In: Economics
Derive the AD fn from the AE fn and explain the differences/similarities between the two.
The answer of the following question is given below as follows ;
Before starting the main question let's discuss about the Aggregate demand and the aggregate demand curve as follows:.
Aggregate demand is an economization of the demand for the total quantity of all finished goods and services produced in an economy. Gross demand is expressed as the total money exchanged for those goods and services at a specified price and time level. In macroeconomics, the focus is on the supply and demand for all goods and services produced by an economy. Consequently, the demand for all individual goods and services is also combined and is called aggregate demand.
Aggregate demand curve :The gross demand curve represents the total quantity of all goods (and services) demanded by the economy at different price levels. Below is a graphical representation of the aggregate demand curve.
Some Reason for a downward sloping aggregate demand curve as follows :
Wealth effect: The aggregate demand curve is drawn under the assumption that the government keeps the money supply constant. The money supply can be thought of as representing the wealth of the economy at any given time. As the price level increases, the wealth of the economy, measured by the supply of money, decreases in value because the purchasing power of money decreases. As buyers get poorer, they reduce their purchases of all goods and services. On the other hand, as the price level falls, the purchasing power of money increases. Buyers get richer and can buy more goods and services than before.
Interest rate effect: As the price level increases, households and businesses require more money to handle their transactions. However, the money supply is fixed. Increasing demand for a fixed supply of money causes the price of money, the interest rate, to rise. As the interest rate increases, the expense that is sensitive to the interest rate will decrease. Therefore, the interest rate effect provides another reason for the inverse relationship between the price level and the demand for real GDP.
Effect of net exports: As the domestic price level increases, foreign-made goods become relatively cheaper, so the demand for imports increases. However, the increase in the domestic price level also means that domestically made products are relatively more expensive for foreign buyers, thus the demand for exports decreases. When exports decrease and imports increase, net exports (exports - imports) decrease. Since net exports are a component of real GDP, the demand for real GDP decreases as net exports decrease.
ADDED EXPENDITURE
Aggregate Expenditure (AE) is the total desired or planned expenditure on goods and services in the economy, that is: AE = C + I + G + NX. Using the spending approach, we have seen that GDP was equal to: Y = C + I + G + NX. GDP is equal to real spending on domestically produced goods and services. Therefore, real spending on domestically produced goods and services equals income (Y) since GDP equals income of course. The aggregate spending function indicates the desired spending level at each income level (Y).
The aggregate expenditure function is an increasing function of
Y. Therefore, there must be a level of income where the desired
aggregate expenditure (EA) equals the actual aggregate expenditure
(GDP = Y). This income level in which Y = AE is the equilibrium
level of production or income (Y *) At Y * the goods market is in
equilibrium. If Y ≠ AE, then the economy is not in equilibrium. If
Y> AE excess supply in the goods market. If Y Aggregate spending and aggregate demand are macroeconomic
concepts that estimate two variants of the same value: national
income. In the subspecialty considered national income accounting, the
market value of all products and services is added to estimate
gross national income, the aggregate wealth produced by the
country. Both aggregate spending and aggregate demand take consumption,
investment, government outlays, and net factor income from abroad
as basic components of economic demand. When the economy is in
equilibrium, the levels of consumer spending, investment,
government outlays, and net factor income from abroad equal the
total effective demand and, therefore, the value of all goods and
services supplied by the economy. Although both AE and AD are calculated by the sum of the same
variable- spending expenditure, government expenditure, investment
expenditure and net exports, there are some basic differences is
given below as follows : I) AE shows the relationship between total spending in the
economy (dependent on income) and the level of real GDP that keeps
the price level constant. Of all the components of AE, consumption
expenditure is the only one that depends on income. So, a change in
