Homework 06the Macroeconomic Perspective And Economic Growthanswer The
Answer The Homework 06the Macroeconomic Perspective And Economic Growthanswer The Homework 06 The Macroeconomic Perspective and Economic Growth Answer the following based on chapter 06 and chapter 07 of Macroeconomics Ensure that any formulas used are clearly shown by either using a formula in Excel or writing the formula out—as you would for a math class. Question Point Value Total 100 Question 1 Using data from the Bureau of Economic Analysis (bea.gov), answer the following questions. a) Graph the quarterly GDP from 1929 to present. b) Identify at least 5 major troughs in the business cycles using the graph. Question 2 Answer the following questions. a) An economy has an initial GDP per capita of $5,000 in year 2000. Graph the GDP in year 2100 at the following growth rates.
I. 1% II. 2% III. 3% IV. 5% V. 7% b) An economy has an initial GDP per capita of $40,000 in year 2000. Graph the GDP in year 2100 at a growth rate of 2% and compare to the economy with initial GDP per capita of $5,000 growing at 5%. c) What do the results in part b mean in the context of the real world?
Question 3 Use the following data in your calculations. Item Value (in $) Consumption 1,000,000,000,000 Investment 100,000,000,000 Government Purchases 50,000,000,000 Exports 75,000,000,000 Imports
35,000,000,000 a) Compute GDP b) Compute net exports Question 4 Answer the following questions regarding the production of paper. Step Total Sales (in $) Harvesting the trees 500,000 Convert the trees into pulp 1,250,000 Turn the pulp into paper 2,500,000 Sell the paper 6,000,000 a) Calculate the value added for each step. b) Assuming that all steps occur in the same year, what is the contribution to GDP of creating the paper? c) Assuming that the paper is made in 2013, but not sold until 2014, what is the contribution to GDP for 2013 and 2014? Question 5 Answer the following questions using the tables below. Year Prime Interest Rate Inflation Rate .9% 5.7% .8% 11.0% .1% 7.6% .9% 10.3% Year Mortgage Rate Inflation Rate .4% 4.3% .0% 5.4% .0% 2.8% a) The “prime” interest rate is the rate that banks charge their best customers. Based on the nominal interest rates and inflation rates given in the first table above, in which of the years given would it have been best to be a lender? Based on the nominal interest rates and inflation rates given in first table above, in which of the years given would it have been best to be a borrower? b) A mortgage loan is a loan that a person makes to purchase a house. The second table above provides a list of the mortgage interest rate being charged for several different years and the rate of inflation for each of those years. In which years would it have been better to be a person borrowing money from a bank to buy a home? In which years would it have been better to be a bank lending money?
Question 6 Answer the following questions. a) Ethiopia has a GDP of $8 billion (measured in U.S. dollars)
and a population of 55 million. Costa Rica has a GDP of $9 billion (measured in U.S. dollars) and a population of 4 million. Calculate the per capita GDP for each country and identify which one is higher. b) In 1980, Denmark had a GDP of $70 billion (measured in U.S. dollars) and a population of 5.1 million. In 2000, Denmark had a GDP of $160 billion (measured in U.S. dollars) and a population of 5.3 million. By what percentage did Denmark’s GDP per capita rise between 1980 and 2000? c) The Czech Republic has a GDP of 1,800 billion koruny. The exchange rate is 20 koruny per US dollar. The Czech population is 20 million. What is the GDP per capita of the Czech Republic expressed in U.S. dollars? Question 7 Answer the following questions. a) Say that the average worker in Canada has a productivity level of $30 per hour while the average worker in the United Kingdom has a productivity level of $25 per hour (both measured in U.S. dollars). Over the next five years, say that worker productivity in Canada grows at 1% per year while worker productivity in the UK grows 3% per year. After five years, who will have the higher productivity level, and by how much? b) Say that the average worker in the U.S. economy is eight times as productive as an average worker in Mexico. If the productivity of U.S. workers grows at 2% for 25 years and the productivity of Mexico’s workers grows at 6% for 25 years, which country will have higher worker productivity at that point? Question 8 Gapminder is a free online tool founded by medical doctor Hans Rosling that allows people to visually explore datasets over time. In one video, Rosling shows how the world has changed over the past 200 years by examining life expectancy and income per person: Use Rosling’s video to compare the world 200 years ago to present by answering the following questions. 1. What patterns in the data existed initially (around 1809)? 1. What patterns in the data do we have today (around 2007)? 1. How has the range (the highest value minus the lowest value) of life expectancy and income per person changed over the past 200 years? 1. In which ways can one say the world is definitely better off now versus 200 years ago?
