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135 Copyright 2009 Pearson Education Inc Publishing as Prentice Hall ANSWERS TO END OF CHAPTER PROBLEMS CHAPTER 1 Quick Check 1 a True b True c False d False uncertain The rate of growth was higher during the decade beginning in 1996 than during the previous two decades but it is probably unrealistic to expect productivity to continue to grow at such a fast pace e False There are problems with the statistics but the consensus is that growth in China has been high f False The European unemployment miracle refers to the relatively low European unemployment rate in the 1960s and the early 1970s g True h True 2 a More flexible labor market institutions may lead to lower unemployment but there are questions about how precisely to restructure these institutions The United Kingdom has restructured its labor market institutions to resemble more closely U S institutions and now has a lower unemployment rate than before the restructuring On the other hand Denmark and the Netherlands have relatively low unemployment rates while maintaining relatively generous social insurance programs for workers In addition some economists argue that tight monetary policy has at least something to do with the high unemployment rates in Europe b Although the Euro will remove obstacles to free trade between European countries each country will be forced to give up its own monetary policy Dig Deeper 3 a The Chinese government has encouraged foreign firms to produce in China Since foreign firms are typically more productive than Chinese firms the presence of foreign firms has lead to an increase in Chinese productivity The Chinese government has also encouraged joint ventures between foreign and Chinese firms These joint ventures allow Chinese firms to learn from more productive foreign firms b The recent increase in U S productivity growth has been a result of the development and widespread use of information technologies c The United States is a technological leader Much of U S productivity growth is related to the development of new technologies China is involved in technological catch up Much of Chinese productivity growth is related to adopting existing technologies developed abroad d It s not clear to what extent China provides a model for other developing countries High investment seems a good strategy for countries with little capital and encouraging foreign firms to produce and participate in joint ventures at home seems a good strategy for countries trying to improve productivity On the other hand the degree to which China s centralized political control has been important in managing the pace of the transition and in protecting property rights Copyright 2009 Pearson Education Inc Publishing as Prentice Hall 136 of foreign firms remains open to question 4 a 10 years 1 018 10 1 195 or 19 5 higher 20 years 42 9 higher 50 years 144 higher b 10 years 31 8 higher 20 years 73 7 higher 50 years 297 8 higher c Take output per worker as a measure of the standard of living 10 years 1 195 1 318 1 103 so the standard of living would be 10 3 higher 20 years 21 6 higher 50 years 63 higher d No Labor productivity growth fluctuates a lot from year to year The last few years may represent good luck It is too soon to tell whether there has been a change in the trend observed since 1970 5 a 13 2 1 034 t 2 8 1 088 t t ln 13 2 2 8 ln 1 088 1 034 t 30 5 yrs This answer can be confirmed with a spreadsheet for students unfamiliar with the use of logarithms b No At current growth rates Chinese output will exceed U S output within 31 years but Chinese output per person the Chinese standard of living will still be less than U S output per person Explore Further 6 a c As of February 2008 there had been 5 recessions according to the traditional definition since 1960 Seasonally adjusted annual percentage growth rates of GDP in chained 2000 dollars are given below 1969 4 1 91981 4 4 9 1970 1 0 71982 1 6 4 1974 3 3 81990 4 3 0 1974 4 1 61991 1 2 0 1975 1 4 7 1980 2 7 8 1980 3 0 7 With respect to the note on 2001 the growth rates for 2001 are given below 2001 1 0 5 2001 2 1 2 2001 3 1 4 2001 4 1 6 137 Copyright 2009 Pearson Education Inc Publishing as Prentice Hall 7 a b point increase in the unemployment rate for the 5 recessions 1969 700 71981 821 1 1974 753 11990 910 9 19800 6 The unemployment rate increased by 1 5 percentage points between January 2001 and January 2002 CHAPTER 2 Quick Check 1 a True b True Uncertain Real GDP increased by a