It is possible to extend the production function so that output is produced with labor input, N; capital input, K; and carbon-intensive energy input, E. If we write a production function as
Y = N (1/3) K (1/3) E (1/3)
a. Using the input values below, does this production function exhibit constant returns to scale?
b. Solve for the necessary amount of energy to produce the specified level of output in each row below using the production function Y = N (1/3) K (1/3) E (1/3)
c. Comment on the following statement using your results from part b. âBecause of constant returns to scale, in order for output to rise, we must increase our consumption of energy.â
d. Use words to describe how output can increase without an increase in the use of energy. The text points out that there is widespread agreement among economists that a tax on carbon emissions energy is the best way to reduce carbon emissions. How does this proposition fit into the production function above?
> A closer look at changes in state labor markets There is a lot of discussion of the decline of the “Rust Belt” and the differences between labor markets at the state level. The table below is a snapshot of the labor ma
> Go to IMF data mapper (http://www.imf.org/external/ data mapper/datasets). Select the following countries—France, Germany, the UK, Spain, Japan, and the US. Build a table to compare each country’s GDP annual growth and
> 1.Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. Since 1950, the participation rate in the United States has remained roughly constant at 60%. b. Each month, the flows into and
> We have written the IS-LM model in the following terms: Interpret the real policy rate as the federal funds rate adjusted for expected inflation. Assume that the rate at which firms can borrow is much higher than the federal funds rate, equivalently that
> Calculating the risk premium on bonds (1 + i) = (1 – p) (1 + i + x) + p (0) p is the probability that the bond does not pay at all (the bond issuer is bankrupt) and has a zero return. i is the nominal policy interest rate. x is the risk premium. a. If t
> Suppose that instead of cooking dinner for an hour, you decide to work an extra hour, earning an additional $12. You then purchase some (takeout) Chinese food, which costs you $10. a. By how much does measure GDP increase? b. Do you think the increase in
> Consider a bank that has assets of 100, capital of 20, and short-term credit of 80. Among the bank’s assets are securitized assets whose value depends on the price of houses. These assets have a value of 50. a. Set up the bank’s balance sheet. Suppose th
> Around the world Since the Great Financial Crisis and the difficulty to recover growth, a negative interest policy has been implemented by some central banks. Some may or may not be in place as you read this book. As of January 2018, the following centra
> The IS-LM view of the world with more complex financial markets Consider an economy described by Figure 6-6 in the text. a. What are the units on the vertical axis of Figure 6-6? b. If the nominal policy interest rate is 5% and the expected rate of infla
> Consider a simple bank that has assets of 100, capital of 20, and checking deposits of 80. Recall from Chapter 4 that checking deposits are liabilities of a bank. a. Set up the bank’s balance sheet. b. Now suppose that the perceived value of the bank’s a
> Fill in the table below and answer the questions that relate to the data in the table. a. Which situations correspond to a liquidity trap as defined in Chapter 4? b. Which situations correspond to the case where the nominal policy interest rate is at th
> Assume that the interest rate, i, for France and Switzerland is 1.7%, and the expected rate of inflation, πe, in France is 0.8% and for Switzerland it is 0.5%. a. Compute the real interest rates for both countries using the exact formula. b. Compute the
> In the face of a slowdown in economic growth and an increase in current account deficit and inflation, the Indian government decided to implement inflation indexed bonds (IIB) in 2013. When presenting this measure, the Ministry of Finance stated that &ac
> Immediately after the British voted for Brexit, two major credits rating agencies, S&P Global (Standard & Poor’s) and Fitch, downgraded the United Kingdom’s sovereign credit rating by two notches, from AAA to A
> Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. The nominal interest rate is measured in terms of goods; the real interest rate is measured in terms of money. b. As long as expe
> A chapter problem at the end of Chapter 3 considered the effect of a drop in consumer confidence on private saving and investment, when investment depended on output but not on the interest rate. Here, we consider the same experiment in the context of th
> As the first Focus box in this chapter explains, it is difficult to measure the true increase in prices of goods whose characteristics change over time. For such goods, part of any price increase can be attributed to an increase in quality. Hedonic prici
> What mix of monetary and fiscal policy is needed to meet the following objectives? a. Increase Y while keeping i constant. Would investment (I) change? b. Decrease a fiscal deficit while keeping Y constant. Why must i also change?
