Presentation on theme: "ISL244E Macroeconomics Problem Session-12"— Presentation transcript:
1ISL244E Macroeconomics Problem Session-12 byResearch AssistantSerkan Değirmenci
2Today BLANCHARD (2009), Macroeconomics - Chapter 10: The Facts of Growth:(btw pages: )Quick Check (QC): (1-3) (Page: 242)- Chapter 11: Saving, Capital Accumulation, and Output:(btw pages: )Quick Check (QC): (1-3) (Page: 265)Dig Deeper (DP): (4-6) (Page: )
3Chapter 10-QC-1 (Page: 242)Using the information in this chapter, label each of the following statementsTrue, false, or uncertain. Explain briefly.a. On a logarithmic scale, a variable that increases at 5% per year will movealong an upward-sloping line with a slope of TRUE (SEE PAGE 228-FIGURE 10-1)b. The price of food is higher in poor countries than it is in rich countries. FALSE (229)c. Evidence suggests that happiness in rich countries increases with outputper person. FALSE (SEE PAGE 231=>SEE FOCUS BOX: “Growth and Happiness”)d. In virtually all the countries of the world, output per person is convergingto the level of output per person in the United States. FALSE (SEE PAGE 236)e. For about 1,000 years after the fall of the Roman Empire, there wasessentially no growth in output per person in Europe, because any increase inoutput led to a proportional increase in population. TRUE (SEE PAGE 235)f. Capital accumulation does not affect the level of output in the long-run;Only technological progress does. FALSE (SEE PAGE 240)g. The aggregate production function is a relation between output on onehand and labor and capital on the other. TRUE (SEE PAGE 237) => Y = F (K, N)
4Transportation Services Chapter 10-QC-2 (Page: 242)Assume that the average consumer in Mexico and the average consumer in the United States buy the quantities and pay the prices indicated in the following table:FoodTransportation ServicesPriceQuantityMexico10 pesos80030 pesos300United States$22,000$33,000a. Compute U.S. consumption per capita in dollars.b. Compute Mexican consumption per capita in pesos.c. Suppose that 1 dollar is worth 10 pesos. Compute Mexico’s consumptionper capita in dollars.d. Using the purchasing power parity method and U.S. prices, computeMexican consumption per capita in dollars.e. Under each method, how much lower is the standard of living in Mexicothan in the United States? Does the choice of method make a difference?
5Transportation Services Chapter 10-QC-2 (Page: 242)SOLUTION: (SEE PAGES: ) The table should read as follows.FoodTransportation ServicesPriceQuantityMexico10 pesos80030 pesos300United States$22,000$33,000U.S. consumption per person = $2(2000) + $3(3,000)=$13000Mexican consumption per person=10(800) pesos + 30(300) pesos =17000 pesosc From the U.S. point of view, the exchange rate (E)=10 pesos/$.Mexican consumption per person in dollars = pesos/E=$1700d Mexican consumption per person ($PPP)=$2(800)+$3(300)=$2500e Mexican standard of living relative to the United StatesExchange rate method: 1700/13000 =0.13PPP method: 2500/13000=0.19
6Chapter 10-QC-3 (Page: 242)Consider the production function . a. Compute output when K=49 and N=81. b. If both capital and labor double, what happens to output? c. Is this production function characterized by constant returns to scale? Explain. d. Write this production function as a relation between output per worker and capital per worker. e. Let K/N=4. What is Y/N? Now double K/N to 8. Does Y/N double as a result? f. Does the relation between output per worker and capital per worker exhibit constant returns to scale? g. Is your answer in (f) the same as your answer in (c)? Why or why not? h. Plot the relation between output per worker and capital per worker. Does it have the same general shape as the relation in Figure 10-4? Explain.
7Chapter 10-QC-3 (Page: 242) b. Y doubles. c. Yes. d. Y/N=(K/N)1/2 SOLUTION:a. Y=63b. Y doubles.c. Yes.d. Y/N=(K/N)1/2e. K/N=4 implies Y/N=2. K/N=8 implies Y/N= Output less than doubles.f. No. g. No. In part (f), we are essentially looking at what happens to output when we increase capital only, not capital and labor in equal proportion. There are decreasing returns to capital.h. Yes. SEE PAGE 239-FIGURE 10-4
8OUTPUT AND CAPITAL PER WORKER: (SEE PAGE 239-FIGURE 10-4) INCREASES IN CAPITAL PER WORKER LEAD TO SMALLER AND SMALLER INCREASES IN OUTPUT PER WORKER.