A Basic Model of the
Determination of GDP in the
Short Term
Chapter 16
Learning Outcomes
 The macroeconomic theory that we now study
explains the deviation of actual from potential
GDP, that is the GDP gap.
 The determination of GDP in the short run depends
on the behaviour of key categories of aggregate
spending: consumption, investment, government
spending, and net exports.
Learning Outcomes
 Consumption spending depends on disposable income
and wealth.
 Investment spending depends on real interest rates
and business confidence.
 A necessary condition for GDP to be in equilibrium is
that desired domestic spending equals actual output.
What Determines Aggregate Expenditure
 Desired aggregate expenditure includes desired
consumption, desired investment, and desired
government expenditures, plus desired net
exports.
 It is the amount that economic agents want to
spend on purchasing the national product.
 In this chapter we consider only consumption and
investment.
A BASIC MODEL OF THE DETERMINATION OF GDP
What Determines Aggregate Expenditure
 A change in personal disposable income leads to a
change in private consumption and saving.
 The responsiveness of these changes is measured
by the marginal propensity to consume [MPC] and
the marginal propensity to save [MPS], which are
both positive and sum to one.
 This indicates that, by definition, all disposable
income is either spent on consumption or saved.
A BASIC MODEL OF THE DETERMINATION OF GDP
 A change in wealth tends to cause a change in the
allocation of disposable income between
consumption and saving. The change in
consumption is positively related to the change in
wealth, while the change in saving is negatively
related to this change.
 Consumption is negatively related to change in
interest rates.
A BASIC MODEL OF THE DETERMINATION OF GDP
 Investment consists of inventory accumulation,
residential housing construction and business fixed
capital formation.
 Investment depends, among other things, on real
interest rates and business confidence.
 Higher the interest rates lower the level of desired
inventory of goods and material, lower the spending
for residential construction and lower the investment
in fixed capital.
 Current profits which largely finance capital formation
are an important determinant of investment
 In our simple theory investment is treated as
autonomous, or exogenous, as is the constant term in
the consumption function, called autonomous
consumption.
 The part of consumption that responds to changes in
income is called induced spending.
A BASIC MODEL OF THE DETERMINATION OF GDP
Equilibrium GDP
 At the equilibrium level of GDP, purchasers wish
to buy exactly the amount of national output that
is being produced.
 At GDP above equilibrium, desired expenditure
falls short of national output, and output will
sooner or later be curtailed.
A BASIC MODEL OF THE DETERMINATION OF GDP
Equilibrium GDP
 At GDP below equilibrium, desired expenditure
exceeds national output, and output will sooner or
later be increased.
 In a closed economy with no government, desired
saving equals desired investment at equilibrium
GDP.
A BASIC MODEL OF THE DETERMINATION OF GDP
 Equilibrium GDP is represented
graphically by the point at which the
aggregate expenditure curve cuts the 450
line, that is, where total desired
expenditure equals total output.
 This is the same level of GDP at which
the saving function intersects the
investment function.
A BASIC MODEL OF THE DETERMINATION OF GDP
Changes in GDP
 With a constant price level, equilibrium
GDP is increased by a rise in the desired
consumption or investment expenditure
that is associated with each level of
national income.
 Equilibrium GDP is decreased by a fall in
desired spending.
A BASIC MODEL OF THE DETERMINATION OF GDP
Changes in GDP
 The magnitude of the effect on GDP of
shifts in autonomous expenditure is given
by the multiplier.
 It is defined as K = Y/A, where A is the
change in autonomous spending and Y
the resulting increase in GDP.
A BASIC MODEL OF THE DETERMINATION OF GDP
 The simple multiplier is the multiplier
when the price level is constant.
 It is equal to 1/[1 - z], where z is the
marginal propensity to spend out of
national income.
 Thus the larger z is, the larger is the
multiplier. It is a basic prediction of
macroeconomics that the simple
multiplier, relating £1 worth of increased
spending on domestic output to the
resulting increase in GDP, is greater than
unity.
A BASIC MODEL OF THE DETERMINATION OF GDP
Terminology of Business Cycles
 A trough is characterized by high
unemployment and a level of demand that is
low in relation to the economy’s capacity to
produce.
 Recovery is characterised by run down
equipment being replaced, employment,
income and consumer spending all beginning
to rise and expectations becoming more
favorable.
 A peak is the top of a cycle. At the peak
existing capacity is utilized to a high degree.
