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Macroeconomics: Economic Formula Sheet

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This page contains commonly used macroeconomics formulas. Use it as a quick reference while working through your assignments. If you have additional questions about your macroeconomics class or how to apply these formulas, join us in the Macroeconomics Office Hours session. 

Expand or collapse content Aggregate Expenditure in a Simple Model Without Government or Foreign Sectors

Aggregate Expenditure = Consumption + Investment 

AE = C + I 

Expand or collapse content Allocative Efficiency Condition  

Price = Marginal Cost, or more precisely, Marginal Social Benefit (MSB) = Marginal Social Cost (MSC) 

Expand or collapse content Autonomous Spending Multiplier

Multiplier =     1         =      1        

                  1 - MPC    MPS 

Expand or collapse content Bank’s Reserve Ratio 

Reserve Ratio = Bank Reserves

                             Total Deposits 

Expand or collapse content Budget Deficit

Budget Deficit = Federal Government Spending – Tax Collections (A negative deficit indicates a surplus)

Expand or collapse content Consumer Price Index (CPI)

CPI =     Cost of Market Basket in Base Year X 100

             Cost of Market Basket in Current Year 

Expand or collapse content Financial Account Balance

Financial Account Balance = Foreign Purchases of Home Assets – Home Purchases of Foreign Assets

Expand or collapse content Gross Domestic Product  

GDP = C + I + G + (X – M) 

GDP = NI + Depreciation + Indirect Taxes – Subsidies + Net Income of Foreigners

Expand or collapse content Gross Domestic Product Deflator  

GDP Deflator = Current Year Quantities X Current Year Prices  X 100

                          Current Year Quantities X Base Year Prices 

Expand or collapse content Income in a Simple Model Without Government or Foreign Sectors  

GDP = Consumption + Savings                              Y = C + S

Expand or collapse content Marginal Propensity to Consume (MPC) 

MPC = Change in Consumption 

              Change in Income 

Expand or collapse content Marginal Propensity to Save (MPS) 

MPS =  Change in Saving 

             Change in Income 

Expand or collapse content Marginal Propensity to Save and Marginal Propensity to Consume Sum 

MPC + MPS = 1

Expand or collapse content Merchandise Trade Balance  

Merchandise Trade Balance = Value of Merchandise Exports – Value of Merchandise Imports 

Expand or collapse content Nominal Interest Rate  

Nominal Interest Rate = Real Interest Rate + Anticipated Inflation

Expand or collapse content Okun’s Law  

% increase in unemployment above natural rate × 2 = % decrease in output 

Expand or collapse content Opportunity Cost 

Opportunity Cost = Quantity of Good Given up

                       Quantity of Good Made

Expand or collapse content Real GDP

Real GDP =                               Nominal GDP                                     X  100 

                         CPI* for the same year as the nominal figure 

*CPI or GDP deflator 

Expand or collapse content Real Interest Rate 

Real Interest Rate = Nominal Interest Rate – Anticipated Inflation

Expand or collapse content Rule of 70 

Doubling time =                70                           

                             % change per year 

With 10% inflation, prices double in 70/10 = 7 years

Expand or collapse content Slope

Slope = Change in Y coordinate     Slope =  Δ Y /  Δ X

              Change in X coordinate

Expand or collapse content Total Amount of Deposits Resulting from an Initial Deposit That Is Ultimately Held as Reserves  

Simple Money (or Deposit) Multiplier =                     1                                 

                                                                     Required Reserve Ratio

Expand or collapse content Unemployment Rate  

Unemployment Rate =  Unemployed 

                                         Labor Force 

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