In a closed economy, the consumption function is C = 80 + 0.8YD − 20r, where YD is disposable income, taxes T x = 200 and transfers are T r = 100. The investment function is I = 550 − 130r. Output is Y = 1000. Here the real interest rate is measured in percentage points (e.g. for r = 5% use 5 and not 0.05). (A)  Find net taxes T and government spending G if the government budget is balanced. (B)  Derive the total savings function S(r). Do savings depend on the interest rate? If yes, positively or negatively? Why could that happen? (C)  Find the equilibrium on the loanable funds market: find, at equilibrium, r, S and I. (D)  The government raises its spending by 150 and finances this by borrowing. Find the new equilibrium. Does the crowding out effect takes place? If yes, describe it in detail: what crowds out what. If not, explain why. (E)  Instead, the government raises its spending by the same 150 and finances this by raising taxes by an equal amount (to keep the budget balanced). Find the new equilibrium. Does the crowding out effect takes place? If yes, describe it in detail: what crowds out what. If not, explain why. (F)  Draw the loanable funds market diagram. Show the initial equilibrium and the two equilibria under the two fiscal policies.

MACROECONOMICS
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Chapter9: Demand-side Equilibrium: Unemployment Or Inflation?
Section9.A: The Simple Algebra Of Income Determination And The Multiplier
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In a closed economy, the consumption function is C = 80 + 0.8YD − 20r, where YD is disposable income, taxes T x = 200 and transfers are T r = 100. The investment function is I = 550 − 130r. Output is Y = 1000. Here the real interest rate is measured in percentage points (e.g. for r = 5% use 5 and not 0.05).

  1. (A)  Find net taxes T and government spending G if the government budget is balanced.

  2. (B)  Derive the total savings function S(r). Do savings depend on the interest rate? If yes, positively

    or negatively? Why could that happen?

  3. (C)  Find the equilibrium on the loanable funds market: find, at equilibrium, r, S and I.

  4. (D)  The government raises its spending by 150 and finances this by borrowing. Find the new equilibrium. Does the crowding out effect takes place? If yes, describe it in detail: what crowds out what. If not, explain why.

  5. (E)  Instead, the government raises its spending by the same 150 and finances this by raising taxes by an equal amount (to keep the budget balanced). Find the new equilibrium. Does the crowding out effect takes place? If yes, describe it in detail: what crowds out what. If not, explain why.

  6. (F)  Draw the loanable funds market diagram. Show the initial equilibrium and the two equilibria under the two fiscal policies.

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