Lots of folks are piling on Russ Roberts but I want to focus on one thing he says here
I recently interviewed Valerie Ramey on the multiplier. In her work, the multiplier ranges from .8 to 1.2. A multiplier of 1 means there is no stimulus from the spending–GDP rises by the amount of the increase in G but by no more. Private spending doesn’t grow. When you include the taxes (either today or in the future to pay back debt from the increase in spending) that finance the government spending, it’s particularly costly.
I think this is substantively wrong. A multiplier of zero means there is no stimulus.
It might be easier to dispense with the term stimulus to see why.
A multiplier of zero implies complete crowding out of the private sector by government. The government spends more and the private sector offsets this exactly by spending less.
A multiplier between zero and one means that there is some crowding out by the private sector. The government spends more, the private sector spends less but not enough to offset government spending.
A multiplier of 1 would suggest no crowding out. The government spends more and private spending is unaffected on net.
A multiplier above one would suggest crowding-in. The government spends more and this increases private as well as public spending.
So now suppose the multiplier was one and invariant to the level of spending. Then the government could choose whatever level of unemployment it wanted without reducing the production of private goods.
That would mean that for example the government could have lowered the unemployment rate from in 2009 by two or three percentage points had it chosen a large enough expenditure [Added: with no loss of private production. This is vastly strong claim than simply we could assist in easing the pain]
As for the total cost, it depends in large part on whether you place any value on those expenditures. So if we are buying roads and schools, you may not believe that are as useful as private construction spending might be, but are they 100% useless? If they are even only 50% useless then you have come out ahead.
How the borrowed funds affect the long run economy is complex and depends on what the monetary response is, in large part. However, note that the government does not ever have to pay the bonds back and in general does not even have to tax the population in order to service them.
That’s because when the recovery hits the interest rate on t-bills is less that than nominal growth rate.

So even rolling in the interest payments continually will result in a declining debt-to-GDP ratio. Eventually the debt will just shrink away.
A multiplier above one suggests that when the government spends more we get more government goods AND more private sector goods. There is crowding-in.
Here it makes sense to do spending even if the project you are spending on is worthless. This is digging ditches just to fill them back up again territory.
Now that having been said I think people worry too much about the multiplier.
I heard lots of people suggesting that we should do direct spending over tax cuts because the multiplier is bigger, but this is not the right way to think about it.
You have to consider the logistics of actually spending this money and the effect that its going to have on the economy.
If you have some project sitting on the shelf that you wanted to do anyway and it has lots of return then you should do that. Trying to assemble projects is going to be more difficult and the side-benefits are going to be less. Plus if the only reason you are doing this project is to lower unemployment then you have to consider the distorting effects it has on the economy.
One great thing about tax cuts is that they are really easy to implement and we don’t have to worry about trying to direct resources to some end.
People can direct resources to whatever end they want. We also get the benefit of being able to do a broad based stimulus that directly benefits lots of people at once.
People often think of tax cuts as being less progressive, but we could make them progressive by cutting taxes that poorer folks pay. So there is little reason to worry about that. Of course, if you don’t care about progressivity then you don’t even have to worry about this, you could cut upper marginal rates or something else.
There is much more to say here but this is really important
I hold my ideology for a wide range of reasons many of which are based on what I observe about the world and human behavior along with a set of beliefs about how the world would work if my ideology were more prominent in policy decisions. But I don’t pretend I’m against government spending because the multiplier is small.
Yes, but you can think the multiplier is small and still be a Keynesian. More importantly you can be against government spending and still be Keynesian.
What if you just hated the government? Say the government raped and killed your family and you still haven’t gotten over it. One could easily say, look I believe that sticky prices cause general disequilbrium and real effects from monetary shocks. I also recognize that when the central bank sets the interest rate on government debt that government borrowing is expansionary.
But, I’ll be damned if I want to hand over more power to the very people who destroyed everything I hold dear.
That’s thoroughly Keynesian and thoroughly anti-government.

21 comments
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Wednesday ~ October 12th, 2011 at 7:43 pm
Lord
They are in favor of small government the way Bush was. The irony is their pursuit of it leads to larger government, bailouts when they oppose regulation, government programs when they oppose the economy, debt when they oppose taxes, and wars when they oppose peace.
Wednesday ~ October 12th, 2011 at 8:01 pm
Wonks Anonymous
I’ve heard inconsistent stuff about whether 1 or 0 is the important dividing line for the multiplier. The economist hive mind needs to issue a collective statement.
Wednesday ~ October 12th, 2011 at 9:50 pm
cgb
Seems the last statement only holds if you believe thinking is the same as acting. I can believe budhism is right, but if I don’t practice or abide by its principles then I am not a budhist.
Wednesday ~ October 12th, 2011 at 10:42 pm
Bob Murphy
A really neat post, Karl, containing several good points. This one seemed a bit magical though:
So even rolling in the interest payments continually will result in a declining debt-to-GDP ratio. Eventually the debt will just shrink away.
In principle then, a government could eliminate all taxes and slash its budget, but still maintain a constant level of spending…that it never has to finance in any way? Every year the government buys some tanks, sends some checks to old people, flies Joe Biden around, etc. etc., and it takes $0 in taxes and doesn’t even use the printing press. It borrows 100% of its spending every year, and just keeps rolling over the maturing debt.
How does that play out? Does the government’s deficit finally get consumed entirely by interest on the existing debt, so that eventually the gov’t can’t buy any more tanks etc.? Or is there a steady state where the gov’t can keep buying tanks etc. forever, even with $0 in taxation?
