ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Suppose that the production function for an economy is given by Y = K1/4L3/4. The
Explain how the economy goes from one steady state to another.
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- Suppose the production is given by Y=0.5*K13(AN)23. Suppose the depreciation rate is 2%, number of workers grows at 2% per year and rate of technological progress is 3% per year. a. If the saving rate is 14% then find the steady state values of capital per unit of effect worker and output per unit of effective worker. a. Suppose the economy is at steady state with saving rate being equal to 14%. Now suppose the savings rate increases to 15% from 14%. What will be the capital per unit of effective worker one year after the change in savings rate? Show your calculations for both (a) and (b).arrow_forwardJ 7 Given a production function Yt = AKt1 /3L2 /3 , if K0=8, A = 2, L = 4, s = 0.2, and d = 0.05: (a) Calculate the steady-state level of capital and output. (b) Calculate K1 , I 1 , Y1 and C1 .arrow_forwardA country has a Cobb-Douglas production function given by: Y = AK0.5H0.1 If total factor productivity is 46, human capital is 1,828, and the capital stock is 2,736, what will this country's GDP be? Do not round until your final answer, when you may round to two decimal places. Country A produces GDP according to the following equation: GDP 5K and has a capital = stock of 13,399. If the country devotes 13% of its GDP to producing or repairing investment goods, how much is this country currently investing? Rounds your answer to two decimal places.arrow_forward
- In year 1, a country has saving rates, s=0.1, productivity a=2 and depreciation rate d=0.1 . In year 2, the same country has s=0.1, a=1, d=0.2 Using the endogenous growth model, find the economy’s growth rate in year 1 and What is the state of the economy in year 1? (Use business cycle words) Using the endogenous growth model, find the economy’s growth rate in year 2.What is the state of the economy in year 2? (Use business cycle words) If in year 1, delta c/c=0.2, delta u /u =-0.1 and in year 2, deltac/c=-0.1, delta u/u =0.15 , describe the variables and using business cycle words Please answer the business cycle explanation part!arrow_forward7. Suppose that the economy's production function is Y = √K√LA where K is capital, L is labor, and A is the state of technology. Suppose that the saving rate (s) is equal to 6%, the rate of depreciation of capital (8) is equal to 5%, the number of workers grow at 5% per year and the rate of technological progress is 4%. (a) Find the steady state values of: i. 11. iii. capital stock per effective worker output per effective worker growth rate of output per effective workerarrow_forwardanswer questions a and b pleasearrow_forward
- Why do large differences in capital per worker lead to relatively small differences in predicted GDP across countries? Workers exert more effort when they have less capital Capital has a high depreciation rate 4 O The exponent on capital in the production function is much lower than one O Capital is not an input in productionarrow_forwardConsider a closed economy in which the population grows at the rate of 1% per year. The per-worker production function is yt = 2.2kt^0.5, where y is output per worker and k is capital per worker. The depreciation rate of capital is 10% per year a- Households initially consume 80% of income and save the remaining 20% of income. There is no government spending. What are the steady-state values of capital per worker, output per worker, consumption per worker, and investment per worker? b-Suppose saving rate decreases to 10% permanently. What are the steady-state values of capital per worker, output per worker, consumption per worker, and investment per worker?arrow_forwardSuppose Westeros produces output according to the production function: Y = √K The fraction of output that is saved and invested in new capital is 20%. The depreciation rate is 5%. Use this information to answer the following questions. Macmillan Learning a. What is the steady-state amount of capital (K) in Westeros? b. What is the steady-state amount of output (Y*) in Westeros? c. If Westeros had started out with 25 units of capital, what would the Solow model predict would happen to its output in the long run? O It will decrease, since that is above its steady state level of output of 4 It will decrease, since that is above its steady state level of output of 16 It will increase, since that is below its steady state level of output of 16 It will increase, since that is above its steady state level of output of 41 It will remain at 25, since that is its steady state level of outputarrow_forward
- Shade the entire area that represents where K is being added faster than it is wearing out Shade the entire area that represents where K is wearing out faster than it is being replaced Label the point where the economy will settlearrow_forwardConsider an Economy in steady state, with a Cobb Douglas Production function. They have a savings rate of 45% and a capital share of 2/7. Technological progress is 1%, population growth is 3%, and Depreciation is 5%. 1. Derive the Production function per effective worker and solve for steady state capital, output, and consumption per effective worker. 2. What is MPK in the steady state? Is this country saving too much or too little? How do you know? 3. What should you lower or raise the saving rate to, in order to reach the golden rule steady statearrow_forward4. If the production function is given by Y=K2L'3 and the saving rate saving rate (s) equals the depreciation rate (8). Find the numerical values of the steady state capital and output?arrow_forward
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