> In the aftermath of the Great Financial Crisis the Great Financial Crisis left many nations with slow GDP growth rates and high levels of public debt. While most nations pursued a monetary policy, some nations simply lowered income taxes through expansio
> The chapter argues that investment depends negatively on the interest rate because an increase in the cost of borrowing discourages investment. However, firms often finance their investment projects using their own funds. If a firm is considering using i
> Consider the following numerical example of the IS-LM model: C = 100 + 0.3YD I = 150 + 0.2Y - 1000i G = 200 T = 100 i = 0.03 a. Derive the IS relation. b. The central bank sets an interest rate of 3%. How is that decision represented in the equations? c
> Consider the money market to better understand the horizontal LM curve in this chapter. The LM relation (equation 5.3) is M/P = Y L(i). a. What is on the left-hand side of equation (5.3)? b. What is on the right-hand side of equation (5.3)? c. Go back to
> The response of the economy to fiscal policy a. Use an IS-LM diagram to show the effects on output of a decrease in government spending. Can you tell what happens to investment? Why? Now consider the following IS-LM model: C = c0 + c1(Y - T) I = b0 + b1
> Consider first the goods market model with constant investment that we saw in Chapter 3. Consumption is given by C= C0 + C1(Y - T) and I, G, and T are given. a. Solve for equilibrium output. What is the value of the multiplier for a change in autonomous
> To answer this question, examine the changes in the components of GDP over this period and the movements of investment and consumption in China during the last two or three decades and its relative slowdown since the Great Financial Crisis. Along with ot
> As described in this chapter, during the Clinton administration the policy mix changed toward more contractionary fiscal policy and more expansionary monetary policy. This question explores the implications of this policy mix, in both theory and fact. a.
> Read Focus Box “Deficit Reduction: Good or Bad for Investment?” In each case below, there is a fiscal consolidation. Remember that equilibrium condition in good markets can also be written I = S + 1T - G2 a. How does
> a. Okun’s law states that when output growth is higher than usual, the unemployment rate tends to fall. Explain why usual output growth is positive. b. In which year—a year in which output growth is 2% or a year in which it is –2%—will the unemployment r
> Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. The main determinants of investment are the level of sales and the interest rate. b. If all the exogenous variables in the IS rel
> The diagram below shows three different money demand curves and a target interest rate i*
> I described a monetary system that included simple banks in Section 4-3. Assume the following: i. The public holds no currency. ii. The ratio of reserves to deposits is 0.1. iii. The demand for money is given by Md = $Y (0.8 - 4i) Initially, the supply
> This problem examines the effect of the introduction of ATMs and credit cards on money demand. For simplicity, let’s examine a person’s demand for money over a period of four days. Suppose that before ATMs and credit cards, this person goes to the bank o
> In this chapter, you have learned that the interest rate affects both the prices of bonds and the demand for money. a. What is the relationship between interest rates and bond prices? b. Does the relationship hold when interest rates are negative? Why do
> Suppose that a person’s wealth is $50,000 and that her yearly income is $60,000. Also suppose that her money demand function is given by Md = $Y (0.35 – i) a. Derive the demand for bonds. Suppose the interest rate increases by 10 percentage points. What
> Suppose the money demand of an economy is given by Md = €Y (0.25 - i) where €Y is €40,000. Also, suppose that the supply of money is €8,000. a. What is the equilibrium interest rate? b. Suppose the central bank increases the value of equilibrium interest
> Consider a bond that promises to pay $100 in one year. a. What is the interest rate on the bond if its price today is $75? $85? $95? b. What is the relation between the price of the bond and the interest rate? c. If the interest rate is 8%, what is the p
> Suppose that the household nominal income for a country is €50,000 billion. The money demand function is given by Md = €Y(0.2 - 0.8i) a. What is the demand for money when the interest rate is 1%? 5%? b. What is the relationship between money demand and
> The central bank of the Federal Republic of Germany is the Deutsche Bundesbank, also known as BUBA. It is the most influential member of the European Central Bank and the European System of Central Banks. Go to the Web site for BUBA (www.bundesbank.de) a
