Track your comments!
[x]


When you register, comments on your articles and replies to your comments appear here. Register Now!

Sign in to your account
[x]

Not a Scientific Blogging member yet?

Register Now for a Free Scientificblogging.com Account

  • Customize your profile with pictures, banner, a blogroll and more.
  • Leave comments on articles, add other members to your friend lists, chat with people on the site.
  • Write blog posts that can be seen by hundreds of thousands of readers.

It's free and it only takes a minute!

Already a Scientific Blogging member?

Sign In Now

Fake Banner
By Gerhard Adam | July 7th 2009 08:28 PM | 4 comments | Print | E-mail | Track Comments
This priceless little pearl of wisdom comes from a graph called the Laffer Curve. It is based on the premise that there is a critical point of government taxation where taxes become counter-productive and therefore reduce the flow of revenue into federal coffers. This has become a favorite pronouncement of politicians since they can lay claim to wanting to lower taxes and still raise federal revenues.

Before we start I want to be clear that I am not making predictions, nor advocating any particular solution, since that would only be speculative on my part. Instead I am simply reviewing what is supposed to be a part of modern economic theory to see what it tells us.

Let’s examine the Laffer Curve.


Sometimes the graph is drawn horizontally, but it expresses exactly the same concepts, so the relative orientation is irrelevant.

As you can see, there is a point A and a point B shown on the graph which indicates that the same revenue is available at two vastly different tax rates. In other words, the tax rate from point B can be lowered to the rate indicated at point A and the government would collect the same revenues, or this is what the graph would have you believe.

The first question to ask, is what mathematical formula gave rise to this expression. Interestingly, there isn’t one. This is simply drawn from someone’s imagination and is used to represent what economists ‘think” might happen.

It should be clear from the most cursory examination that the optimum revenue would be generated at a 50% tax rate. There’s no need for debate, since that is clearly what is indicated by the graph. Obviously things aren’t quite that simple.

Assessing the end points, at 0% tax rate, it is clear that the government would collect no revenue, so this agrees with our intuition. However at 100% the graph also shows the government collecting no revenue. This isn’t quite so intuitive, so let’s see if it’s true.

Since the tax base consists of individuals as well as businesses, a 100% tax rate would indicate that all the money earned/generated would go to the federal government. However, this represents one of the problems with the Laffer Curve. Regardless of how one interprets the concept of 100% tax rate, the reality is markedly different and isn’t explained by the model.

Since the economy consist of people (and businesses), they cannot survive on nothing, so something must be happening that is hidden from this simplistic graph. If we assume that people want to eat, and have a place to live, and all the other necessities of living (we’ll ignore luxury items), then it is clear that they must have a source of income. Similarly businesses must have a source of revenue to maintain operations.

What we actually find is that instead of 0% revenue, the government is collecting 100% of the wealth and then redistributing the income amongst the people and businesses to facilitate the requirements of the society. In other words, the government becomes an exclusive distributor of wealth and effectively subsidizes everything. This is similar to what happened in many of the communist countries, where the government determined what one was paid and what revenue was allocated to specific individuals.

While there may be other interpretations of what would happen under such circumstances, the point of interest is that at 100% taxation, the graph DOES NOT DIP DOWN. In fact, it would behave as intuition suggests, which is that of a linear graph originating at 0% until it reached 100%.

It has been argued that the reason the graph drops to 0%, is because there would be no incentive for people to work and so no income would be available to the government. However, this isn’t true, because of the need to survive, people would have the incentive to minimally cooperate with such a system to gain the necessities. Certainly personal motivation would suffer, and it wouldn’t represent a very robust or healthy way of producing goods and services, but it would function (it could be argued that this is a variation of the feudal state).

In fact, since the government would be determining the amount of money people got, there would be strong incentives for individuals to cooperate at varying levels to try and maximize what they might obtain. Once again, this closely parallels the type of behavior we saw in communist economies.

Bear in mind that my point is not to justify government taxation nor the rate at which it is levied, but rather to examine whether the Laffer Curve tells us anything useful about this phenomenon at all. At this point, we can see that it is highly suspect in terms of what it suggests.

The simple relationship between the tax rate and revenue is a linear one, which can be expressed as follows:

(Tax Rate Percentage) (Total Taxable Base $) = (Revenue $)

From this simple equation it is easy to see that if revenue is to remain constant in light of a reduction in the tax rate, then the tax base must grow to compensate for the difference.

This adds another layer of consideration around the assessment of the three major tax-cuts in recent history (1), but given the huge growth in the Gross National Product (GNP), it is plausible that the growth of industry during these periods would’ve increased revenues anyway. The reduction in taxes, would’ve helped by creating more disposable income which could have gone to increase demand and thereby drive production even higher.

