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Chapter 22 DERIVING EQUILIBRIUM NATIONAL INCOME Gottheil — Principles of Economics, 7e © 2013 Cengage Learning 1
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Economic Principles © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 2 Aggregate expenditure The equilibrium level of national income The relationship between saving and investment The income multiplier
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Economic Principles © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 3 The relationship between aggregate expenditure and aggregate demand The paradox of thrift
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Equilibrium National Income © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 4 Equilibrium price is determined by the equal contribution of both demand and costs of production. In particular, it is their interaction that determines equilibrium price.
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Equilibrium National Income © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 5 Similarly, the interaction of aggregate expenditure and aggregate supply contribute to equilibrium national income. In this case, however, aggregate expenditure plays a stronger role than aggregate supply.
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Interaction Between Consumers and Producers © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 6 Aggregate expenditure Spending by consumers on consumption goods, spending by businesses on investment goods, spending by government, and spending by foreigners on net exports.
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Interaction Between Consumers and Producers © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 7 Recall that the amount of consumer income spent on consumption and saving is represented by: Y = C + S
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Interaction Between Consumers and Producers © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 8 And recall that the amount of production goods and investment goods produced by producers is represented by: Y = C + I i where the subscript i indicates intended as distinct from actual.
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Interaction Between Consumers and Producers © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 9 If, by chance, what producers intend to produce for consumption turns out to be precisely what consumers intend to consume, the match between intended investment and savings is written as: I i = S
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Interaction Between Consumers and Producers © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 10 The I = S equation describes the economy in macroequilibrium. No excess demand or supply exists. Aggregate expenditure equal aggregate supply.
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The Economy Moves Toward Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 11 The national economy, if not already in equilibrium, is always moving toward it.
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The Economy Moves Toward Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 12 Equilibrium level of national income C + I i = C + S, where saving equals intended investment.
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The Economy Moves Toward Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 13 Unwanted inventories Goods produced for consumption that remain unsold.
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The Economy Moves Toward Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 14 Actual investment (I a ) Investment spending that producers actually make, which is, intended investment (investment spending that producers intend to undertake) plus or minus unintended changes in inventories.
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 15 EXHIBIT 1CONSUMERS’ AND PRODUCERS’ INTENTIONS AND ACTIVITIES, BY STAGES, WHEN Y = $900 BILLION
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Exhibit 1: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $900 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 16 Suppose the economy is at Y = $900 billion, autonomous consumption = $60 billion, MPC = 0.80 and producers’ intended investment is $100 billion.
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Exhibit 1: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $900 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 17 1.What are consumers’ consumption expenditures and savings in Exhibit 1? If Y = C + S and C = a + bY, then consumption expenditures ( C ) = $60 billion + 0.8 ($900 billion) = $780 billion.
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Exhibit 1: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $900 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 18 1.What are consumers’ consumption expenditures and saving in Exhibit 1? If S = Y – C, then saving ( S) = $900 billion – $780 billion = $120 billion.
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Exhibit 1: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $900 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 19 2.What is intended production by producers? If C = Y - I i and I i = $100 billion, then intended production = $900 billion - $100 billion = $800 billion.
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Exhibit 1: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $900 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 20 Producers’ intended production ($800 billion) – consumers’ consumption expenditures ($780 billion) = $20 billion. 3.What is the difference between consumers’ consumption expenditures and producers’ intended production?
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Exhibit 1: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $900 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 21 The $20 billion difference is described as unwanted inventories and must be absorbed as investment. 3.What is the difference between consumers’ consumption expenditures and producers’ intended production?
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Exhibit 1: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $900 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 22 3.What is the difference between producers’ intended production and consumers’ consumption expenditures? Producers’ actual investment ($120 billion) ends up being greater than what they had intended to invest ($100 billion).
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 23 EXHIBIT 2CONSUMERS’ AND PRODUCERS’ INTENTIONS AND ACTIVITIES, BY STAGES, WHEN Y = $700 BILLION
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Exhibit 2: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $700 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 24 Suppose national income changes to Y = $700 billion, but MPC, autonomous consumption and intended investment all remain the same.
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Exhibit 2: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $700 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 25 1.What are consumers’ consumption expenditures? C = $60 billion + 0.8 ($700 billion) = $620 billion
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Exhibit 2: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $700 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 26 2.What is intended production by producers? C = $700 billion – $100 billion = $600 billion
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Exhibit 2: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $700 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 27 Consumers’ consumption ($620 billion) – Producers’ production ($600 billion) = $20 billion 3.What is the difference between consumers’ consumption expenditures and producers’ intended production?
