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Chapter 5, Problem 2QAP

a.

To determine

To explain:Value of multiplier for a change in autonomous spending.

b.

To determine

To explain: The effect of change in autonomous spending is bigger than what it was in sub part (a).

c.

To determine

To calculate: Equilibrium output at the interest rate ( i¯ ) which is chosen by central bank.

d.

To determine

To draw: Equilibrium of this economy using IS-LM diagram.

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Consider first the goods market model with constant investment that we saw in Chapter 3. Consumption is given by C = c0 + c1(Y - T) and I, G, and T are given.   a. Solve for equilibrium output. What is the value of the multiplier for a change in autoomous spending?   b.Now let investment depend on both sales and the interest rate: I = b0 + b1Y - b2i Solve for equilibrium output using the methods learned in Chapter 3. At a given interest rate, why is the effect of a change in autonomous spending bigger than what it was in part a? In other words, why the multiplier is now bigger?
a. Is the equilibrium level of income higher or lower than it was in problem 1(a)? Calculate the new equilibrium level, Y', to verify this. b. Now suppose investment increases to I = 100, just as, in problem 1(d). What is the new equilibrium income? Does this change in investment spending have more or less of an effect on Y than it did in problem 1? Why? Draw a diagram indicating the change in equilibrium income in this case. с. d. 3. Now we look at the role taxes play in determining equilibrium income. Suppose we have an economy of the type in Sections 10-4 and 10-5, described by the following functions: C = 50 +.8YD I = 70 G = 200 TR = 100 1-0-0-20. t = .20 a. Calculate the equilibrium level of income and the multiplier in this model. b. Calculate also the budget surplus, BS. c. Suppose that t increases to .25. What is the new equilibrium income? The new multiplier? d. Calculate the change in the budget surplus. Would you expect the change in the surplus to be more or less if c = .9…
Based on the following information: C = 40 + 0.7Yd, T = Tg – R, I = 200, G = 350, Tg = 60, R = 40 calculate the equilibrium level of income (Ye). calculate the value of kG, kTg and kR, where k is the multiplier.. calculate the values of C, S and T at Ye level. calculate the new equilibrium level of income if I increases by 10 percent. if G increases to 550 units and it is fully funded by the rise in T, what is the impact on Ye? if Tg increases to 85 units and R increases to 50 units, what is the effect on the level of Ye?   Given the following information. C = 600 + 0.8Yd , Yd = Y – T, Tg = 100, I= 200, R = 50, G = 350, X = 250 and M = 200 + 0.1Y. Calculate the equilibrium level of income (Ye). Show the equilibrium level of income by using diagrams of both aggregate expenditure-income (AE-Y) approach and injection-leakage approach, How much investment should be increased if the government wants to increase the national income by 2000? How much tax has to be reduced so that…

Chapter 5 Solutions

Macroeconomics, Student Value Edition Plus MyLab Economics with Pearson eText -- Access Card Package (7th Edition)

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