302 Economics Name _______________________________ Spring 2008: Monday/Wednesday Lecture First Midterm Student ID Number ____________________ March 3, 2008 Section Number _______________________
This 75 point midterm consists of three parts: a short response section with 5 short response questions worth 5 points each or a total of 25 points; a problem section with two problems worth 15 points each for a total of 30 points; and an essay section worth a total of 20 points. You will want to write legibly since illegible answers will be graded as wrong answers. You will want to present your work in an orderly fashion since a lack of organization will be interpreted as a lack of mental clarity and competent expression. You will want to make sure your answers are clear and easy to find on the test. All work should be done on the exam booklet and all answers should provide work and any formulas you used in answering the question. A lack of work for any answer will be penalized by a lower grade on that section. Calculators are fine to use.
SCORE: Short Response 1. 2. 3. 4. 5. Problems 1. 2. Essay 30 points 15 points 15 points 20 points __________________ __________________ __________________ 25 points __________________ __________________ __________________ __________________ __________________
TOTAL
75 points
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I. Short Response (worth 5 points each or 25 points total)
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For each of the following statements write a brief answer. Make sure your answers are well organized, neatly written, and explicit. Do not exceed the space provided under the question: these are short responses.
1. (5 points) What is a market clearing model? What is the difference between sticky and flexible prices, and how does the assumption about price flexibility relate to the time horizon of a particular economic model? Is there any relationship between having sticky or flexible prices and having a market clearing model? Market clearing models assume that markets are in equilibrium and that supply and demand equals each other at the equilibrium price. Flexible prices are ones where the price is allowed to fluctuate and are used in models describing the long-run. Sticky prices are prices that are not allowed to completely fluctuate thus resulting in the possibility that demand does not equal supply. Models with sticky prices are typically reserved for models describing the short-fun. Market clearing models assume flexible prices. 2. (5 points) What are the four different ways of calculating GDP as described in class and mentioned in the book? Describe double counting and how it relates to the calculation of GDP. The four ways of calculating GDP are as follows: tabulating all income to the sellers of products (wages, interest, profits, and rent), tabulating all expenditure on goods and services (consumption expenditure, investment expenditure, government expenditure, and net export expenditure), summing the value of all goods and services produced (price times quantity), and summing the value added of all levels of production for all goods. Double counting happens when intermediate goods are counted in the calculation of GDP even though they are already in GDP as part of the final good they went into. As such, in order to not double count, intermediate goods are not included in the calculation of GDP. 3. (5 points) The return on capital is set in a competitive market and is equal to $5. A firm currently has a marginal product of capital equal to 8 units of output and the price of output is $0.5. What should the firm do with their level of capital given this information? The firm's profit maximizing condition for capital is when the marginal product of capital is equal to the real rate of return on capital. In this case the real rate of return (R/P) is equal to 10 units of output, and the marginal product of capital is equal to 8 units of output. If the firm were to decrease the units of capital in use by one, the firm would save 10 units of output (by not paying for the last unit) and would only have to give up producing 8 units
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of output. This action results in a gain for the firm, and as such, the firm should decrease the units of capital it is using. 4. (5 points) Define frictional employment. Describe the effect of an increase in unemployment insurance benefits on the level of frictional unemployment. Frictional unemployment is unemployment due to workers who are temporarily out of a job trying to find a new one. If unemployment benefits increase, then it is less costly to remain unemployed, so people will have less incentive to find a job quickly. Thus, we would expect frictional employment to increase. 5. (5 points) Consider the Quantity Theory of Money in the Classical Model. If the Federal Reserve increases the money supply, what will happen to the price level if the velocity of money is constant? Describe one cost imposed on consumers and one cost imposed on firms by the increase in the money supply. The Quantity Theory of Money is given by the equation Ms*V = P*Y, and in the Classical Model, V and Y are fixed. Thus, an increase in Ms causes an increase in P, and an increase in the price level is inflation. The two main costs of inflation are shoe leather costs, the additional costs imposed on consumers when inflation causes them to hold less money, and menu costs, the costs imposed on firms when they must readjust their prices to adapt to the changing price level.
II. Problems (worth a total of 30 points)
Answer the following problems in the space provided. Make sure you show all your work and that you write the general form of any formula you use before you enter explicit numbers into the formula. Your work must be neat, legible, and organized in order to get full credit.
1. (15 points total) Consider an economy that has the aggregate production function of the general form Y F ( A, K , L) AK 0.5 L0.5 where A is the level of technology, K is the level of capital, and L is the level of labor. Assume that technology is equal to 1, the level of capital is equal to 81 and the level of labor used is equal to 64 and the price of output is equal to 1. a) (3 points) What is the level of in output the economy? Show your work.
Y
F ( A, K , L) (1)(81) 0.5 (64) 0.5
AK 0.5 L0.5 (1)(9)(8) 72
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b) (3 points) What is labor productivity and (the average) capital productivity at this level of output? Show your work.
Y L Y K 72 1 1 1.125 64 8 72 8 0. 8 81 9
c) (3 points) What are the general forms of the Marginal Product of Capital (MPK) and Marginal Product of Labor ( MPL), and what do these equal given the level of inputs used? Show your work.