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Exhibit 2: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $700 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 28 The $20 billion difference must be converted from intended investment to consumption goods to meet demand. 3.What is the difference between consumers’ consumption expenditures and producers’ intended production?
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Exhibit 2: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $700 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 29 3.What is the difference between consumers’ consumption expenditures and producers’ intended production? Actual investment ends up being less than intended investment.
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 30 EXHIBIT 3CONSUMERS’ AND PRODUCERS’ INTENTIONS AND ACTIVITIES, BY STAGES, WHEN Y = $800 BILLION
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Exhibit 3: Consumers’ and Producers’ Intentions and Activities, by Stages, When Y = $800 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 31 What is the difference between production and consumers’ expenditures in Exhibit 3? Production and consumption are equal at $700 billion. The economy is in equilibrium.
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Equilibrium National Income © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 32 Aggregate expenditure curve (AE) A curve that shows the quantity of aggregate expenditures at different levels of national income or GDP.
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Equilibrium National Income © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 33 Aggregate expenditure curve (AE) The intersection of the 45° income curve and AE identifies the economy’s equilibrium position.
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Equilibrium National Income © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 34 When I i > S, producers hire more workers to replace depleted inventories. Y increases and continues to increase until I i = S. When S > I i, inventories build up and producers lay off workers. Y decreases until I i = S.
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 35 EXHIBIT 4ATHE EQUILIBRIUM LEVEL OF NATIONAL INCOME
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 36 EXHIBIT 4BTHE EQUILIBRIUM LEVEL OF NATIONAL INCOME
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Exhibit 4: The Equilibrium Level of National Income © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 37 At a national income of $700 billion, aggregate expenditure is ____ the national income in panel a of Exhibit 4. i.Greater than ii.Less than
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Exhibit 4: The Equilibrium Level of National Income © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 38 At a national income of $700 billion, aggregate expenditure is ____ the national income in panel a of Exhibit 4. i.Greater than ii.Less than
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Changes in Investment Change National Income Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 39 As long as the consumption function and the investment demand function remain unchanged, there is no reason to suppose that the level of national income would move away from equilibrium.
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Changes in Investment Change National Income Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 40 Functions do change, however.
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 41 EXHIBIT 5CONSUMERS’ AND PRODUCERS’ INTENTIONS AND ACTIVITIES, BY STAGES, WHEN INVESTMENT INCREASES TO $130 BILLION AND Y = $800 BILLION
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Exhibit 5: Consumers’ and Producers’ Intentions and Activities, by Stages, when Investment Increases to $130 Billion and Y = $800 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 42 When intended investment increases, the supply of consumption goods decreases to $670 billion. What happens to the equilibrium level of national income when intended investment increases in Exhibit 5?
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Exhibit 5: Consumers’ and Producers’ Intentions and Activities, by Stages, when Investment Increases to $130 Billion and Y = $800 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 43 Consumers’ consumption expenditures remain at $700 billion. Consumers’ demand is greater than producers’ production. What happens to the equilibrium level of national income when intended investment increases in Exhibit 5?
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Exhibit 5: Consumers’ and Producers’ Intentions and Activities, by Stages, when Investment Increases to $130 Billion and Y = $800 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 44 What happens to the equilibrium level of national income when intended investment increases in Exhibit 5? In an effort to meet consumers’ demand, producers hire more workers and national income increases. The equilibrium also increases.
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 45 EXHIBIT 6ADERIVING EQUILIBRIUM AT Y = $950 BILLION
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 46 EXHIBIT 6BDERIVING EQUILIBRIUM AT Y = $950 BILLION
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Exhibit 6: Deriving Equilibrium at Y = $950 Billion © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 47 What is the equilibrium level of national income when intended investment increases to $130 billion in Exhibit 6? The equilibrium level increases to $950 billion, where I i = S.
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Changes in Investment Change National Income Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 48 The formula Y = ( a + bY ) + I i can be used to calculate equilibrium national income when specific values for autonomous consumption, MPC and intended investment are known.
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The Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 49 While consumption spending, MPC, and autonomous consumption have all remained relatively stable over time, investment spending has been volatile.
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The Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 50 Economists identify changes in aggregate expenditure, in particular investment spending, as the key to our understanding of why national income changes.
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The Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 51 Income multiplier The multiple by which income changes as a result of a change in aggregate expenditure. It is written as: Multiplier = (Change in Y )/(Change in AE )
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The Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 52 The size of the multiplier depends on the marginal propensity to consume. An initial change in investment sets in motion a chain of events that creates a larger change in national income.
