August 09, 2021
Business cycle: the notion that the actual growth rate of an economy fluctuates around its long term growth trend the movement.
The business cycle has 4 phases: expansion, peak, contraction, and trough.
Business cycles, particutlarly the contraction and the trough, have significant conesequences.
For example, unemployment tends to spike during recessions.
To understand why business cycles happen, and what can be done to prevent/mitigate them, we will examine two models:
The New Keynesian model is built on top of the RBC model.
These models are built in the aggregate demand - aggregate supply (AD-AS) framework.
The difference between the two models is that the New Keynesian model includes all three curves but the RBC model does not include SRAS.
The AD-AS framework can be expressed as either be a static model or a dynamic model.
A static model looks at the economy at one point in time.
A dynamic model looks at how the economy is changing over time.
These notes discuss the dynamic version of AD-AS.
Either way, the graphs look roughly the same!
The Long Run Aggregate Supply (LRAS) curve represents an economy’s maximum growth rate.
Key assumption: if supply or demand shifts in a microeconomic market, the price in that market will adjust immediately.
Inflation, \(\dot{P}\), is on the y-axis.
Real growth, \(\dot{Y}\), is on the x-axis.
The Long Run Aggregate Supply curve is perfectly vertical. Why?
Productivity Shocks cause LRAS to shift
Aggregate Demand shows the relationship between spending, inflation, and growth.
We’ve already seen an equation that looks at this relationship: the quantity theory of money.
\(\dot{M}+\dot{V}=\dot{P}+\dot{Y}\), where
The left side of the quantity theory equation, \(\dot{M}+\dot{V}\), says that spending increases come from:
If spending has increased, the right side of the equation tells us what that extra spending is going toward. The two candidates are:
The quantity theory equation, then, can be thought of as saying:
\(Change\:in\:Spending =\dot{P}+\dot{Y}\)
The Aggregate Demand curve traces out the different combinations of \(\dot{P}\) and \(\dot{Y}\) that correspond to a given change in spending.
The table on the right shows some of the possible combinations of \(\dot{P}\) and \(\dot{Y}\) that correspond to \(\dot{M}+\dot{V}=5\%\)
| \(\dot{M}+\dot{V}\) | \(\dot{P}\) | \(\dot{Y}\) |
|---|---|---|
| 5 | 0 | 5 |
| 5 | 1 | 4 |
| 5 | 2 | 3 |
| 5 | 3 | 2 |
| 5 | 4 | 1 |
| 5 | 5 | 0 |
As with the LRAS graph:
Inflation, \(\dot{P}\), is on the y-axis.
Real growth, \(\dot{Y}\), is on the x-axis.
The aggregate demand curve is downward sloping with a slope of -1.
As shown in the graph to the right, increases in either \(\dot{M}\) or \(\dot{V}\) shift the AD curve to the right.
By the same logic, decreases in either \(\dot{M}\) or \(\dot{V}\) shift the AD curve to the left.
The New Classical, or Real Business Cycle (RBC) model, includes the two curves introduced above.
The RBC model is in equilibrium where the two curves intersect.
If spending growth is \(\dot{M}+\dot{V}=5\%\) and the LRAS gives \(\dot{Y} = 3\%\), then inflation must be \(\dot{P} = 2\%\)
The goal of the AS-AD model is to explain fluctuations in the economy, or why \(\dot{Y}\) moves around.
This means looking at what might cause the equilibrium in our RBC model to move, particularly to the left or the right.
What are the effects of shifting the LRAS and/or AD curve on the macroeconomic equilibrium?
Suppose a positive productivity shocks shifts the LRAS to the right, and the new growth potential is 4%.
The equilibrium moves from point A to point B
A decline in productivity, on the other hand, shifts LRAS to the left.
The graph on the right shows a shift to LRAS = 2%.
The equilibrium moves from point A to point B
An increase in spending shifts the AD curve to the right.
Assume spending increases from \(\dot{M}+\dot{V}=5\%\) to \(\dot{M}+\dot{V}=7\%\)
As the economy moves from point A to point B, \(\dot{P}\) increases but \(\dot{Y}\) remains unchanged.
Similarly, a decrease in AD would reduce inflation, but would not affect growth.
The only causes of the business cycle in the RBC model are productivity shocks.
If the RBC model is correct, then most of what the government does to stave off recessions–fiscal policy to increase \(\dot{V}\) and monetary policy to increase \(\dot{M}\)–has no hope of working.
The New Keynesian Model is sometimes referred to as the “Neoclassical Synthesis.”
the term “Keynesian” refers to John Maynard Keynes (1883-1946) and, in particular, his ideas in “The General Theory of Employment, Interest, and Money” from 1936.
