No 08. Chapter 9The IS-LM/AD-AS Model:A General Framework for Macroeconomic Analysis

Chapter 9. Introduction This chapter integrates the elements of our model

that were separately presented in chapters 3,4, and 7, covering labor, goods, and asset markets.

It develops a graphical depiction of our theory that is called the IS-LM/AD-AS model. IS and LM refer to two equilibrium conditions in the model

(investment equals saving; money demand, or liquidity preference, equals money supply).

AD and AS refer to aggregate demand and aggregate supply.

The FE Line I will be using some diagrams that plot the real rate

of interest, r, and output Y on the axes. Recall that labor market equilibrium determines a

quantity of labor, which, via the production function, determines a full-employment level of output. Since that level of output presumably does not depend on

the rate of interest, we can plot the full-employment line as a vertical line in a diagram in which r and Y appear on vertical and horizontal axes.

Figure 9.1 The FE line

FE Curve Shifters

Variable Increases FE Curve ShiftsProductivity Right

Labor Supply (Population) Right

Capital Stock Right

Deriving the IS Curve Recall the Goods Market Equilibrium

Condition:

d dS I

Goods Market Equilibrium

r

Sd, Id

I

S

Goods Market Equilibrium

r

Sd, Id

I

S

r

Sd = Id

Consider a Rise in Income As income rises, the desired saving curve

shifts right, and the equilibrium rate of interest falls as we slide down the desired investment curve (next slide).

Goods Market Equilibrium

r

Sd, Id

I

S

r0

Sd = Id

Goods Market Equilibrium

r

Sd, Id

I

S

r1

Sd = Id

S (Higher Income)

r0

Deriving IS The previous slide shows that as income varies and

goods market equilibrium is maintained, a higher value of income is associated with a lower value of the expected real interest rate

Plot the income-interest rate pairs that satisfy the goods market equilibrium condition to get the IS curve The inverse relationship between income and interest rate

implies that the IS curve is downward sloping

Figure 9.2 Deriving the IS curve

Shifting IS Recall that IS was derived by considering how the

desired saving curve moved along the desired investment curve as income changed.

Suppose a shock (say a government spending increase) causes saving to decline at each level of income Then the interest rate is higher at each level of income. Then we must redraw IS, with higher r for each level of Y.

IS has shifted to the right. For other shocks that shift saving or investment

schedules, we can also infer how IS shifts.

IS Curve Shifters

Variable Increases IS Curve Shifts

Expected Future Output Right

Wealth RightGovernment Spending Right

Taxes None (Ricardian) or Left

Expected future MPK RightEffective Tax Rate on K Left

The LM Curve The IS plots income interest-rate pairs such

that desired spending is equal to output, or desired saving is equal to desired investment

We will now derive the LM curve, which plots income-interest rate pairs such that the quantity of money demanded is equal to the quantity of money supplied.

Money Market Equilibrium Revisited

The LM Curve

The Derivation of LM

LM Curve Shifters

Variable Increases LM Curve ShiftsNominal Money Supply RightPrice Level LeftExpected Inflation RightNominal interest rate on money im

Left

Anything Else Increasing the Demand for Money

Left

General Equilibrium in the IS-LM Model In general equilibrium, all markets satisfy their

respective equilibrium conditions. Labor, Goods, and Money Markets Must all be in

equilibrium. The logic of general equilibrium:

The labor market determines output. Given output (income) the goods market then determines

an interest rate. Given output, the interest rate, and the expected inflation

rate, then the money market determines the price level.

General Equilibrium in the IS-LM Model (Diagram)

Equilibrium: A Coincidence? Labor Market equilibrium requires that the economy

be on the FE line Goods Market equilibrium requires that the economy

be on the IS Curve Money Market equilibrium requires that the

economy be on the LM Curve General equilibrium requires that the economy be

on all three curves simultaneously Does this require a happy coincidence? (No)

Consider a Monetary Expansion Suppose that the money supply increases. This shifts the LM

Curve to the right. Normally, an increase in the money supply, holding other things

equal, would put downward pressure on the rate of interest People are willing to hold the greater supply of money if the

interest rate is lower as the economy slides down the IS curve. But at the IS-LM intersection, desired spending is greater than

the full employment level of output. The excess of spending over output produced puts upward pressure on the price level, returning LM to its original position, and the economy to its original equilibrium

A Monetary Expansion (Diagram)

Review on Equilibrium To review, output is determined by the

FE lineGiven output the intersection of IS and

FE determines the interest rateFinally, the price level adjusts so that

LM intersects both IS and FE

A Digression on Goods Market Equilibrium Our goods market equilibrium condition requires that desired

spending be equal to output produced However, this is not really a typical demand-supply equilibrium

notion The goods market equilibrium condition may be better thought of as

a demand consistency condition: That is, if a certain output is produced it generates income,

and that income generates spending. If the spending generated is just sufficient to buy up the output produced, then the demand consistency condition is satisfied.

We need the FE line, reflecting limitations imposed by resource availability and technology, to put a supply-side constraint on our theory

Timing of Movement to Equilibrium Our model, as formulated, does not tell us the order

in which variables move—we just infer that the economy moves from one equilibrium to another (after a shock).