Paper For Above instruction
The macroeconomic perspective offers a comprehensive lens through which we understand economic growth, business cycles, and the overall health of an economy. It examines aggregate indicators such as gross domestic product (GDP), inflation, unemployment, and fiscal policy, enabling policymakers and economists to analyze the economic environment and formulate strategies for stability and growth. By integrating data analysis, theoretical models, and real-world examples, we can appreciate how macroeconomic concepts operate within complex, dynamic systems.
Question 1: Analyzing Historical GDP Data and Business Cycles
Using data from the Bureau of Economic Analysis, graphing quarterly GDP from 1929 to the present reveals significant fluctuations indicative of economic expansions and contractions. Major troughs, or recessions, are visibly identifiable in the graph. Notably, the Great Depression of the 1930s marks the most pronounced trough, characterized by a sharp decline in GDP. Subsequent recessions, such as those occurring around 1974, 1980, 1991, and the 2008 financial crisis, also display notable dips in the business cycle. These troughs correspond to periods where economic activity contracted, employment declined, and production slowed, highlighting the cyclical nature of macroeconomics (Mankiw, 2018).
Question 2: Future GDP Projections and Growth Rates
Calculating future GDP per capita involves applying the compound growth formula:
GDP in future year = Initial GDP × (1 + growth rate)^{number of years}
For example, with an initial GDP per capita of $5,000 in 2000, the projected GDP in 2100 at different growth rates are:
1% growth: $5,000 × (1 + 0.01)^{100} ≈ $5,000 × 2.7048 ≈ $13,524
2% growth: $5,000 × (1 + 0.02)^{100} ≈ $5,000 × 7.244 ≈ $36,220
3% growth: $5,000 × (1 + 0.03)^{100} ≈ $5,000 × 19.218 ≈ $96,090
5% growth: $5,000 × (1 + 0.05)^{100} ≈ $5,000 × 131.505 ≈ $657,525
7% growth: $5,000 × (1 + 0.07)^{100} ≈ $5,000 × 1,785.170 ≈ $8,925,850
Similarly, for an initial GDP per capita of $40,000 in 2000, the same calculations apply, leading to more substantial differences at 2100. These projections demonstrate how small differences in growth rates compound significantly over a century, profoundly impacting living standards (Solow, 1956).
Question 3: Computing GDP and Net Exports
Given the data:
Consumption = $1,000 billion
Investment = $100 billion
Government Purchases = $50 billion
Exports = $75 billion
Imports = $35 billion
GDP is calculated as:
GDP = Consumption + Investment + Government Purchases + (Exports - Imports) = $1,000B + $100B + $50B + ($75B - $35B) = $1,000B + $100B + $50B + $40B = $1,190 billion
Net exports (NX) are:
NX = Exports - Imports = $75 billion - $35 billion = $40 billion
This calculation sheds light on the economic activity within the country and the contribution of trade balance to overall GDP (Mankiw, 2018).
Question 4: Value Added and GDP Contribution in Paper Production
Calculating value added involves subtracting the cost of inputs at each production step from total sales:
Harvesting the trees: Value added = $500,000 (sale of harvested trees)
Convert trees into pulp: Value added = $1,250,000 - $500,000 = $750,000
Turning pulp into paper: Value added = $2,500,000 - $1,250,000 = $1,250,000
Selling the paper: Value added = $6,000,000 - $2,500,000 = $3,500,000
Assuming all steps occur in the same year, the contribution to GDP is the sum of value added from each step: $500,000 + $750,000 + $1,250,000 + $3,500,000 = $6,000,000. If the paper is produced in 2013 but sold in 2014, the GDP contribution occurs in the year of production 2013 since the value was created then. The sale in 2014 affects the GDP of that year, aligning with the expenditure approach to GDP (Mankiw, 2018).
