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ECONOMICS 2

Sponsored by a Grant TÁMOP-4.1.2-08/2/A/KMR-2009-0041 Course Material Developed by Department of Economics,

Faculty of Social Sciences, Eötvös Loránd University Budapest (ELTE) Department of Economics, Eötvös Loránd University Budapest

Institute of Economics, Hungarian Academy of Sciences Balassi Kiadó, Budapest

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Authors: Anikó Bíró, Gábor Lovics Supervised by Gábor Lovics

June 2010

Week 7

Aggregate demand 1

Chapters 9

Outline

Keynesian cross

IS curve

LM curve

Plan

We arrive at the aggregate demand in more steps:

1. Keynesian cross 2. IS–LM model

3. Aggregate demand

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Where

Planned expenditure as function of income

Equilibrium condition

C = C(Y – T) I = I G = G C = C(Y – T)

I = I G = G

E

Y E = C(Y – T) + I + G

E

Y E = C(Y – T) + I + G

E = Y

Y = C(Y – T) + I + G E = Y

Y = C(Y – T) + I + G

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Keynesian cross

How the economy achieves equilibrium

Assume that E < Y, thus the income is larger than expected.

The firms sell less than produced, thus the production is decreased. Temporarily there are superfluous, not planned stocks.

How the economy achives equilibrium

Assume that E > Y, thus the income is smaller than expected.

The stocks of firms decrease more than planned.

The firms increase production.

E

Y E = C(Y – T) + I + G E = Y

E

Y

E = C(Y – T) + I + G

E = Y

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Effect of increasing public expenditures

Public expenditure multiplicator

On the graph we can see that ΔY/ΔG >1.

But why is it true?

Higher public expenditures increase the income, higher income increases the consumption, which increases the income further…

Public expenditure multiplicator

Let the consumption function be:

C = MPC Y + C0 Increasing income 1: ΔG

Increasing income 2: MPC ΔG Increasing income 3: MPC MPC ΔG Etc...

From mathematics we know that the total increase in income is: ΔY = 1/(1 – MPC) ΔG

E

Y E = C(Y – T) + I + G E = Y

G Y

E

Y E = C(Y – T) + I + G E = Y

G

Y

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Tax multiplicator

Tax multiplicator

Analogously to the previous procedure:

Increasing income 1: MPC (–ΔT) Increasing income 2: – MPC (MPC ΔT) Increasing income 3: – MPC MPC (MPC ΔT) Etc...

From mathematics we know that the total increase in income is:

ΔY = – MPC/(1 – MPC) ΔT

Interest rate, investment

According to what we have learnt before, investment is not exogenous but a function of real interest rate.

E

Y E = Y

– T MPC Y

E

Y E = Y

– T MPC

Y

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IS curve

Effect of fiscal policy on IS curve

II rr

I(rI(r ))

rr

Y Y

E E = Y

I I

IS

rr

I(rI(r ))

rr

Y Y

E E = Y

I I

IS

E = C(Y – T) + I(r) + G

rr

Y

E

E = Y

IS IS

Y rr

Y

E

E = Y

IS IS

Y

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Supply on the money market

The supply of nominal money M is exogenously determined by the central bank.

In the short run the price level P is exogenously given.

The supply of real money M/P is constant.

Demand on the money market

As we have learnt, the money demand depends on two factors: income and interest rate.

1. The higher the interest rate, the less money the people want to hold, since the costs of holding money are higher.

2. Higher income implies more transactions and higher demand for money.

Money market equilibrium

rr

L(r,Y) L(r,Y) rr

L(r,Y) L(r,Y)

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The role of monetary policy on the money market

LM curve

r r

M/PM/P L(r,Y) L(r,Y) r

r

M/PM/P L(r,Y) L(r,Y)

rr

M/PM/P L(r,Y) L(r,Y)

rr

YY

Y Y

L(r,Y) L(r,Y) r

LM

r

M/PM/P L(r,Y) L(r,Y)

rr

YY

Y Y

L(r,Y) L(r,Y)

LM

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Effect of monetary policy on LM curve

Equilibrium in the IS–LM model

rr

M/PM/P L(r,Y) L(r,Y)

rr

YY

LM

LM

rr

M/PM/P L(r,Y) L(r,Y)

rr

YY

LM

LM

rr

Y Y ISIS

LMLM rr

Y Y ISIS

LMLM

Y = C(Y – T) + I(r) + G

M/P = L(r,Y)

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