The IS-LM model combines the IS and LM curves to determine output and interest rates. In this exercise, you work with the variables that determine the position of each curve. the exercise has two parts: one showing how the IS curve is derived and one showing how the LM curve is derived. To switch between IS and LM, click on the main tabs in the upper left corner.

The IS curve is derived from the Keynesian Cross model. This model consists of two basic equations:

E = C (Y - T) + I(r) + G

Planned Expenditure (E) equals the sum of consumption (C), investment (I) and government spending (G).

Y = E

Actual expenditure (Y) equals planned expenditure.

Figures in the textbook illustrates the Keynesian Cross model. The equilibrium values of Y and E are at the intersection of the two curves.

By varying the interest rate (r):


Higher r =lower planned investment
lower planned expenditure
lower Y.

In summary, the Keynesian Cross model implies that Y and r and negatively related.

In the IS curve part of the exercise, you will be able to change G and T. A change in G or T causes the planned expenditure schedule to shift at every r, resulting in a shift of the IS curve.

The LM curve is derived from the Liquidity Prefernce theory. This theory consists of three basic equations:

left parent M by P right parent Whole sqaure S is equalto left parent M bar by P bar right parent whole equation

The supply of real balances is fixed.

M by P whole square D is equalto L left parent r , y right parent equation

The demand for real balances is related to the interest rate.

left parent M by P right parent whole square S is equalto left parent M by P right parent whole square d equation

The supply of real balances equals the demand for real balances.


The equilibrium r is determined by the intersection of the two curves.

The LM curve is derived from the theory of Liquidity Preference by varying income (Y).



This implies that r and Y are positively related.

A change in M or P shifts the supply of (M/P) at every level of Y, resulting in a shift of the LM curve.

Higher Y =r must rise so that demand for (M/P) continues
to equal the (fixed) supply of (M/P).

Keynesian Cross
3500E6500
r = 7'
r = 7
r = 9'
r = 9
3500Y6500
IS Diagram
6.0079r10.00
10.00
9
r
7
6.00
9
7
IS'
IS
3500Y6500
Exogenous
Goverment Spending ($ bil)Slider
Current value: 1000
65010001350
Taxes ($ bil)Slider
Current value: 1000
65010001350
Endogenous
Baseline

Deriving the IS and LM Curves

Baseline values show the initial conditions of the economy. To see the effect of a policy change, move the sliders.

For questions about this exercise, see the Questions below the model. To change this exercise's parameters, click on Parameters. There are different questions and parameters for IS and LM.

Parameters
Marginal Propensity to ConsumeSlider
Current value: 0.6
0.400.600.80
Interest Elasticity of Investment DemandSlider
Current value: -3
-3.50-3.00-2.50
Money Market
12.00
r
4.00
4500
5500
M/P
500M/P1000
LM Diagram
12.00
r
4.00
LM'
LM
35004500Y55006500
Exogenous
Money Supply ($ bil)Slider
Current value: 750
650750850
Price LevelSlider
Current value: 1
0.501.001.50
Endogenous
Baseline

Deriving the IS and LM Curves

Baseline values show the initial conditions of the economy. To see the effect of a policy change, move the sliders.

For questions about this exercise, see the Questions below the model. To change this exercise's parameters, click on Parameters. There are different questions and parameters for IS and LM.

Parameters
Interest Elasticity of Money DemandSlider
Current value: -0.5
-0.80-0.50-0.10
Output Elasticity of Money DemandSlider
Current value: 1
0.801.001.20

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