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- or An economy is currently at it's steady state. Their depreciation rate is 6% and their capital stock is 1,830. What will be their level of investment? 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 = 5√K and has a capital stock of 10,351. If the country devotes 11% of its GDP to producing or repairing investment goods, how much is this country currently investing? Rounds your answer to two decimal places.(b) Consider a classical economy. Assume that the GDP of an economy is 9000. Consumption is given by the equation C = 600+(3/4)YD-40r, where r is the percentage real rate of interest. Investment is given by the equation / = 1200- 120r. Net exports is given by NX 1500-200€. There is a budget deficit of 500 and government spending is 1500. Finally, suppose the world interest rate is 5. 1 1 (i) For this open economy derive all equilibrium values, all savings values, and also describe whether the current and capital accounts are in deficit or surplus.16 100% 3 7 4 Consider the economic model: Yt Ct + it Ct myt-1 act-1 where y is GDP, c is consumption, i is investment, m and a are multipliers. (i) Write down a difference equation for y (ii) Find the condition under which the steady state exists, and find the steady state solution (iii) Find the condition under which the system converges to the steady state (iv) Find the condition under which y will show sinusoidal (cyclical) pattern (This occurs when the roots of the characteristic equation are complex "6²-4ac < 0") ERMT Problem Paper 01 28°C Light rain || || 3 hp
- Consider a macroeconomy where the current population is 800 thousand people. Gross domestic private investment is constant $2500 million while consumer expenditure is described by the equation: C = 580 +0.8DI. The government is fairly active, with a total expenditure of $2000 million andnet taxes of $2550 million. Further investigation of the macroeconomy reveals that imports are constant at $3000 million while exports are constant at $2500 million. Currently, the overall price level (GDP deflator) is 118 and the potental GDP level is $13.5 billion.(Question4 of 7)Now, consider that the government decreases taxes by 7.5%. While the change had a direct impact on the economy, other market conditions led to an unanticipated change in the economy. Specifically, imports decrease by 7.5%. At the same time, given the birth rate, mortality rate, and net migration, the economy experienced a 0% change in its population.1. As a result of these events, what is the current equilibrium level of GDP?…When actual investment, sy, is in equilibrium with minimum required investment spending, (n+d) Ko, we can say that: a) the steady state rate of capital accumulation has been reached. Ob) the economy is replacing all of its depreciated capital and giving new workers the same amount of capital as existing workers. Oc) the economy is maintaining a constant capital-to-ratio labor. O All of the above are true.suppose the production formula is given by yt= kt ^1/3 where y is the output per worker and k is the capital per worker. futhermore assume that the saving rate is exogenous and the capital deprecitates at delta rate. if the sum of both deprectiation rate and saving rate equals 1, answer the questions below 1. find the steady state values of capital, output, investments and consumption as functions of the saving rate only? 2. in a diagram show the steady state value values in a part (a)?
- In an economy the interest rate is 5% and the depreciation rate is 20%. The price of capital is 1. A firm has the following production function Y=AKO5N0.5 a. Find the marginal cost of capital b. Compute the investment desired by the firm, knowing that A=2, K=8, N=1. c. If the economy is a close economy, what is the amount of national savings? Instead, what if this was an open economy? Explain. d. If the government imposes a tax on firm revenues of 25%, how does the investment desired change? Compute it and show what happens in the Investment-Savings diagram, assuming this is an open economy and the government completely waste the revenues of this tax.How does an increase in the capital depreciation rate & affect the steady-state consumption rate C*/Y*? What happens to this effect as a → 0?4) In the Solow model, suppose that Y AK0.5 N0.5, N grows at 2% per year, A=1, the depreciation rate d-D0.1 and s-0.2 What is the growth rate of output in the long run? a) 1% b) 0.5% c) 2% d) output stays at a steady state forever %3D
- Using the law of motion for physical capital accumulation (K), what is the amount of capital for the next period if the amount of physical capital today is 20 and Investment is 15 (Assume a depreciation rate of 10%) a) 23 b) 33 c) 34 d) 35 3- Using the law of motion for physical capital accumulation (K), what is the steady state level of capital when investment is 10? (Assume a depreciation rate of 10% and remember that physical capital is constant at the steady state) a) 100 b) 50 c) 120 d) 123 4- What is the key difference between catching up growth and cutting edge growth? a) Cutting edge growth is based on capital accumulation while catching up growth is based on technological advances b) Cutting edge growth is based exclusively on natural resources unique to every country c) Cutting edge growth is based on innovation, new ideas. Catching up growth is based on physical capital accumulation d) None of the aboveIn Wonderland production per worker (y) depends on capital per worker() such the y=10vk. Every year 15% of the capital stock depreciates, while workers in Wonderland save 10% of their income. Every year the population grows ratas te of 3% (c) The country of Neverland is identical to Wonderland in terms of output per worker, the savings rate, the depreciation rate and population growth. They differ in one respect: Wonderland has capital per worker of 10, whereas Neverland has capital per worker of 20. Which country experiences a higher growth rate of output per worker and how will their growth rates evolve over time?To increase future living standards by pursuing higher current rates of investment spending, an economy must: Multiple Choice O allow higher rates of current consumption. reduce the current capital stock. reduce current rates of consumption spending. decrease the amount of future research and development spending