This seems magical, like I said. What’s the catch? Higher interest rates than would otherwise be the case?
Thursday ~ October 13th, 2011 at 3:19 am
FT Alphaville » Further reading
[...] On multipliers, crowding out, and [...]
Thursday ~ October 13th, 2011 at 8:57 am
Anders
This post is very welcome. There is a ubiquitous ‘dyslexia’ amongst most commentators and the public, which conflates the ideal size of the government with the size of the budget deficit. It is imperative that these are picked apart. By far the most important thing is getting the overall fiscal stance right (in terms of how much net financial assets are being supplied to the private sector); the composition of the budget deficit between tax cuts or spending increases is of much lesser importance. Thank you for helping to split these apart!
Thursday ~ October 13th, 2011 at 10:08 am
Johnnie Linn
Last time I checked, the balanced budged multiplier was 1.0, regardless of the value of MPC, if there are sufficient unemployed resources to acccomodate the increase in G, and depreciation of new governmet capital is overlooked. If the increase in G is sustained, and goes solely for new government capital, government capital consumption will increase and eventually will eat up the effects of the increase in G, making a long-run balanced budget multiplier of 0.0. According to the proportion of G that goes to government consumption, the long run balanced budget multiplier rages between 0.0 and 1.0.
Thursday ~ October 13th, 2011 at 10:18 am
Johnnie Linn
By parallel reasoning, the private sector long run investment multiplier, when the resultant increase in capital consumption is figured in, has a value of 1.0.
[also, web page url corrected]
Thursday ~ October 13th, 2011 at 10:37 am
Lazy this morning.
I’m too lazy to think through this right now so I’ll ask.
How is government spending different from private spending? Should we expect the same multiplier if Apple spends 1b$ as if the U.S. government spends 1b$?
Thursday ~ October 13th, 2011 at 11:56 am
Blake
Thursday ~ October 13th, 2011 at 12:02 pm
Blake
…yeah, just switch my backwards formatting with your brain.
Thursday ~ October 13th, 2011 at 2:47 pm
Lazy this morning.
I’m not sure if your note was a reply to me. Whatever the expenditure is though — bridges and tunnels, holes, mountains of paperwork — I am curious whether the multiplier logic applies equally well if it is produced by a private enterprise as when produced by the government. I think it does, but I could well be wrong.
Thursday ~ October 13th, 2011 at 3:38 pm
Johnnie Linn
Lazy:
They are pretty much the same. In case of government investment, the balancing force is an increase in taxes–a form of saving. In the case of corporate investment, the balancing force is either an issue of new stock, which is saving to the purchasers, an issue of new bonds, which is saving to the purchasers, or an increase in retained earnings–a form of saving.
Friday ~ October 14th, 2011 at 10:20 am
Lord
Not necessarily. A bridge may reduce transportation costs, reducing private sector spending but may not yield increased spending in other sectors due to deleveraging. Deleveraging is not good for the economy in the near term but may be necessary to move forward. It takes time for investments to produce returns.
Thursday ~ October 13th, 2011 at 2:03 pm
A Multiplier of One: Mission Accomplished? « Curious Task
[...] Karl Smith very clearly explains what stimulative multipliers really mean: A multiplier of zero implies complete crowding out of the private sector by government. The government spends more and the private sector offsets this exactly by spending less. [...]
Thursday ~ October 13th, 2011 at 11:55 pm
Dave Thomas
So why didn’t FDR’s massive spending end the Great Depression if your argument is valid? If I’m not mistaken the New Deal never even reduced unemployment under double-digits much less end it.
How can you take yourself seriously in the face of such irrefutable historic evidence?
Friday ~ October 14th, 2011 at 10:23 am
Lord
The irrefutable historic evidence is there wasn’t much spending. How can anyone take you seriously?
Friday ~ October 14th, 2011 at 7:15 pm
Benny Lava
that is really an article of faith, isn’t it? By 1936 unemployment was about 9% which caused the government to cut back on the new deal (recession in a depression). Some people don’t believe this story though. Faith and all.
Friday ~ October 14th, 2011 at 4:59 pm
MG
I don’t see how one can argue that crowding out is happening now, today, as we type this out. Corporations are sitting on trillions of dollars of cash; the government is running a deficit. One entity spends what it gets and then some; the other hoards it. On a simplistic level, as well as the more sophisticated one, you know, the one where you actually look at evidence and make reasoned arguments, the onus should be on on the anti-Keynesians to prove crowding out happens. But it isn’t.
Monday ~ October 17th, 2011 at 8:37 am
Tel
Can this “multiplier” even be reduced to a single number? There’s a time constant involved.
Think about throwing a stone into a pond, so at the instant that the stone hits, the pond is completely flat, and the stone doesn’t change anything. Then some time later the ripples spread away from the stone and eventually bounce back to the middle again.
Sure on day 1 you might get a multiplier of 1, because no one has had time to react yet, but then the ripples of your spending spread out and people do react, but what is your “multiplier” based on? After 1 year? Or 10 years? It’s an ill defined measurement.
Many Keynesians would argue there’s a natural boom coming along in probably less than 10 years, so if the “multiplier” is healthy in maybe 4 or 5 years, don’t worry about where the ripples go after that. Other would argue that anything to get Obama through toe 2012 election must be OK.
Others of us think long term, do we really want a generation of people where the most sought-after skills are economic brinkmanship and the ability to strike fear of collapse into the population until they hand over more bailout money?
Tuesday ~ October 18th, 2011 at 4:16 pm
Gene Callahan
When you multiply something by zero, you get zero, so a multiplier of zero would mean that government spending is essentially impossible!