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Macroeconomics & The Global Economy -Term IIIAce Institute of Management
Chapter 10: Keynesian Model and ISLM curves
(Based on Macroeconomic Analysis: Edward Shapiro- (Based on Macroeconomic Analysis: Edward Shapiro- Chap. 8,9,12 and Macroeconomics by N. G. Mankiw)Chap. 8,9,12 and Macroeconomics by N. G. Mankiw)
Instructor
Sandeep Basnyat
[email protected] Mobile: 9841 892281
Classical approach-a Classical approach-a reminderreminder Stable equilibrium in all sectors through market
mechanism The interaction between demand and supply forces in a
long run.
Even wage rate and prices moves both ways – upward and downward – adjusting with the change in demand and supply in an economy.
No economy would suffer from over production, as supply will automatically create its own demand.
No government intervention
Theories didn’t work with the Great Depression of 1930s
The great Depression The great Depression of 1930sof 1930s
Very High Production after WW1
Decrease in price of goods
and services Oversaw actual economic demand
Number of Industries suffered
Didn’t increase demand
High unemployment
Mass layoff
Huge Wage cut
UnderProduction /
GDP fell
Didn’t improve employment
Could not stimulate Demand
Big question- Why was economy sluggish?Big question- Why was economy sluggish?
Evolution of Keynesian Evolution of Keynesian Theory Theory
British Economist John Maynard Keynes British Economist John Maynard Keynes analyzed economic issues in a different analyzed economic issues in a different way through his world famous book – way through his world famous book – A A General Theory of Employment, Interest General Theory of Employment, Interest and Moneyand Money
Basic Concepts:Basic Concepts:Effective demand Effective demand Aggregate Demand and Aggregate Demand and Aggregate SupplyAggregate Supply
Keynesian MacroeconomicsKeynesian Macroeconomics His arguments were: His arguments were:
Due to the presence of strong labor union wage cut is not Due to the presence of strong labor union wage cut is not possible. Therefore possible. Therefore Wage is sticky downwards and flexible Wage is sticky downwards and flexible upwardsupwards
Economy, thus, does not operate at full employment levelEconomy, thus, does not operate at full employment level , , but at less than full employment level. but at less than full employment level.
The great Depression The great Depression of 1930sof 1930s
Very High Production after WW1
Decrease in price of goods
and services Oversaw actual economic demand
Number of Industries suffered
Didn’t increase demand
High unemployment
Mass layoff
Huge Wage cut
UnderProduction /
GDP fell
Didn’t improve employment
Could not stimulate Demand
Big question- Why was economy sluggish?Big question- Why was economy sluggish?
Keynesian MacroeconomicsKeynesian Macroeconomics His arguments were: His arguments were:
Due to the presence of strong labor union wage cut is not Due to the presence of strong labor union wage cut is not possible. Therefore Wage is sticky downwards and flexible possible. Therefore Wage is sticky downwards and flexible upwardsupwards
Economy, thus, does not operate at full employment level, but at Economy, thus, does not operate at full employment level, but at less than full employment level. less than full employment level.
Role of government is crucial because its policy decisions Role of government is crucial because its policy decisions can affect level of aggregate demandcan affect level of aggregate demand, which in turn affects , which in turn affects economic growth, employment and general price leveleconomic growth, employment and general price level
J.M. Keynes: Equilibrium in the EconomyJ.M. Keynes: Equilibrium in the Economy
For equilibrium, Planned Exp. = Actual Exp.
Planned Exp. Comes from Aggregate Demand (AD) where as Actual Exp. Comes from Aggregate Supply (AS) or National Income (Y)
Therefore, AD = Y or,
For Eg: Two sector equilibrium: C+I =Y
The equilibrium is known as Keynesian CrossThe equilibrium is known as Keynesian Cross
Case 1: Y > C + I -> (Actual investment > planned investment)
Case 2: C + I > Y -> (Actual investment < planned investment)
Note: Investment is an expenditure on expected demand
Components of Aggregate DemandComponents of Aggregate Demand
There are four types of demands in an economy Consumption Demand (C) Investment Demand (I) Demand for Government Expenditure (G) Demand for Foreign Trade (X-M)
Reminder,. Y = C +S where,
C = f (Yd) and S = f (Yd)
Marginal Propensity to Consume (mpc): The portion of any increase in disposable income that goes towards consumer spending.