> The FRED database contains updates of the unemployment rate in Spain (Figure 1-6) as well as unemployment rates for the European Union as a whole and for individual countries for the seasonally adjusted unemployment rate. Retrieve the monthly data series
> Suppose that money demand is given by Md = $Y (0.25 – i) as long as interest rates are positive. The questions below then refer to situations where the interest rate is zero. a. What is the demand for money when interest rates are zero and $Y = 80? b. I
> Suppose the money demand is given by Md= €Y (0.08 - 0.4i) where €Y is €5,000 billion. a. If the money demand is €100 billion, what is the interest rate? b. If a central bank wants to increase money supply to €300 billion, what is the interest rate it sh
> Using the information in this chapter, label each of the following statements true, false, or uncertain. a. Income is a flow variable while financial wealth is a stock variable. b. The term investment, as used by economists, refers to the purchase of bon
> You should be able to complete this question without doing any algebra, although you may find making a diagram helpful for part a. For this problem, you do not need to calculate the magnitudes of changes in economic variables only the direction of change
> This problem examines the implications of allowing investment to depend on output. Chapter 5 carries this analysis much further and introduces an essential relation—the effect of the interest rate on investment—not exa
> Recall that we define taxes, T, as net of transfers. In other words, T = Taxes - Transfer Payments a. Suppose that the government increases transfer payments to private households, but these transfer payments are not financed by tax increases. Instead,
> For each of the economic changes listed in parts a and b, assess the likely impact on the growth rate and the level of output over the next five years and over the next five decades. a. A permanent reduction in the rate of technological progress. b. A pe
> a. Where does technological progress come from for the economic leaders of the world? b. Do developing countries have other alternatives to the sources of technological progress you mentioned in part (a)? c. Examples of developing countries shows that st
> a. Why is the amount of R&D spending important for growth? How do the appropriability and fertility of research affect the amount of R&D spending? How do each of the policy proposals listed in (b) through (e) affect the appropriability and fertility of r
> Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. Writing the production function in terms of capital and effective labor implies that as the level of technology increases by 10%
> How might the policy changes in parts a through e affect the wage gap between low-skill and high-skill workers in the United States? a. Increased spending on computers in public schools. b. Restrictions on the number of foreign temporary agricultural wor
> Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. It is clear that the rate of technological growth has declined in the last decade. b. The change in employment and output per per
> There is a great deal of interest in carbon emissions because of global warming. The World Bank produces data on carbon emissions by country in a variety of forms. It is found at https://data.worldbank.org/indicator/en.atm.co2e. pp.gd. One very interesti
> It is often argued that a balanced budget amendment would actually be destabilizing. To understand this argument, consider the economy in Problem 5. a. Solve for equilibrium output. b. Solve for taxes in equilibrium. Suppose that the government starts wi
> a. What evidence is presented in the text that income inequality has increased over time in the United States? b. Use supply and demand of educated workers to explain the increase in income inequality. c. Use supply and demand of less-educated workers to
> Discuss the potential role of each of the factors listed in parts a through g on the steady-state level of output per worker. In each case, indicate whether the effect is through A, through K, through H, or through some combination of A, K, and H. A is t
> Suppose that the economy’s production function is that the saving rate, s, is equal to 16%, and that the rate of depreciation, d, is equal to 10%. Suppose further that the number of workers grows at 2% per year and that the rate of tec
> Suppose that there are only two goods produced in an economy: haircuts and banking services. Prices, quantities, and the number of workers occupied in the production of each good for year 1 and for year 2 are given in the table: a. What is nominal GDP
> Use the official or key interest rates database from the European Central Bank (ECB) Web site (https://www.ecb. europa.eu) and trace the evolution of the decisions of the ECB regarding deposit facility, that is, the remuneration of the commercial bank de
