College Of Business and Economics

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The Real Business

Cycle School

Intermediate Macroeconomics

ECON-305 Spring 2013

Professor Dalton

Boise State University

RBC Macroeconomics

Evolved out of New Classical economics of 1970s

Major proponents

Edward Prescott (Minnesota)

Finn Kydland (Carnegie-Mellon)

Charles Plosser (Rochester)

Robert Barro (Harvard)

From New Classical to RBC

The late 1970s and early 1980s was a time of New Classical Dominance

By the early 1980s, however, significant doubts had arisen

“signal-extraction” problem not robust enough to explain business cycles

Evidence supportive of monetary neutrality of announced policy weak

Tobin suggests a “way out” that he does not himself take seriously – random real shocks

From New Classical to RBC

Kydland and Prescott take seriously this alternative and develop the foundations of Real Business Cycle Theory – a theory that accounts for cycles wholly by changes in real supply variables.

Kydland and Prescott, “Time to Build and

Aggregate Fluctuations,” Econometrica

(November 1982)

Originally viewed as augmenting the New

Classical approach

Central Proposition

Large random fluctuations in technology produce supply-side shocks to the production function, generating fluctuations in aggregate output and employment as rational individuals respond to the altered structure of relative prices by changing labor

(resource) supply and consumption

(investment) decisions.

RBC Macroeconomics

Assault on all previous 20

th

century macroeconomics

Booms are not “good” and recessions are not “bad”

Recessions are not desired by agents in the economy but they are nonetheless unavoidable consequences of changes in constraints agents face

RBC Macroeconomics

Assault on all previous 20

th

century macroeconomics

Agents react optimally to changes in constraints and the resulting aggregate fluctuations are efficient

Supply, not demand shocks, are key to understanding economic fluctuations

RBC v. New Classical

RBC replaces the impulse mechanism of

New Classical economics

“Technology shocks” instead of “monetary surprise”

RBC retains the propagation mechanisms of New Classical economics

Rational expectations and relative prices

New Classical Economics “Mark II”

Reactions of Leading New

Classicalists

Lucas

Exclusion of money in RBC a mistake

Viewed as addition to NC models

Later says “monetary shocks just aren’t that important”

Approves of methodology

 micro-based models and use of fully-articulated artificial economies to compare real with experimental economics

Business cycles are “minor problem” – shifts focus to Growth economics

Reactions of Leading New

Classicalists

Barro

RBC promising

Monetary neutrality of New Classical models a “mistake”

Shifted focus to Growth economics

Defends New Classical Achievements

Equilibrium modeling

Rational expectations

Dynamic policy-making and evaluation

Growth and Cycles

Development of RBC and shift of research to Growth represent revival of interest in “supply-side” macroeconomics

Continuation of pre-Keynesian lines of business cycle research

New technology influences both longrun growth as well as producing shortrun displacements (disequilibrium?)

RBC Antecedents

Dennis Robertson emphasized real forces

Joseph Schumpeter

“Theory of Capitalist Development”

Knut Wicksell

Changes in marginal productivity of capital

(impulse mechanism) cause divergence of

“natural rate of interest” from “bank loan rate” leading to endogenous monetary creation

(propagation mechanism), distorting time structure of production and leading to selfreversing boom

Growth and Cycles

For Real Business Cycle

Macroeconomics, growth and cycles are inseparably interrelated

History and RBC

Supply shocks of 1970s

Two OPEC oil increases

Apparent failure of Demand-side Keynesian model

Political emphasis of “new supply-side economics” of Reagan Administration

Tax cuts and deregulation

Renewed interest in statistical properties of economic time-series

Seminal work of Nelson and Plosser

Cycles and Random Walks

Conventional Approach

Imagines economy evolving along a growth path reflecting underlying trend

Fluctuations about trend due to demand shocks

Shocks “die out” over time, so economic time-series are “trend-reverting”

Y t

= g t (Y

0

) + b (Y – Y T ) t-1

+ z t

Y

Cycles and Random Walks

Y t

= g t (Y

0

) + b (Y – Y T ) t-1

+ z t

At time t1, a shock of size z occurs, but it dies out over time and the growth path reverts to the trend time

Conventional approach consistent with the natural rate hypothesis

(unanticipated changes in monetary growth produce temporary deviations from

Y

N

)

