Question 4: a. Identify two assumptions of the basic Solow Growth Model. b. Why are these assumptions important in supporting the Solow Model? c. You are given the following information about an economy. Y = C + I Y = F(K, L) The aggregate production function for this economy exhibits constant returns to scale and the marginal products of labor and capital are both subject to diminishing returns. s = saving rate (assume this is constant) per year δ= depreciation rate (assume this is a constant) per year y = Y/L k = K/L k* = steady state of capital per worker (K/L) and sf(k) < δk. i. What is sf(k)? ii. What is δk? iii. Interpret the meaning of sf(k) < δk? iv. Graphically illustrate sf(k), δk, and k*. Indicate on your graph where sf(k) < δk. v. Explain what happens in this economy when sf(k) < δk.
Question 4:
a. Identify two assumptions of the basic Solow Growth Model.
b. Why are these assumptions important in supporting the Solow Model?
c. You are given the following information about an economy.
Y = C + I
Y = F(K, L)
The aggregate production function for this economy exhibits constant returns to scale and the marginal products of labor and capital are both subject to diminishing returns.
s = saving rate (assume this is constant) per year
δ=
y = Y/L
k = K/L
k* = steady state of capital per worker (K/L) and sf(k) < δk.
i. What is sf(k)?
ii. What is δk?
iii. Interpret the meaning of sf(k) < δk?
iv. Graphically illustrate sf(k), δk, and k*. Indicate on your graph where sf(k) < δk.
v. Explain what happens in this economy when sf(k) < δk.
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