Homework Study Question 4 - Long Answer Our closed economy has a production function Y = A•F(K,LxE), where Y, K, L, E & A all have their usual meanings as per our lectures & course textbook. Also, this production function exhibits all the usual mathematical/economic properties we usually assume: positive marginal products, diminishing marginal products, complementarity between K & (LxE), and constant returns to scale. The aggregate consumption function depends negatively on the real interest rate, the government budget is balanced initially & the economy is in both a long-run equilibrium and steady state initially. The population growth rate is 2% per year, capital depreciates at a rate of 3% per year, the saving rate is 25% and technology is constant. Suppose the level of labour effectiveness (E) suddenly permanently rises by 10%. Use the long-run classical model to determine the qualitative impact of this shock on the long-run equilibrium levels of real output, consumption, investment, real interest rate, real wage & real rental price of capital. Support your answer with three diagrams one for the market for loanable funds, one for the labour market & one for the rental market for capital. Do not forget to provide an economic explanation as to why this change did or did not occur. Variable (part a) Change (if any) Explanation Output Consumption Investment Real interest rate Real wage Real rental price of K Use the Solow model to determine the qualitative impact of this shock on the levels of capital, output, consumption & investment all in per effective worker terms in the long-run. Are your answers in part b consistent with those you found in part A? Explain why or why not. Use the Solow model to determine the qualitative impact of this shock on the levels of capital, output, consumption & investment all in per effective worker terms in the new steady state that results following this shock. Support your answer with one Solow model diagram. Do not forget to provide an economic explanation as to why this change did or did not occur. Variable (part b) Change (if any) Explanation Capital per effective worker (LR) Output per effective worker (LR) Consumption per effective worker (LR) Investment per effective worker (LR) Capital per effective worker (SS) Output per effective worker (SS) Consumption per effective worker (SS) Investment per effective worker (SS)

Homework Study Question 4 - Long Answer Our closed economy has a production function Y = A•F(K,LxE), where Y, K, L, E & A all have their usual meanings as per our lectures & course textbook. Also, this production function exhibits all the usual mathematical/economic properties we usually assume: positive marginal products, diminishing marginal products, complementarity between K & (LxE), and constant returns to scale. The aggregate consumption function depends negatively on the real interest rate, the government budget is balanced initially & the economy is in both a long-run equilibrium and steady state initially. The population growth rate is 2% per year, capital depreciates at a rate of 3% per year, the saving rate is 25% and technology is constant. Suppose the level of labour effectiveness (E) suddenly permanently rises by 10%. Use the long-run classical model to determine the qualitative impact of this shock on the long-run equilibrium levels of real output, consumption, investment, real interest rate, real wage & real rental price of capital. Support your answer with three diagrams one for the market for loanable funds, one for the labour market & one for the rental market for capital. Do not forget to provide an economic explanation as to why this change did or did not occur. Variable (part a) Change (if any) Explanation Output Consumption Investment Real interest rate Real wage Real rental price of K Use the Solow model to determine the qualitative impact of this shock on the levels of capital, output, consumption & investment all in per effective worker terms in the long-run. Are your answers in part b consistent with those you found in part A? Explain why or why not. Use the Solow model to determine the qualitative impact of this shock on the levels of capital, output, consumption & investment all in per effective worker terms in the new steady state that results following this shock. Support your answer with one Solow model diagram. Do not forget to provide an economic explanation as to why this change did or did not occur. Variable (part b) Change (if any) Explanation Capital per effective worker (LR) Output per effective worker (LR) Consumption per effective worker (LR) Investment per effective worker (LR) Capital per effective worker (SS) Output per effective worker (SS) Consumption per effective worker (SS) Investment per effective worker (SS)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter7: Production Economics

Section: Chapter Questions

Problem 10E

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Homework Study Question 4 - Long Answer

Our closed economy has a production function Y = A•F(K,LxE), where Y, K, L, E & A all have their usual meanings as per our lectures & course textbook. Also, this production function exhibits all the usual mathematical/economic properties we usually assume: positive marginal products, diminishing marginal products, complementarity between K & (LxE), and constant returns to scale. The aggregate consumption function depends negatively on the real interest rate, the government budget is balanced initially & the economy is in both a long-run equilibrium and steady state initially. The population growth rate is 2% per year, capital depreciates at a rate of 3% per year, the saving rate is 25% and technology is constant.

Suppose the level of labour effectiveness (E) suddenly permanently rises by 10%.

Use the long-run classical model to determine the qualitative impact of this shock on the long-run equilibrium levels of real output, consumption, investment, real interest rate, real wage & real rental price of capital. Support your answer with three diagrams one for the market for loanable funds, one for the labour market & one for the rental market for capital.

Do not forget to provide an economic explanation as to why this change did or did not occur.

Variable (part a)	Change (if any)	Explanation
Output
Consumption
Investment
Real interest rate
Real wage
Real rental price of K

Use the Solow model to determine the qualitative impact of this shock on the levels of capital, output, consumption & investment all in per effective worker terms in the long-run. Are your answers in part b consistent with those you found in part A? Explain why or why not. Use the Solow model to determine the qualitative impact of this shock on the levels of capital, output, consumption & investment all in per effective worker terms in the new steady state that results following this shock. Support your answer with one Solow model diagram.

Do not forget to provide an economic explanation as to why this change did or did not occur.

Variable (part b)	Change (if any)	Explanation
Capital per effective worker (LR)
Output per effective worker (LR)
Consumption per effective worker (LR)
Investment per effective worker (LR)

Capital per effective worker (SS)
Output per effective worker (SS)
Consumption per effective worker (SS)
Investment per effective worker (SS)

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