1. 1. Marginal Propensity to Consume (MPC) = ∆ consumption (C)/ ∆ Disposable Income (DI) DI and Disposable Personal Income (DPI) can be used interchangeably. 2. Marginal Propensity to Save (MPS) = ∆ savings (S)/ ∆ Disposable Income (DI) MPC + MPS = 1. The Multipliers Homework

2. 3. Autonomous Expenditure Multiplier (The Multiplier) 1/ 1-MPC OR 1/MPS OR ∆ Real GDP/ ∆ Autonomous Expenditure (C, I, or G)

3. 4. Government Spending/ Purchases Multiplier = Same as the Multiplier! WARNING! If the government changes transfer payments (Social Security, Welfare, Student Loans) only then the multiplier will be smaller because the recipients of the payments will consume some of the payments and SAVE some of the payments.

4. 5. Transfer Payments Multiplier = MPC X Multiplier OR Transfer Payments Multiplier = MPC/MPS. 6. Tax Multiplier = -MPC X Multiplier OR Tax Multiplier = -MPC/MPS.

5. a.What happens when people get a tax cut? b. What two things can you do with income? Spend (Consume) it or save it! c. If people save some of their tax cut the tax multiplier will not be as great as the government purchases multiplier. Conversely if their taxes are raised they will consume less AND save less. a.What happens when people get a tax increase? Their DI decreases! Their DI increases!

6. 7. Balanced Budget Multiplier = Government Purchases Multiplier + Tax Multiplier = 1 An increase in government spending (G) that is met with an equal increase in taxes (T) in order to maintain a balanced budget will boost the GDP by an equal amount. Equal increases in G and T will expand GDP by an amount equal to that increase.

7. 8. Net Exports Multiplier = 1/ (MPS + MPM) MPM = Marginal Propensity to iMport = ∆ Imports/ ∆GDP ↑ AD  ↑ D for Money (borrowing)  ↑ Domestic Interest Rates  ↑ Foreign Demand for $  $ appreciates  N X ↓  AD ↓  contractionary offset to the expansionary fiscal policy! BUT... As economy enters a recession  Expansionary Fiscal Policy (↑ G OR ↑ TP OR ↓ T)  ↑ AD

8. If economy has inflation  Contractionary Fiscal Policy (↓ G OR ↓ TP OR ↑ T)  ↓ in AD BUT... ↓ in AD  ↓ D for Money (borrowing)  ↓ Domestic Interest Rates  ↓ Foreign Demand for $  $ depreciates  N X ↑  AD ↑  expansionary offset to the contractionary fiscal policy!

9. Calculate the marginal propensities to consume, save, import, and the various multipliers (#1-8) using the chart below. 20032004 Disposable Income (DI) 10001200 Consumption (C) 800920

10. 20032004 Disposable Income (DI) 10001200 Consumption (C) 800920 MPC = ∆C/ ∆DI 120 ÷ 200 =.6 MPS = 1- MPC 1-.6 =.4 Calculating the MPC and MPS

11. Then answer these questions: 1. A $1,000,000 increase in autonomous expenditure would increase GDP by how much? Show your work! $1,000,000 x 2.5 = $2,500,000 Multiplier = 1/ 1-MPC OR 1/ MPS 1÷ (1-.6) = 1 ÷.4 = 2.5 MPC =.6 MPS =.4

12. 2. A $1,000,000 increase in government spending would increase GDP by how much? Show your work! $1,000,000 x 2.5 = $2,500,000 Government Spending Multiplier is the same as the Multiplier so it equals 2.5.

13. 3. A $1,000,000 increase in transfer payments would increase GDP by how much? Show your work! $1,000,000 x 1.5 = $1,500,000 TP Multiplier = MPC x Multiplier OR TP Multiplier = MPC/ MPS.6 x 2.5 = 1.5 OR.6 ÷.4 = 1.5

14. 4. A $1,000,000 decrease in taxes would increase GDP by how much? Show your work! $-1,000,000 x -1.5 = $1,500,000 Tax Multiplier = -MPC x Multiplier OR Tax Multiplier = -MPC/ MPS -.6 x 2.5 = -1.5 OR -.6 ÷.4 = -1.5

15. 5. A $1,000,000 increase in government spending accompanied by a $1,000,000 increase in taxes would increase GDP by how much? Show your work! $1,000,000 x 1 = $1,000,000 Balanced Budget Multiplier = Government Purchases Multiplier + Tax Multiplier 2.5 + (-1.5) = 1.0

16. 6. A $1,000,000 increase in government spending would increase GDP by how much if the marginal propensity to import were.1 ? Show your work! $1,000,000 x 2.0 = $2,000,000 Net Exports Multiplier = 1 ÷ (MPS + MPM) 1 ÷ (.4 +.1) = 2.0 MPM =.1 MPS =.4