Marginal Propensity to Save (mps): The portion of any increase in disposable income that is saved.
Consumption Consumption Demand (C)Demand (C)
Change in Consumption Expenditure Change in Disposable Income
= ∆C / ∆Yd
Change in Savings Change in Disposable Income
= ∆S / ∆Yd
mpc =
mps =
If, mpc + mps = 1, then mpc = 1- mps;
Consumption function and equationConsumption function and equation Mathematically, C = Ca + bY….consumption equation
Consumption demand has two components - autonomous consumption and induced consumption that is dependant on income and mpc.
Autonomous consumption are those spent mostly on sustenance and are independent of level of income.
Induced consumption depends on the level of income, mostly on comfort and luxurious goods Ca is the autonomous consumption, b is mpc and Y is the
total income (or total output of the economy).
Consumption Demand (continued ….)Consumption Demand (continued ….)
With the help of consumption equation we can construct With the help of consumption equation we can construct hypothetical income-consumption schedulehypothetical income-consumption schedule
Let CLet Caa=50, b = 0.75). Using=50, b = 0.75). Using, , C = Ca + bY
Income (Y)Income (Y) Consumption (C) Consumption (C) 00 5050100100 125125200200 200200300300 275275400400 350350
Y
C
Consumption demand
The functional relationship between Income and Consumption demand is the consumption function as drawn before.
Consumption FunctionConsumption Function Y - C = SAGGREGATE
INCOME(Billions of
Dollars)
AGGREGATE CONSUMPTION
(Billions of Dollars)
AGGREGATE SAVING
(Billions of Dollars)
0 100 -100
80 160 -80
100 175 -75
200 250 -50
400 400 0
600 550 50
800 700 100
1,000 850 150
Investment Demand (I)Investment Demand (I)
Spending by businesses on capital goods—factories, machinery, and other aids to production.
2 influences on the economy: Helps determine the economy’s level of total output and total
employment Critical determinant of the economy’s rate of growth as it
enlarges the economy’s stock of capital goods and thereby helps increase the economy’s capacity to produce goods and services
There are 3 forms of investment. Business Fixed Investment Residential Fixed Investment and Inventory Investment.
Investment Demand contd..Investment Demand contd..
Mathematically, I = Ia + eY e is the marginal propensity to invest and Ia is the autonomous
investment
As similar to consumption demand, investment demand can also be autonomous and/or induced
Autonomous investment are carried out to maintain the basic growth requirement. This is independent of level of income.
Induced investment depends on income level
Equilibrium Aggregate Output Equilibrium Aggregate Output (Income)(Income)
(All Figures in Billions of Dollars)
(1) (2) (3) (4) (5) (6)
AGGREGATEOUTPUT
(INCOME) (Y)
AGGREGATECONSUMPTION (C= 100+.75Y)
PLANNEDINVESTMENT (I)
PLANNEDAGGREGATE
EXPENDITURE (AE)C + I
UNPLANNED
INVENTORYCHANGEY (C + I)
EQUILIBRIUM?(Y = AE?)
100 175 25 200 100 No
200 250 25 275 75 No
400 400 25 425 25 No
500 475 25 500 0 Yes
600 550 25 575 + 25 No
800 700 25 725 + 75 No
1,000 850 25 875 + 125 No
Effect of Change in spendingEffect of Change in spending
I
Y
C+I
C+I+I
Y=ADAD, C, I
Y
E1
Y1
E
Y Y2
Y > I
Note: Small changes in spending are magnified into larger changes in income and output—the multiplier effect.