It is also important to evaluate how much the federal deficit grew during each period of tax cuts, because with the government’s ability to borrow, the connection between the tax rate, and available revenue is misleading. Often the revenue shortfall was made up by borrowing. It can be clearly seen that whatever increase in federal revenue occurred, it didn’t halt the continued level of borrowing, so any supposed benefits from tax cuts is suspect. (see graph)




Whatever the reasons, the Laffer Curve did not provide us any insight into why this happened or why it should happen. So basically what we have is a graph that creates the illusion of being mathematical, despite having no equation from which it is derived. It is endlessly quoted as a means of peddling a political agenda, and in the end, has no ability to predict events at all.

So the only conclusion that we can come to, is that there is no economic “silver bullet” that is capable of raising revenue to the federal government without ultimately taking it from the taxpayers. Anything else is “snake oil” until someone comes up with a theory that actually has predictive capability.

(1) Harding – 1920’s; Kennedy – 1960’s; Reagan – 1980’s

Comments

Steve Davis's picture

From memory the lower taxes-raise revenue trick did actually work on one occasion, but that came from an economist so its value is debatable. And I think if it did work it would have been due to a fortuitous alignment of all the other economic factors, something that is not likely to be repeated.


But of course the big question is the use to which the raised revenue is put. 


Gerhard, you've taken on a project here! We're only two episodes in and already you've spotted mathematical illusions! Great stuff.



Gerhard Adam's picture

Thanks Steve.  Actually it's not that revenue can't increase, it's just that this model creates some very specific requirements for it to happen.

Suppose I reduced taxes, during a period of economic growth.  That might be enough to spurn additional spending, which could enhance the industrial growth that was already occurring.  If this resulted in more jobs, etc. then it is possible that I could get back up to the revenue I had before.  The reduction in taxes and the growth of the tax base would create the illusion that it was the tax cut that did it.  In truth, this wouldn't have been possible without the corresponding growth that was already under way, but it is situations like this that fuel the myth.

My main problem is that in virtually every situation of cutting taxes, the amount of deficit spending increases, which strongly suggests that revenues are not where they need to be.  There are so many other factors involved that are ignored (such as during the 1920's), the economic growth because of new development is a major factor in such ideas working.  Building new roads, bridges, etc. create economic opportunity where none existed before and so fuel the illusion that this singular act was responsible.


In truth, 50 years later we find those same roads and bridges, consuming revenue with no return because they have to be maintained.  The original economic growth they caused is now a distant memory, and the cost of maintenance is the legacy for the future.



Steve Davis's picture
I can't wait until you get to the theory that subsidy is evil. We'll have some fun with that one!

kerrjac's picture
I'm not too familiar with the Laffer curve, but from what you write it does sound like the sort of questionable concept that a politician can evoke to sound smart.

However, the intuition behind the curve is similar to that of other economic arguments, particularly the notion of finding an ideal price on a supply curve. A further difficulty in measuring it on the national level is the labyrinthine nature of taxes, be it for income or other goods. The effect of raising taxes will likely be easier to measure on the local level (http://www.cato-at-liberty.org/2009/05/18/revenge-of-the-laffer-curve/) and/or with regard to taxing specific goods (http://www.msnbc.msn.com/id/17170991/).

You're right that it's puzzling that taxing %100 produces 0 revenue. This signifies to me that the curve is meant to take into account a time-lag between collecting the tax and measuring the revenue. Nearing a %100 tax rate, revenues might increase in the short-run, but not in the long-run. Defining the short-run&long-run is likely tied to the tax rate, & the rate of increases, among other things.

But once again a similar sort of logic (albeit less extreme) is used in economic price models. It's the reason why companies can't raise prices indefinitely & assume that their sales figures will remain the same.

You're right that the graph is over-simplified & sloppy. Instead of invoking it, politicians should simply use the intuition that sudden raising of taxes to absurd levels would be as illogical as Dell deciding to charge a million dollars for a laptop.

As for the more nuanced effect of taxes on the economy, that's a whole field of economics in & of itself.

Add a comment

The content of this field is kept private and will not be shown publicly.
  • Allowed HTML tags: <sup> <sub> <a> <em> <strong> <center> <cite> <code> <TH><ul> <ol> <li> <dl> <dt> <dd> <img> <br> <p> <blockquote> <strike> <object> <param> <embed> <del> <pre> <b> <i> <table> <tbody> <div> <tr> <td> <h1> <h2> <h3> <h4> <h5> <h6> <hr> <iframe>
  • Lines and paragraphs break automatically.
  • Web page addresses and e-mail addresses turn into links automatically.
CAPTCHA
If you register, you will never be bothered to prove you are human again. And you get a real editor toolbar to use instead of this HTML thing that wards off spam bots.