adapted from time and money: the macroeconomics of capital structure by roger w. garrison london:...

Adapted from Time and Money: The Macroeconomics of Capital Structureby Roger W. GarrisonLondon: Routledge, 2001 July 26, 2013

An Application of Capital-Based Macroeconomics

Keynes and Hayek: Head to Head


John Maynard Keynes1883 — 1946

Friedrich A. Hayek1899 — 1992

Keynes’s vision of the economy suggests a circular-flow framework—in which earning and spending are brought into balance by changes in the level of employment.

Hayek’s vision of the economy suggests a means-ends framework—in which the means of production are transformed over time into consumable output.

Visions and Frameworks

Graphically, the circular flow appears as the Keynesian cross, the cross’s intersection identifying the particular state of the economy in which income and expenditures are in balance.

Graphically, the means and ends appear as the Hayekian triangle, the triangle’s shape depicting the intertemporal pattern of investment. In equilibrium, the pattern of investment corresponds to the intertemporal preferences of consumers.

A BRIEF REVIEWof the

KEYNESIANCIRCULAR-FLOW

FRAMEWORK

THECIRCULAR-FLOW

FRAMEWORK

BUSINESSORGANIZATIONS

WORKERS

CONSUMERS

INVESTORS

INCOME

LABOR AND OTHERFACTOR SERVICES


LABOR AND OTHERFACTOR SERVICES

INCOME

GOODS ANDSERVICES

EXPENDITURESconsumption

plus Investment

WORKERS

CONSUMERS

INVESTORS


INCOME

SLOW 6 %

FAST 2 %


plus Investment

WORKERS

CONSUMERS

INVESTORS


STAGES OF PRODUCTION

CO

NS

UM

PT

ION

WORKERS

CONSUMERS

INVESTORS


plus Investment

INCOME


In Keynesian equilibrium,INCOME equals EXPENDITURES.

Y = E

For a wholly private economy:

Y = C + I

WORKERS

CONSUMERS

INVESTORS

INCOME


plus Investment

The economy is in a Keynesian equilibrium somewhere along the 45o line—the line itself identifying all possible income-expenditure equilibrium points.

As taught at all levels, the consumption function is an essential component of the Keynesian framework. The presumed stability of this function underlies Keynesian thinking.

EX

PE

ND

ITU

RE

S

INCOME

CONSUMPTION

INVESTMENT

INCOME

C = a + bY

C + I

45oa

b

1

Consumption and Investment (as well as Government Spending) are portrayed as additive components of total spending. The three components are distinguished largely in terms of their stability characteristics: stable (C ), unstable (I), and stabilizing (G).

A wholly private macroeconomy achieves an income-expenditure equilibrium when Y = C + I. Note that income itself (rather than prices, wages, or the interest rate) is the equilibrating variable.

Investment depends neither on (current) income nor on the rate of interest. It depends only on profit expectations, which themselves are not well-anchored in economic reality.

Yfe

In capital-based macroeconomics, full employment implies that the economy is operating on its production possibility frontier, the PPF itself being defined in terms of sustainable output levels of consumption and investment goods.

EX

PE

ND

ITU

RE

S

INCOME

C = a + bY

N

W

S

D

C + I

INVESTMENT

CO

NS

UM

PT

ION

In Keynesian macroeconomics, full employment implies that the labor market clears at the going wage rate, the going wage itself having emerged during a period in which the economy was experiencing no macroeconomic problems.

LABOR INCOME

Labor income (Y = WN) is fully representative of total income, such that changes in labor income stand in direct proportion to changes in total income.

According to Keynes, it is only by “accident or design” that the economy is actually performing at its full-employment potential.

We assume here that, initially, full employment conditions prevail—if only by accident.

According to Keynes, a collapse of investment activity (the collapse being attributed to a waning of “animal spirits”) is the primary cause economic downturns. In response to reduced investment and hence reduced employment opportunities, the economy spirals downward into recession and possibly into deep depression.

The simple investment-spending multiplier, 1/(1-b), quantifies the extend of the downward spiraling.

E < Y

EX

PE

ND

ITU

RE

S

INCOME

N

W

S

D

ΔY

EXCESS INVENTORIES

ΔI

C + I

C = a + bY

ΔI

ΔY = 1(1 – b)

Note that the going wage keeps going—even after the market conditions that gave rise to it are gone.

