Question

In the Solow model, increases in the rate of population growth and increases in the rate of technological progress both lower the steady state values of capital and output per efficiency unit. True or false: Therefore both are undesirable. If false, explain how they differ in their consequences for levels and growth rates of Y/L.

Answer #1

Answer) The given statement is True, If Population growth rate is assumed at the rate of n then it becomes an additional source of depletion of capital stock per capita. This is because net capital stock per capita not depletes due to depreciation but also due to population growth. It reduces steady state level of per capita capital stock and per capita output as compared to zero population growth.

In case of technology it was taken as exogenous as it is observed that productivity of labor increases with technical progress. Workers are more efficient with technology so they need more capital now.

In the Solow growth model with population growth but no
technological progress, if in the steady state the marginal product
of capital equals 0.10, the depreciation rate equals 0.05, and the
rate of population growth equals 0.03, then the capital per worker
ratio ____ the Golden Rule level.
A) is above
B) is below
C) is equal to
D) will move to

Answer the following questions using the basic Solow growth
model, without population growth or technological progress.
(a) Draw a diagram with per worker output, y, consumption, c,
saving, s and investment, i, on the vertical axis and capital per
worker, k, on the horizontal condition. On this diagram, clearly
indicate steady-state values for c, i, and y. Briefly outline the
condition that holds in the steady- state (i.e. what is the
relationship between investment and the depreciation of
capital?).
(b)...

Consider the simple version of the Solow model, with no
population growth and no technological change. Suppose that, due to
an aging capital stock, an economy experiences a sudden increase in
its depreciation rate.
a. Show the impact of an increase in the depreciation rate to ?
′ > ? on the diagram.
b. What happens to the steady-state level of capital?
_______
c. What happens to the level of output in the steady state?
_______
d. Assuming that the...

Suppose an economy described by the Solow model is in a steady
state with population growth n of 1.8 percent per year and
techno- logical progress g of 1.8 percent per year.Total
output and total capital grow at 3.6 percent per year. Suppose
further that the capital share of output is 1/3. If you used the
growth- accounting equation to divide output growth into three
sources—capital, labor, and total factor productivity—how much
would you attribute to each source?

Assume that an economy is described by the Solow growth model as
below:
Production Function: y=50K^0.4 (LE)^0.6
Depreciation rate: S
Population growth rate: n
Technological growth rate:g
Savings rate: s
a. What is the per effective worker production function?
b. Show that the per effective worker production function
derived in part a above exhibits diminishing marginal returns in
capital per effective worker
C.Solve for the steady state output per effective worker as a
function of s,n,g, and S
d. A...

1. In the Solow model without exogenous technological change,
per capita income will grow in the long term as
long as the country has an initial level of capital below the
steady state level of capital (k o < k ⋅)
TRUE OR FALSE?
2. In the Solow model without exogenous technological change, per
capita income will grow in the short term as long
as the country has an initial level of capital below the steady
state level of capital...

1. For the following, assuming that there is no population
growth or technological progress.
a) What is the equation that defines the steady-state level of
capital per worker?
b) How would you determine the steady state level or output per
worker (i.e., real GDP per capita) from (a).
c) Explain, in words, how an economy that starts with too much
capita per worker gets to its steady state.
2. Many demographers predict that the United States will have
zero annual...

Question #1: The Basic Solow Model
Consider an economy in which the population grows at the rate of
1% per year. The per worker production function is y = k6, where y
is output per worker and k is capital per worker. The depreciation
rate of capital is 14% per year. Assume that households consume 90%
of their income and save the remaining 10% of their income.
(a) Calculate the following steady-state values of
(i) capital per worker
(ii) output...

1.
In Solow model without technological progress, a 5% increase in
capital stock K
will cause:
Group of answer choices
Y to increase by exactly 5%.
a decrease in K/N.
a decrease in Y/N.
no change in Y/N.
Y to increase by less than 5%.
2.
Assume that an economy experiences both positive population
growth and technological progress. Once the economy has achieved
balanced growth, according to Solow model with technological
progress, we know that the output per effective worker...

Consider a version of the Solow model where population grows at
the constant rate ? > 0 and labour efficiency grows at rate ?.
Capital depreciates at rate ? each period and a fraction ? of
income is invested in physical capital every period. Assume that
the production function is given by:
?t =
?ta(?t?t
)1-a
Where ??(0,1), ?t is output, ?t is
capital, ?t is labour and ?t is labour
efficiency.
a. Show that the production function exhibits constant...

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