Initial equilibrium
Final equilibrium
The MultiplierThe Multiplier The ratio of change in total output to the change in total spending.
YIMathematically,
When initial earning of Rs. 10,000 produces total output of Rs. 50,000, the multiplier is 5 . Assume that mpc is .80, i.e., people spend 80% of the earnings. Initial earning of Rs. 10,000 incur initial spending of Rs. 8000 Since this Rs. 8000 is earning for someone else, the overall economy’s
output increases by Rs. 8000. Now, Rs. 8000 incur further spending of Rs. 6400 as mpc = 0.8 Now the economy’s total output is 10000+8000+6400+…= 50,000.
Multiplier depends on the value of marginal propensity to consume
(b) .
The The MultiplierMultiplier
How much is the How much is the multiplier here?multiplier here?
The Multiplier Equation-Two SectorsThe Multiplier Equation-Two Sectors
Households and Business firms only.
Assume a small increase in overall income of an economy Increase in income will form a part of consumption and investment.
Y = C + I. Dividing both sides by Y, we get
Y C I
Y Y Yor,
C I1
Y Y== + + Y
or, I
= 1- YC
= -1 mpc
or, IY
=1 mpc-
1 IYSince is the Multiplier by definition,
Multiplier (k) =mpc-1
1=
1
1 b-Since, mps (s) = 1-b
Multiplier (k) = 1s =
1
b-1
Finding equilibrium in 2 sector economyFinding equilibrium in 2 sector economy
For equilibrium, Y = C+I
Let us assume that all investment is autonomous,
So, I = Ia (Remember I = Ia + eY)
Then, Y = Ca + bY + Ia
or Y – bY = Ca + Ia
or (1-b)Y = Ca + Ia
or Y = [1/(1-b)](Ca + Ia)
Hence, equilibrium output is [1/(1-b)] (Ca + Ia)
As, [1/(1-b)] is the multiplier and is denoted by k, equilibrium output will be Y = k (CY = k (Caa + I + Iaa))
Effect of Change in InvestmentEffect of Change in Investment
What happens if there is an increase in investment?
Let I be increased by I. This will subsequently increase the output by Y
New investment will be I +I and corresponding output will be Y +Y
Hence, Y+ Y = k (Ca + Ia+I)
or Y = k (Ca + Ia) + kI – Y = Y + kI – Y Y = k I
This shows that an increase in investment by I will increase the output by k I.
Basic Keynesian Model-3 sectors Basic Keynesian Model-3 sectors economyeconomy The aggregate demand of an economy will be total
demand created by three sectors namely, household, business and government.
Government spending (G): purchases of goods and services by government
Cases:
What happens to equilibrium when government uses its fiscal policies?
Note:
Increase in ‘G’ increases total output
Increase in Revenue through tax decreases total output
Works with Multiplier effect
Government In The Economy-Government In The Economy-EquilibriumEquilibrium
Fiscal Policy At Work: Multiplier Fiscal Policy At Work: Multiplier Effects: Effects: Case 1 – No tax modelCase 1 – No tax model
Y = AD = C + I + G
As stated earlier, C = Ca + bY,
For a simplest analysis of three-sector Keynesian Model we assume Investment demand as autonomous and Government Expenditures are constant. Thus, I = Ia and G is constant
Equation (iii) can now be written as
Y = Ca + bY + Ia + G
or Y-bY = Ca + Ia + G
or (1-b)Y = Ca + Ia+ G
or Y = 1/1-b(Ca + Ia+ G)
Here, value of simple multiplier in a three sector Economy is 1/1-b.
Fiscal Policy At Work: Multiplier Effects: Fiscal Policy At Work: Multiplier Effects: Case 1 – ‘G’ Increases (but No Tax) modelCase 1 – ‘G’ Increases (but No Tax) model
Multiplier Effects: Case 2 – Tax imposed Multiplier Effects: Case 2 – Tax imposed by the govt.by the govt.
When tax is imposed, the disposable income of a consumer decreases by Y-T.
C = Ca + bY= Ca + b(Y-T)
Assume, I = Ia and G is constant
Y = Ca + b(Y-T) + Ia + G
or Y – bY = Ca + Ia + G – bT
or (1-b)Y = Ca + Ia + G – bT
or Y = 1/1-b(Ca + Ia + G – bT)
Keynesian Economics-Four Sector Keynesian Economics-Four Sector (Open) Economy(Open) Economy
Export and Import are included in a four sector economy.
Exports depend on the income of foreigners and therefore it is exogenously determined in the home country.
Import on the other hand is a function of level of income.
Import is given by M = Ma + mY Ma = Autonomous Import and mY = Induced Import
Four Sector Economy- Case 1: Simple Four Sector Economy- Case 1: Simple Keynesian model including the external Keynesian model including the external sectorsector Y = AD = C + I + G + (X-M)
Where C = Ca + bY and M = Ma + mY
I is autonomous and G and X are exogenously determined
Now, putting these values in Y,
Y = Ca + bY + I + G + X – Ma – mY
or Y – bY + mY = Ca + I + G + X – Ma
or (1-b+m)Y = Ca + I + G + X – Ma
or Y = (1/1-b+m)(Ca + I + G + X – Ma)
So, Equilibrium Output:
Y = (1/1-b+m)(Ca + I + G + X – Ma)
Value of Multiplier: 1/1-b+m
Keyne’s explanation on-The Keyne’s explanation on-The Recessionary and Inflationary Recessionary and Inflationary
S = National Saving
I = National Investment
S – I = Saving investment gap
If S > I, National Surplus
Govt. can utilize the surplus if, G > T. How much,
G-T = Expenditure revenue gap
For an economy to be in equilibrium,
S – I = G-T
The Recessionary and Inflationary The Recessionary and Inflationary GapsGaps
(C + I)1 = economy’s total expenditure function and existing level of equilibrium GDP
(C + I)2 = full-employment output—the level of output that allows to achieve target rate of unemployment.
Recessionary Situation—a period of weak economic activity and relatively high unemployment.
Recessionary Gap =The amount by which the equilibrium GDP falls short of full-employment, or potential, GDP
Causes a recession? Keynes: too little spending. (G-T < S-I)
Solution: Increase level of planned expenditure (Remember 1930s case?)
(C+I)1
e
Y
Actual Equilibrium
Y1
(C+I)2
e1
Desired Equilibrium at Full Employment
Reduction in output
The Recessionary GapThe Recessionary Gap
Recessionary Gap
Two Gaps Model-Two Gaps Model-The Recessionary and The Recessionary and Inflationary GapsInflationary Gaps
(C + I)1 = economy’s planned expenditure function and existing level of equilibrium GDP
(C + I)2 = full-employment output—the level of output that allows to achieve target rate of unemployment.
If the economy is operating in full employment level, the economy cannot provide more than Y1 level of goods and services.
If consumers and investors attempt to purchase more output than the economy is capable of producing, higher prices result as prospective buyers bid against one another.
But Real GDP will not increase. Only money GDP
Inflationary Gap =The amount by which the equilibrium GDP exceeds full-employment, or potential, GDP (G-T > S-I)
Solution: Decrease level of planned expenditure.
(C+I)2e
Y
Actual Equilibrium
Y1
(C+I)1
e1
Desired Equilibrium at Full Employment
Increase in potential GDP
The Inflationary GapThe Inflationary Gap
Inflationary Gap
Paradox of thriftParadox of thrift
Where higher savings become disincentive in an economy when it leads to reduction in national output.
Shift of savings curve towards left results a shift in equilibrium point
Given an unchanged Investment curve, the shift in savings curve towards left decreases output subsequently from “Y” to “Y1”.
Thriftiness (increased desire to save) without support from other economic variables can have undesired consequences
S
I
Y
S1
Y1
One Big Question !How would the market be in
equilibrium?
• Develop Goods market and money market
• Check how goods market and money market interact to determine the level of output and the interest rate.
The Goods Market and the Money The Goods Market and the Money MarketMarket
Goods market: in which goods and services are exchanged Equilibrium level of price of a product is determined by the demand and the supply of the product
Money market : The market in which financial instruments are exchanged Equilibrium level of the interest rate is determined by the supply of money and the demand for money
In two sector economy, equilibrium level of goods market is given by Y = C + I (Keynes)
Similarly, We know, Y = C+S.
So, C + I = C + S or S = I
Therefore, in two sector economy, goods market is also in equilibrium if S = I (financial market)
The Goods Market EquilibriumThe Goods Market Equilibrium
How will the Goods Market be in equilibrium?How will the Goods Market be in equilibrium?
We know that,
Savings is the positive function of Income
S = f(Y)
Investment is the inverse function of rate of interest
I = f(r);
The Goods Market EquilibriumThe Goods Market Equilibrium
Goods Market DisequilibriumGoods Market Disequilibrium
Y
r
IS
E F. .7
.
60
Disequilibrium Point
.
S > I Y > C + I
S > I Y > C + I
G
I > S C + I > Y
8
100
Keyne’s 3 Determinants of Demand for money:
Transaction Demand
Precautionary Demand
Speculative Demand
1. Transaction Demand: The main reason that people hold money—to buy things. As the income level increases people want to spend more
money. So, Transaction Demand is the direct function of Income.
DT = f (Y)
Money Market EquilibriumMoney Market Equilibrium
MD = MS
Money Market EquilibriumMoney Market Equilibrium
Precautionary Demand for Money
People hold money to meet emergencies and unexpected contingencies
As in the case of transaction demand, it is some fraction of total income and is positively related with the changes in money income
DP = f (Y)
Note: In most of cases precautionary demand is combined with transaction demand.
Money Market EquilibriumMoney Market Equilibrium
Speculative Demand for Money Speculative demand for Money refers to demand for holding
certain amount of cash in reserve to make speculative gain out of purchase and sale of bonds and securities.
The amount people prefer to maintain idle cash balance for speculative purpose depends on the rate of interest in the economy
There is an inverse relationship between speculative demand for money and rate of interest
DSP = f (r)Now Total Money Demand, MD = DT + DSP
Supply of Money
Money Supply is exogenously determined – that is from outside this model
The central monetary authority fixes the level of nominal stock of money supply.
For equality in money market, Money Demand must be equal to Money supply
MD = MS
Money Market EquilibriumMoney Market Equilibrium
Now Total Money Supply, Ms = DT + DSP
Since, Total Money Demand, MD = DT + DSP
If the interest rate is initially high enough to create an excess supply of money, the interest rate will immediately fall, discouraging people from moving out of money and into bonds.
If the interest rate is initially low enough to create an excess demand for money, the interest rate will immediately rise, discouraging people from moving out of bondsand into money.
Money Market Equilibrium-Liquidity Money Market Equilibrium-Liquidity Preference TheoryPreference TheoryThe money market is in equilibrium when Md = Ms
The equilibrium interest rate is the point at which the quantity of money supplied equals the quantity of money demanded.
Money Market EquilibriumMoney Market Equilibrium
DT
DSP
Y
r
DT
Y
DSP
r
MS = DT + DSP
DSP = f (r)
DT = f (Y)
LM curve
Speculative DemandMoney Market Equilibrium
Money SupplyTransaction Demand
6
$60Total Ms =$100
Assume Total Ms =$100
$40
$120
$120
6
Ms = Md
5
$50
$60
$50$50
$100
5
$100
An LM curve illustrates the positive relationship between the equilibrium value of the interest rate and aggregate output (income) (Y) in the money market.
High level of income calls for relatively large transaction balances, which, with a given supply of money can be drawn out of speculative balances only by pushing up the interest rates.
Y
r
LM
F
E
Money Market DisequilibriumMoney Market Disequilibrium
Ms > MdMd > Ms
4
5
6
100 120
For any combination located in the space to the right of the LM curve, there is a disequilibrium in which Md > Ms.
For any combination located in the space to the left of the LM curve, there is a disequilibrium in which Ms > Md.
Two Market Equilibrium-The Goods Two Market Equilibrium-The Goods and Money Marketsand Money Markets
Y
r
IS
LM
Ye
re
Two Market Equilibrium and Two Market Equilibrium and DisequilibriumDisequilibrium
Y
r
IS
LM
Ye
re S>I and MD>MS
S>I and MD<MS
I>S and MD<MS
I>S and MD>MS
A numerical example. Consider the economy of Nepal.
The consumption function is given by C = 250+0.75(Y-T). The investment function is I = 200-25r, where r is the interest rate. Government purchases and taxes are both 100. For this economy, find the IS equation.
The money demand function in Nepal is (M/P)d = Y -100r. The money supply Ms is 1,000 and the price level is 2. For this economy, find the LM equation.
Find the equilibrium interest rate and the equilibrium level of income. Assume that r =1 is equal to r =1%.
Suppose that the government purchases are raised from 100 to 150. How much does the IS curve shift? What are the new equilibrium interest rate and level of income?
With the initial values of monetary and fiscal policies, What are the new equilibrium interest rate and level of income when:
a) money supply doubles in the economy
b) price level rises from 2 to 4. What happens?
The consumption function is given by C = 250+0.75(Y-T). The investment function is I = 200-25r, where r is the interest rate. Government purchases and taxes are both 100. For this economy, find the IS equation.
Solution:
Consumption: C = 250 + 0.75(Y − T)
Investment: I = 200 − 25r
Balanced budget: T = G = 100
IS equation?
We know in three sector economy, the IS equation is
Y = C + I + G.
A numerical exampleA numerical example
The consumption function is given by C = 250+0.75(Y-T). The investment function is I = 200-25r, where r is the interest rate. Government purchases and taxes are both 100. For this economy, find the IS equation.
Solution:
Now substituting the value of C, I and G.
Y = 250 + 0.75(Y −T )+ 200 − 25r +100
or, Y = 250 + 0.75Y – 0.75T + 200 – 25r + 100
or, Y – 0.75Y = 550 – 0.75x100 - 25r
or, 0.25Y = 550 – 75 - 25r = 475 - 25r
or, Y = 1900 – 100r …………………(i)Y = 1900 – 100r …………………(i)
A numerical exampleA numerical example
A numerical example. Consider the economy of Nepal.
The consumption function is given by C = 250+0.75(Y-T). The investment function is I = 200-25r, where r is the interest rate. Government purchases and taxes are both 100. For this economy, find the IS equation.
The money demand function in Nepal is (M/P)d = Y -100r. The money supply Ms is 1,000 and the price level is 2. For this economy, find the LM equation.
Find the equilibrium interest rate and the equilibrium level of income. Assume that r =1 is equal to r =1%.
Suppose that the government purchases are raised from 100 to 150. How much does the IS curve shift? What are the new equilibrium interest rate and level of income?
With the initial values of monetary and fiscal policies, What are the new equilibrium interest rate and level of income when:
a) money supply doubles in the economy
b) price level rises from 2 to 4. What happens?
b) Solution:
The money demand function (M/P)d = Y -100r.
Money Supply (Ms) = 1000 and
Price Level (P) = 2
LM equation?
Money market equilibrium, Ms = Md
Substituting the value of Ms and Md,
1000 = Y −100r
Or,Y = 1000 + 100r Y = 1000 + 100r or …………..(2)…………..(2)
or, r = - 10 + 0.01Yr = - 10 + 0.01Y
A numerical exampleA numerical example
A numerical example. Consider the economy of Nepal.
The consumption function is given by C = 250+0.75(Y-T). The investment function is I = 200-25r, where r is the interest rate. Government purchases and taxes are both 100. For this economy, find the IS equation.
The money demand function in Nepal is (M/P)d = Y -100r. The money supply Ms is 1,000 and the price level is 2. For this economy, find the LM equation.
Find the equilibrium interest rate and the equilibrium level of income. Assume that r =1 is equal to r =1%.
Suppose that the government purchases are raised from 100 to 150. How much does the IS curve shift? What are the new equilibrium interest rate and level of income?
With the initial values of monetary and fiscal policies, What are the new equilibrium interest rate and level of income when:
a) money supply doubles in the economy
b) price level rises from 2 to 4. What happens?
Here,
IS Equation: Y = 1900 – 100r IS Equation: Y = 1900 – 100r and and
LM Equation: Y = 1000 + 100rLM Equation: Y = 1000 + 100r
Solving IS-LM Equation,
Therefore, Y = 1450Y = 1450
Substituting the value of Y in r
r = - 10 + 0.01Y = -10 + 0.01 x 1450 = -10 + 14.5 = 4.5
Therefore, r = 4.5%r = 4.5%
A numerical exampleA numerical example
A numerical example. Consider the economy of Nepal.
The consumption function is given by C = 250+0.75(Y-T). The investment function is I = 200-25r, where r is the interest rate. Government purchases and taxes are both 100. For this economy, find the IS equation.
The money demand function in Nepal is (M/P)d = Y -100r. The money supply Ms is 1,000 and the price level is 2. For this economy, find the LM equation.
Find the equilibrium interest rate and the equilibrium level of income. Assume that r =1 is equal to r =1%.
Suppose that the government purchases are raised from 100 to 150. How much does the IS curve shift? What are the new equilibrium interest rate and level of income?
With the initial values of monetary and fiscal policies, What are the new equilibrium interest rate and level of income when:
a) money supply doubles in the economy
b) price level rises from 2 to 4. What happens?
d) Given, Government purchases (G) raised
From 100 to 150. (no more balanced budget !)
Our original equation,
Y = C + I + G
Y = 250 + 0.75(Y − T) + 200 − 25r +150
Y -0.75 Y = 600 – 0.75T – 25r
0.25Y = 600 – 0.75 x 100 – 25r
0.25Y = 600 – 75 – 25r = 525 – 25r
Y = (525 – 25r) / 0.25 = 2100 – 100r
A numerical exampleA numerical example
Therefore new IS equation is
Y = 2100 – 100rY = 2100 – 100r
LM curve remains the same:
Y = 1000 + 100rY = 1000 + 100r
Solving above equations,
Therefore, Y = 1550Y = 1550
Substituting the value of Y in above equation
1550 = 2100 – 100r => r = (1550 – 2100) / -100
r = -550 / -100 = 5.5
Therefore, r = 5.5%r = 5.5%
A numerical exampleA numerical example
Conclusion: When Aggregate demand increases (increase in C, I or G), interest rate increases and Total Output (Y) increases.
A numerical example. Consider the economy of Nepal.
The consumption function is given by C = 250+0.75(Y-T). The investment function is I = 200-25r, where r is the interest rate. Government purchases and taxes are both 100. For this economy, find the IS equation.
The money demand function in Nepal is (M/P)d = Y -100r. The money supply Ms is 1,000 and the price level is 2. For this economy, find the LM equation.
Find the equilibrium interest rate and the equilibrium level of income. Assume that r =1 is equal to r =1%.
Suppose that the government purchases are raised from 100 to 150. How much does the IS curve shift? What are the new equilibrium interest rate and level of income?
With the initial values of monetary and fiscal policies, What are the new equilibrium interest rate and level of income when:
a) money supply doubles in the economy
b) price level rises from 2 to 4. What happens?
b) Given,
The money demand function (M/P)d = Y -100r.