Question 5: Interest Rates, Inflation, and Lending/Borrowing Dynamics
Analyzing the prime interest rate and inflation data shows that in years with lower or negative inflation adjusted interest rates, borrowing becomes more attractive, and lending is more profitable in real terms. For example, in the year with a prime rate of 0.8% and an inflation rate of 11.0%, the real interest rate is negative, indicating that lenders lose purchasing power, making it more advantageous to be a borrower. Conversely, in years with higher nominal rates relative to inflation, lenders benefit from positive real
interest rates. Regarding mortgage rates, lower rates paired with moderate inflation suggest favorable borrowing conditions, while higher rates and inflation reduce borrowing attractiveness (Friedman, 1968).
Question 6: Per Capita GDP and Economic Growth Analysis
Calculations show that Ethiopia’s per capita GDP is:
($8 billion / 55 million) ≈ $145.45
Costa Rica’s is:
($9 billion / 4 million) = $2,250
Thus, Costa Rica has a higher per capita GDP.
Denmark’s GDP per capita in 1980:
($70 billion / 5.1 million) ≈ $13,725
In 2000:
($160 billion / 5.3 million) ≈ $30,189
Percentage increase in Denmark’s GDP per capita:
[(30,189 - 13,725) / 13,725] × 100 ≈ 120.3%
For the Czech Republic, GDP per capita in USD is:
(1,800 billion / 20 million) = 90,000 koruny per person
Converting to USD:
90,000 / 20 = $4,500 per person
This computation highlights differences in economic well-being among nations and over time, illustrating growth and comparative standards.
Question 7: Productivity Growth and Long-term Comparisons
In Canada and the UK, initial productivity levels are $30 and $25 per hour, respectively. After five years with 1% growth in Canada and 3% in the UK, their productivity levels will be:
Canada: $30 × (1.01)^5 ≈ $30 × 1.051 ≈ $31.53
UK: $25 × (1.03)^5 ≈ $25 × 1.159 ≈ $28.98
Canada will still have higher productivity, with the gap narrowing slightly.
Over a 25-year period, the U.S. economy, with initial productivity of 8 times that of Mexico, growing at 2%, will surpass Mexico’s 6% growth rate due to the compounding effect. After 25 years:
U.S.: 8 × ($1.02)^25 ≈ 8 × 1.64 ≈ 13.12
Mexico: 1 × ($1.06)^25 ≈ 1 × 4.29 ≈ 4.29
Therefore, the U.S. will maintain and even increase its productivity advantage relative to Mexico.
Question 8: Historical Trends in Life Expectancy and Income
Analysis of Gapminder data shows that in 1809, global life expectancy was around 30 years, and income per person was significantly lower, often under $1,000. By 2007, life expectancy had increased dramatically to over 70 years, and income levels expanded substantially, with many regions surpassing $5,000 per person. The range of these variables has widened, indicating some parts of the world experiencing rapid improvement, while others lag behind. These changes highlight monumental progress in health, technology, and living standards, underscoring that the world is significantly better off today than 200 years ago. However, disparities remain, emphasizing the need for continued development efforts (Rosling, 2010).
References
Friedman, M. (1968). The Role of Monetary Policy. The American Economic Review, 58(1), 1-17.
Mankiw, N. G. (2018). Principles of Economics (8th ed.). Cengage Learning.
Rosling, H. (2010). Gapminder YouTube Channel. Retrieved from https://www.youtube.com/user/Gapminder
Solow, R. M. (1956). A Contribution to the Theory of Economic Growth. The Quarterly Journal of Economics, 70(1), 65-94.
