An economy is initially described by the following equations: Y= C+I+ G C= 50 +0.8(Y – T). I= 125 - 10r (M/P)=Y-40r G = 150 T = 100 M = 2,000 P = 5 Derive the functions of the IS curve and the LM curve. Calculate a. the equilibrium interest rate and income. b. Suppose a newly elected president cuts taxes by 20%. Assuming that the money supply is held constant, what are the new equilibrium interest rate and income? What is the tax multiplier? Now assume that the central bank adjusts the money supply to C. hold the interest rate constant? What is the new equilibrium income? What must the new money supply be?
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- The fundamental equations in an economy are given as: Consumption function C =200+0.8yd Investment function. I=300 Tax. T=120 Government expenditure. G=200 Exports. X=100 Imports M=0.05y Find the following. 1.The equilibrium level of income. 2.The net exports.Consider an economy that is characterised by the following set of equations: C = co + C1YD Yp Y - T I bo + bịY %3D Government spending (G) and taxes (T) are constant. Note that investment () is proportional to output (Y). a) Solve for equilibrium output. b) Using your answer derived in (a) identify and discuss the multiplier. How does the relation between investment and output affect the value of the multiplier?You are given data on the following variables in an economy: Item Value Government spending 300 Planned investment 200 Net exports 50 Autonomous taxes 250 Income tax rate 0.1 Marginal propensity to consume 0.5 Consumption (C) is 600 when income (Y) is equal to 1500. a. Solve for autonomous consumption and equilibrium level of output if there is an income tax t=0.2. b. In the economy with an income tax of 10%, what is the budget balance of the government? c. Briefly explain the function of the multiplier as part of Keynesian
- b. Consider the following Keynesian Model: C= 50 + 0.4Yd T= 40 I=0.2Y X= 16 G= 30 M= 20 a. Using the equilibrium condition, solve for the value of the equilibrium output. b. What is the value of consumption? c. Write the savings function and use it to calculate the value of savings. d. What is the value of the multiplier? e. Is there a trade deficit or surplus? Give reasons for your answer.The following equations describe an economy. Y=C+I+G C=120+0.6(Y-T) I=100-10r, G=60 T=40 M/P=Y-20r. M=600 P=20 a. Derive the equations for IS and LM curves. b. Find the equilibrium level of income and the equilibrium interest rate. c. Suppose government expenditure increases by 50%. Find the equilibrium interest rate and income.1. Suppose that the economy can be described by the following equations: C= 400 + (8/9)*DI I= 300 G= 800 T=(1/2)*Y (X -М) 3 0. a. If national income (Y) increased by $1, by how much would consumption increase? What is the name of this concept? b. Find the equilibrium level of output. c. The budget for this fiscal year increases government spending by $50. i) Sketch the effect of the increase in government spending. ii) Calculate the new equilibrium level of income. iii) Calculate the change in income and compare to the increase in government spending. Comment. iv) Given your numerical answer in part (iii), calculate the change in national income when government spending increases by one dollar. v) Derive the actual value of the fiscal multiplier using an algebraic equation. Compare to part (iv). Now G assumes its original value of G = 800. d. Congress decreases the tax rate from (1/2) to (1/4) i) Sketch the effect of the decrease in the tax rate. ii) Calculate the new equilibrium level…
- Consider the macroeconomic model shown below: C = 500+ 0.80Y | = 1,500 G = 1,000 NX = - 100 Y=C+I+G + NX Consumption function Planned investment function Government spending function Net export function Equilibrium condition Fill in the following table. (Enter your responses as integers.) Aggregate Expenditures (AE) $ $ GDP $11,600 $17,400 Unplanned Change in InventoriesIn the IS curve model, the consumer demand can be represented by the following equation: C = a + B(YT) where C is consumption, Y is gross domestic product and T are taxes. Which of the following hold(s) ? Select one or more: a.The value of ß can be any number greater than 0 b. If household income increases by 1, consumption increases by C.The value of a can be any number greater than 0 d. a represents consumption required to survive e. Ca represents consumption for leisure f. According to the equation, the interest rate can influence consumer demandAn economy is initially described by the following equations: Y = C+I+G C= 59.+0.8(Y-T)... I= 125- 10r (M/P)d = Y-4or G = 150 T 100 M = 2,000 P = 5 Derive the functions of the IS curve and the LM curve. Calculate %3D а. the equilibrium interest rate and income. b. Suppose a newly elected president cuts taxes by 20%. Assuming that the money supply is held constant, what are the new equilibrium interest rate and income? What is the tax multiplier? C. Now assume that the central bank adjusts the money supply to hold the interest rate constant? What is the new equilibrium income? What must the new money supply be?
- Consider an economy described by the following equations:Y=C + I +GY=7,000G=4000T=2,000C=150+0.75(Y-T)I=1,000-50rb. Calculate the equilibrium interest rate. c. Now suppose the G rises by 1,000. Compute private saving, public saving, andnational saving.d. Calculate the new equilibrium interest rate.For these 3 questions please only show the graphical response.The equilibrium position for an economy is represented by the following equations: Y = C + I, + G %3D C = a + b(Y – T) T = tY Let a = 25, b = 0.8 and t = (0.3. %3D Determine the value of the multiplier for this economy. Show your working.Consider an economy in which autonomous consumption, planned autonomous investment, autonomous government expenditure, autonomous taxes, and the marginal propensity to consume are given (there are no net exports). Autonomous consumer spending = $3,000 Ip = $5,000 G = $3,000 T = $4,000 MPC = .75 (a) What is the level of C when Y = $19,000? I need help to know how to calculate this.