Econ Micro (book Only)
6th Edition
ISBN: 9781337408066
Author: William A. McEachern
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 21, 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.)
3 tries left
Suppose instead that China's real GDP growth turns out to be 6.9 percent per
year for the next decade.
By how much will China's real GDP increase then during the entire decade?
China's real GDP will increase by Type percent during the entire decade.
(Round your response to one decimal place.)
Submit
4. You have been hired to forecast future population level for a small country. You know that this country
currently has 15 million citizens and wishes to achieve a population level twice the current population, 50 years
from now.
(a) What population growth rate must it maintain in order to achieve this goal?
(b) What if this country chooses a goal of 36 million people? What population growth rate would that require?
Chapter 21 Solutions
Econ Micro (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_forward16)A mathematical approximation called the 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 4 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?) Instructions: Enter your answer as a whole number.arrow_forwardFor a high-income economy like the United States, what aggregate production function elements are most important in bringing about growth in GDP per capita? What about a middle-income country such as Brazil? A low-income country such as Niger?arrow_forward
- 10) True or False: Countries that currently have low real GDPs per capita are destined to always have lower living standards than countries that currently have high real GDPs per capita.arrow_forward(6) GDP grows at 4 percent per year in Afghanistan and at 2 percent per year in Iraq. In 2016, GDP in Afghanistan was half as large as GDP in Irac, that is, YA2016/YIraq2016= 0.5. When will Afghanistan catch up with Iraq?arrow_forward11. The table below shows the average income per person in two countries in 1900 and their subsequent growth rates. Country Argentina Growth rate from 1900 to 2010 Income per person in 1900 $2756 $2758 1.03% Canada 2.19% The growth rates are only slightly different so maybe we should expect that they end up with similar, but not identical final incomes but they didn't. What was the absolute value of the difference in their incomes per person in 2010?arrow_forward
- Calculate approximately how many years it will take per capita GDP in the United States, Mexico, China, Rwanda, and Haiti to double, assuming that each country continues to grow at the same average rate as between 1960 an 2010. (Hint: Use the Rule of 70.) (Round your responses to one decimal place. Enter "−1" if a country will never double its GDP.) Implied (Average) Annual Growth (%) Years to Double United States 2.00 ? Mexico 1.79 ? China 4.72 ? Rwanda 0.60 ? Haiti −0.14 ? If the United States, Mexico, China, Rwanda, and Haiti continue to grow at the rates given in the exhibit, how many years (starting from 2010)would it take each to catch up to the United States in terms of per capita GDP? (Hint: If a country's GDP per capita is growing at a constant rate, g, then the natural log of GDP per capita t years into the future is: ln y(t) = ln y(0) + gt, where y(0) is GDP per…arrow_forwardHow much should a nation be concerned if its rate of economic growth is just 2 slower than other nations?arrow_forward6) There is such a close relationship between changes in a nation’s rate of productivity growth and changes in its average real hourly wage because if the average real hourly wage and output per worker is increasing, then the amount of output available per capita for workers to buy will be growing so more can be purchased. decreasing, then the amount of output available per capita for workers to buy will be less so more can be purchased. increasing, then the amount of output available per capita for workers to buy will be less so more can be purchased. decreasing, then the amount of output available per capita for workers to buy will be decreasing so more can be purchased.arrow_forward
- Real GDP per capita in the country of Arcadia grew from about $4,703 in 1900 to about $42,731 in 2008, which represents an annual growth rate of 2.06 percent . if the 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 integers)arrow_forward(5 points) Suppose that the marginal product of capital satisfies the following condition: lim fr = A > (8 + n)/s. 00 L Show this model in the context of the above Solow growth model. What does this imply about the existence of a steady state? Will growth in per-capita GDP be continual?arrow_forwardSuppose that the GDP of California increases by 8.0% each year. How long will it take for the GDP of California to double? Round your answer to one digit after the decimal. duration for California's GDP to double: Suppose that the GDP of Oregon today is exactly twice what it was 17 years ago. What was the average annual growth for Oregon over this time period? Round your answer to one digit after the decimal. average annual growth for Oregon: years % each yeararrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Economics 2eEconomicsISBN:9781947172364Author:Steven A. Greenlaw; David ShapiroPublisher:OpenStax
Principles of Economics 2e
Economics
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:OpenStax