010
October 2010
November 2010
December 2010
January 2011
February 2011
March 2011
April 2011
May 2011
June 2011
July 2011
August 2011
September 2011
October 2011
November 2011
December 2011
January 2012
February 2012
March 2012
April 2012
May 2012
June 2012
July 2012
August 2012
September 2012
October 2012
November 2012
December 2012
January 2013
February 2013
March 2013
April 2013
May 2013

Blog Roll

Bloodhoundblog
Budgets Are Sexy
Cafe Hayek
Carpe Diem
Core77
Coyote Blog
Craig Harper
Darwin's Finance
Digerati Life, The
Division of Labour
Dough Roller, The
Eclectecon
Econlog
Economics Roundtable
EconomicsUK
Environmental Economics
Escape from Cubicle Nation
Execupundit
FiscalGeek
Get Rich Slowly
Gongol
Good Financial Cents
HR Bartender
Hot Air
i4cp Productivity
Innocent Bystanders
Innovation and Growth
Instapundit
Intangible Economy
I've Paid Twice for This Already
Joanne Jacobs
Kaus Files
Len Penzo dot Com
Making Ripples
Market Power
Mechonomics
Mighty Bargain Hunter
Monevator
My Dollar Plan
New Economist
Newmark's Door
Nina Simosko
Physorg
Private Sector Development
Real Clear Politics
Richard Fernandez
Roger L. Simon
Rowan Manahan
Sound Politics
SOX First
Sports Economist, The
squawkfox
Three Star Leadership
Tim Worstall
Townhall
Trusted Advisor
Uncommon Misperceptions
voluntaryXchange
WILLisms
Winterspeak

Market Links

Big Picture, The
Crackerjack Finance
CXO Advisory Group
Disciplined Approach to Investing
Dividend Guy, The
Doug Short
Evidence Investing
Fat Pitch Financials
FX Investment Strategies
Oilprice

Charities We Support

American Red Cross
Children's Heart Foundation
Salvation Army
SMA Foundation

Recommended Reading

Kindle Paperwhite 3G - Best e-reader!
Angel in the Whirlwind
Bailout Nation
Cartoon Guide to Statistics
A Comprehensive Guide to the Peloponnesian War
The Complete Personal Memoirs of Ulysses S. Grant
The Count of Monte Cristo
Ender's Game
Gardner's Art Through the Ages
Empire of Wealth
How to Make Presentations to Councils and Boards
Juran's Quality Handbook
Marks' Standard Handbook
The Second World War
Stocks for the Long Run
Why Smart Executives Fail

Recommended Viewing

The Tudors: The Complete Series

Recently Shopped

Kindle Fire HD 8.9" 4G LTE Wireless 32 GB
Snap Circuits Jr. SC-100
Nerf Vortex Praxis
Sony BRAVIA 40" LED HDTV
2540 Series Docking Station
New Balance MX623
Dunham Men's Waterproof Oxford
TN360 Black Toner Cartridge
The Dangerous Book for Boys
Air Swimmer Remote Control Inflatable Flying Shark
Fisher-Price Little People Lil Pirate Ship

Seeking Alpha Certified