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42 PRINCIPLES OF ECONOMICS
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With respect to income tax receipts, net tax revenues increase when output increases and more taxes are collected or when government imposes a higher income tax rate.
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Income tax receipts may decrease if the economy slows, not just because Congress cuts tax rates.
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1. A change in disposable income causes an equal change in consumption. 2. Investment spending is the most unstable component of aggregate spending. 3. Consumption and investment spending in the national income accounts is solely for domestically produced goods and services. 4. Imports by a country are unrelated to its level of GDP. Answers: 1. False; 2. True; 3. False; 4. False
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Solved Problem 4.1 Suppose the economy s consumption function is speci ed by the equation C = $50 + 0.80Yd. a. Find consumption when disposable income (Yd) is $400, $500, and $600. b. Plot this consumption equation and label it C . c. Use the plotted consumption function to nd saving when disposable income is $400, $500, and $600. d. What amount of consumption for consumption function C is autonomous, and what amount is induced when disposable income is $400 $500 $600 Solution: a. Consumption for each level of disposable income is found by substituting the speci ed disposable income level into the consumption
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CHAPTER 4: Consumption, Investment, Exports and Government
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Figure 4-2 equation. Thus, for Yd = $400, C = $50 + 0.80($400) = $50 + $320 = $370. So, C is $450 when Yd = $500, and $530 when Yd = $600. b. The linear consumption function C = $50 + 0.80Yd is plotted in Figure 4-2. c. Saving is the difference between disposable income and consumption. Using the calculation from part a., we nd that saving is $30 when Yd is $400 (Yd C = S = $400 $370 = $30), $50 when Yd is $500, and $70 when Yd is $600. Saving is the difference between the consumption line and the 45 line at each level of disposable income in Figure 4-2. Thus, reading up from the $400 income level, we nd that C is $370; the distance from consumption function C to the 45 line at the $400 income level is $30 the amount of saving. d. Autonomous consumption is the amount consumed when disposable income is 0. In Figure 4-2, autonomous consumption is $50, the amount consumed when the consumption line C intersects the vertical axis and disposable income is 0. Since autonomous consumption is unrelated to income, autonomous consumption is $50 for all levels of income. Induced consumption is the amount of consumption that depends upon the receipt of income. Consumption is $370 when disposable in-
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44 PRINCIPLES OF ECONOMICS
come is $400. Since $50 is consumed regardless of the income level, $320 of the $370 level of consumption is induced by disposable income. Induced consumption is $400 when disposable income is $500, and $480 when disposable income is $600. Solved Problem 4.2 What will happen to consumption function C in Figure 4-2 when: a. Consumers consider their job secure and therefore become more con dent about the future level of disposable income b. Credit card issuers implement tighter credit standards and consumers are less able to buy goods and services on credit c. Consumers expect the price level to increase 10 percent by year end Solution: a. Consumers become more willing to consume their current disposable income. Consumption function C in Figure 4-2 shifts upward to C , and consumption is greater for each level of disposable income. b. Some consumers are no longer able to borrow to purchase goods and services in the current period. The consumption function will shift downward from C to C . Consumption is lower for each level of disposable income. c. Consumers reschedule future purchases to the current period because of the expected rise in prices for goods and services. Consumption function C shifts upward to C . Solved Problem 4.3 Variables other than the rate of interest affect gross investment. Changes in these other variables cause investment demand to shift downward or upward. What should happen to the economy s investment demand when there is a change in the following variables a. There is an increase in consumer con dence. b. Manufacturers utilization of existing capacity declines. c. There is an increase in vacancy rates in commercial buildings. Solution: a. Investment demand should shift upward. Housing sales should increase as consumers become more con dent; builders would construct more new housing to meet this increased demand. b. Investment demand should shift downward. Businesses purchases of durable equipment should fall since such purchases would expand
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