Yfe

E = YΔC

SKIP

MORPHING FROMCIRCULAR FLOW

TO MEANS AND ENDS

The nature of the Keynesian-styled spiraling associated with recession, depression and inflation becomes more transparent with the production possibility frontier in play.

Also, the PPF helps build a bridge from Keynes to Hayek.

Yfe

EX

PE

ND

ITU

RE

S

INCOME

C = a + bY

N

W

S

D

C + I

INVESTMENT

CO

NS

UM

PT

ION

EX

PE

ND

ITU

RE

S

INCOME

N

W

S

D

C + I

C = a + bY

INVESTMENT

CO

NS

UM

PT

ION

A waning of animal spirits causes investment to decrease and with it income and consumption. The economy falls inside its PPF.

Yfe

Note that if investment were to fall to zero, the economy would settle into an income-expenditure equilibrium with Y = C.

Thus, the vertical intercept of the Keynesian demand constraint is aligned with the intersection of the consumption function and the 45o line.

EX

PE

ND

ITU

RE

S

INCOME

N

S

D

W

C = a + bY

C + I

INVESTMENT

CO

NS

UM

PT

ION

A further waning sends the economy deeper into the PPF’s interior.

Movements inside the frontier (and beyond it) trace out a linear relationship, showing how consumption varies with investment.

The straight line that passes through these points is the Keynesian demand constraint.

Yfe

INVESTMENT

“The formula is not, of course, quite so simple as in this illustration…. But there is always a formula, more or less of this kind, relating the output of consumption goods which it pays to produce to the output of investment goods…. This conclusion appears to me to be quite beyond dispute. Yet the consequences which follow from it are at the same time unfamiliar and of the greatest possible importance.”

“If, for example, the public are in the habit of spending nine-tenths of their income on consumption goods, it follows that if entrepreneurs were to produce consumption goods at a cost more than nine times the cost of the investment goods they are producing, some part of their output could not be sold at a price which covered its cost of production.”

+ I b(1 – b)

a(1 – b)

EX

PE

ND

ITU

RE

S

INCOME

C = a + bY

C + I

INVESTMENT

CO

NS

UM

PT

ION

a (1 – b)

b

1 – b

C =

For simplicity, let a = 0 and b = 0.90. Then C = a + bY becomes C = 0.90Y. And C = a/(1-b) + b/(1-b) I becomes C = 9(I), which led Keynes to write:

Yfe

Equilibrium Condition: Y = C + I

Consumption Equation: C = a + bY

Solve for C = f(I): C = a + b(C + I)

C = a + bC + bI

C – bC = a + bI

(1-b)C = a + bI

C = a/(1-b) + [b/(1-b)]I

EX

PE

ND

ITU

RE

S

INCOME

C = a + bY

C + I

CO

NS

UM

PT

ION

RA

TE

OF

IN

TE

RE

ST

SAVIING (S) INVESTMENT (D)

D

S

INVESTMENT

To keep track of possible interest-rate movements, the loanable-funds market can be brought into view.

Though Keynes argued that neither saving nor investment depend to any significant extent on the interest rate, he also argued that both curves (as conventionally drawn) shift together, leaving the interest rate unchanged.

Yfe

Appearing in Keynes’s General Theory is this specific application of the loanable-funds framework. The implications, according to Keynes, is that the loanable-funds reckoning is, at best, superfluous.

But the spiraling downward of income implies that the supply of loanable funds (a.k.a. saving) also shifts leftward, relieving the downward pressure on the interest rate.

EX

PE

ND

ITU

RE

S

INCOME

N

W

S

D

C + I

C = a + bY

INVESTMENT

CO

NS

UM

PT

ION

RA

TE

OF

IN

TE

RE

ST


D

S

INVESTMENT

With the loanable-funds market in play, we see that decreased investment is accompanied by a leftward shift in the demand for loanable funds, putting downward pressure on the interest rate.

Yfe

S, I

S, I

As shown on page 180 of his General Theory, Keynes presented the loanable funds market with the interest rate [ r ] on the horizontal axis.

Although he failed to label the vertical axis, the accompanying text indicates that “saving” and “investment” are measured vertically.

i

Some of the saving curves are intended only to demonstrate that income is a shift parameter and are not otherwise relevant to Keynes’s argument. So, let’s omit them

Keynes’s diagram can be flipped over and rotated 90 degrees to make it conform to modern renditions of the market for loanable funds.

S, I

i

ieq

S = IS’ = I’

Keynes believed that a shift in investment demand would be accompanied by a matching shift in the saving schedule.