Cycles and Random Walks

Nelson and Plosser, “Trends and

Random Walks in Macroeconomic

Time Series: Some Evidence and

Implications,” Journal of Monetary

Economics (September 1982)

Most changes in GDP are permanent , with no tendency for Y to revert to former trend

GDP follows a random walk process with drift

Cycles and Random Walks

Nelson-Plosser Approach

Value in one period still dependent on previous value of the variable, but shocks (z) change output permanently

Rather than g being underlying growth rate, g is “rate of drift;” b has value of 1

– “unit root” hypothesis

Y t

= g t (Y

0

) + (Y – Y T ) t-1

+ z t

Y

Cycles and Random Walks

Y t

= g t (Y

0

) + (Y – Y T ) t-1

+ z t

At time t1, a shock of size z occurs and it permanently changes the growth path of the economy time

Implications of Nelson-Plosser

Observed fluctuations are fluctuations in the trend , not deviations from a trend.

In NC world, permanent changes in GNP growth cannot occur from monetary shocks since money is neutral; therefore main forces causing instability must be real shocks.

If shocks to productivity growth are frequent and random , path of Y follows a random walk that resembles the business cycle.

No distinction between trend and cycle, so theory of growth and fluctuations must be integrated .

Productivity Shocks

Unfavorable changes in the physical environment that adversely affect agricultural output

Significant changes in price of energy

War, political upheaval and labor unrest

Government regulations

Changes in the quality and quantity of capital and labor; new management techniques; new products; new production techniques =>Technological change

RBC Models: Common Features

(1) Representative agent models; agents maximize s.t. constraints

(2) Agents form Ratex; signal-extraction problem re permanent v. temporary productivity shocks

(3) Continuous market-clearing

(4) Exogenous productivity shocks are impulse mechanism for output and employment fluctuations

RBC Models: Common Features

(5) Propagation mechanisms vary, include consumption smoothing,

“time-to-build,” and intertemporal labor substitution

(6) Fluctuations in employment voluntary; labor and leisure highly substitutable over time

(7) Money is neutral

(8) No distinction between SR and LR

Changes from New Classicalism

Impulse factor – productivity shocks replace monetary shocks

Abandon price level/relative price misperception emphasis

Abandon long run/short run distinction

RBC: Model Structure

Production Function

Y t

= A t

F(K t

, L t

)

Technology Evolution Parameter

A t+1

= þA t

+ є t+1

0 < þ < 1

Representative Agent Utility Function

U t

= f(C t

, Le t

)

Resource Constraints

C t

+ I t

≤ Y t

; L t

+ Le t

≤ 1

Capital Stock Accumulation Equation

K t+1

= (1-∂) K t

+ I t

Technology Shocks and

Employment

Technology shocks change A, shifting the production function upward; the demand for labor curve will also shift upward.

Increased labor demand will increase the real wage and employment.

How much? Depends on supply elasticity!

If labor supply is inelastic?

If labor supply is elastic?

Technology Shocks and

Employment

Stylized facts of Business Cycles indicate small procyclical variations in real wage are associated with large procyclical variations in employment

Is labor supply highly elastic or inelastic with respect to real wage?

What does that indicate about the intertemporal substitution of labor for leisure?

RBC and Lucas-Rapping ASH

Lucas-Rapping: in making laborsupply decisions, workers consider future and current C and Le

Substitution and income effects of changed real wage

Temporary v. permanent changes in real wages

RBC and Lucas-Rapping ASH

RBC

 temporary technology shocks will lead to temporary changes in real wages; no income effect and large supply response

Permanent technology shocks will lead to permanent changes in real wages; large income effect and small supply response

Labor Supply and Interest Rates

Change in the real interest rate affects labor supply by altering relative price of income earned today v. future

L s

= L s

(W/P, r)

Intertemporal price-ratio

(1+r) (W/P t

)

(W/P t+1

)

Increase in r increases labor supply; reduction in r reduces labor supply

r

RBC AD and AS

RAS

LM/P

IS (RAD)

Y

An IS-LM model conforming to Ratex, Continuous Market

Clearing, and Fullinformation M s

Output and employment due to real forces; RAS determined by production function and labor supply

Tech improvement shifts RAS to right and LM/P adjusts so full employment exists

Problem with model: Labor supply not dependent on r

r r e

Y e

RBC AD and AS

RAS

RAD

If labor supply is dependent on r, an increase in r increases labor supply and increases output