 Recession is defined as a fall in real GDP for
two quarters in succession. It is a phase of
downturn in economic activity.
Calculation of average and
marginal propensity to consume
500 1000 1500
450
450
2000
500
1000
1500
2000
(i). Consumption Function [£ million]
Real Disposable Income
C S
500 1000 1500 2000
The Consumption and Saving Functions
-500
-100
0
250
500
Real Disposable Income
(ii). Saving Function [£ million]
Note: Initially, at zero income consumers are drawing down on existing
savings / assets .
Consumption and savings schedules
(£millions)
The consumption and saving
functions
 Both consumption and saving rise as disposable
income rises.
 Line C relates desired consumption to disposable
income.
 Its slope is the marginal propensity to consume (MPC).
 Saving is all disposable income that is not spent on
consumption.
 The relationship between disposable income and
desired saving is shown by line S.
The consumption and saving
functions
 Its slope is the marginal propensity to save (MPS).
 Any given amount of disposable income must be
accounted for by consumption plus saving.
 Consumption and saving schedules (Table) show
the numerical values of desired consumption and
saving at each level of income, and correspond to
the C and S lines in the figure.
The aggregate spending function in a
closed economy with no government
(£million)
1000 2000 3000 4000
1000
2000
3000
Real National Income Function [GDP] [£m]
350
An Aggregate Expenditure Function
4000
5000
AE
5000
An aggregate expenditure function
 The aggregate expenditure function relates total
desired expenditure to national income.
 Here desired expenditure is the sum of desired
consumption and desired investment.
 It is assumed that desired investment is £250
million while consumption is £100 million plus 0.8
times income.
 So when income is zero there is autonomous
expenditure of £350 million.
 The marginal propensity to spend is 0.8.
The determination of
equilibrium GDP (£million)
0
1000 2000
1000
2000
3000
Real National Income [GDP] [£m]
350
[i]. An Aggregate Expenditure Function[AE = Y]
3000
450
450
[AE = Y]
S
I
[ii]. Saving Function[S = I]
Real National Income [GDP] [£m]
3000
2000
1000
500
-100
-500
0
Desired
saving
(£m)
250
Y0
Equilibrium GDP
Y0
E0
 GDP is in equilibrium where aggregate desired
expenditure (AE) equals national output.
 In the figure equilibrium GDP occurs at E0 where
AE intersects the 450 line.
 If GDP is below Y0 desired AE will exceed national
output and production will rise.
Equilibrium GDP
 If GDP is above Y0 desired AE will be less than
national output and production will fall.
 When saving is the only withdrawal and
investment is the only injection, the equilibrium
level of GDP is also that where saving equals
investment.
Equilibrium GDP
0
450
AE = Y
Real National Income [GDP]
The Simple Multiplier
Y0
0
E0
AE0
e0
450
AE = Y
Real National Income [GDP]
The Simple Multiplier
Y0
0
AE1
Y1
E0
E1
AE0
e1
e’1
e0
450
a
Y
A
AE = Y
Real National Income [GDP]
The Simple Multiplier
The simple multiplier
 An increase in the autonomous component of
desired aggregate expenditure increases
equilibrium GDP by a multiple of the initial
increase.
 The initial equilibrium is at E0, where AE0
intersects the 450 line. Here desired
expenditure equals national output.
The simple multiplier
 An increase in autonomous expenditure of A
then shifts the AE function up to AE1.
 Because desired spending is now greater that
output, production and GDP will rise.
 Equilibrium occurs when GDP rises to Y1.
 Here desired expenditure e1 equals output Y1.
The multiplier – A numerical
example
The multiplier – A numerical
example
A numerical example of the multiplier
 Assuming that the marginal propensity to
spend out of national income is 0.8 and there
is an autonomous expenditure increase of
£100m.
 National income and output initially rises by
£100m.
A numerical example of the multiplier
 Those receiving £100m in income then spend
£80m.
 This £80m of income leads to further spending
of £64m.
 This £64m of income lead to a further increase
in spending of £51.2m.
 If we carry on this process it will converge to
an extra income and output totalling £500m.
 The multiplier in this case is 5.
A BASIC MODEL OF THE DETERMINATION
OF GDP
The macroeconomic problem: inflation and
unemployment
 Models of the short-term determination of GDP
explain why actual GDP deviates from potential GDP.
