2. a) Derive the equation for the Keynesian Cross and draw it on a diagram with Y on both the horizontal and vertical axes. What is output? Assume that r = 0.1 for this part of the question. Hint: Use the equation Y = C d +I d +G.
b) Suppose that government spending doubles to G' (prime aka future) = 200. The government still balances its budget. What is the effect on output? Show this on your diagram from part a).
c) What is the multiplier in this example? Interpret the multiplier. How is it related to the marginal propensity to consume? Discuss the implications of the multiplier for the effectiveness of government spending to stimulate output.
d) For the case where G = 100 derive the IS Curve. Plot the IS curve on a diagram with r on the vertical axis and Y on the horizontal axis. e) For the case where G' = 200 derive and draw the new IS Curve on your diagram.
2. a) Derive the equation for the Keynesian Cross and draw it on a diagram with Y on both the hor...
Please answer a, b, c, d
1. For the following question, assume that the consumption function is: C = 200+ 0.75(Y – T) The investment function is: I = 200 – 2.51 Government spending is fixed at G = 100 and the government has a balanced budget. The liquidity function is: L(Y,r) = Y – 10r Nominal money supply is 1,000 and the price level is equal to 2. a) Find the planned expenditure function and plot it on the...
1. Suppose that I give you an aggregate production function: Y = AK^(1/2)N^(1/2) a) Suppose that A = 1 and K = 4. Derive the labour demand curve. b) If the labour supply curve is: w = (1 − t) √ N^s Solve for the equilibrium real wage and full employment level of employment when t = 0.75. What is the full employment level of output? c) Suppose that A(prime aka future) = 1/2 temporarily. K is unchanged and the...
1. Use the Keynesian cross model and show graphically in which direction will equilibrium level of income (or output) change. For each of the following, write down the formula for the size of the change of income (i.e. write down the formula for ∆Y): (i) An increase in government purchases (ii) An increase in taxes (iii) An increase in government purchase and an increase in taxes of equal amount (Nb: You must draw a SEPARATE graph for parts (i) and...
5. In the Keynesian-cross analysis, assume that the analysis of taxes is changed so that taxes, T, are made a function of income, as in T=T + tY, where T and t are parameters of the tax code and t is positive but less than 1. As compared to a case where t is zero, the multiplier for government purchases in this case will: A) not change. B) be smaller. C) be bigger. D) be equal to 1. 6. Exhibit:...
Question 1. Consider 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. (18 points) a. If Y is 1,500, what is planned spending? Should equilibrium Y be higher or lower than 1,500? (4 points) b. 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...
The potential GDP line is a ________ on the Keynesian Cross diagram which indicates GDP at its potential on the horizontal axis. vertical line horizontal line sloping upward line The pure Keynesian AD-AS model assumes that for any level of GDP below potential, any change in AD affects real GDP, but NOT the ________. price level output level spending level Suppose an economy is defined by the following: C = 136 + 0.9 (Yd). The (Yd) in this algebraic equation...
Solve 1. 2. 3. 4. 5.
1 Keynesian Cross Assume that households' consumption function is given by C(Y -T) 50+ 0.75(Y T), that firms' investment function is I(r) 150 10r, government spending is G 150, and the tax bill T 200. 1. What is the Marginal Propensity to Consume "MPC")? 2. What is the equilibrium level of real GDP in the goods market if the real interest rate is 5%? (Plug in r = 5 for 5%, rather than 0.05...
10. In the Keynesian Cross analysis, if the consumption function is given by C = 100 + 0.6(Y − T) and planned investment is 100, G = T = 100, then equilibrium Y is: a) 350 b) 400 c) 600 d) 750 11. Assume that the money demand function is L(r) = 2200 − 200r, where r is the interest rate in percent. The money supply is 2000 and the price level is 2. The equilibrium interest rate is percent....
2. Assume the following Keynesian model: C = 400 + .75Yd I = 200 G = 100 X = 150 M = 50 + .15 Yd T = 100 a. Find the aggregate expenditure function b. Find the equilibrium level of GDP. c. Using a “Keynesian cross” (or 45-degree line) diagram, show graphically the equilibrium in part a). d. What is the spending multiplier in this model? Tax multiplier? e. Show that leakages are equal to injections at equilibrium. f....
Question 2 In the Keynesian cross, assume that the consumption function is given by C = 150 +0.7 (Y-T) Planned investment is: I = 100 - 10 *r Government purchases and taxes are both 50. a. Graph consumption as function of income. b.Graph investment as function of the real interest rate. c.Suppose that the real interest rate is 5. Write the equation of the planned expenditure. d.Suppose that the real interest rate is 5. What is the equilibrium level of...