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Harry Hillman Chartrand, PhD.

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Macroeconomics

2.0 Aggregate Expenditure (cont'd)

   

 2.4. Circular Flow of National Income

In an open economy, planned aggregate expenditure is the result of decisions taken by four different players based on very different criteria.  Players include (MBB 10th Ed Fig. 4.3; MBB 11th Ed not displayed; PB Fig. 22.2) :

i - Households: which plan to spend or save and whether to buy domestically produced goods and services (C) and/or imports (M).  Consumption and savings plans are based upon real income (including current and expected future income), tax rates (affecting disposable income), real interest rates (affecting savings) and the relative prices of domestic and imported goods and services;

ii - Firms: which plan how much to invest based upon expected profit rates and real interest rates;

iii - Governments: which plan how much to spend based on political as well as economic decisions and whether to finance spending out of tax revenues and/or borrowing on the financial markets; and,

iv - Rest of the World: which plan to buy Canadian goods or services or from whom Canadians buy based on their relative international price.  These plans affect the level of net exports.  Whether or not the plans of all or some of these players can be realized depends on the relationship between their plans and real GDP.  Planned aggregate expenditure is expressed as:

AE = C + I + G + X – M  

 

a) Aggregate Expenditure Schedule

    The aggregate expenditure schedule displays in table form the ‘planned’ expenditure components of GDP (MBB 10th Ed Fig. 7.14; MBB 11th ED Fig. 7.5; PB Fig. 25.5).        

b) Aggregate Expenditure Curve

    From the Aggregate Expenditure Schedule an Aggregate Expenditure Curve can be plotted (MBB 10th Ed Fig. 7.14; MBB 11th ED Fig. 7.5; PB Fig. 25.5).  There are two distinct types of expenditures: autonomous & induced.

    Autonomous expenditures are not influenced by the level of real GDP.  They include: I, G, X and autonomous consumption, i.e. what can be called 'a' which is non-discretionary or 'survival' spending.  Autonomous expenditures are made independent of the level of real GDP.  Accordingly, they are graphed as straight horizontal lines.

    Induced expenditures are influenced by the level of real GDP.  They include non-survival consumption plus most imports (excepting production goods).  However, with respect to impact on domestic GDP (that is domestic production of goods and services and payment for domestic factors of production), ‘induced expenditure’ are defined as non-survival consumption less imports, i.e. consumption of domestically produced goods and services.

c) Actual & Planned Expenditure and Real GDP

    Actual aggregate expenditure is always equal to real GDP.  Planned and actual aggregate expenditures or real GDP, however, can diverge.  How?  It is assumed that C, G, X & M planned expenditures will be fulfilled.  That leaves I as the component that can vary between planned and actual.  This is due to one facet of I, inventories.  When aggregate planned expenditure is less than actual, inventories increase; if planned is greater than actual, inventories shrink below the level firms wish to maintain them (inventory targets).  This sets up a dynamic in the next time period. Keynes's introduction of inventory adjustment led in the post-WWII period to recessions averaging about two quarters of a year.  Once inventories are run down, production starts up again.  Prior to recognition of this mechanism the duration of a recession was much longer, as much as 5 years.  Capital plant and equipment were run down and then replaced causing the upturn.

d) Equilibrium Expenditure

    Equilibrium expenditure is the level of planned aggregate expenditure that equals real GDP.  It can be represented as a 45* line drawn from the origin of a graph with the x-axis representing real GDP and the y-axis representing aggregate planned expenditures (MBB 10th Ed  Fig. 7.9; MBB 11th Ed. Fig. 7.2; PB Fig. 25.6).  If planned expenditure exceeds real GDP inventories are drawn down; if real GDP exceeds planned spending, inventories build up.  A dynamic processes of convergence sets in which tends to direct aggregate planned expenditure towards equilibrium at real GDP in manner of convergence or denouement.

