Consider an economy in which the consumption, investment and production functions are as follows. C = 90 +0.7(Y-T) I = 250 - 20r F(K, L) = AK¹/21/2 The capital and labor supply are equal to 100 each, A=10, G = 200 and T = 200. Compute the equilibrium values of output, overall labor income, consumption, public savings, national savings, investment, and the interest rate.

Consider an economy in which the consumption, investment and production functions are as follows. C = 90 +0.7(Y-T) I = 250 - 20r F(K, L) = AK¹/21/2 The capital and labor supply are equal to 100 each, A=10, G = 200 and T = 200. Compute the equilibrium values of output, overall labor income, consumption, public savings, national savings, investment, and the interest rate.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

If the maximum potential combination of consumer and capital goods produced by an economy has increased over time, which of the following is true? a. Marginal tax rates have increased due to contradictory fiscal policy. b. Keynesian policy initiatives have allowed for increased consumption of both consumer and capital goods. c. New physical capital has been introduced to firms throughout the economy. d. Resources are being utilized inefficiently at this combination of goods and services. e. Monetary policy authorities have effectively decreased bank reserves through open market operations.
Suppose that K(t+3)/N > K(t+1)/N, where K(t+3) is capital in period t+3 and K(t+1) is capital in period t+1. The economy will reach or reached a steady-state (long-run equilibrium) in period __ (choose the best one, given the information available). t+5 t-2. t-1. t
In an economy, the future marginal product of capital is MPKf=100-K, where K denotes the future capital stock. The price of capital is 100, the depreciation rate of capital is 0.1 and the current capital stock is 10. An equation relating desired investment (I) to real interest rate (r) is
An economy has an aggregate production function to produce goods and services Y = AK1/3L 2/3 where Y represents total output (i.e GDP), K is capital, L is labor, and A is total factor productivity (TFP). This economy devotes a share of 30% of its output to gross investment. Capital depreciates at a rate of 10% per period. The TFP level is one and there are 2 units of labor available for production. • Suppose the economy starts with a capital stock at time t = 1 equal to 1 unit. Write down the values of gross investment, net investment, capital, consumption, and output observed during the subsequent 10 periods • What is the steady state level of capital, assuming A = 1 and L = 2? • Suppose that the economy is at its steady state and there is an increase in the depreciation rate from 0.10 to 0.15. What is the new steady state value for capital? Discuss your results.
Our closed economy has a production function Y = A•F(K,LxE), where Y, K, L, E & A all have their usual meanings as per our lectures & course textbook. Also, this production function exhibits all the usual mathematical/economic properties we usually assume: positive marginal products, diminishing marginal products, complementarity between K & (LxE), and constant returns to scale. The aggregate consumption function depends negatively on the real interest rate, the government budget is balanced initially & the economy is in both a long-run equilibrium and steady state initially. The population growth rate is 2% per year, capital depreciates at a rate of 3% per year, the saving rate is 25% and technology is constant. Suppose the level of labour effectiveness (E) suddenly permanently rises by 10%. a) Use the long-run classical model to determine the qualitative impact of this shock on the long-run equilibrium levels of real output, consumption, investment, real interest…
Our closed economy has a production function Y = A•F(K,LxE), where Y, K, L, E & A all have their usual meanings as per our lectures & course textbook. Also, this production function exhibits all the usual mathematical/economic properties we usually assume: positive marginal products, diminishing marginal products, complementarity between K & (LxE), and constant returns to scale. The aggregate consumption function depends negatively on the real interest rate, the government budget is balanced initially & the economy is in both a long-run equilibrium and steady state initially. The population growth rate is 2% per year, capital depreciates at a rate of 3% per year, the saving rate is 25% and technology is constant. Suppose the level of labour effectiveness (E) suddenly permanently rises by 10%. a) Use the long-run classical model to determine the qualitative impact of this shock on the long-run equilibrium levels of real output, consumption, investment, real interest…
Suppose that output is produced according to the production function Y =Kα[(1 - u)L]1-α, where K is capital, L is the labor force, and u is the natural rate of unemployment. The national saving rate is s, the labor force grows at rate n, and capital depreciates at rate d. Express output per worker (y = Y/L) as a function of capital per worker (k = K/L) and the natural rate of unemployment (u). Write an equation that describes the steady-state of this economy. Find the steady-state capital per worker and steady-state output per worker. Does this production function have constant returns to scale? Explain.
Suppose that output is produced according to the production function Y = Kα[(1 - u)L]1-α, where K is capital, L is the labor force, and u is the natural rate of unemployment. The national saving rate is s, the labor force grows at rate n, and capital depreciates at rate d. Express output per worker (y = Y/L) as a function of capital per worker (k = K/L) and the natural rate of unemployment (u). Write an equation that describes the steady state of this Find the steady state capital per worker and steady state output per worker. Does this production function have constant returns to scale?
The Bureau of economic analysis announced today that gross domestic product, the widest measure economic activity, grew in a meager 0.9% annualized rate in the third quarter compared to the first six months of 2018 the US economy in the first 3 quarters of 2019 grew just 1.6%, a pronounced slow down relative to the 3.9% growth in the second half of 2018. Some of this slowdown can be explained by a negative contribution from inventory investment, which contracted 0.9% in the third quarter. There’s plenty to worry about in this report, as it showed us Retail sales Fell for the first time in seven months in September, although overall consumer spending which comprises about 66% of the US GDP activity was up 0 .4%. Capacity utilization also decreased 0.4% in the third quarter to 74.5%.1. Write a phrase from the article that speaks to change in household consumption in the third quarter in 2019. 2. From the information in this article, did household consumption increase or decrease in the…
Why can the Sunk costs-past costs not be changed by any future investment?
In an economy the savings function is given to be as:- C = 1000 + 0.75Y Where C is the Consumption Expenditure and Y is the national income. Derive the saving function
Suppose that output is given by the neoclassical production function Y (t) = F (K(t), L(t), A(t)) satisfying Assumptions 1 and 2, and that we observe output, capital, and labor at two dates t and t + T . Suppose that we estimate TFP growth between these two dates using the equation Where g(t, t + T ) denotes output growth between dates t and t + T , and other growth terms are defined similarly, while αK(t) and αL(t) denote the factor shares at the beginning date. Let x(t, t + T ) be the true TFP growth between these two dates. Show that there exist functions F such that x(t, t ˆ + T )/x(t, t + T ) can be arbitrarily large or small. Next show the same result when the TFP estimate is constructed using the end-date factor shares: Explain the importance of differences in factor proportions (capital-labor ratio) between the beginning and end dates in these results.