income causes a movement along the AE curve. II) AD shows the relationship between price and real GDP levels,
keeping everything else, including income constant. So, there is a
movement along the curve when the price level changes. POINTS TO BE REMEMBERED : When the price level changes, there is a movement along the AD
curve but there is a left or right shift in the AE curve So When the income level changes, there is a movement along the
AE curve but a left or right shift in the AD curve. AD is the demand for all goods and services in the market at
different price levels (or other curve shifters). Similarly, AE is
the total expenditure in a market. But this time, we can use the
definition to calculate it GDP. AD, how much demand people have in
market demands (or buying goods) and services. On the other hand,
how much does AE actually cost. We can use the total expenditure model to obtain more
information in the overall expenditure curve. In this section we
will see how to derive the aggregate demand curve from the
aggregate expenditure model. We will also see how to apply the
analysis of multiplier effects in the aggregate expenditure model
to the aggregate demand – aggregate supply model. A total spending curve assumes a fixed price level. If the price
level were to change, consumption levels, investment, and net
exports would all change, leading to a new total expenditure curve
and a new equilibrium solution in the total expenditure model. Panel (a) "Aggregate Expenditure to Aggregate Demand" shows
three possible total expenditure curves for three different price
levels. For example, the total spending expenditure curve called
AEP = 1.0 is the total spending curve for an economy with a price
level of 1.0. Since the aggregate spending curve crosses the
45-degree line of $ 6,000 billion, the equilibrium real GDP at that
price level is $ 6,000 billion. At the lower price level, the total
expenditure will increase due to wealth effect, interest rate
effect and international trade effect. Suppose that at every level
of real GDP, a decrease in the price level of 0.5 would increase
the total expenditure from $ 2,000 billion to AEP = 0.5, and an
increase in the price level from 1.0 to 1.5 would increase the
total expenditure to $ 2,000 billion. Will decrease. The total
expenditure curve for the price level of 1.5 is shown as AEP = 1.5.
There is a different aggregate spending curve for each of these
three price levels, and the equilibrium is a different level of
real GDP. A price level of 1.5 produces equilibrium at point A, a
price level of 1.0 does so at point B, and a price level of 0.5
does so at point C. Typically, the equilibrium will have a
different level of real GDP for each price. Level; The higher the
price level, the lower the equilibrium price of real GDP. This is Because of the reason that there is a different
aggregate spending curve for each price level, real GDP has a
different balance for each price level. Panel (a) shows the total
expenditure curves for the three different price levels. Panel (b)
shows that the aggregate demand curve, which reflects the quantity
of goods and services sought at each price level, can thus be
derived from the total expenditure model. Overall the curve for the
price level of 1.0 incurs, for example, the 45-degree line in panel
(A) at point B, producing an actual equilibrium of $ 6,000 billion.
Thus we can plot point B B on the overall demand curve in panel
(b), indicating that at the price level of 1.0, there is a real GDP
demand of $ 6,000 billion. Panel (b) shows "Aggregate demand from aggregate demand" shows
how aggregate demand curves can be derived from aggregate
expenditure curves for different price levels. In the aggregate
expenditure model, equilibrium real GDP associated with each price
level is plotted as a point reflecting the price level and quantity
of goods and services demanded (measured as real GDP). At a price
level of 1.0, for example, the equilibrium level of real GDP in the
total expenditure model in panel (a) is $ 6,000 billion at point b.
This means that there is a demand for goods and services worth $
6,000 billion; Point B on the aggregate demand curve in panel (b)
corresponds to real GDP with a demand of $ 6,000 billion and a
price level of 1.0. The demand for equilibrium GDP at the price
level of 0.5 is $ 10,000 billion at point C ', and the actual GDP
demand level at equilibrium level of 1.5 is $ 2,000 billion at
point A.' Thus the aggregate demand curve shows the equilibrium
real GDP from the total expenditure model at each price level. The lowest price level, P1, corresponds to the highest AE curve,
AEP = P1, as shown. This indicates a downward sloping aggregate
demand curve. The points A, B and C on the AEcurve correspond to
the points A ′, B ′, and C AD on the AD curve, respectively.