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Queen’s University Department of Economics Econ 222 Midterm Examination Spring 2001 May 29th, 2001 Marina Adshade Please read all the questions carefully. Record your responses in the answer booklet provided. Answers without any explanations will receive zero marks. You are encouraged to draw diagrams to support your answers. The exam has two parts. Part I consists of true, false, uncertain question. Marks will be awarded based on the logical arguments given to support your answer. Do any five of the seven questions. Each question is worth 10 marks for a total of 50 marks. Part II consists of long questions. Do any two of the three questions. Each question is worth 25 marks for a total of 50 marks. The exam is 90 minutes long. Upon completion of your exam, only hand in the answer booklet. Keep the question paper for future reference. Good Luck! Part I Answer any 5 of the following 7 questions. Please explain whether they are true, false or uncertain. Each question is worth 10 marks for a total of 50. One mark will be allocated for correctly stating whether the statement is true, false or uncertain. The remained of the marks will be given based on the explanation. 1. A government decides to cut taxes and finance their spending by creating a budget deficit. Macroeconomists agree that by doing so they will increase the current account deficit. 2. The Canadian government announces a decision to fund universal daycare while keeping taxes constant. Assuming a Keynesian consumption function this decision will increase absorption and decrease the current account by less than the cost of financing the program. 3. An increase in aggregate wealth will cause an increase in consumption and savings, increasing the level of desired savings and desired investment and decreasing the interest rate when the goods market is in equilibrium. 4. It is possible to have an increase in both the employment rate and the employment ratio at the same time. 5. A new productivity breakthrough in computer technology increases the Marginal Productivity of Labour next year relative to this year. This reduces this year’s level of employment and increases this year’s real wage. 6. A Canadian purchases a surfboard from California for $100. The surfboard shop in California uses the $ 100 to purchase US dollars from a bank. The bank sells the $100 to the Bank Of Canada for US dollars. The current account has decreased by $100 but the capital account (in the form the of official reserve assets) has also decreased by $100 (as the Bank reduced its foreign holdings) causing a $200 reduction in the Balance of Payments. 7. The country of Lesotho has approximately 60% of its working-age male population employed in neighbouring South Africa’s mines. The common practice of crossing the border to work accounts for Lesotho’s large, negative NFP relative to its GDP. Part II Answer any 2 of the following 3 questions. Please attempt all parts of each question and support you answers with graphs. Each question is worth 25 marks. 1. An economy has full employment output of 600. Government purchases, G, are 120. Desired consumption and investment are given by: Cd = 360 - 200r +0.10Y Id = 120 - 400r Where Y is output and r is the real interest rate. Assume for now that there are no taxes. (a) Derive the equation for desired national savings. (b) Write the Goods Market Equilibrium Condition and determine the market clearing interest rate. (c) Now consider the introduction of a proportional tax system with a rate of taxation (t) on income. Now derive the new equation for desired national savings as a function of the interest rate and the tax rate. Determine the new market clearing interest rate when t = 0.10. Use diagrams to support your answer. 2. Consider an economy with two large open economies, call them country Here and country There. Assume initially that there are no taxes in either economy. The savings and investment characteristics of Here are: Sd = 20 +200 rw Id = 30 – 200 rw Output (Y) is $100 and Government Purchases (G) is $25. The savings and investment characteristics of There are: Sd = 40 +100 rw Id = 75– 400 rw Output (Y) is $150 and Government Purchases (G) are $30. (a) Calculate the equilibrium world interest rate. (b) Calculate the Current Account for each country. Who is the net borrower? Who is the Net lender? (c) The government of Here announces that it is going to finance it’s spending by leveling a tax on corporate revenue. Using diagrams show the flowing: 1. The effect of the new tax on the goods market equilibrium of Here. 2. The effect of the tax on the world interest rate and on the level of international lending. 2. Suppose a firm's daily output and labour input are given in the following table. The level of Capital Stock is fixed. Workers 0 1 2 3 4 5 6 Output 0 8 14 18 21 23 24 (a) What is the marginal product of labour (MPN) for each of the entries? (b) The firm sells its products at a price of $10/unit. If the wage rate is $30 per day, what is the firm's profit-maximizing employment level? (c) If there is a beneficial supply shock that causes the MPN to increase by 2 at any given level of labour input, at the wage rate of $30, what will be the new profit-maximizing level of employment? (d). The country of Zaboom produces squash and potatoes. The quantities produced are as follows, with the price of each listed in dollar terms: Year Squash Potatoes 1999 Quantity Price 8,000 $4 6,000 $8 2000 Quantity Price 10,000 $3 5,000 $14 Using a variable-weight index (such as the GDP deflator), with 1999 as the base year, determine the following: 1. Price index for 1999 2. Price index for 2000 3. The growth rate of Real GDP Answers: Part I: 1. False or uncertain. It depends whether or they believe that Ricardian Equivalence holds. If they believe that people will perfectly forecast the future tax increase needed to finance the deficit generated today then they will not adjust their consumption decision today. Desired Savings and the current account deficit will remain unchanged. If people to not foresee the future tax increase they will increase consumption and decrease the current account, increasing the current account deficit. 2. False. Two things happen here. Government spending increases. This alone causes absorption to increase and the current account to decrease. However this type of program will also increase the income level of people who are currently paying their daycare expenses. With a Keynesian consumption function this increase in income will generate an increase in consumption increasing absorption more than the original increase in government spending. Therefore the current account will decrease by more than the cost of financing the program. 3 False. Increases in wealth increase consumption decreasing savings as a function of income. This shifts the savings curve to the left increasing the interest rate and decreasing savings and investment. 4. True. If the participation rate increases and this is accompanied by an increase in the number of employed people the unemployment rate would increase, as would the employment ratio. 5. True: Increases in the expected future real wage cause the labour supply curve to shift to the left. Because there has been no change in the MPN in this period labour demand is unchanged decreasing the the level of employment and increasing the real wage. 6. False: The sale of US dollars is a $100 reduction in the Balance of Payments. The $100 import is a decrease in the Current Account. The Capital Account rises by $100 when the official settlements account reduces (a capital inflow). 7. False. NFP are large and positive. Part II: 1. (a) Sd=60 + 200r (b) r = 10% and Y = Cd + Id + G (c) r = 19% and Sd = 60 –540t + 200 r (no marks given without diagrams) 2. a) rW = 0.05 b) Here: CA=10 (net lender) There: CA=-10 (net borrower) c) 1. There should be diagrams showing the increase in the tax-adjusted user cost of capital leading to shift to the left of the investment curve in the good market equilibrium. 2. There should be two diagrams showing that the world interest rate drops and the level of international borrowing by There increase and the level of international lending by here increases. 3. a) Workers 0 1 2 3 4 5 6 b) 4 c) 1. 1.00 2. 1.25 3. 0% MPN 0 8 6 4 3 2 1