
HOMOGENEOUS OF DEGREE N: A property of an equation the exists if independent variables are increased by a constant value, then the dependent variable is increased by the value raised to the power of n. The value of n can be greater than, less than, or equal to one. This property often surfaces in the analysis of production functions. If n = 1, then a doubling independent variables results in a doubling of the dependent variable and the production function has constant returns to scale. If n > 1, then a doubling independent variables results in more than a doubling of the dependent variable and the production function has increasing returns to scale. If n < 1, then a doubling independent variables results in less than a doubling of the dependent variable and the production function has decreasing returns to scale.
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TWOSECTOR INJECTIONSLEAKAGES MODEL: A variation of the Keynesian injectionsleakages model that includes the two private sectors, the household sector and the business sector. This variation, often termed the savinginvestment model or private sector injectionsleakages model, captures the interaction between induced saving (and indirectly induced consumption expenditures) and autonomous investment expenditures. This model provides an alternative to the twosector aggregate expenditures (Keynesian cross) analysis of the macroeconomy, including equilibrium, disequilibrium, and the multiplier. Equilibrium is identified as the intersection between the saving line and the investment line. Two related variations are the threesector injectionsleakages model and the foursector injectionsleakages model. The twosector injectionsleakages model provides an alternative to the more common twosector Keynesian model; the Keynesian cross, aggregate expendituresaggregate production model of the macroeconomy. Both models provide essentially the same analysis and are essentially "two sides of the same coin." The key difference between the two models is that consumption is explicitly eliminated from the injectionsleakages variation. Whereas the Keynesian cross builds on the consumption function, the injectionsleakages model builds on the saving function.Two SectorsThe two sectors included in this twosector injectionsleakages model are the household sector and the business sector. Household Sector: The household sector includes everyone in an economy who consumes goods and services. It is the entire population of an economy. The household sector is responsible for consumption expenditures on gross domestic product.
 Business Sector: The business sector contains the private, profitseeking firms in the economy that combine scarce resources into the production of wantsandneeds satisfying goods and services. The business sector is responsible for investment expenditures on gross domestic product.
Injections and LeakagesOne half of the injectionsleakages model is injections, which are nonconsumption expenditures on aggregate production. The three injections are investment expenditures, government purchases, and exports. These are termed injections because they are "injected" into the core circular flow of consumption, production, and income. In the twosector injectionsleakages model, investment expenditures are the only injection included.The other half of the injectionsleakages model is leakages, which are nonconsumption uses of the income generated from production. The three leakages are saving, taxes, and imports. These are termed leakages because they are "leaked" out of the core circular flow of consumption, production, and income. In the twosector injectionsleakages model, saving is the only leakage included. Equilibrium in the injectionsleakages model relies on a balance between the injections into the core circular flow and leakages out of the flow. If leakages match injections, then the volume of the core circular flow does not change. This is the same as achieving a balance between the water flowing from a faucet into a sink and that flowing out through the drain. When these two flows are equal, then the total amount of water IN the sink does not change. Equilibrium! In the twosector injectionsleakages model, equilibrium is identified as a balance or equality between saving and investment expenditures. The InjectionsLeakages BalanceA balance between injections and leakages generates the same equilibrium as a balance between aggregate expenditures and aggregate production. A little manipulation of the Y = AE equilibrium condition illustrates why. For the twosector analysis, aggregate expenditures (AE) are the sum of consumption (C) and investment (I).
AE = C + I
 In the twosector analysis, the income generated by aggregate production (Y) is used by the household sector for consumption (C) and saving (S).
Y = C + S
 Substituting each of these equations into the Y = AE equilibrium condition gives us:
C + S = C + I
 Because consumption (C) is on both sides, it cancels out.
S = I This last equation indicates that equilibrium can be achieved by equating injections I with leakages S. Most importantly, when aggregate expenditures equal aggregate production (Y = AE), then injections are necessarily equal to leakages S = I. This results indicates why twosector injectionsleakages model is also termed the savinginvestment model. This version of the injectionsleakages model has its foundation in classical economics, particularly the key classical assumption that saving is equal to investment. The Graphical ModelThe InjectionsLeakages Model 

 The exhibit to the right can be used to present the twosector injectionsleakages model. As it currently stands, this exhibit is blank, except for the horizontal axis, which measures aggregate production, and the vertical axis, which measures the assorted injections. To move from this largely blank diagram we need to add leakages (saving) and injections (investment expenditures).A click of the [Leakages] button displays the leakages line, which is comprised exclusively of saving. The slope of this saving line is positive and equal to the marginal propensity to save. The vertical intercept of the saving line is negative, indicating that autonomous saving is negative. A click of the [Injections] button displays the injections line, which is based entirely on investment expenditures. To keep the analysis simple, investment expenditures are assumed to be autonomous, as indicated by the horizontal investment line. Induced investment would give the injections line a slight positive slope, but it would not affect the basic conclusions reached. With the saving and investment lines in place, the next step is to identify equilibrium. Because we are dealing only with two sectors  household and business  this injectionsleakages model achieves equilibrium with equality between saving and investment. Equilibrium is found at the intersection of the saving line and the investment line. Click the [Equilibrium] button to highlight this point and the corresponding $12 trillion level of aggregate production. What key conclusions can be derived from this analysis.  First, saving is equal to investment, and leakages are equal to injections. As such, the total volume of the circular flow does not change.
 Second, if saving is not equal to investment, then the volume of the circular flow, especially aggregate production, changes. If saving exceeds investment, aggregate production declines. If investment exceeds saving, aggregate production rises.
 Third, the difference between saving and investment is unplanned inventory changes. If saving equals investment, then inventories don't change. If saving exceeds investment, inventories increase. If investment exceeds saving, inventories decrease.
Two Other VariationsThe twosector injectionsleakages model is one of three variations, each based on a different combination of the four macroeconomic sectors, and thus a different number of injections and leakages. ThreeSector Model: One variation of the injectionsleakages model adds the government sector (or public sector) to the household and business sectors contained in the twosector model. This variation is used to analyze government stabilization policies, especially how fiscal policy changes in government purchases and taxes can be used to close recessionary gaps and inflationary gaps. Saving and taxes are the two leakages. Investment and government purchases are the two injections.
 FourSector Model: As the name suggests, all four macroeconomic sectorshousehold, business, government, and foreignare included in the foursector model. This model is not only used to capture the interaction between the domestic economy and the foreign sector, but also provides the foundation for detailed, empirically estimated models of the macroeconomy. Saving, taxes, and imports are the three leakages. Investment, government purchases, and exports are the three injections.
Recommended Citation:TWOSECTOR INJECTIONSLEAKAGES MODEL, AmosWEB Encyclonomic WEB*pedia, http://www.AmosWEB.com, AmosWEB LLC, 20002023. [Accessed: June 4, 2023]. Check Out These Related Terms...           Or For A Little Background...                  And For Further Study...              Related Websites (Will Open in New Window)...  
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