Some of the saving curves are intended to demonstrate that income is a shift parameter and are not otherwise relevant to Keynes’s argument. So, let’s omit them.

EX

PE

ND

ITU

RE

S

INCOME

C + I

C

INVESTMENT

CO

NS

UM

PT

ION

RA

TE

OF

IN

TE

RE

ST


D

S

INVESTMENT

Appearing in Keynes’s General Theory is this specific application of the loanable-funds framework. The implications, according to Keynes, is that the loanable-funds reckoning is, at best, superfluous.

Yfe

Keynes also denied that an increase in saving would have the effect imagined by the loanable-funds theorists. Keynes’s “Paradox of Thrift,” as articulated in his General Theory is to the point:

“Every ... attempt to save more by reducing consumption will so affect incomes that the attempt necessarily defeats itself.”

The rightward shift in supply of loanable funds puts downward pressure on the interest rate.

But before there is any movement along the demand for loanable funds, the pressure is relieved as reduced consumption causes income and hence saving to fall.

To resolve Keynes’s “Paradox of Thrift” requires only that we replace the Keynesian cross, which reflects the economy’s circular flow, with the Hayekian triangle, which depicts means and ends in their temporal sequence.

EX

PE

ND

ITU

RE

S

INCOME

N

W

S

D

C + I

C

INVESTMENT

CO

NS

UM

PT

ION

RA

TE

OF

IN

TE

RE

ST


D

S

INVESTMENT

S

Yfe

Hence the Paradox:

Try to save more and you’ll instead earn less!

EX

PE

ND

ITU

RE

S

INCOME

C

C + I

CO

NS

UM

PT

ION

RA

TE

OF

IN

TE

RE

ST


D

S

INVESTMENT

The level of consumption that appears as a part of the Keynesian circular flow also appears in the capital-based framework as the consumable output of a temporal sequence of production activities.

Yfe

CONSUMPTION

The market mechanisms in play here are still those envisioned by Keynes.

In accordance with the paradox, an increase in saving causes the economy to spiral down to a less-than-full-employment level.

Note that the sole effect on the structure of production comes from the initial reduction in consumption. The derived-demand effect works undiminished on all the earlier stages.

The interest rate is effectively out of play. The leftward shift of saving took the downward pressure off of interest rates. And, in any case, the capital structure is assumed to be fixed.

We begin, as before, with the economy functioning at its full employment level.

The labor market is representative of each of the stages of production that make up the economy’s capital structure.

Keynes, however, assumed a “fixed structure of industry,” which in the current context implies a a Hayekian triangle of fixed shape, the only live issue being the triangle’s size, which represents the level of employment and the extent of capital utilization.

The level of consumption that appears as a part of the Keynesian circular flow also appears in the capital-based framework as the consumable output of a temporal sequence of production activities.

STAGES OF PRODUCTION INVESTMENT

CO

NS

UM

PT

ION

RA

TE

OF

IN

TE

RE

ST


D

S

INVESTMENT

S

CO

NS

UM

PT

ION

N

W

S

D

N

W

S

D

CONSUMPTION


With wage rates and the interest rate both adjusting to changing market conditions, the economy can move along its PPF and the structure of productioncan adjust to an increase in saving.

STAGES OF PRODUCTIONSTAGES OF PRODUCTION INVESTMENT


D

INVESTMENT

D

S

RA

TE

OF

IN

TE

RE

ST

CO

NS

UM

PT

ION

N

W

S

D

N

W

S

D

And now, the “Paradox of Thrift” becomes a “Gateway to Growth.”

CO

NS

UM

PT

ION

Three modifications are needed to transform the Keynesian vision into the Hayekian vision:

1. Divide the structure of production into stages. 2. Allow for stage-specific labor markets---in which wage rates adjust to changed market conditions.3. Get rid of the Keynesian Demand Constraint.

N

W

S

D


WORKERS

FACTOROWNERS

CONSUMERS

INCOME

EXPENDITURES


CO

NS

UM

PT

ION

“Mr. Keynes’s aggregates conceal the most fundamental mechanisms of change.”

---F. A. Hayek


John Maynard Keynes1883 — 1946

Friedrich A. Hayek1899 — 1992

Adapted from Time and Money: The Macroeconomics of Capital Structureby Roger W. GarrisonLondon: Routledge, 2001 July 26, 2013

An Application of Capital-Based Macroeconomics


adapted from time and money: the macroeconomics of capital structure by roger w. garrison london:...

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