Econ Macro (book Only)
6th Edition
ISBN: 9781337408745
Author: William A. McEachern
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 19, Problem 1P
To determine
The expected years that the per capita income of the Democratic Republic of Congo will take to surpass the per capita income of the United States of America.
Concept Introduction:
The per capita income index is an indicator of how much an individual earns in comparison to his peers in an economy during a specific period of time. This indicator helps to understand the standard of living of individuals in different countries by comparing their average per capita income with one another.
Expert Solution & Answer
Explanation of Solution
Currently the per capita income of United States is 160 times greater than the per capita income of Congo. The per capita income growth of United States is 3% per annum in comparison to 6% per annum per capita growth of Congo. Thus, we can understand that Congo’s per capita income growth is 3% faster per annum than the United States.
To calculate the number of years that Congo requires for surpassing the per capita growth of United States:
Where,
g = growth rate
t = number of years required
n = per capita income
Hence, in 171.70 years, the Democratic Republic of Congo’s per capita income will surpass the per capita income of the United States of America, if both the countries continue to grow at the current growth rate annually.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
(Words apart) Per capita income most recently was about 160 times greater in the US that in Democratic Republic of the Congo. Suppose per capita income grows an average of 3 percent per year in the richer country and 6 percent per year in the poorer country. Assuming such growth rates continue indefinitely into the future, how many years would it take before per capita income in the Congo exceeds that of the US? (to simplify the math, suppose at the outset per capita income is $160000 in the richer country and $1000 in the poorer country.)
What has been the average annual growth rate of U.S. real GDP per person over the 120 years from 1900 to 2020?
In which decade, beginning with the 1960s, was the growth of potential GDP per person greatest and slowest?
Over the 120 years from 1900 to 2020, the average annual growth rate of U.S. real GDP per person is
enter your response here
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.
Chapter 19 Solutions
Econ Macro (book Only)
Knowledge Booster
Similar questions
- An economy starts off with a GDP per capital of 12,000 euros. How large will the GDP per capita be if it grows at an annual rate of 3 for 10 years? 3 for 30 years? 6 for 30 years?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_forwardA mathematical approximation called t he rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. Thus, if Mexico’s real GDP per person is growing at 7 percent per year, it will take about 10 years (= 70 / 7) to double. Apply the rule of 70 to solve the following problem. Real GDP per person in Mexico in 2005 was about $11,000 per person, while it was about $44,000 per person in the United States. If real GDP per person in Mexico grows at the rate of 5 percent per year, about how long will it take Mexico’s real GDP per person to reach the level that the United States was at in 2005? (Hint: How many times would Mexico’s 2005 real GDP per person have to double to reach the United States’ 2005 real GDP per person?)arrow_forward
- Suppose that two nations start out in 2007 with identical levels of output per work hour-say, $100 per hour. In the first nation, labor productivity grows by 1 percent per year. In the second, it grows by 2 percent per year. Use a calculator or a spreadsheet to determine how much output per hour each nation will be producing 20 years later, assuming that labor productivity growth rates do not change. Then, determine how much each will be producing per hour 100 years later. What do your results tell you about the effects of small differences in productivity growth rates?arrow_forwardSuppose that the average annual rate of population increase in Econland in recent years was about 2 percent. Based on this rate of growth, the population of Econland will double in about 35 years. 11 years. 7 years. 46 years.arrow_forwardSuppose that real GDP per capita of the United States is $32,000 and its growth rate is 2% per year and that real GDP per capita of China is $4,000, and its annual growth rate is 7%. How long will it take real GDP per capita of the United States to double?arrow_forward
- Fill 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_forwardQuestion Approximately how long will it take Ethiopia to double its real GDF per person of S100 if its growth rate of real GDP per person is 0.9 63 years 77.7 years 70 years 109 years 100 years If Country A's real GDP grows at a rate of 14 percent per year, how many years will it take for Country A's real GDP to double? 10 7 5 30 14 Labor productivity is defined as total real GDP. real GDP per person. total output multiplied by total hours of labor. real GDP per hour of labor. hours of work per person. An increase in labor productivity increases the standard of living. decreases the standard of living. might be the result of an increase in the quantity of labor. generally occurs when physical capital decreases because firms must then hire more workers. cannot occur without a corresponding increase in employment. Last year, in a nation far to the South, real GDP was $90 million 900.000 workers were employed. This year real GDP is $100 million. 950.000 workers are…arrow_forwardSuppose an economy’s real GDP is $30,000 in year 1 and $31,200 in year 2. What is the growth rate of its real GDP? Assume that population is 100 in year 1 and 102 in year 2. What is the growth rate of real GDP per capita?arrow_forward
- What has been the average annual growth rate of U.S. real GDP per person over the 120 years from 1900 to 2020? In which decade, beginning with the 1960s, was the growth of potential GDP per person greatest and slowest? Over the 120 years from 1900 to 2020, the average annual growth rate of U.S. real GDP per person is ____ percentarrow_forwardReal GDP in Country Z is growing at 5 per cent and its population is growing at 2 per cent. In Country L, real GDP is growing at 4 per cent and its population is growing at 0.5 per cent. Thus, Select one:- a. real GDP per person in Country L is growing at a faster rate than in Country Z. b. real GDP per person in Country L is growing at a rate that is not comparable to that in Country Z. c. real GDP per person in Country L is growing at the same rate as in Country Z. d. real GDP per person in Country Z is growing at a faster rate than in Country L.arrow_forwardIf a country experiences real economic growth of 12% per year, it can go from being one of the poorest to one of the richest in Question 47 options: one generation. In the last couple of decades China’s growth rate has been higher than 12%. one generation. However, in the last couple of decades not even China’s growth rate has been this high. three generations. In the last 75 years China’s growth rate has been higher than 12%. three generations. However, in the last couple of decades not even China’s growth rate has been 12%.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Exploring EconomicsEconomicsISBN:9781544336329Author:Robert L. SextonPublisher:SAGE Publications, Inc
Economics: Private and Public Choice (MindTap Cou...EconomicsISBN:9781305506725Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. MacphersonPublisher:Cengage Learning
Exploring Economics
Economics
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:SAGE Publications, Inc
Economics: Private and Public Choice (MindTap Cou...
Economics
ISBN:9781305506725
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:Cengage Learning