The Mankiw-Romer-Weil (1992) model. Assume the production function is given by KaH³(AL) ¹-a-B where a and B are constants between zero and one whose sum is also between zero and one. Physical capital is accumulated as = K = SKY - dk where SK is the constant share of output invested in physical capital. And human capital is accumulated just like physical capital:

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Question 1
The Mankiw-Romer-Weil (1992) model.
Assume the production function is given by
Y = KaH³(AL)¹-a-B
where a and B are constants between zero and one whose sum is also between zero and one. Physical capital is
accumulated as
K = SKY dk
where SK is the constant share of output invested in physical capital. And human capital is accumulated just like
physical capital:
Н = SHY dH
where SH is the constant share of output invested in human capital.
The labor force grows at rate n, and the technological progress occurs at rate g. Solve the model for the path of
output per worker y=Y/L along the balanced growth path as a function of SK SH, n, g, d, a and B.
(Hint: Define state variables such as y/A, h/A, and k/A.)
Transcribed Image Text:Question 1 The Mankiw-Romer-Weil (1992) model. Assume the production function is given by Y = KaH³(AL)¹-a-B where a and B are constants between zero and one whose sum is also between zero and one. Physical capital is accumulated as K = SKY dk where SK is the constant share of output invested in physical capital. And human capital is accumulated just like physical capital: Н = SHY dH where SH is the constant share of output invested in human capital. The labor force grows at rate n, and the technological progress occurs at rate g. Solve the model for the path of output per worker y=Y/L along the balanced growth path as a function of SK SH, n, g, d, a and B. (Hint: Define state variables such as y/A, h/A, and k/A.)
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