The RAS curve is positively sloped

Y

Characteristics of Model

Model entirely real (M and P have no impact on Y or L)

No LR-SR distinction

RAS traces out labor market equilibria r equilibrates goods market

Shifts in RAS lead to variations in Y and L

Temporary variations in RAD can cause Y and L variations

Y w w

2 w

1 a

Technology Shock: RAD-RAS

a b

L

1

L

2

Y* b

S

L2

(r2)

S

L1

(r1)

D

L1

Y

D

L2

L

Y r r

1 r

2 a a

RAS

1

RAS

2

Y

1

Y

2 b b

Y = Y

RAD

Y

Y

Begin in equilibrium.

Labor market clears at real wage w production function Y.

At current r

1

1 for given

, RAS and

RAD clear at Y

1

.

Favorable productivity shock increases A and production function increases to Y*.

RAS increases, driving down the interest rate.

The lower interest rate lowers the supply of labor and favorable productivity shock increases labor demand.

Labor market equilibrium moves to b, employment increases and output increases at the lower interest rate.

Y w

1 w

2 w a a

Expenditure Shock: RAD-RAS

b

L

1

L

2 b

D

L1

Y

S

L1

(r1)

S

L2

(r2)

L

Y r r

2 r

1 a a b b

RAS

Y

1

Y

2

Y = Y

Y

RAD

2

RAD

1

Y

Begin in equilibrium.

Labor market clears at real wage w production function Y.

At current r

1

1 for given

, RAS and

RAD clear at Y

1

.

Increase in government purchases shifts RAD to the right, increasing the real interest rate.

The higher interest rate increases the supply of labor and reduces the real wage rate.

Labor market equilibrium moves to b, employment increases and output increases at the higher interest rate.

Temporary v. Permanent Shocks

In the previous model, wealth effects were ignored.

If shocks are permanent, wealth effects can’t be ignored. When permanent shocks occur, induced changes in the real wage also will led to additional changes in RAD.

A change in technology will cause RAS and RAD to move in the same direction.

A positive technology shock that raises RAS raises the real wage, increases real income and increases RAD.

A change in expenditures will moderate the change in RAD.

An increase in government purchases that reduces the real wage reduces real income and decreases RAD.

r r e r

2

Temporary v. Permanent Shocks

Y e

Y

2

RAS

RAS

2

RAD

RAD

2

A positive technology shock increases RAS to RAS2.

If the shock is temporary, the wealth effect is small and

RAD increases by a small amount.

The real interest rate falls as higher output is achieved.

This does not change the prediction of the model which ignores wealth effects.

Y

r r e

Temporary v. Permanent Shocks

Y e

Y

2

RAS

RAS

2

RAD

RAD

2

Y

A positive technology shock increases RAS to RAS2.

If the shock is permanent, the wealth effect on expenditures will be large and increase RAD by roughly the same amount as the increase in Y.

Out put increases but the interest rate remains approximately the same.

This prediction of the model is different than that which ignores wealth effects.

“Testing” RBC Models

Kydland and Prescott were first to show that

RBC models could generate time-series data that possessed statistical properties similar to actual US business fluctuations.

RBC theorists generally have not attempted to provide models capable of econometric testing.

Instead, RBC theorists have developed the method of calibration to test their models.

Calibration Method

(1) Construct RBC equilibrium model

(2) Provide specific functional forms

(3) Calibrate the model

- simulate random shocks with computer generated random numbers

(4) Trace out key macroeconomic variables from exercise and compare with actual time-series

Calibration Method

Such exercises are able to mimic the actual economy with respect to important time-series data and replicate the stylized facts of business fluctuations

Problem: How to choose between competing models? No criteria equivalent to significance testing in econometrics to answer such a question.

RBC and Money

Accepted stylized fact: Positive correlation between money and output.

Generally accepted (Friedman and Schwartz) by Keynesians, Monetarists and New

Classicalists that changes in monetary growth cause changes in real output growth.

In RBC models, money is “super” neutral.

How do RBC models account for the accepted stylized fact?

RBC and Money

Caveat: Positive correlation between money and output may indicate that money responds to output.

But then why does it look like monetary growth comes before output growth?

Expectations of future output growth may lead to increases in money demand that increase the quantity of money supplied.

Bank money (demand deposits) is endogenous; bank money can be produced faster than real output.