 Actual GDP above potential can be associated with
inflation, while actual GDP below potential is
associated with unemployment and lost output.
A BASIC MODEL OF THE DETERMINATION
OF GDP
Key Assumptions
 For simplicity we aggregate all industrial sectors into
one, so the economy produces only one type of
output good.
 We explain GDP determination through the major
expenditure categories: private consumption,
investment, government consumption, and net
exports.

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2 determination of gdp in the short run

  • 1. A Basic Model of the Determination of GDP in the Short Term Chapter 16
  • 2. Learning Outcomes  The macroeconomic theory that we now study explains the deviation of actual from potential GDP, that is the GDP gap.  The determination of GDP in the short run depends on the behaviour of key categories of aggregate spending: consumption, investment, government spending, and net exports.
  • 3. Learning Outcomes  Consumption spending depends on disposable income and wealth.  Investment spending depends on real interest rates and business confidence.  A necessary condition for GDP to be in equilibrium is that desired domestic spending equals actual output.
  • 4. What Determines Aggregate Expenditure  Desired aggregate expenditure includes desired consumption, desired investment, and desired government expenditures, plus desired net exports.  It is the amount that economic agents want to spend on purchasing the national product.  In this chapter we consider only consumption and investment. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 5. What Determines Aggregate Expenditure  A change in personal disposable income leads to a change in private consumption and saving.  The responsiveness of these changes is measured by the marginal propensity to consume [MPC] and the marginal propensity to save [MPS], which are both positive and sum to one.  This indicates that, by definition, all disposable income is either spent on consumption or saved. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 6.  A change in wealth tends to cause a change in the allocation of disposable income between consumption and saving. The change in consumption is positively related to the change in wealth, while the change in saving is negatively related to this change.  Consumption is negatively related to change in interest rates. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 7.  Investment consists of inventory accumulation, residential housing construction and business fixed capital formation.  Investment depends, among other things, on real interest rates and business confidence.  Higher the interest rates lower the level of desired inventory of goods and material, lower the spending for residential construction and lower the investment in fixed capital.  Current profits which largely finance capital formation are an important determinant of investment  In our simple theory investment is treated as autonomous, or exogenous, as is the constant term in the consumption function, called autonomous consumption.  The part of consumption that responds to changes in income is called induced spending. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 8. Equilibrium GDP  At the equilibrium level of GDP, purchasers wish to buy exactly the amount of national output that is being produced.  At GDP above equilibrium, desired expenditure falls short of national output, and output will sooner or later be curtailed. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 9. Equilibrium GDP  At GDP below equilibrium, desired expenditure exceeds national output, and output will sooner or later be increased.  In a closed economy with no government, desired saving equals desired investment at equilibrium GDP. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 10.  Equilibrium GDP is represented graphically by the point at which the aggregate expenditure curve cuts the 450 line, that is, where total desired expenditure equals total output.  This is the same level of GDP at which the saving function intersects the investment function. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 11. Changes in GDP  With a constant price level, equilibrium GDP is increased by a rise in the desired consumption or investment expenditure that is associated with each level of national income.  Equilibrium GDP is decreased by a fall in desired spending. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 12. Changes in GDP  The magnitude of the effect on GDP of shifts in autonomous expenditure is given by the multiplier.  It is defined as K = Y/A, where A is the change in autonomous spending and Y the resulting increase in GDP. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 13.  The simple multiplier is the multiplier when the price level is constant.  It is equal to 1/[1 - z], where z is the marginal propensity to spend out of national income.  Thus the larger z is, the larger is the multiplier. It is a basic prediction of macroeconomics that the simple multiplier, relating £1 worth of increased spending on domestic output to the resulting increase in GDP, is greater than unity. A BASIC MODEL OF THE DETERMINATION OF GDP
  • 15.  A trough is characterized by high unemployment and a level of demand that is low in relation to the economy’s capacity to produce.  Recovery is characterised by run down equipment being replaced, employment, income and consumer spending all beginning to rise and expectations becoming more favorable.  A peak is the top of a cycle. At the peak existing capacity is utilized to a high degree.  Recession is defined as a fall in real GDP for two quarters in succession. It is a phase of downturn in economic activity.