MPK 0.5 AK Y K
0.5
L0.5
AK 0.5 L0.5 0.5 AK 0.5 L0.5 K (0.5)(1)(81) 0.5 (64) 0.5 (0.5)(1)(8) /(9)
4/9
0. 4
MPL 0.5 AK
Y L
0.5
AK L
0 .5
0 .5
L
0 .5
L (0.5)(1)(81) 0.5 (64)
0.5 AK 0.5 L
0 .5
0 .5
(0.5)(1)(9) /(8)
9 / 16
0.5625
d) (3 points) What is the level of labor income and capital income in the economy, assuming that input prices are determined in a competitive market? Show your work.
LaborIncome LaborIncome
L * MPL 64 * 0.5625 36 (1 ) * Y (1 0.5) * 72 36
CapitalIncome CapitalIncome
K * MPK 81* 0.4 36 * Y 0.5 * 72 36
e) (3 points) What is the level of Money in the economy if the ratio of income that individuals desire to hold is 25%?
Mv PY 72 v 1 / k 1 / 0.25 M 18
2. (15 points total)
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Consider the following table of price and quantities produced for a small economy.
Year 2000 2001 Price $5 $6 Footballs Quantity 3 4 Price $1 $2 Grapes Quantity 15 20 Price $20 $25 Dresses Quantity 4 5 Price $5 $8.50 Wine Quantity 5 6
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a) (4 points) Assume that all grapes in this economy are used to make wine. Compute nominal GDP for 2000 and 2001. Since grapes are an intermediate good, we do not count the contribution of the grape industry to GDP. We sum the current year prices times the current year quantities of the remaining three goods to get NGDP(2000) = $120, NGDP(2001) = $200. b) (2 points) Continue to assume that all grapes are used to make wine. Using 2000 as the base year, compute real GDP in 2000 and 2001. Again, we ignore the grape industry. We sum the year 2000 price times the current year quantities to get RGDP(2000) = $120, RGDP (2001) = $150. c) (2 points) Find the GDP Deflator for 2000 and 2001 on a 100-point scale. Report your answers to two decimal places, if necessary. GDP Deflator = Nominal GDP / Real GDP, so we have GDP Deflator(2000) = 100, GDP Deflator(2001) = 133.33 d) (1 points) What was the growth rate for real GDP between 2000 and 2001? Express your answer as a percentage. Growth Rate =100*[RGDP(2001) RGDP(2000)] / RGDP(2000) = 25%. e) (4 points) Assume that the typical consumer in this economy purchases 2 footballs, 1 dress, and 4 bottles of wine per year. Using 2000 as the base year, find the CPI in 2000 and 2001 on a 100-point scale. We compute the price of the market basket in each year using the prices in that year times the quantities in the market basket. Thus we have MB(2000) = $50, MB(2001) = $71. We then find the CPI by dividing the price of the market basket in the current year by the price of the market basket in the base year and multiplying by 100. This gives us CPI(2000) = 100, CPI(2001) = 142. f) (2 points) What was the inflation rate in this economy between 2000 and 2001? Express your answer as a percentage. Inflation Rate = 100*[CPI(2001)-CPI(2000)] / CPI(2000) = 42%.
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IV. Essay (worth a total of 20 points)
General Directions for Essay: You are to write an essay on the following topic. This should be a unified, thoughtful essay. The essay will be graded on content, expression, clarity, organization, and overall quality (including legibility).
1. At the end of the Cold War, the US government was able to reduce government spending on the military by 2% of GDP. Consider the two following plans for reallocating this money: a) The government saves the entire amount. b) The government uses the entire amount to start a "homestead" program which subsidizes mortgage payments, which effectively lowers housing prices. For both a) and b), use the Classical Model to analyze what will happen to the equilibrium real interest rate, consumption, and investment relative to the situation before the defense cut. Assume that households save more when real interest rates increase, and vice versa. Which policy will result in a higher rate of long-term growth of the US economy? (Note: while graphs may be useful in helping determine the answer, they are not themselves an answer to the question.) For a), the government is reducing the budget deficit (or increasing the surplus), which shifts the supply curve in the market for loanable funds to the right. By modeling the change in government savings on the supply side, we know that the demand curve does not move. Thus, there is a lower equilibrium interest rate and a higher equilibrium level of investment. Because of the fall in the interest rate, households now save less of their income, and since GDP is fixed in the Classical Model, equilibrium consumption rises. For b), home purchases are a form of investment spending, so making homes cheaper results in more people demanding funds to purchase homes. The demand curve in the market for loanable funds shifts right. Since there is no change in either private or government savings, the supply curve does not move. Thus, both the equilibrium interest rate and the equilibrium level of investment rise. As the interest rate rises, households wish to save more, so equilibrium consumption must fall. One of the factors affecting long-term growth for the economy is the amount of physical capital, and investment is the formation of new plants and equipment i.e., new capital goods. Thus, the plan which leads to a higher equilibrium level of investment should create more long-term growth. However, we do not know which of these policies creates a higher level of investment because we do not know the
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exact shapes of the supply and demand curves in the market for loanable funds. If we had equations for private savings and business investment, we could determine which policy leads to higher long-term growth. (Suggested grading: 2 points for correctly identifying the direction of each change in r, C, and I, 3 points for the ambiguity analysis, 5 points for overall clarity and presentation)
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