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1. Xanadu's desired national saving can be expressed as:
O. Sd = 20 + 200r
O. Sd = 10 + 200r
O. Sd = 10 + 100r
O. Sd = 15 + 200r
2. Xanadu's desired investment can be expressed as
O. Id = 20 – 100r
O. Id = 32 – 200r
O. Id = 75 – 200r
O. Id = 30 – 200r
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- Consider an economy called Xanadu for which desired aggregate consumptiondepends on income, Y. and the real interest rate, r, according toCd =100+0.7Y - 200r.Xanadu's GDP is Y = 1000 and government spending on goods and services is G=180. Xanadu's desired future capital stock is given byK* = 140 - 100ucwhere luCdenotes the user-cost of capital. The price of capital is PK =2, thephysical depreciation rate is d =0.1 and the existing capital stock is K0= 50. Trapital stock between any period t and the following period t+1 evolves accordng toKt+1 = It+(1-d)Kt where It the level of investment. Assume throughout that net factor payments from abroad (NFP) is equal to zero.Suppose instead that Xanadu is a small open economy facing a world interest rate of 1%. It follows that Xanadu's current account position is equal toA) -16B) -51C) -6D) -8Consider an economy described by the following data:C = $3.25 trillionI = $1.3 trillionG = $3.5 trillionT = $3.0 trillionNX = - $1.0 trillionf = 1mpc = 0.75d = 0.3x = 0.1a. Derive simplified expressions for the consumptionfunction, the investment function, and the net exportfunction.b. Derive an expression for the IS curve.c. If the real interest rate is r = 2, what is equilibriumoutput? If r = 5, what is equilibrium output?d. Draw a graph of the IS curve showing the answersfrom part (c) above.e. If government purchases increase to $4.2 trillion,what will happen to equilibrium output at r = 2?What will happen to equilibrium output at r = 5?Show the effect of the increase in government purchases in your graph from part (d).onsider a closed economy to which the Keynesian-cross analysis applies. Consumption is given by the equation C = 200 + 2/3(Y – T). Planned investment is 300, as are government spending and taxes. What is equilibrium Y? (Hint: Substitute the values of equations for planned consumption, investment, and government spending into the equation Y = C + I + G and then solve for Y.) What are equilibrium consumption, private saving, public saving, and national saving?
- Assume that Andrew Marcus is 25 years old and expects to live until the age of 75. (a) If he wins €20 million in cash (after taxes) in the lottery and retires, how much will he consume each year if he wants to have constant consumption and use up all his wealth by the time he dies? Assume the real interest rate is zero. (75 words max) (b) If his total income in the year he wins the lottery is his lottery winnings, what will his average propensity to consume be for that year? (75 words max) (c) If he has no other earnings in later years but continues his constant consumption, what will his average propensity to consume be for those later years? (75 words max) (d) What is Andrew's "permanent income" in the year he wins the lottery? What is his "transitory income"? (75 words max)In each of the following cases, determine whether the IScurve shifts to the right or left, does not shift, or is indeterminate in the direction of shift.a. The real interest rate rises.b. The marginal propensity to consume declines.c. Financial frictions increase.d. Autonomous consumption decreases.e. Both taxes and government spending decrease by thesame amount.f. The sensitivity of net exports to changes in the realinterest rate decreases.g. The government provides tax incentives for researchand development programs for firmsSuppose that conditions in the economy are such that the after-tax expected real interest rate is described by the equationRa = a X gWhere a is a number that depends on how people value their consumption in one period compared with another period, and g is the growth rate of the economy. The a equals 1 when people prefer consumption to be balanced, with the same amount of consumption each period; a may be bigger than the one when people prefer consumption today over consumption in the future, with a being larger and larger the more impatient people are:A - Suppose that a = 2, g = 0.02, the inflation rate is expected to be steady at pi = 0.03, and the tax rate is .40. What are the values of the equilibrium nominal interest rate and the before-tax expected real interest rate?B - Beginning with the situation in part a, if the growth rate of the economy increases to .04, what are the new values of the equilibrium nominal interest rate and the before-tax expected real interest rate?C -…
- Suppose that conditions in the economy are such that the after-tax expected real interest rate is described by the equationRa = a X gWhere a is a number that depends on how people value their consumption in one period compared with another period, and g is the growth rate of the economy. The a equals 1 when people prefer consumption to be balanced, with the same amount of consumption each period; a may be bigger than the one when people prefer consumption today over consumption in the future, with a being larger and larger the more impatient people are:D - Beginning with the situation in part a, if the expected inflation rate declings to 0.01, what are the new values of the equilibrium nominal interest rate and the before tax expected real interest rate?E - From these results, what general conclusions can you draw about the relationship between the nominal interest rate and the rate of economic growth, the tax rate, and the inflation rate? what about the relationship between the before…We again assume asimple closed economy with GDP of 100 and:c0(autonomous consumption) = 20c1 (marginal propensity to consume) = 0.6I (investment) = 20.a) Now assume that c0falls by 5 (i.e. 5% of GDP), i.e. for any given level of output,consumption will fall by 5. Show the implied fall in the AD function in yourdiagram and show that output will fall by more than 5.b) Show that the multiplier is equal to 2.5, and hence that, in the new equilibrium,output will have fallen by 12.5 (i.e. by 12.5%)c) How big would the impact be if, say, c1 = 0.4 or c1 = 0.8? Explain the difference.Suppose that firms produce according to the production function Y = AK1/2L1/2, where A = 5 andL = 400. Assume that the prices of capital and output are equal and that the real interest rate, r, isequal to 0.25 and the depreciation rate, δ, is equal to 0.1.1. If firms operate according to the neoclassical theory of investment, what is the optimal levelof capital stock, K (YP) to rich (YR).22. Suppose that the government offers an investment tax credit which changes the relative priceof capital. This results in Pk = 3 and P = 6. What is the new optimal level of capital stock,K??3. Does the investment tax credit have an expansionary impact on the economy? Explain whyor why not.4. Based on the optimal capital stock computed in part (2), what is the level of investmentneeded to sustain this level of capital stock?
- Suppose that Dell Corporation has 20,000 computersin its warehouses on December 31, 2019, ready tobe shipped to merchants (each computer is valued at$500). By December 31, 2020, Dell Corporation has25,000 computers ready to be shipped, each valuedat $450.a. Calculate Dell’s inventory on December 31, 2019.b. Calculate Dell’s inventory investment in 2020.c. What happens to inventory spending during theearly stages of an economic recession?Consider an economy in which the consumption, investment and production functions are as follows.C = 90 + 0:7(Y - T)I = 250 - 20r F(K;L) = AK1=2L1=2The capital and labor supply are equal to 100 each, A=10, G = 200 and T = 200. Compute theequilibrium values of output, overall labor income, consumption, public savings, national savings,investment, and the interest rate.Suppose now government spending decreases to G=100 (everything else stays the same). Whathappens to output, consumption, savings, investment and the interest rate? Compute the newvalues for these variables.An increase of R5 billion in income in a macroeconomy leads to an increase in R3billion in consumption spending. From this information, we can determine that themarginal propensity to save in this economy is:choose the correct answer(a) 0.6; (b) 0.5;(c) 0.3; (d) 0.4