Keynes was trying to explain the Great Depression
Key idea: if prices do not adjust quickly in he short run, changes to Aggregate Demand can cause recessions.
Most economists believe prices do not adjust quickly in the short run.
This phenomenon is known as price rigidity or price stickiness.
Both sticky wages and sticky prices can generate situations in which unexpected inflation encourages economic growth.
There are a wide variety of reasons why price may be sticky.
Wages are likely to be particularly sticky, because many labor contracts are for 1+ years
This implies that when inflation is higher or lower than expected, companies might expect to see their the prices they sell their outputs at change quicker than the prices they pay for their inputs.
The two diagrams show the effect of unanticipated inflation/disinflation with sticky wages.
Unanticipated:
This implies that the Short Run Aggregate Supply (SRAS) curve will be upward sloping!
Keynes argued that prices (especially wages) should be far more sticky downward than upward.
Thus,if there is unanticipated disinflation, workers won’t accept pay cuts, so you are more likely to see layoffs.
Consider this tweet from journalist Matt Zoller Seitz shortly after layoffs at Vulture Magazine.
Why don’t companies just cut pay across the board? Benefits may be part of the story, but also:
Conversely, the SRAS curve must eventually go vertical.
Ultimately, there is a limit to how fast an economy can grow; no amount of inflation can turn growth infinite!
The SRAS is drawn for a specific rate of expected inflation. Here, \(\pi^{e}=2\%\).
The New Keynesian model is in long run equilibrium if there is a point where LRAS=SRAS=AD.
This requires actual inflation, \(\dot{P}\) or \(\pi\), to equal expected inflation \(\pi^{e}\)
The SRAS curve shifts when \(\pi^{e}\) changes.
For now, ignore AD and assume the economy is at point A.
If \(\pi^{e}=2\) but \(\pi=4\), unanticipated inflation leads to increased profits, firms expand their production, and the economy moves to B.
The economy cannot stay at B indefinitely, as expectations will adjust to match actual inflation
SRAS shifts up to SRAS2, and the economy moves to point C.
New Classical/Real Business Cycles model implied that AD shocks have no effect on growth.
This is not the case in the New Keynesian model.
Assume the economy starts at point A and spending growth rises to \(\dot{M}+\dot{V}=7\%\).
In the short run, the economy moves to point B. Inflation and growth increase.
The economy can’t stay at B, \(\pi^{e}<\pi\). Inflation expectations adjust upward, and SRAS shifts up.
The economy eventually adjusts to point C, growth slows back down and inflation rises.
What might cause a change in spending?
Changes in \(\dot{M}\) are typically the result of monetary policy.
Changes to \(\dot{V}\) are likely more varied
It is useful to think about changes in \(\dot{V}\) via changes to the 4 components of GDP:
In other words, spending might fall because of a drop in private consumption, private investment, government purchases, or a change in the balance of trade.
The New Keynesian Model suggests that positive AD shocks only generate short run boosts to growth.
It also suggests that negative AD shocks will only have temporary reductions in growth.
This is a key difference between New Keynesian and traditional Keynesian theory – traditional Keynesian theory argued a slow growth economy can get “stuck” there.
Assume the economy starts at point A and spending growth falls to \(\dot{M}+\dot{V}=3\%\) due to a drop in consumption.
In the short run, the economy moves to point B. Inflation and growth decrease.
The economy can’t stay at B. Inflation expectations could adjust downward, but remember: sticky prices.
In this case it is likely for consumption to simply return to its original level and the AD curve to shift back.
The idea of a self-correction is a mainstream economic idea.
Note the graph on the left’s prediction of the post-Great Recession economy - Obama’s economists predicted the economy would recover on its own eventually.
If a recession will fix itself, what is the point of macroeconomic policy?
Typically, the goal is to speed up the recovery.
The key insight of the New Keynesian Model:
What causes these changes?
Factors that might increase the AD:
Factors that might decrease the AD:
Does the New Keynesian Model help us understand the Great Depression?
The Great Depression(1929-1940) was the worst economic period in the US
The Great Depression was made worse by government policies.
The Great Depression began with the stock market crash in October 1929
These two combine to shift the AD left
These events causes consumers to lose confidence in banks and withdraw their money.
Between 1929 and 1933, roughly half of all US banks went bankrupt.
This led to fewer loans, and private investment fell.
Fewer loans, via the money multiplier, reduced the money supply even further.
Most of these issues could have been fixed/lessened by simply increasing the money supply.
Contrast these behaviors with those of the Great Recession (2009-2011).