Money supply changes before output but output changes cause money supply changes.

RBC and Money

RBC theorists divided into two camps

Kydland and Prescott, “Business Cycles:

Real Facts and the Monetary Myth,” FRB

Minneapolis Quarterly Review (Spring

1990)

Denial of stylized fact that money leads the cycle

Plosser, “Understanding Real Business

Cycles,” Journal of Economic Perspectives

(Summer 1989)

Role of money remains an “open question”

Measuring Technology Shocks

How does one measure technological progress?

“Solow residual”

That part of ∆Y that can’t be explained by

∆K or ∆L

Y = A F (K, L)

Y = A K β L 1β where 0 <

β

< 1

∆Y/Y = ∆A/A +

β

∆K/K + (1-

β

) ∆L/L

∆A/A = ∆Y/Y – [

β

∆K/K + (1-

β

) ∆L/L]

Measuring Technology Shocks

Prescott (“Theory Ahead of Business

Cycle Measurement”) suggested

(∆A/A) is a random walk with drift plus serially uncorrelated error

Plosser (“Understanding Real Business

Cycles”) uses (∆A/A) and (∆Y/Y) to show that aggregate fluctuations in Y are mainly due to fluctuations in technology

Measuring Technology Shocks

The Stylized Facts

RBC literature led to a renewed effort to discover and measure the stylized facts of business fluctuations

Forced a re-evaluation of existing theories in light of the new data

Central controversies over

Real wages

Price level

Real Wages and Business

Cycles

Are real wages pro-cyclical or counter-cyclical?

Orthodox Keynesianism and Orthodox Monetarism

Real wages are counter-cyclical

Changes in AD with sticky or lagging wages (due to adaptive expectations)

RBC

Real wages are strongly pro-cyclical

Changes in technology shift production function and change the demand for labor

Empirics

Real wages are slightly pro-cyclical

Problem: procyclical wages require elastic labor supply to produce observed variations in employment and output, but micro data does not support notion of elastic labor supply

Price Level and Business

Cycles

Is the price level pro-cyclical or counter-cyclical?

Orthodox Keynesianism, Monetarism, New Classical

Price level and inflation are pro-cyclical

RBC

Evidence from entire 1954-89 period is that price level and inflation are counter-cyclical

Empirics and Impulse Mechanisms

Impulse determines behavior of price level and inflation

Supply-side changes lead to counter-cyclical prices

Demand-side changes lead to pro-cyclical prices

Policy Implications

(1) More robust case against activism

“Costly efforts at stabilization are likely to be counter-productive. Economic fluctuations are optimal responses to uncertainty in the rate of technological progress.”

- Prescott, “Theory Ahead of Business Cycle Measurement”

(2) Fiscal policy is more potent than monetary policy but should still be avoided.

RBC and AD Management

Aggregate demand management has been successful in reducing the volatility of business fluctuations from demand-side disturbances compared to earlier periods; technological disturbances have emerged as a dominant source of modern business fluctuations as a consequence.

- Chatterjee, “Real Business Cycles: A Legacy of Countercyclical Policies”

Criticisms of RBC Theory

(1) Evidence concerning labor supply elasticity weak

(2) Technology shocks are directly unobservable

Doubts concerning size and frequency to produce large variations in Y and L

Doubts that technological regression occurs to produce recessions

(3) Pro-cyclical Solow residual due to other reasons

Pro-cyclical utilization rates of labor and capital

Criticisms of RBC Theory

(4) Is large unemployment really voluntary?

 pro-cyclical movement of vacancy rates and voluntary quits

(5) Is money neutral in the short-run?

American and British dis-inflations of the

1980s

(6) Persistence (Unit-root hypothesis or lack of trend-reversion)

AD changes can produce permanent effects if it induces technological change

Hysteresis effects

Criticisms of RBC Theory

(7) No micro-economic foundation for technological change and innovation

Plausible models of demand conditions, R&D expenditures and “learning by doing” effects

(8) Representative agent models sidestep rather than address aggregation and coordination problems

(9) Lack of robust empirical testing

RBC: An Assessment

RBC refocused attention on what we actually know or don’t know about business fluctuations

Output does not appear to be trend-reverting, but rather follows a random walk with drift

Re-integration of growth theory and theory of fluctuations

Furthered cause of building macro-models with micro-foundations

Renewal of interest concerning role of supply-side in macroeconomics

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