factor of 25 nominal GDP increased by a factor of 21 Real GDP per person increased by a factor of 4 c False d True e False The level of the CPI means nothing The rate of change of the CPI is one measure of inflation f Uncertain Which index is better depends on what we are trying to measure inflation faced by consumers or by the economy as a whole g False The underground economy is large but by far the majority of the measured unemployed in Spain are not employed in the underground economy 2 a No change This transaction is a purchase of intermediate goods b 100 personal consumption expenditures c 200 million gross private domestic fixed investment d 200 million net exports e No change The jet was already counted when it was produced i e presumably when Delta or some other airline bought it new as an investment 3 a The value of final goods 1 000 000 the value of the silver necklaces b 1st Stage 300 000 2nd Stage 1 000 00 300 000 700 000 GDP 300 000 700 000 1 000 000 c Wages 200 000 250 000 450 000 Profit 300 000 200 000 1 000 000 250 000 300 000 100 000 450 000 550 000 GDP 450 000 550 000 1 000 000 4 a 2006 GDP 10 2 000 4 1 000 1000 1 25 000 2007 GDP 12 3 000 6 500 1000 1 40 000 Nominal GDP has increased by 60 Copyright 2009 Pearson Education Inc Publishing as Prentice Hall 138 b 2006 real 2006 GDP 25 000 2007 real 2006 GDP 12 2 000 6 1 000 1000 1 31 000 Real 2006 GDP has increased by 24 c 2006 real 2007 GDP 10 3 000 4 500 1 000 1 33 000 2007 real 2007 GDP 40 000 Real 2007 GDP has increased by 21 2 d The answers measure real GDP growth in different units Neither answer is incorrect just as measurement in inches is not more or less correct than measurement in centimeters 5 a 2006 base year Deflator 2006 1 Deflator 2007 40 000 31 000 1 29 Inflation 29 b 2007 base year Deflator 2006 25 000 33 000 0 76 Deflator 2007 1 Inflation 1 0 76 0 76 32 32 c Analogous to 4d 6 a 2006 real GDP 10 2 500 4 750 1000 1 29 000 2007 real GDP 12 2 500 6 750 1000 1 35 500 b 35 500 29 000 29 000 224 22 4 c Deflator in 2006 25 000 29 000 86 Deflator in 2007 40 000 35 500 1 13 Inflation 1 13 86 86 31 31 d Yes see appendix for further discussion Dig Deeper 7 a The quality of a routine checkup improves over time Checkups now may include EKGs for example Medical services are particularly affected by this problem since there are continual improvements in medical technology b The new method represents a 10 quality increase c There is a 5 true price increase The other 10 represents a quality increase The quality adjusted price of checkups using the new method is only 5 higher than checkups using the old method last year d You need to know the relative value of pregnancy checkups with and without ultra sounds in the year the new method is introduced Still since everyone chooses the new method we can say that the quality adjusted price of checkups has risen by less than 15 Some of the observed 15 increase represents an increase in quality 139 Copyright 2009 Pearson Education Inc Publishing as Prentice Hall 8 a Measured GDP increases by 10 12 22 Strictly this involves mixing the final goods and income approaches to GDP Assume here that the 12 per hour of work creates a final good worth 12 b No The true value of your decision to work should be less than 22 If you choose to work the economy produces the value of your work plus a takeout meal If you choose not to work presumably the economy produces a home cooked meal The extra output arising from your choice to work is the value of your work plus any difference in value between takeout and home cooked meals In fact however the value of home cooked meals is not counted in GDP Of course there are other details For example the value of groceries used to produce home cooked meals would be counted in GDP Putting such details aside however the basic point is clear Explore Further 9 a Quarters 2000 III 2001 I and 2001 III had negative growth b The unemployment rate increased after 2000 peaked in 2003 and then began to fall The participation rate fell steadily over the period from 67 1 in 2000 to 66 in 2004 Presumably workers unable to find jobs became discouraged and left the labor force c Employment growth slowed after 2000 Employment actually fell in 2001 The employment to population ratio fell between 2000 and 2004 d It several years after the recession for the labor market to recover CHAPTER 3 Quick Check 1 a True b False Government spending excluding transfers was 19 of GDP c False The propensity to consume must be less than one for