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The Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 53 For example, suppose a business owner decides to invest $1,000 in a new technology. The producer of the technology receives an increase in income of $1,000. If MPC = 0.80, the technology producer’s consumption spending increases by $800.
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The Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 54 Suppose the $800 is then spent on a custom-made water bed. The carpenter that makes the water bed receives $800 of additional income. Based on MPC, we know that she will spend $640 and save the rest. The chain of events continues.
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Changes in Foreign Trade Change National Income Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 55 The influence of foreign trade on national income determination is less obvious than are the other components of aggregate expenditure. It includes both exports and imports, which have offsetting effects on the direction a national economy takes..
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 56 EXHIBIT 7IMPACT OF FOREIGN TRADE ON NATIONAL INCOME EQUILIBRIUM
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Exhibit 7: Impact of Foreign Trade on National Income Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 57 In panel a, the AE curve shifts upward by $60 billion of exports, increasing national income to $1,100 billion. This is effect those exports have on theU.S. economy’s equilibrium.
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Exhibit 7: Impact of Foreign Trade on National Income Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 58 In panel b, the AE curve shifts downward by $20 billion of imports, decreasing national income by $100 billion. This is the impact of imports on aggregate expenditure.
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Exhibit 7: Impact of Foreign Trade on National Income Equilibrium © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 59 In panel c, the combined effect of exports and imports shifts the AE curve upward by $40 billion ($60 – $20) of foreign trade, increasing national income by $1,000. That is, what was once AE = C + I is now AE = C + I + ( X - M ).
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 60 EXHIBIT 8THE MAKING OF THE INCOME MULTIPLIER
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Exhibit 8: The Making of the Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 61 The additions to national income in Exhibit 8 become _____ as economic activity progresses through successive rounds. i.Smaller and smaller ii.Bigger and bigger
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Exhibit 8: The Making of the Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 62 The additions to national income in Exhibit 8 become _____ as economic activity progresses through successive rounds. i.Smaller and smaller. For example, in round 2, $800 is added. In round 3, $640 is added. ii.Bigger and bigger
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The Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 63 The formula to determine the income multiplier is written: 1/(1 – MPC ) Since (1 – MPC ) = MPS, the formula can be written: 1/ MPS
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The Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 64 For example, for a $1,000 change in investment, when MPC = 0.80, the income multiplier is: 1/(1 – 0.80) = 1/(0.2) = 5 A $1,000 investment leads to a $5,000 change in national income.
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The Income Multiplier © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 65 Just as increases in aggregate expenditure stimulate the economy, cuts in aggregate expenditure drag it down.
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The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 66 Some people believe that putting a higher percentage of their income into saving will provide greater economic security. This is not necessarily the case, however. By trying to save more, people may actually end up saving less, or at least saving no more.
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The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 67 The paradox of thrift The more people try to save, the more income falls, leaving them with no more and perhaps even less saving.
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The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 68 The intention to save more causes the saving curve to shift upwards. Saving then becomes greater than intended investment ( S > I i ). The equilibrium level of national income falls.
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The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 69 If the level of intended investment curve is horizontal, then the level of saving remains unchanged. If the intended investment curve is upward sloping, then the level of saving declines.
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© 2013 Cengage Learning Gottheil — Principles of Economics, 7e 70 EXHIBIT 9THE PARADOX OF THRIFT
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Exhibit 9: The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 71 1.What happens to national income and saving when the saving curve shifts from S to S′ in panel a of Exhibit 9? National income falls from $800 billion to $650 billion. Saving remains unchanged.
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Exhibit 9: The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 72 2.What happens to national income and saving in panel b when the saving curve shifts from S to S′ ? The equilibrium level of national income falls from $800 billion to $550 billion.
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Exhibit 9: The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 73 Because the intended investment curve is upward sloping, the shift in the saving curve causes a decline in the level of investment as well. 2.What happens to national income and saving in panel b when the saving curve shifts from S to S′ ?
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Exhibit 9: The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 74 Saving falls from $100 billion to $75 billion. 2.What happens to national income and saving in panel b when the saving curve shifts from S to S′ ?
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The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 75 Increased saving is not always detrimental to our economic health. If accompanied by increased investment, increased saving is both inevitable and desirable.
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The Paradox of Thrift © 2013 Cengage Learning Gottheil — Principles of Economics, 7e 76 During the 2008–2011 recession: The inclinations of consumers to increase their saving and of producers to hold off on intended investment might have augmented both the decline in national saving and national income
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