Macroeconomics (Fourth Edition)
4th Edition
ISBN: 9780393603767
Author: Charles I. Jones
Publisher: W. W. Norton & Company
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Question
Chapter 5, Problem 3RQ
To determine
The economic meaning of the vertical gap between the investment curve and depreciation curve.
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Check out a sample textbook solutionStudents have asked these similar questions
What is the economic meaning of the vertical gap between the investmentcurve and the depreciation curve in the Solow diagram?
Let the production function be
Q = K0.®L0.2
Solow's assumptions are
K = sQ – 6K
The symbols s represents a (constant) marginal propensity to save, n, a (constant) rate of growth
of labor and 8 constant depreciation rate.
(a) Derive the fundamental equation of Solow growth model for given production function.
(b) Sketch graph of with k on the vertical axis and k on the horizontal take
n = 0.01, s = 0.3, 8 = 0.1.
Consider a basic Solow-Swan model. Suppose the aggregate production function is Y - AKL
and that A=1, the depreciation rate is = 0.06 and the saving rate is s = 0.12. In steady state,
d
which of the following is TRUE?
O Output per worker is 2.00 and consumption per worker is 0.24
O Output per worker is 2.00 and consumption per worker is 1.76
O Output per worker is 1.68 and consumption per worker is 1.48
O Qutput per worker is 1.68 and consumption per worker is 1.12
Chapter 5 Solutions
Macroeconomics (Fourth Edition)
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- Assume that in the Solow model the aggregate production function takes the Cobb-Douglas form: Y = 8K“ (AL)'-a where Y is output, K is capital input, L is labour input, and A is the level of labour- augmenting technical progress. Capital grows through investment but also decays due to wear and tear at a constant rate per period. Assume that A is growing at the exogenous rate g, that L is growing at the exogenous raten, and that households save a constant proportion s of their income. There is perfect competition in the markets for output and the inputs. a. Find the steady-state level of output per unit of labour in terms of A and the parameters of the model. What is the growth rate of total factor productivity (TFP) in terms of the parameters of the model? b. Find the steady state level of the capital-output ratio (k/y) in terms of the parameters of the model. c. Write down an expression for consumption per effective labour (c*) in the long run and show how it is affected by an increase…arrow_forwardConsider an economy described by the textbook Solow model with the following Cobb-Douglas production function: Y = ÅK°L*. %3D where a The economy is producing 100 units of output and the productivity parameter is equal to 1. the depreciation rate is 6%, the investment rate is 24%, and there are 64 workers, the growth rate of total output Y, is positive and the economy is converging to to its steady-state output per capita of 100 units. Question 6 total depreciation exceeds gross investment, the economy is below its steady state and outout per person is growing at a positve rate Question 7 Starting from steady state a permanent decrease in the rate of depreciation in the Solow model causes output per capita to Select) in the short nun in the long run the growth rate of the economy Sekectarrow_forward10. In the steady state in a Solow model including effective/productive workers, the growth of output per effective worker is: G 0 N+G Depreciation rate Savings ratearrow_forward
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