our model to make sense d True e False f False The increase in output is one times the multiplier g False 2 a Y 160 0 6 Y 100 150 150 Y 1000 b YD Y T 1000 100 900 c C 160 0 6 900 700 3 a Equilibrium output is 1000 Total demand C I G 700 150 150 1000 Total demand equals production We used this equilibrium condition to solve for output b Output falls by 40 times the multiplier 40 1 6 100 So equilibrium output is now 900 Total demand C I G 160 0 6 800 150 110 900 Again total demand equals production Copyright 2009 Pearson Education Inc Publishing as Prentice Hall 140 c Private saving Y C T 900 160 0 6 800 100 160 Public saving T G 10 National saving or in short saving equals private plus public saving or 150 National saving equals investment This statement is mathematically equivalent to the equilibrium condition total demand equals production In other words there is an alternative and equivalent equilibrium condition national saving equals investment Dig Deeper 4 a Y increases by 1 1 c1 b Y decreases by c1 1 c1 c The answers differ because spending affects demand directly but taxes affect demand indirectly through consumption and the propensity to consume is less than one d The change in Y equals 1 1 c1 c1 1 c1 1 Balanced budget changes in G and T are not macroeconomically neutral e The propensity to consume has no effect because the balanced budget tax increase aborts the multiplier process Y and T both increase by one unit so disposable income and hence consumption do not change 5 a Y c0 c1YD I G implies Y 1 1 c1 c1t1 c0 c1t0 I G b The multiplier 1 1 c1 c1t1 1 1 c1 so the economy responds less to changes in autonomous spending when t1 is positive After a positive change in autonomous spending the increase in total taxes because of the increase in income tends to lessen the increase in output After a negative change in autonomous spending the fall in total taxes tends to lessen the decrease in output c Because of the automatic effect of taxes on the economy the economy responds less to changes in autonomous spending than in the case where taxes are independent of income Since output tends to vary less to be more stable fiscal policy is called an automatic stabilizer 6 a Y 1 1 c1 c1t1 c0 c1t0 I G b T t0 t1 1 1 c1 c1t1 c0 c1t0 I G c Both Y and T decrease d If G is cut Y decreases even more A balanced budget requirement amplifies the effect of the decline in c0 Therefore such a requirement is destabilizing 7 a In the diagram representing goods market equilibrium the ZZ line shifts up Output increases b There is no effect on the diagram or on output c The ZZ line shifts up and output increases Effectively the income transfer increases the 141 Copyright 2009 Pearson Education Inc Publishing as Prentice Hall propensity to consume for the economy as a whole d The propensity to consume is likely to be higher for low income taxpayers Therefore tax cuts will be more effective at stimulating output if they are directed toward low income taxpayers 8 a Y C I G Y 1 1 c1 b1 c0 c1T b0 G b Including the b1Y term in the investment equation increases the multiplier Increases in autonomous spending now create a multiplier effect through two channels consumption and investment For the multiplier to be positive the condition c1 b1 1 is required c Output increases by b0 times the multiplier Investment increases by the change in b0 plus b1 times the change in output The change in business confidence leads to an increase in output which induces an additional increase in investment Since investment increases and saving equals investment saving must also increase The increase in output leads to an increase in saving Explore Further 9 a Output will fall b Since output falls investment will also fall Public saving will not change Private saving will fall since investment falls and investment equals saving Since output and consumer confidence fall consumption will also fall c Output investment and private saving would have risen d Clearly this logic is faulty When output is low what is needed is an attempt by consumers to spend more This will lead to an increase in output and therefore somewhat paradoxically to an increase in private saving Note however that with a linear consumption function the private saving rate private saving divided by output will fall when c0 rises 10 Answers will vary depending on when students visit the website CHAPTER 4 Quick Check 1 a False b False c False Money demand describes the portfolio decision to hold wealth in the form of money rather than