Macroeconomics (Fourth Edition)
4th Edition
ISBN: 9780393603767
Author: Charles I. Jones
Publisher: W. W. Norton & Company
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Question
Chapter 3, Problem 13E
(a)
To determine
Determine the number of years.
(b)
To determine
Determine the level of per capita income.
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GDP per capita in the United States was approximately $63,000 in 2020. Use the growth formula (see below) to answer the following questions:
Growth formula: (future value) = (present value) × (1 + r)t
present value = this year's GDP per capita
future value = GDP per capita in the future
r = rate of growth (in decimal form) per year
What will GDP per capita be in the year 2025 if it grows each year by 2.5 percent?
Fill in the third blank.
Italy is a relatively rich country with per-capita GDP of $28,000. India is a relatively poor with per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find how many years it will take for India’s per capita GDP to equal Italy’s current per-capita GDP of $28,000.
How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP?
India's per-capita GDP must double __________ times.
Use the rule of 70 to find how many years it will take for India's per-capita GDP to double once at a 5% growth rate.
Doubling time: ______________________ years
How many years will it take for India to reach Italy’s current level of GDP per capita?
It will take ________________ years for India to reach Italy's current level of GDP per capita.
Suppose a country has a real GDP per capita of $68,000 and grows at a constant rate for the next 36 years. How much larger (in percentage terms) is this country if its growth rate is 4.33% instead of 3.13% after 36 years of growth? Answer this as a percentage and round your answer to two digits after the decimal without the percentage sign. ex. If you found the rate to be 5.125%, answer 5.13.
Chapter 3 Solutions
Macroeconomics (Fourth Edition)
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Similar questions
- List the areas where government policy can help economic growth.arrow_forwardFill in the second blank. Italy is a relatively rich country with per-capita GDP of $28,000. India is a relatively poor with per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find how many years it will take for India’s per capita GDP to equal Italy’s current per-capita GDP of $28,000. How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP? India's per-capita GDP must double __________ times. Use the rule of 70 to find how many years it will take for India's per-capita GDP to double once at a 5% growth rate. Doubling time: ______________________ yearsarrow_forwardSuppose Egypt has a real GDP per capita of $28,000. If real GDP per capita grows at a 3.5% annual rate, how long will it take for real GDP per capita to reach $70,000 in Egypt?arrow_forward
- Real GDP per capita in the country of Arcadia grew from about $4,666 in 1900 to about $42,069 in 2008, which represents an annual growth rate of 2.06 percent. If Arcadia continues to grow at this rate, calculate the number of years when its real GDP per capita will double. years. (Enter your response as an integer.)arrow_forwardAssume real per capita GDP in West Swimsuit is $8,000 while in South Darlinia it is $2,000. The annual growth rate in West Swimsuit is 2.33%, while in South Darlinia it is 7%. How many years will it take for South Darlinia to catch up to the real per capita GDP of West Swimsuit? What will the income of the two countries be when it is equal? type answer only. Do it correctly. Multiple votes will given accordingly.arrow_forwardFill in the blank Italy is a relatively rich country with per-capita GDP of $28,000. India is a relatively poor with per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find how many years it will take for India’s per capita GDP to equal Italy’s current per-capita GDP of $28,000. How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP? India's per-capita GDP must double ________________________ times. Use the rule of 70 to find how many years it will take for India's per-capita GDP to double once at a 5% growth rate.arrow_forward
- The horizontal axis of the figure below shows log of real personal income per person in 1880 for 47 U.S. states. The vertical axis shows the average annual growth rate of real personal income per capita for each state from 1880 to 2000. The two-letter abbreviation identifies the state. The solid line is the straight line that provides the best fit to the relation between the growth rate of income per person and the level of income per person in 1880. Based on this figure, discuss whether the U.S. states do or do not exhibit convergence. Explain.arrow_forwardQ)Consider three economies,each of which has GDP per capita of $100. Trend growth in these economies is 2%, 2.5% and 5% respectively. Calculate GDP per capita for each economy after 5, 10, 20, 50 and 100 years.arrow_forward#1: A lower income economy starts off with a per capita GDP of $5,000. How large will the per capita GDP be if it grows at an annual rate of 2% for 10 years? 2% for 30 years? 4% for 10 years? 4% for 30 years? Explain why the difference between 2% and 4% growth matters? #2: List some arguments for and against the likelihood of “convergence”. What sorts of policies can governments implement to encourage convergence? #3: What determines how productive workers are? How do gains in labor productivity lead to gains in GDP per capita?arrow_forward
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