4. Suppose an economy has capital share of half, a savings rate of 12%, depreciation rate...
4. Suppose an economy has capital share of half, a savings rate of 12%, depreciation rate of 2%, population growing at 2% and labor-augmenting technological change of 2% yearly.
a) What is the steady-state level of capital per efficiency unit of labor?
b) Is this economy at the golden rule level of savings/investment? Fully detail your reasoning.
c) If the economy decides to transition to Golden Rule, what will happen to consumption, capital per efficiency unit of labor and output per efficiency unit of labor in the short run and the long run?
d) Is it always better for an economy to have more rather than less output per efficiency unit of labor? Explain.
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4. Suppose an economy has capital share of half, a savings rate
of 12%, depreciation rate...
2. Suppose that the US is initially at the golden-rule level of steady-state capital accumulation given...
2. Suppose that the US is initially at the golden-rule level of steady-state capital accumulation given the current rates of depreciation, technological progress, and population growth a. What does “the golden-rule level of steady-state capital accumulation” mean? b. When there are positive rates of depreciation, technological progress, and population growth, explain how each of the following variables is changing over time when the economy is at the golden-rule level of capital: i. Labor ii. Labor efficiency units iii. Total capital...
1. Assume that an economy described by a Solow model has a per-worker production function given...
1. Assume that an economy described by a Solow model has a per-worker production function given by y- k05, where y is output per worker and k is capital stock per worker (capital-labor ratio). Assume also that the depreciation rate δ is 5%. This economy has no technological progress and no population growth (n 0). Both capital and labor are paid for their marginal products and the economy has been in a steady state with capital stock per worker at...
An economy has a Cobb-Douglas production function: Y = Ka(LE)(1-a). The economy has a capital share...
An economy has a Cobb-Douglas production function: Y = Ka(LE)(1-a). The economy has a capital share of a third (means a= 1/3), a saving rate of 24 percent, a depreciation rate of 3 percent, and a rate of labor-augmenting technological change of 1 percent. It is in steady state. a. At what rate does total output, output per worker, and output per effective worker grow? b. Solve for steady state capital per effective worker, output per effective worker, consumption per...
Consider an economy having a Cobb Douglas production function, where the share of capital income in...
Consider an economy having a Cobb Douglas production function,
where the share of capital income in total income is 1/2. The
depreciation rate is , population growth rate is n = 0.02
A. The golden rule level of capital per worker is .
B. The golden rule level of investment per worker is .
C. The golden rule level of output per worker is .
D. The golden rule savings rate is X% where X equals .
QUESTION 2 20...
If the marginal product of capital net of depreciation equals 8 percent, the rate of growth...
If the marginal product of capital net of depreciation equals 8 percent, the rate of growth of population equals 2 percent, and the rate of labour-augmenting technological progress equals 2 percent, what must happen to the saving rate to reach the Golden Rule level of the capital stock?
Consider an economy in a steady state with population growth rate η, a rate of capital depreciati...
Consider an economy in a steady state with population growth rate η, a rate of capital depreciation δ , and a rate of technological progress g. a) At the steady state Δk = 0, where k equals capital per effective worker. What condition must be met for this to hold? Describe the condition in words as well as mathematical expressions. b) Describe in words what is maximized at the Golden Rule level of k. c) What mathematical condition must be...
An economy has a Cobb-Douglas production function: Y = K"(LE)!-a The economy has a capital share...
An economy has a Cobb-Douglas production function: Y = K"(LE)!-a The economy has a capital share of 0.25, a saving rate of 40 percent, a depreciation rate of 3.00 percent, a rate of population growth of 0.75 percent, and a rate of labor- augmenting technological change of 2.0 percent. It is in steady state. b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital.
An economy has the following production function: Y = K1/2L 1/2 There is no technological growth...
An economy has the following production function: Y = K1/2L 1/2 There is no technological growth in the economy. Some more additional details known about the economy: • The savings rate (s) is equal to 0.4. • The population growth rate (n) is equal to 0.03. • Depreciation rate (δ) is at 0.07. (a) Derive the function of output per worker in terms of capital per worker. (b) Find the steady state levels of capital per worker, output per worker...
An economy has a Cobb-Douglas production function: Y = K°(LE)1-a The economy has a capital share...
An economy has a Cobb-Douglas production function: Y = K°(LE)1-a The economy has a capital share of 0.25, a saving rate of 43 percent, a depreciation rate of 3.00 percent, a rate of population growth of 4.25 percent, and a rate of labor-augmenting technological change of 3.5 percent. It is in steady state. b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital. k* = 2.83 y* * = 1.30 =...
1) Consider an economy having a Cobb Douglas production function, where the share of capital income...
1) Consider an economy having a Cobb Douglas production
function, where the share of capital income in total income is 1/2.
The depreciation rate is
, population growth rate is n = 0.02
2) Assume a general savings rate
, depreciation rate
and a production per worker
, where 0< <1.
Suppose the savings rate increases. What happens to the golden rule
level of capital?
3) Consider an economy that is described by the production
function
. The depreciation rate...
1. Assume that an economy described by a Solow model has a per-worker production function given by y- k05, where y is output per worker and k is capital stock per worker (capital-labor ratio). Assume also that the depreciation rate δ is 5%. This economy has no technological progress and no population growth (n 0). Both capital and labor are paid for their marginal products and the economy has been in a steady state with capital stock per worker at...
Consider an economy having a Cobb Douglas production function,
where the share of capital income in total income is 1/2. The
depreciation rate is , population growth rate is n = 0.02
A. The golden rule level of capital per worker is .
B. The golden rule level of investment per worker is .
C. The golden rule level of output per worker is .
D. The golden rule savings rate is X% where X equals .
QUESTION 2 20...
An economy has a Cobb-Douglas production function: Y = K"(LE)!-a The economy has a capital share of 0.25, a saving rate of 40 percent, a depreciation rate of 3.00 percent, a rate of population growth of 0.75 percent, and a rate of labor- augmenting technological change of 2.0 percent. It is in steady state. b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital.
An economy has a Cobb-Douglas production function: Y = K°(LE)1-a The economy has a capital share of 0.25, a saving rate of 43 percent, a depreciation rate of 3.00 percent, a rate of population growth of 4.25 percent, and a rate of labor-augmenting technological change of 3.5 percent. It is in steady state. b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital. k* = 2.83 y* * = 1.30 =...
1) Consider an economy having a Cobb Douglas production
function, where the share of capital income in total income is 1/2.
The depreciation rate is
, population growth rate is n = 0.02
2) Assume a general savings rate
, depreciation rate
and a production per worker
, where 0< <1.
Suppose the savings rate increases. What happens to the golden rule
level of capital?
3) Consider an economy that is described by the production
function
. The depreciation rate...
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