in the form of bonds The interest rate on bonds is relevant to this decision d True e False f False g True h True Copyright 2009 Pearson Education Inc Publishing as Prentice Hall 142 2 a i 0 05 money demand 18 000 i 0 10 money demand 15 000 b Money demand decreases when the interest rate increases because bonds which pay interest become more attractive c The demand for money falls by 50 d The demand for money falls by 50 e A 1 increase decrease in income leads to a 1 increase decrease in money demand This effect is independent of the interest rate 3 a i 100 PB 1 i 33 18 5 when PB 75 85 95 b When the bond price rises the interest rate falls c PB 100 1 08 93 4 a 20 MD 100 25 i i 5 b M 100 25 15 M 10 Dig Deeper 5 a BD 50 000 60 000 35 i If the interest rate increases by 10 percentage points bond demand increases by 6 000 b An increase in wealth increases bond demand but has no effect on money demand which depends on income a proxy for transactions demand c An increase in income increases money demand but decreases bond demand since we implicitly hold wealth constant d First of all the use of money in this statement is colloquial Income should be substituted for money Second when people earn more income their wealth does not change right away Thus they increase their demand for money and decrease their demand for bonds 6 Essentially the reduction in the price of the bond makes it more attractive A bond promises fixed nominal payments The opportunity to receive these fixed payments at a lower price makes a bond more attractive 7 a 16 is withdrawn on each trip to the bank Money holdings are 16 on day one 12 on day two 8 on day three and 4 on day four b Average money holdings are 16 12 8 4 4 10 143 Copyright 2009 Pearson Education Inc Publishing as Prentice Hall c 8 is withdrawn on each trip to the bank Money holdings are 8 4 8 and 4 d Average money holdings are 6 e 16 is withdrawn on each trip to the bank Money holdings are 0 0 0 and 16 f Average money holdings are 4 g Based on these answers ATMs and credit cards have reduced money demand 8 a All money is in checking accounts so demand for central bank money equals demand for reserves Therefore demand for central bank money 0 1 Y 8 4i b 100B 0 1 5 000B 8 4i i 15 c Since the public holds no currency money multiplier 1 reserve ratio 1 1 10 M 10 100B 1 000B M Md at the interest derived in part b d If H increases to 300B the interest rate falls to 5 e The interest rate falls to 5 since when H equals 300B M 10 300B 3 000B 9 The money multiplier is 1 c 1 c where c is the ratio of currency to deposits and is the ratio of reserves to deposits When c increases as in the Great Depression the money multiplier falls Explore Further 10 Answers will vary depending on when students visit the FOMC website CHAPTER 5 Quick Check 1 a True b True c False d False The balanced budget multiplier is positive it equals one so the IS curve shifts right e False f Uncertain An increase in government spending leads to an increase in output which tends to increase investment but also to an increase in the interest rate which tends to reduce investment g True 2 a Y 1 1 c1 c0 c1T I G The multiplier is 1 1 c1 Copyright 2009 Pearson Education Inc Publishing as Prentice Hall 144 b Y 1 1 c1 b1 c0 c1T b0 b2i G The multiplier is 1 1 c1 b1 Since the multiplier is larger than the multiplier in part a the effect of a change in autonomous spending is bigger than in part a An increase in autonomous spending now leads to an increase in investment as well as consumption c Substituting for the interest rate in the answer to part b Y 1 1 c1 b1 b2d1 d2 c0 c1T b0 b2 d2 M P G The multiplier is 1 1 c1 b1 b2d1 d2 d The multiplier is greater less than the multiplier in part a if b1 b2d1 d2 is greater less than zero The multiplier as measured in part c measures the marginal effect of an increase in autonomous spending on equilibrium output As such the multiplier is the sum of two effects a direct effect of output on demand and an indirect effect of output on demand via the interest rate The direct effect is equivalent to the horizontal shift of the IS curve The indirect effect depends on the slope of the LM curve since the equilibrium moves along the LM curve in response to a shift of the IS curve and the effect of the interest rate on investment demand The direct effect is captured by the sum c1 b1 which measures the marginal effect of an increase in output on the sum of consumption and investmen
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