> In this chapter, we discussed the effect of inflation on the effective capital-gains tax rate on the sale of a home. In this question, we explore the effect of inflation on another feature of the tax code the deductibility of mortgage interest. Suppose y
> The United States (unlike other countries) has two types of bank-like financial institutions. Member banks can borrow from the Federal Reserve at the discount rate and must keep currency in their vaults or deposits at the Federal Reserve earning the depo
> Most home-buyers purchase their home with a combination of a cash down payment and a mortgage. The loan-to-value ratio is a rule that establishes the maximum mortgage loan allowed on a home purchase. a. If a home costs $300,000 and the maximum loan-to va
> It was noted in the text that the Federal Reserve purchased, in addition to Treasury bills, large amounts of mortgage-backed securities and long-term government bonds as part of quantitative easing. Figure 23-2 shows that in 2015, there were about $4 tri
> In this chapter we have assumed that the fiscal policy variables G and T are independent of the level of income. In the real world, however, this is not the case. Taxes typically depend on the level of income and so tend to be higher when income is highe
> In Chapter 14, in the Focus Box titled “The Vocabulary of Bond Markets,” the concept of an inflation-indexed bond was introduced. Although such bonds are typically long in maturity, the example that follows compares a standard one-year Treasury bill with
> Nearly every major central bank has chosen an inflation target of 2%. a. Why might a central bank choose a lower inflation target, for example, zero inflation? b. Why might a central bank choose a higher inflation target, for example, 4% inflation?
> The money demand relationship in Chapter 4 is used implicitly in Figure 23-1. That relation is M P = YL1i2 The central bank in conjunction with the political authorities chooses an inflation target π*. a. Derive the target nominal interest ra
> Problem 10 in Chapter 4 asked you to consider the current stance of monetary policy. Here, you are asked to do so again, but with the additional understanding of monetary policy you have gained in this and previous chapters. a. Go to the ECB Web site (ht
> Use the FRED database at the Federal Reserve Bank of St. Louis to find the monthly average nominal policy interest rates for four major central banks. The series for these rates are: United States, federal funds (FEDFUNDS); United Kingdom, (INTDSRGBM193N
> Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. The most important argument in favor of a positive rate of inflation in OECD countries is seignorage. b. Fighting inflation shoul
> Consider an economy characterized by the following facts: i. The debt-to-GDP ratio is 40%. ii. The primary deficit is 4% of GDP. iii. The normal growth rate is 3%. iv. The real interest rate is 3%. a. Using your favorite spreadsheet software, compute
> First consider an economy in which Ricardian equivalence does not hold. a. Suppose the government starts with a balanced budget. Then, there is an increase in government spending, but there is no change in taxes. Show in an IS-LM diagram the effect of th
> For both political and macroeconomic reasons, governments are often reluctant to run budget deficits. Here, we examine whether policy changes in G and T that maintain a balanced budget are macroeconomically neutral. Put another way, we examine whether it
> Consider an economy characterized by the following facts i. The official budget deficit is 7.8% of GDP ii. The debt-to-GDP ratio is 123% iii. The inflation rate is 0.4% iv. The nominal interest rate is 0.25% a. What is the primary deficit/surplus ratio t
> Consider the following statement: A deficit during a war can be a good thing. First, the deficit is temporary, so after the war is over, the government can go right back to its old level of spending and taxes. Second, given that the evidence supports the
> Using information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. The deficit is the difference between real government spending and taxes net of transfers. b. The primary deficit is the difference b
> The European Central Bank Created by the Maastricht Treaty on European Union (EU) of 1992, the European Central Bank (ECB) was set up on June 1, 1998. a. In your opinion, does the following excerpt from the statute make the policy goals of the ECB clear
> This exercise tries to illustrate a debate in a centralized economy, which is in the process of being modernized, with a single political party. Social stability is the main concern of the government, but it faces two obstacles: one being support a stren
> In 2018 New Zealand rewrote the charter of its central bank to include high employment as well as low inflation as its goals. Why would New Zealand want to do this?
> In 1989, New Zealand rewrote the charter of its central bank to make low inflation its only goal. Why would New Zealand want to do this?
