A country faces diminishing marginal returns when increasing it's capital stock. If this country added 100 units of capital last year and saw their GDP rise by $1,000 per person, what would you expect to happen if they had added 200 units of capital instead? O It is impossible to tell what would happen O GDP would increase by less than another $1,000 per person GDP would increase by another $1,000 per person GDP would increase by more than another $1,000 per person

A country faces diminishing marginal returns when increasing it's capital stock. If this country added 100 units of capital last year and saw their GDP rise by $1,000 per person, what would you expect to happen if they had added 200 units of capital instead? O It is impossible to tell what would happen O GDP would increase by less than another $1,000 per person GDP would increase by another $1,000 per person GDP would increase by more than another $1,000 per person

MACROECONOMICS

14th Edition

ISBN:9781337794985

Author:Baumol

Publisher:Baumol

Chapter6: How Statisticians Measure Inflation

Section: Chapter Questions

Problem 1TY

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Would the following events usually lead to capital deepening? Why or why not? A weak economy in which businesses become reluctant to make long-term investments in physical capital. A rise in international trade. A trend in which many more adults participate in continuing education courses through their employers and at colleges and universities.
What do the growth accounting studies conclude are the determinants of growth? Which is more important, the determinants or how they am combined?
Why dues productivity growth in high-income economies not slow down as it runs into diminishing returns from additional investments in physical capital and human capital? Does this show one area where the theory of diminishing returns fails to apply? Why or why not?
How is the concept of technology, as defined with the aggregate production function, different from our everyday use of the word?
Refer back to the Work It Out about Comparing the Economies of Two Countries and examine the data for the two countries you chose. How are they similar? How are they different?
What is capital deepening?
1. Country A and B both have the production functionY = F (K, L) = K ½L ½or Y = K0.5 L0.5 a) What is the per-worker production function, y= f (k)? Please make sure to write specificfunctional form of the per-worker production function. b) Assume that neither country experiences population growth nor technological progressand that 4 percent of capital depreciates each year. Assume further that country A saves 24percent of output each year and country B saves 16 percent of output each year. Using youranswer from part a) and the steady-state condition, find the steady-state level of capital perworker for each country. Then find the steady-state levels of income per worker for eachcountry and steady-state level of consumption per worker for each country.
Exercise 4: Growth and capital over-accumulationSuppose two countries, A and B, with the same production function Y = KαL1−α. Thevalue of α is 0.30, the growth rate of population is 2% and the depreciation rate is 5%.a) Show that with price-taking firms the share of labor must be 1 − α.b) Compute the stock of capital, output and consumption per unit of labor in the steadystate if the savings rates were 25% for country A and 35% for country B.c) Compare both economies to the Golden Rule.d) Explain what would happen to both countries if suddenly their savings rate becamethe Golden Rule savings rate.
a. What do you understand by Real GDP? What is the Real GDP Growth Rate of India andChina in 2019? What is the estimated real GDP growth rate of India and China in 2020?What is the projected real GDP growth rate of India and China in 2021 and 2022? b. What is the estimated 2022 GDP Loss (in percentage) in comparison to pre-covid levels(January 2020 forecast) in China and Other Emerging Economies in Asia other thanChina
2. An economy has a production function:Yt = 3(squaredKt)(squaredLt). The economy has a saving rate of 24 percent, a depreciation rate of 3 percent,and Lt = 1 for all period (no population growth). There is no technologicalprogress. (a) What is the per-worker production function, yt = f(kt)? Define yt =YtLtand kt =KtLt.(b) Find the equation for the evolution of capital per worker in terms of ktand kt+1. (c) Find the long-run growth rate of output per worker. Now the economy has the following production function:Yt = 3Kt but savings rate, depreciation rate, and population remain the same. (d) What is the per-worker production function, yt = f(kt)? Define yt =Yt/Lt (e) Find the equation for the evolution of capital per worker in terms of ktand kt+1. (f) Find the long-run growth rate of output per worker. (g) Explain why the economy with production function (2) explain persistent growth without the assumption of exogenous technologicalprogress. How does this differ from the economy…