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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
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.
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- It is possible that the interest rate might affect consumption spending. An increase in the interest rate could, in principle, lead to increases in saving and therefore a reduction in consumption, given the level of income. Suppose that consumption is, in fact, reduced by an increase in the interest rate. How will the IS curve be affected?Consider an economy with the following features: Consumption, C = 130 + 0.5Yd Income tax, T = 20 + 0.2Y Investment, I = 200 – 600r Government expenditure, G = 112 Real money demand, Md/P = 50 + 0.5Y – 600r Nominal money supply, Ms = 600 Price level, P = 2 where Yd stands for disposable income, and r for the rate of interest. Derive the IS and LM equations. Calculate the equilibrium levels of income and rate of interest.Due to some negative news concerning the impact of global warming on the economy, consumers are becoming more pessimistic about the future to the point of reducing autonomous consumption by 50. What is the immediate impact on income before the economy adjusts to its new equilibrium? What are the economy’s equilibrium level of output Y and interest rate r following the fall in autonomous consumption? Compute the equilibrium level of consumption and investment spending. With the help of the IS/LM graph, carefully explain what happens to the economy following the fall in consumer confidence.
- Assume the following model of the economy Y =C+I+G C = 120 + 0.5 (Y-T) I= 100 -10r G = 50 T=40 Derive the equation for the IS curve, showing Y as a function of r alone. Solve for the value of Y when r=10%, r=15%, r=20%Determine whether each of the following statements is true or false, and explain why it is true or false. Use the graph to clarify your answer. [2 x 3 marks] If the investment does not depend on the interest rate, IS curve is vertical. If there is an increase in Government expenditure IS curve will shift to the left.Consider an economy described by the following equations:Y = C + I + GY = 5,000G = 1,000T = 1,000C = 250 + 0.75(Y −T )I = 1,000 − 50 r. a) find the equilibrium interest rate
- An economy is described by the following equations: C= 1500 + 0.75(Y - T) po = 800 G= 1500 X = 100 M=0 T=1500 †=0 Y* = 12000 a) Find a numerical equation linking planned aggregate expenditure to output. b) Find its exogenous expenditure and induced expenditure in this economyThe private consumption of Macroland is given by C=500+0.75Y and the private investment function is given by I=400−1000r, where r is the interest rate and Y is the GDP. The planned aggregate expenditure can therefore be written as PE=C+I=900+0.75Y−1000r. The equilibrium in the goods and services market happens when the planned expenditure is equal to the actual expenditure, or PE=Y Find the equilibrium GDP by solving the system of equations PE=900+0.75Y-1000r PE= Y for Y and PE. Note your solutions will depend on r! 1. Plot your solution for Y in a diagram measuring Y on the horizontal axis and r on the vertical axis. This curve is called the IS curve.Which of the following correctly describes how a decrease in the price level affects consumption spending? Select one: a. A decrease in the price level raises real wealth, which causes consumption to increase. b. A decrease in the price level decreases the amount of money a household needs to buy goods and so raises the interest rate, which causes consumption to increase. c. A decrease in the price level increases the amount of money a household needs to buy goods and so raises the interest rate, which causes consumption to increase. d. A decrease in the price level lowers real wealth, which causes consumption to decrease.
- economics Consider a goods market equilibrium (The aggregate expenditure model) in a closed economy a) Equationally and graphically (using the graph above) show (define) a goods market equilibrium b) Explain which factor changes the slope of the ZZ(or D, demand) curve and which factors shift the ZZ curve c) Suppose that marginal propensity to consume is equal to 0.8. Explain how much an increase in government spending 500 million of dollars raises real output and why output increases more than government spending?In the below table, C is consumption expenditure, Iis investment, G is government expenditure, and NX is the net exports. All entries are in million dollars. (SHOW THE STEPS OF CALCULATIONS) a) What is the equilibrium level of real GDP? b) What is the slope of the aggregate expenditure function? c) What is the unplanned inventory change when GDP is equal to $2200 million? d) How much is the level of savings when income is $2300 million?Calculate the equilibrium value of output Y and interest rate r (round off your answers to one decimal point). Compute also the level of consumption and investment spending in equilibrium and check whether the actual level of spending matches the equilibrium level of output.