Like the Great Depression, the Great Recession was brought on by a wealth shock
Unlike during the Great Depression, the Federal Reserve pumped tons of liquidity into the financial sector to try to prevent another depression.
In addition to AD shocks, productivity shocks may have shifted the LRAS to the left.
Governments have two major policy tools at their disposal for responding to recessions.
The general goal is to try to speed up the recovery of Aggregate Demand after it shifts to the left.
In either case, the goal is to shift the AD curve back to the right.
Assume the economy starts at point A and spending growth falls to \(\dot{M}+\dot{V}=3\%\) due to a drop in consumption (i.e. \(\dot{C}\) falls, therefore \(\dot{V}\) falls).
The economy moves toward point B. Inflation and growth decrease.
Rather than waiting for \(\dot{C}\) to recover, the government might simply spend more, increasing \(\dot{G}\).
If done quickly enough, the economy may not even get all the way to point B!
If the government is going to spend more money, where does that money come from?
Both of these, however, reduce AD further.
This implies that fiscal policy only works if the economy is in a recession.
Government spending turns into private sector income.
This private sector income turns into private consumption and investment and gives rise to the:
Keynesian Multiplier: If the economy is operating below full employment, an increase in government spending will generate increases in private spending.
The practical effect of the Keynesian Multiplier is that government spending does not need to fully offset any private drops in AD.
Fiscal policy holds the potential to smooth out economic fluctuations.
There are, however, a number of reasons why it may not be effective.
Crowding Out: Increases in government spending reduce spending in other parts of the economy.
Fiscal stimulus implies either more government spending or reduced taxes.
Either way, the government needs to get more money, either via:
Both can generate crowding out.
Why does raising taxes to finance fiscal policy generate crowding out?
Crowding out is only avoided if taxpayers wouldn’t have spent their money.
Borrowing money to finance fiscal policy crowds out private spending as well.
Crowding out is only avoided if there is little saving/borrowing activity in the private sector.
To see why, let’s look at the Market for Loanable Funds.
Does crowding out apply if the government cuts taxes instead of increases government spending?
Yes!
If the government cuts taxes, they increase the budget deficit.
To close that deficit, they need to borrow money, which again leads to rising interest rates and crowding out.
The logic of tax cuts stimulating the economy is twofold:
The income effect is only likely to happen if tax cuts are permanent
In 2008, Bush distributed $80 billion in tax rebates, a flat amount of $300 per person.
Similar to the Bush rebates from 2008, the Covid stimulus was a one-time flat amount per recipient ($1200) and consequently had minimal income and incentive effects.
Early estimates of the stimulus impact found that only 42% of the stimulus was spent, while 27% was saved and 31% paid off debts.
If governments cut taxes and borrow money to finance their budget deficit, what should a rational taxpayer do?
Ricardian Equivalence: Rational taxpayers should realize that a budget deficit now is effectively a promise to raise taxes later. If the government cuts taxes now, taxpayers might be better off saving because their tax bills will eventually go up.
The Ricardian Equivalence is an extreme version of crowding out.
Could the government simply print the money it needs? This is the suggestion of Modern Monetary Theory (MMT) economists.
This is perhaps possible for very small amounts of money, maybe a couple percent of GDP.
Beyond that you get inflation or hyperinflation, and crowding out occurs because the purchasing power of money in private hands declines.
The MMT response is to simply combat inflation with taxes, but taxes will be contractionary.
If the economy is self-correcting, poorly timed policy will have limited effect, or even a negative effect.
If the government has poor timing, then the government’s ability to fix problems is undermined.
There are many relevant lags here that can impact policy timing by years!
Inside Lag is the time it takes for the government (or central bank) to respond to an economic shock. Inside lag includes:
Outside Lag is the time it takes for the implemented policy to actually have an effect.
Monetary policy generally has shorter inside lags than fiscal policy.
Examples:
Some policies designed to explicitly not have lags.
Automatic Stabilizers are policies that automatically kick in during a recession to stimulate AD without requiring congressional/presidential action.
Examples:
Good economic policy is not necessarily popular politically, and politically appetizing policies are often bad economics.
Partisan politics plays a big role in choosing policy
Ideally, fiscal policy will:
In actuality, governments:
The result is ever-rising debt
WIth higher debt, a larger share of a governments budget goes toward paying interest.
Countries with high debt have significant risk of default, capital flight, depression, recession, social unrest, etc
Recent and notable examples:
The discussion thus far has implicitly assumed that if the economy is in a recession, it is due to an AD shock.
Not all recessions are AD shocks, some are LRAS shocks.
Stimulating AD in response to an AD shock does little more than drive up inflation.
What are the implications of these potential limitations of fiscal policy?
To be effective, fiscal policy should: