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Consumption, Investment and the Multiplier: Chapter 9
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What is GDP? Gross Domestic Product (GDP)-Gross Domestic Product (GDP)- is the nation’s expenditure on all the final goods and services produced during the year at market price.
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How is GDP calculated? You learned one way to calculate GDP is by adding all of Nation’s expenditures. Another method used is the income approach (not discussed here).
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Nation’s Expenditures Consumption Investment Government Spending Net Exports C= GDPI +G + XnXnXnXn + This lecture will concentrate on Consumption
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Consumption Consumption is the nation’s expenditures on all final goods and services produced during the year at market prices –Consumption was almost $2 trillion dollars in 2002
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Consumption Americans spend over 95% of their income after taxes The total of everyone’s expenditures is called consumption Consumption is designated by the letter C
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C is the largest sector of GDP CC is just over two-thirds of GDP
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Consumption (Continued) The consumption functions states –As income rises, consumption (C) rises, but not as quickly Income = Consuption + Saving + taxes Y = C + S + t and, Disposible Income = Consuption + Saving Yd = C + S or, Yd = Y - t Therefore, consumption varies with disposable income (DI)
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Consumption and Disposable Income As Income rises so does Consumption NOT AS QUICKLY! NOT AS QUICKLY! BUT DIC DI increases... C increases but by a smaller amount DIC DI decreases... C decreases but by a smaller amount
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Two Ways To View Consumption- Income Relationship 1.As the ratio of total consumption to total disposable income. (APC) 2.As the relationship of changes in consumption to changes in disposable income. (MPC)
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The Marginal Propensity to Consume The marginal propensity to consume (MPC) is the fraction of each additional (marginal) dollar of disposable income spent on consumption.
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Marginal Propensity to Consume (MPC) MPC = in Consumption in Income CHANGE CHANGE
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Marginal Propensity to Consume (MPC) Table 4 Year DI C S 1998 $30000 $23000 $7000 1999 $40000 $31000 $9000
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Marginal Propensity to Consume (MPC) Table 4 (continued) Year DI C S 1998 $30000 $23000 $7000 1999 $40000 $31000 $9000 10000 8000 2000 Change
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Table 4 (Continued) Year DI C S 1998 $30000 $23000 $7000 1999 $40000 $31000 $9000 10000 8000 2000Change MPC =---------------- = ---------- = ------- =.8 Change in C 8000 8 Change in DI 10000 10
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Table 4 (Continued) Year DI C S 1998 $30000 $23000 $7000 1999 $40000 $31000 $9000 10000 8000 2000Change MPC =---------------- = ---------- = ------- =.8 Change in C 8000 8 Change in DI 10000 10 MPS = -------------- = ---------- = -------- =.2 Change in S 2000 2 Change in DI 10000 10 + 1.0
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The MPC and MPS MPS = 0.20MPC = 0.80
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45 $1000 $6000 ?
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Graphing the Consumption Function If Consumption rose at the same rate as Disposable Income... A graph of this function would be a 45 line Copyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved. Expenditure ($) Disposable Income ($)
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C $6000 5700 $6000 Saving = $300 $2700 $3000 Dissaving = $300 $2700 Saving = - $300
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C Dissaving Saving
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Graphing the Consumption Function Consumption is the vertical distance between the bottom (horizontal) axis and the “C” line. DI C S 3000 1750 Expenditure ($) Disposable Income ($)
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Graphing the Consumption Function DI C S 3000 1750 1250 Saving is the vertical distance between the “C” line and the 45 degree line Expenditure ($) Disposable Income ($)
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 Consumption is the vertical distance between the bottom (horizontal) axis and the “C” line.
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 Saving is the vertical distance between the “C” line and the 45 degree line Expenditure ($)
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 1000 1000 Consumption is the vertical distance between the bottom (horizontal) axis and the “C” line.
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 1000 1000 0 5-37 Saving is “0” at 1000 DI because there is NO distance between the C line and the 45 degree line.
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 1000 1000 0 0 625 Consumption is the vertical distance between the bottom (horizontal) axis and the “C” line.
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 1000 1000 0 0 625 When DI is “0” the level of Consumption is called Autonomous Consumption (AC)
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 1000 1000 0 0 625 -625 Saving is the vertical distance between the “C” line and the 45 degree line. Saving is negative to the left of where the C line crosses the 45 degree line
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Autonomous vs. Induced Autonomous means Self Governing
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Autonomous Consumption versus Induced Consumption Autonomous consumption (AC) is the level of consumption when disposable income is “0” –It is called autonomous because it is independent of change in disposable income
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Induced Consumption Induce consumption (IC) is that part of consumption which varies with the level of disposable income –As disposable income rises, induced income rises –As disposable income fall, induced income falls
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C = Autonomous C + Induced C So Induced C = C – Autonomous C
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C $0 This is your Autonomous Consumption
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 1000 1000 0 0 625 -625 DI = 0 What is IC? IC = C - AC IC = 625 - 625 IC = 0
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 1000 1000 0 0 625 -625 DI = 1000 What is IC? IC = C - AC IC = 1000 - 625 IC = 375
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 1000 1000 0 0 625 -625 DI = 2000 What is IC? IC = C - AC IC = 1440 - 625 IC = 815
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Graphing the Consumption Function DI C S 3000 1750 1250 2000 1440 560 1000 1000 0 0 625 -625 DI = 3000 What is IC? IC = C - AC IC = 1750 - 625 IC = 1125
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Determinants of Consumption 1.Disposable Income The most important determinant of consumption 2.Credit Availability 3.Stock of Liquid Assets in the hands of consumers 4.Stock of Durable Goods in the hands of consumers 5.Keeping up with the Jones's 6.Consumer Expectations
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Permanent Income Hypothesis (Milton Friedman) People gear their consumption to their expected lifetime average earnings more than to their current income –Apparently there are quite a few deviations from the behavior predicted by the permanent income hypothesis
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The Determinants of Saving There is no single reason why people save Some spend virtually all of their disposable income Some spend more than they earn Americans now save less than 5% of disposable income Americans used to save 7-10% of disposable income
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Investment
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Investment “Investment” is the thing that really makes our economy go and grow! Investment is any NEW –Plant and equipment Investment is any NEW –Additional inventory Investment is any NEW –Residential housing
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Inventory Investment Includes only net change Date Level of Inventory Jan. 1, 2003 $120 million July 1, 2003 145 million Dec. 31, 2003 130 million
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Inventory Investment Includes only net change Date Level of Inventory Jan. 1, 2003 $120 million July 1, 2003 145 million Dec. 31, 2003 130 million Started the year with $120 million Ended the year with 130 million The net change is a (+) 10 million
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Inventory Investment (Continued) Includes only net change Date Level of Inventory Jan. 1, 2003 $130 million July 1, 2003 145 million Dec. 31, 2003 120 million Started the year with $130 million Ended the year with 120 million The net change is a (-) 10 million
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Investment in Plant and Equipment Investment in plant and equipment is more stable than inventory –Even in bad years companies will still invest a substantial amount in new plant and equipment This is mainly because old and obsolete factories, office buildings, and machinery must be replaced –This is the depreciation part of investment
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Residential Construction Involves replacing old housing as well as adding to it Fluctuates considerably from year to year Has mortgage interest rates play a dominant role
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Investment Investment is the most volatile sector in our economy GDP = C + + G + Xn Fluctuations in GDP are largely fluctuations in investment I
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Investment (Continued) Recessions are touched off by declines in investment Recoveries are brought about by rising investment
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How Do Savings Get Invested? Money saved is put into stocks and bonds Banks loan money based on their demand deposits and reserve requirements Businesses take this money and buy new plant and equipment, and add to their inventory Corporations also use “retained earnings” and “depreciation allowances”
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Gross Investment vs Net Investment In the equation: GDP = C + I + G + Xn GDP = C + I + G + Xn “I”The “I” represent gross investment Gross investment - depreciation = net investment –Depreciation is taking into account for the fact that plant & equipment wear out and houses deteriorate
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Gross Investment - Depreciation = Net Investment –Depreciation is taking into account for the fact that plant & equipment wear out and houses deteriorate. –start the year with 10 machines –bought 6 machines (gross investment) –worn out/obsolete - 4 machines (depreciation) –end the year with 12 machines –actual gain of 2 machines (net investment)
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Calculate Gross Investment and Net Investment Date level of inventory Jan 1 $60 billion July 1 55 billion Dec 31 70 billion Expenditures on new plant & equipment $120 billion $120 billion Expenditures on new residential housing $ 90 billion $ 90 billion Depreciation on plant & equipment and residential housing $30 billion 6-27
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Solution Date level of inventory Jan1 $60 billion July 1 55 billion Dec 31 70 billion inventory investment $ 10 Expenditures on new plant & equipment new P & E 120 $120 billion new RH 90 Expenditures on new residential housing gross investment 220 $ 90 billion - depreciation - 30 Depreciation on plant & equipment and net investment $ 190 Residential housing $30 billion
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Building Capital Investment involves sacrifice (on someone’s part) To invest –We must work more –We must consume less (save)
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Determinants of the Level of Investment Sales outlook Capacity utilization rate Interest rate Expected rate of profit (ERP)
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The Sales Outlook You won’t invest if the sales outlook is bad –If sales are expected to be strong the next few months the business is probably willing to add inventory –If sales outlook is good for the next few years, firms will probably purchase new plant and equipment
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Capacity Utilization Rate This is the percent of plant and equipment that is actually being used at any given time You won’t invest if you have a lot of unused capacity –During recessions, why build more when you are not using all of what you have Other factors –Manufacturing is a shrinking part of U.S. economy due to imports and increasing investment overseas by U.S. Companies
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The Interest Rate You won’t invest if interest rates are too high Interest rate = The interest paid / The amount borrowed Assume you borrow $1000 for one year @ 12 %, how much interest do you pay?.12 = X $1000 X = $120
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The Interest Rate You won’t invest if interest rates are too high Interest rate = The interest paid / The amount borrowed X = $120 $1000 X =.12 = 12 % Assume you borrowed $1000 for one year and paid $120 interest. What was the interest rate?
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You Won’t Invest If Interest Rates Are Too High In general, the lower the interest rate, the more business firms will borrow To know how much they will borrow and whether they will borrow, you need to compare the interest rate with the expected rate of profit Even if they are investing their own money they need to make this comparison
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Why Do Firms Invest? Firm’s will only invest if the expected profit rate is “high enough” Firms invest when –Their sales outlook is good –Their capacity utilization rate is high –Their expected profit rate is high Even if firm’s invest their own money, the interest rate is still a consideration
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45 $1000 $6000 ?
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C C+I This Distance Equals GrossInvestment
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Graphing the C + I Line To keep things simple so we can read the graph we’re going to assume the level of investment stays the same for all levels of income
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Simplifying Assumption C C+I C line and the C+I line are parallel
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Graphing the C + I Line How much is I when disposable income is 1000, 2000, and 3,000? The C line and the C+I line are parallel. Therefore I is about 480 at every level of disposable income. 480
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Government Spending
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Government Purchases versus Transfer Payments The government spends trillions of dollars a year –GDP = C + I + G + Xn GThe G in our formula refers to Government purchases It does NOT refer to transfer payments.
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What is a transfer payment? Transfer payments is the government taking money from one group and giving it to another group in the economy.
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Transfer Payments Include Social Security –Transferring between the generations Veteran Benefits –Transferring money to veterans Unemployment Benefits –Transferring from the employed to the Unemployed.
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Government Purchases vs. Transfers –A–Approximately half is “transfer payments” The largest transfer payment is social security These payments eventually end up in the “C” part GDP (after they are spent) –A–Approximately half is “government purchases” The largest government purchase is defense These end up in the “G” part of GDP
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Graphing in “G” C C+I C+I+G G
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Graphing the C + I + G + Xn Line How much is G? Answer: 400
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The Export-Import Sector
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The Basis for International Trade The basis for international trade is that a nation can import a particular good or service at a lower cost than if it were produced domestically –In other words, if you can buy it cheaper than you can make it you should buy it –This maxim is true for individuals and nations
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A Summing Up: C + I + G + Xn Net exports = X n X n = Exports - Imports
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C C+I C+I+GC+I+G+(X-M) Due to Imports being greater than Exports
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C + I + G + Xn Why is the C + I + G + X n line lower than the C + I + G line? Answer: It is lower because net exports (X n ) are negative
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The World’s Top Ten Exporting Nations, 1999
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The GAPS & The Multiplier
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The Multiplier and Its Applications Any change in spending (C, I, or G) will set off a chain reaction, leading to a multiplied change in GDP GDP = C + I + G + Xn How much the multiplied change is depends on the MPC and MPS
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Calculating the Multiplier Remember MPC + MPS = 1, therefore, MPS = 1 - MPC Multiplier = ----------------------- 1 1 - MPC Multiplier = ---------------------- 1 MPS Because the multiplier (like C) deals with spending, 1/(1-MPC) is a more appropriate formula)
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Calculating the Multiplier The MPC is.5. Find the multiplier
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Calculating the Multiplier (Continued) The MPC is.5. Find the multiplier Multiplier = ---------------- = -------- = ----- = 2 1 1 - MPC 1 1 –.5 1.5
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Calculating the Multiplier Step-by-Step Working of the Multiplier When MPC is.5 $1,000.00 $ 500.00 $ 250.00 $ 125.00 $ 62.50 $ 31.25 $ 15.625 $ 7.813 $ 3.906 $ etc. $ etc. $2,000.00 It is surely much easier to use the multiplier of 2 (2 X $1,000 = $2000) than to go through this process and add up all the figures
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Calculating the Multiplier (Continued) The MPC is.75. Find the multiplier
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Calculating the Multiplier (Continued) The MPC is.75. Find the multiplier Multiplier = ---------------- = -------- = ----- = 4 11 1 1 - MPC 1 –.75.25
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Applications of the Multiplier The Multiplier is used to calculate the effect of changes in C, I, or G on GDP GDP = 2,500; Multiplier = 3; C rises by 10 What is the new level of GDP? GDP New = GDP Initial + (Change in spending X Multiplier) GDP New = 2500 + ( 10 x 3) GDP New = 2500 + ( 30) GDP New = 2530
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Applications of the Multiplier The Multiplier is used to calculate the effect of changes in C, I, or G on GDP GDP = X; Multiplier = 3; C rises by 10 What happens to GDP? GDP New = GDP Initial + (Change in spending X Multiplier) GDP New = X + ( 10 x 3) GDP New = X + ( 30) GDP increases by 30
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Applications of the Multiplier The Multiplier is used to calculate the effect of changes in C, I, or G on GDP GDP = X; Multiplier = 7; G falls by 5 What happens to GDP? GDP New = GDP Initial + (Change in spending X Multiplier) GDP New = X + ( -5 x 7) GDP New = X + ( -35) GDP decreases by 35
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Applications of the Multiplier How big is the multiplier (M)? M = distance between the equilibrium GDP and the full- employment GDP / by the gap M = 2 / 2 = 1
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Applications of the Multiplier How big is the multiplier (M)? M = distance between the equilibrium GDP and the full- employment GDP / by the gap M = 500 / 200 = 2.5
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Graphing the C + I + G + Xn Line To keep the graph as simple as possible, we are assuming the government spends a constant amount of money regardless of the level of disposable income
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The Relationship Between Total Planned Expenditures and the Aggregate Demand Price Level Real GDP Total Planned Consumption C, G, I, N, X Real GDP 200 100 TPE 100p TPE 200p 600 800
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