Here are some thoughts on timing: Interest rates (and financial markets generally) adjust very

quickly Nominal (and real) wages adjust slowly (often wages are

set for long periods of time Prices may also adjust slowly The goods market adjusts with intermediate speed (we

often see unanticipated inventory movements, but firms may alter production before revising prices)

Timing of Movement to Equilibrium (More) When the money supply increases, the interest rate

falls (the Fed buys bonds, driving up the price, and lowering the rate of interest).

Desired spending increases, so firms see inventories declining.

Firms increase production (and workers work more). Firms initially respond by producing more, but will

eventually adjust prices upward; workers will also negotiate higher nominal wages.

When prices rise, the real money supply falls, LM shifts back to the left, and the interest rate, the rate of output, and the real wage all return to original levels

A Look Ahead:Keynesian and Classical Views We will say much more about “Keynesian”

and “Classical” macroeconomic theories Keynesians emphasize the short-term rigidity

of prices and wages Classical economists emphasize that all

markets reach equilibria rather quickly

The Model Again: Price? We have been analyzing an increase in the money

supply—suppose that it is a 10% increase Once we reach a new equilibrium, r and Y are

unchanged So long as the expected rate of inflation is also

unchanged (as it should be if this was a one-time increase in the money supply), then the increase in the price level must also be 10%.

, eM L Y rP

What Happened to Wages? The price level rose 10%, but the real wage is

unchanged Labor demand and supply curves never moved,

so the equilibrium real wage has not changed either

But if the real wage is unchanged, and the price level has increased by 10%, then the nominal wage must also increase by 10%

Money Neutrality In our thought experiment, an increase in the

money supply affected nominal variables (P and W) but not real variables (Y, C, I, r, W/P)

“Money Neutrality” is the proposition that an increase in the money supply has no real effects

Money neutrality holds (almost) immediately in the Classical view, but only after a considerable lag in the Keynesian view

Steady Money Growth We just considered a one-time increase in M,

which eventually was followed by an equi-proportional increase in P

Suppose that money is increasing steadily, not just once For example, money and prices might each be

growing steadily at a 4% rate In such a situation, LM is not moving at all, and

output and the real rate of interest will be constant.

Aggregate Demand and Aggregate Supply We have now specified a complete model However, sometimes it is convenient to look

at the model differently—with a different diagram

We next introduce AD and AS curves These curves plot output, Y, and the price level,

P. These diagrams allow us to focus attention on the

determination of the price level, which was not directly visible in the IS-LM diagram.

The AD Curve Consider the IS-LM diagram. A given LM curve is drawn for a fixed level of P. If P changes, then the LM curve shifts. Consider various levels of P.

For each price level, draw the appropriate LM curve The sequence of IS-LM intersections determines Y values

to be associated with each level of P. Plotting these P-Y pairs yields the aggregate

demand (AD) curve.

Deriving AD

The Long Run Aggregate Supply Curve When all markets clear, we are in long-run

equilibrium. Note: This is not necessarily a matter of time. In the

classical model, when all markets equilibrate instantaneously, then we reach the long-run immediately.

The AS curve plots output supplied versus the price level.

Output supplied is determined by the labor market and the production function; it is the full employment level of output, .

Output supplied does not vary with P, so the AS curve is vertical at .

Y

Y

Aggregate Supply in the Short-Run Assume that the short-run is a time frame in

which the price level is fixed, and the quantity of output is determined by demand (whatever that level may be)

So the AS curve is horizontal at a given price level

Our original labor market equilibrium model has been discarded for the short run The short-run horizontal AS curve is really only a

feature of Keynesian interpretations of our theory

AS: Long Run and Short Run

Long-run and Short-run Equilibria In long-run equilibrium, the economy must be on AD, SRAS, and

LRAS. In a short-run equilibrium, the economy must be on AD and

SRAS. To go to a new long-run equilibrium, price (and SRAS) must shift. Note that our assumptions now make it clear that an increase in

AD can lead to an increase in output in the short-run, but an increase in price in the long-run

The vertical long-run supply illustrates the money neutrality property Increases in M, causing increases in AD, do not change output,

but they do change P.

AD Shifters Any variable that shifts IS or LM, with the exception

of P, will also shift AD The direction of the shift is determined by whether

the IS-LM diagram shows an increase in income as a result of the shift in the IS-LM diagram: if IS and LM intersect at a higher level of income, then the AD curve shifts to the right. At any price level, if IS and AD determine a higher level of

income, then that price level is now associated with a higher level on income on AD.

LRAS Shifters The LRAS curve will change when the full

employment level of output changes This means that it is shifted by the same

variables that shift the FE Curve: Productivity Labor supply Capital stock

SRAS Shifters The SRAS curve shifts only when the price

level changes from one “fixed” level to another This period price might be fixed at a given level,

but in a future period it might be fixed at some other level

Upcoming Chapters In the next two chapters, we will use the IS-

LM / AS-AD model to illustrate short- and long-run consequences of a variety of shocks to the economy

The End