> Suppose the government amends the constitution to prevent government officials from negotiating with terrorists. What are the advantages of such a policy? What are the disadvantages?
> Use the economy described in Problem 2. a. Compute private saving, public saving, and investment spending. b. Solve for equilibrium output. Compute total demand. Explain how it affects production. c. Assume that G is now equal to €300 b
> From Problem 5, write down the quarters in which the recessions started. Find the monthly series in the Federal Reserve Bank of St. Louis (FRED) database for the seasonally adjusted unemployment rate in the United States entitled civilian unemployment ra
> Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. There is so much uncertainty about the effects of monetary policy that we would be better off not using it. b. Depending on the m
> Two of the largest trading partners of the United States are Canada and Mexico. The FRED database at the Federal Reserve Bank of St. Louis maintains four series that are useful to us: A Real Broad Effective Exchange rate for Mexico (RBMXBIS); A Real Broa
> Look at Figure 1 in the box “The 1992 EMS Crisis.” European nominal exchange rates had been fixed between the major currencies from roughly 1979 to 1992. a. Explain how to read the vertical axis of Figure 1. What count
> Equation (20.5) provides insight into the movements of nominal exchange rates between a domestic and a foreign country. Remember that the time periods in the equation can refer to any time unit. The equation is: a. Suppose we are thinking of one-day time
> An exchange rate crisis occurs when the peg (the fixed exchange rate) loses its credibility. Bond holders no longer believe that next period’s exchange rate will be this period’s exchange rate. a. Solve the uncovered
> Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. If the nominal exchange rate is fixed, the real exchange rate is fixed. b. When domestic inflation equals foreign inflation, the
> Suppose that an economy is characterized by the following behavioral equations (in billions of euros): a. Equilibrium GDP (Y) b. Disposable income (YD) c. Consumption spending (C).
> This question explores how an increase in global demand for domestic assets may slow down the depreciation of the domestic currency. Here, we modify the IS-LM-UIP framework to analyze the effects of an increase in the demand for foreign assets. Write the
> The effectiveness of monetary policy in an open economy is enhanced when the central bank has the flexibility to change the exchange rate and the willingness to change interest rates. Suppose that there is a decrease in consumer confidence in Tunisia, gi
> Consider a fixed exchange rate system, in which a group of countries (called follower countries) peg their currencies to the currency of one country (called the leader country). Because the currency of the leader country is not fixed against the currenci
> Suppose there is an expansionary fiscal policy in the foreign country that increases Y* and i* at the same time. a. In an IS-LM–UIP diagram, such as Figure 19-2, show the effect of the increase in foreign output, Y*, and the increase in
> Consider an open economy with flexible exchange rates. Let UIP stand for the uncovered interest parity condition. a. In an IS-LM–UIP diagram, such as Figure 19-2, show the effect of an increase in foreign output, Y*, on domestic output
> In this chapter, we showed that a reduction in the interest rate in an economy operating under flexible exchange rates leads to an increase in output and a depreciation of the domestic currency. a. How does the reduction in interest rates in an economy w
> Consider an open economy with flexible exchange rates. Suppose output is at the natural level, but there is a trade deficit. The goal of policy is to reduce the trade deficit and leave the level of output at its natural level. What is the appropriate fis
> Use a search engine to find material on the Trump administration tariffs’ impact on the economy. What do economists say about them? You will learn something even by just reading the heading and the first paragraph of three to five articles.
> Using the information in this chapter, label each of the following statements true, false, or uncertain. Explain briefly. a. The interest rate parity condition means that interest rates are equal across countries. b. other things being equal, the intere
> a. National saving is defined as private saving plus government surplus, that is, S + T - G. Now, using equation (18.5), describe the relation among current account deficit, net investment income, and the difference between national saving and domestic i
> The Tax Cut and Jobs Act was passed by Congress in December 2017. GDP grew from $18,000 billion (2012 dollars) in 2017 to $18,500 billion (2012 dollars) in 2018. a. By what percentage did real GDP grow from 2017 to 2018? b. Estimates from the Congression