Since Ms doubles Ms = 2000
Now New LM curve is,
2000 = Y -100r. New LM Equation is,
Y = 2000 + 100r
Solving new LM and old IS curve
r = 0.5%
Y = 2050
A numerical example-Ms doublesA numerical example-Ms doubles
Conclusion: When Money Supply increases, interest rate decreases and Total Output (Y) increases.
b) Given,
The money demand function (M/P)d = Y -100r.
Since (M/P) = Ms,
Any increase in “M” increases Ms and any increase in “P” decreases Ms.
When P = 2, Ms = 1000
So, when, P = 4, Ms = 500
Now, original equation becomes,
500 = Y -100r =>
New LM Equation is
Y = 500 + 100r or, r = -5 + 0.01Y
A numerical example-P increases A numerical example-P increases from 2 to 4from 2 to 4
Original IS equation remains the same:
Y = 1900 -100r
Solving original IS equation and New LM equation:
Therefore, Y = 1200
Substituting value of Y in r equation, r = -5 + 0.01 x 1200 = 7%
Therefore r = 7%
A numerical example-P increases A numerical example-P increases from 2 to 4from 2 to 4
A numerical example-A numerical example-Price Level changes-graphical presentationPrice Level changes-graphical presentation
LM
IS
4.5%
7%
14501200
r
Y
LM1
How do government policies affect the market?
Monetary policy
Fiscal Policy
IS and LM and Monetary-Fiscal Policies
Y
r
Keynesian Range
Intermediate Range
Classical Range
LM Curve
r1
r2
r3
r4
r5
Different policies have different effects on different ranges
Use of Fiscal and Monetary Policies
r1
Assume Very Low-Close to Zero
IS1
LM1 LM2r
YY1
IS2
Y2
Liquidity Trap- Central Bank’s liquidity can not increase further output
Keynesian Range- as observed by Keynes
Liquidity Trap- a situation when the nominal interest rate is close or equal to zero and the monetary authority is unable to stimulate the economy with traditional monetary policy tools (failure of monetary policy).
People do not expect high returns on physical or financial investments, so they keep assets in cash bank accounts.
Keynesian Range-Liquidity Trap Keynesian Range-Liquidity Trap SituationSituation
Use of Fiscal and Monetary Policies
r1
Assume Very High
IS1LM1 LM2r
YY1
IS2
Y2
Classical Range- as observed by classical theorists
Monetary and Fiscal Policy-The Monetary and Fiscal Policy-The Intermediate Range-Shift in Intermediate Range-Shift in ISIS curve curve
r1
LMr
Y2
IS2
Y3
IS’2
The more closer is the equilibrium towards Keynesian range, more effective the fiscal policy is.
r2
r3
Monetary and Fiscal Policy-The Intermediate Monetary and Fiscal Policy-The Intermediate Range-Shift in Range-Shift in LMLM curve. curve.
r1
LM1 LM2
r
Y
IS
Y1
The more closer is the equilibrium towards classical range, more effective the monetary policy is.
r2
Y2
Range
Policy
Keynesian Range
Intermediate Range
Classical Range
Fiscal Policy
Most Effective Effective Ineffective
Monetary Policy Ineffective Effective
Most Effective
Effectiveness of Monetary and Effectiveness of Monetary and Fiscal Policies-General Fiscal Policies-General ConclusionConclusion
Try it !
Money Demand: Md = Y (0.2-i) where i is the rate of interest and Y is the income. Nominal Income Y = 2000 and Money Supply (Ms) = 300 Find Md for i = 10 % (or 0.1) and i = 5 % (or
0.05) What is the relation between i and Y Graph Ms and Md and Calculate the
equilibrium i. Central bank increases the Money Supply by
50. What happens to money market equilibrium? (solve and graph)
Try it !
Find the simultaneous equilibrium for the goods and money market when C = 100 + 0.80Yd; I = 150 – 6i; T = 0.25Y; G = 100; Md = 0.2 Y-2i and Ms = 150.
Calculate equilibrium rate of interest and output if C = 100 + 0.8Y, I = 150 - 6i, M = 150 and L = 0.20Y – 4i
Thank You
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