  • 16. Calculation of average and marginal propensity to consume
  • 17. 500 1000 1500 450 450 2000 500 1000 1500 2000 (i). Consumption Function [£ million] Real Disposable Income C S 500 1000 1500 2000 The Consumption and Saving Functions -500 -100 0 250 500 Real Disposable Income (ii). Saving Function [£ million] Note: Initially, at zero income consumers are drawing down on existing savings / assets .
  • 18. Consumption and savings schedules (£millions)
  • 19. The consumption and saving functions  Both consumption and saving rise as disposable income rises.  Line C relates desired consumption to disposable income.  Its slope is the marginal propensity to consume (MPC).  Saving is all disposable income that is not spent on consumption.  The relationship between disposable income and desired saving is shown by line S.
  • 20. The consumption and saving functions  Its slope is the marginal propensity to save (MPS).  Any given amount of disposable income must be accounted for by consumption plus saving.  Consumption and saving schedules (Table) show the numerical values of desired consumption and saving at each level of income, and correspond to the C and S lines in the figure.
  • 21. The aggregate spending function in a closed economy with no government (£million)
  • 22. 1000 2000 3000 4000 1000 2000 3000 Real National Income Function [GDP] [£m] 350 An Aggregate Expenditure Function 4000 5000 AE 5000
  • 23. An aggregate expenditure function  The aggregate expenditure function relates total desired expenditure to national income.  Here desired expenditure is the sum of desired consumption and desired investment.  It is assumed that desired investment is £250 million while consumption is £100 million plus 0.8 times income.  So when income is zero there is autonomous expenditure of £350 million.  The marginal propensity to spend is 0.8.
  • 25. 0 1000 2000 1000 2000 3000 Real National Income [GDP] [£m] 350 [i]. An Aggregate Expenditure Function[AE = Y] 3000 450 450 [AE = Y] S I [ii]. Saving Function[S = I] Real National Income [GDP] [£m] 3000 2000 1000 500 -100 -500 0 Desired saving (£m) 250 Y0 Equilibrium GDP Y0 E0
  • 26.  GDP is in equilibrium where aggregate desired expenditure (AE) equals national output.  In the figure equilibrium GDP occurs at E0 where AE intersects the 450 line.  If GDP is below Y0 desired AE will exceed national output and production will rise. Equilibrium GDP
  • 27.  If GDP is above Y0 desired AE will be less than national output and production will fall.  When saving is the only withdrawal and investment is the only injection, the equilibrium level of GDP is also that where saving equals investment. Equilibrium GDP
  • 28. 0 450 AE = Y Real National Income [GDP] The Simple Multiplier
  • 29. Y0 0 E0 AE0 e0 450 AE = Y Real National Income [GDP] The Simple Multiplier
  • 30. Y0 0 AE1 Y1 E0 E1 AE0 e1 e’1 e0 450 a Y A AE = Y Real National Income [GDP] The Simple Multiplier
  • 31. The simple multiplier  An increase in the autonomous component of desired aggregate expenditure increases equilibrium GDP by a multiple of the initial increase.  The initial equilibrium is at E0, where AE0 intersects the 450 line. Here desired expenditure equals national output.
  • 32. The simple multiplier  An increase in autonomous expenditure of A then shifts the AE function up to AE1.  Because desired spending is now greater that output, production and GDP will rise.  Equilibrium occurs when GDP rises to Y1.  Here desired expenditure e1 equals output Y1.
  • 33. The multiplier – A numerical example
  • 34. The multiplier – A numerical example
  • 35. A numerical example of the multiplier  Assuming that the marginal propensity to spend out of national income is 0.8 and there is an autonomous expenditure increase of £100m.  National income and output initially rises by £100m.
  • 36. A numerical example of the multiplier  Those receiving £100m in income then spend £80m.  This £80m of income leads to further spending of £64m.  This £64m of income lead to a further increase in spending of £51.2m.  If we carry on this process it will converge to an extra income and output totalling £500m.  The multiplier in this case is 5.
  • 37. A BASIC MODEL OF THE DETERMINATION OF GDP The macroeconomic problem: inflation and unemployment  Models of the short-term determination of GDP explain why actual GDP deviates from potential GDP.  Actual GDP above potential can be associated with inflation, while actual GDP below potential is associated with unemployment and lost output.
  • 38. A BASIC MODEL OF THE DETERMINATION OF GDP Key Assumptions  For simplicity we aggregate all industrial sectors into one, so the economy produces only one type of output good.  We explain GDP determination through the major expenditure categories: private consumption, investment, government consumption, and net exports.