 

2. 5 The Multiplier

a) Concept

    An increase in autonomous expenditure (I, G or X) increases equilibrium by more than increase in autonomous expenditure.  The multiplier is the rate of magnification or multiplication of increase in autonomous expenditure in terms of increased equilibrium expenditure and real GDP (MBB 10th Ed Fig. 7.14; MBB 11th ED Fig. 7.5; PB Fig. 25.7). 
         In many ways, the multiplier effect is like throwing a pebble into a pond.  The initial ripple is followed by other ripples that stretch further and further out across the pond.  Thus if investment suddenly increases because firms anticipate lower real interest rates or higher real profit rates, they invest (1st ripple).  To invest they buy factors of production from households which therefore receive more income which they spend (2nd ripple).  The goods and services purchased with this new income in turn are made by firms that hire more factors of production to increase production increases the income of other households which in turn increase their spending (3rd ripple).  And so on, and so on....

b) Size

    The increase in autonomous expenditure therefore ‘induces’ further increases in expenditure.   The size of the multiplier equals change in equilibrium expenditure divided by the change in autonomous expenditure.   Graphically, the size of the multiplier is determined by the slope of AE curve where: the multiplier = 1 /( 1 – slope of AE).   All things being equal, the steeper the slope of the AE curve, the larger the multiplier; the gentler the slope, the lower the multiplier (MBB 10th Ed Fig. 7.14; MBB 11th ED Fig. 7.5; PB Fig. 25.7).   It is important to note that the multiplier is a process that spreads out over time (MBB 10th Ed Fig. 7.11; MBB 11th Ed Fig. 6.8; PB Fig. 25.8).  In addition, the effect of the multiplier depends on the slope of the AE curve, i.e., MPC.

c) Consumption, Income Taxes & Imports

    The size of the multiplier depends on the slope of AE which, in turn, is determined by the marginal propensity to consume (MPC), the marginal tax rate (MTR) and the marginal rate of imports (MPM).  All things being equal: the higher MPC, the steeper the slope of AE; the higher MTR, the gentler the slope; the higher MPM, the gentler the slope.

d) Business Cycle

    Economist study the business cycles - the ups and downs of the economy (MBB 10th Edition Fig. 6.1; MBB 11th Ed Fig. 5.1).  They know and understand the forces that cause them but are still unable to predict them.   Essentially, an expansion is triggered by increase in autonomous expenditure, e.g. I up due to interest rates falling;  a recession is triggered by a decrease in autonomous expenditure, e.g. real GDP in rest of world declines and X fall.

According to the Dictionary of Economics and Business (Erwin Esser Nemmers, Littlefield, Adams, Totowa, New Jersey, 3rd Ed., 1976, pp. 54-5), the business cycle is:

Rhythmic changes which take place in business conditions over a period of time.  The phases of the cycle are called prosperity (peak, upswing, expansion), crisis (down-turn), depression (trough, downswing, contraction), and recovery (upturn, revival).  Various explanations for the business cycle have been developed.  In analyzing cyclical statistics a number of different cycles have been found, each named after the man who developed knowledge of it.  Thus the Kitchin cycle is about 40 months, the Juglar cycle is from 8 to 14 years, the Spiethoff cycle about 20 to 30 years and the Kondratieff cycle (long wave) about 50 years.

There are a wide variety of explanations for the business cycle including the:

endogenous theory

exogenous theory

innovation theory

interaction of multiplier & accelerator theory

inventory theory

monetary theory

overinvestment-oversaving theory

psychological theory

underconsumption theory

weather (sunspots) theory

 

e) Multiplier, Real GDP & Price Level

   Changes in business inventories can eventually lead to changes in prices, e.g. if sales exceed plan inventories decline and new production takes time, price may go up, and vice versa.
    As we will see aggregate demand is plotted on a graph with the x-axis representing  real GDP and the y-axis representing the price level (MBB 10th & 11th Eds Fig. A8.1; PB Fig. 25.10).  On the other hand, aggregate expenditure plots planned expenditure against real GDP.
    If inventory adjustments lead to price changes then real GDP can be effected through wealth and substitution effects
.  If prices rise, wealth is affected because the value of financial assets is worth less in terms of goods and services they can purchase.  Therefore, households will plan to buy less.
    Similarly, higher prices today relative to anticipated lower prices tomorrow will lead households to substitute consumption tomorrow for today.    In addition, higher domestic prices means that exports decrease and imports increase.


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