Exam 5: The Solow Growth Model

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In the steady state, output per person is growing.

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Refer to the following figure when answering Figure 5.1: Solow Diagram Refer to the following figure when answering    Figure 5.1: Solow Diagram   -In Figure 5.1, at K<sub>1</sub>, net investment is ________ and the economy ________. -In Figure 5.1, at K1, net investment is ________ and the economy ________.

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An implication of the Solow model is that once an economy reaches the steady state,

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If we define the saving rate as sˉ\bar { s } , output as F(Kt,Lˉ)F \left( K _ { t } , \bar { L } \right) , and the depreciation rate as dˉ\bar { d } , and if sˉF(Kt,Lˉ)>dˉKt\bar { s } { F } \left( K _ { t } , \bar { L } \right) > \bar { d } K _ { t } , the economy is:

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In the Solow model, the equation of capital accumulation is:

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Assume a production function is given by Y=AˉKt1/3Lˉ2/3Y = \bar { A } K _ { t } ^ { 1 / 3 } \bar { L } ^ { 2 / 3 } . If Aˉ=Lˉ=1\bar { A } = \bar { L } = 1 , the depreciation rate is dˉ=0.05\bar { d } = 0.05 , and the saving rate is sˉ=0.1,\bar { s } = 0.1 , The steady-state level of capital is about:

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Refer to the following figure when answering Figure 5.1: Solow Diagram Refer to the following figure when answering    Figure 5.1: Solow Diagram   -In Figure 5.1, if the economy begins with the initial capital stock at K<sub>3</sub>, the capital stock will ________ and the economy will ________. -In Figure 5.1, if the economy begins with the initial capital stock at K3, the capital stock will ________ and the economy will ________.

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On average, if both rich and poor countries grow at the same rate, this suggests that:

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The Solow model assumes the saving rate decreases as income increases.

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The endogenous variables in the Solow model are:

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A decline in the saving rate will cause the steady state level of output and capital to rise.

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Using the Solow model, if, in time t = 50, the capital stock is K50 = 150, investment is I50 = 15, and dˉ=0.1\bar { d } = 0.1 is the depreciation rate, capital accumulation is:

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Which of the following is an exogenous variable in the Solow model?

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If a natural disaster destroys a large portion of a country's capital stock but the saving and depreciation rates are unchanged, the Solow model predicts that the economy will grow and eventually reach:

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If we include population growth in the Solow model, we can model this concept by thinking of population growth as capital depreciation per person.

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In the Solow model, if gross investment is equal to capital depreciation, the economy accumulates new capital.

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In the corn farm example, corn can be used as:

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In the Solow model, it is assumed that a constant fraction of capital depreciates in each period.

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A change in the capital stock, ΔKt+1\Delta K _ { t + 1 } , can be expressed as a function of the saving rate, sˉ\bar { s } , output F(KtLˉ)F \left( K _ { t } \bar { L } \right) , the capital stock, Kt, and the depreciation rate by dˉ\bar d , as ΔKt+1=dˉF(Kt,Lˉ)sˉKt\Delta K _ { t + 1 } = \bar { d } F \left( K _ { t } , \bar { L } \right) - \bar { s } K _ { t } .

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Refer to the following figure when answering Figure 5.2 Refer to the following figure when answering   Figure 5.2   -In Figure 5.2, steady state consumption is represented by: -In Figure 5.2, steady state consumption is represented by:

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