Alright. So let's go through this example. We want to use the following information to solve for macroeconomic equilibrium. And remember, the macroeconomic equilibrium is where GDP \( y \) is equal to \( c + g + nx \). Okay? \( y = c + g + nx \). So we want to add all of those together. So let's go ahead and start here. We want \( y \) to equal \( c + g + nx \). So let's start with \( c \). Notice they gave us \( c \), \( I \), \( g \), and then they didn't give us \( nx \). They gave us exports and imports. This is the terminology they might use for that. But let's start here with consumption. So let's start with consumption as \( c \), which is \( 2000 + 0.65y \). So that is our consumption function right there. \( 2000 + 0.65y \). So I'm going to go like this for \( C \) and then we're going to add to it plus investment of 32,100, and this is \( I \) right here. We're gonna add to it government purchases of 28,100 which is \( g \). And then net exports, they didn't tell us directly. They gave us an amount of exports and amount of imports. So we have to remember that net exports is equal to exports. So exports would be \( x - m \), right? Exports minus imports is our net exports. Okay? So, in this case, they tell us that our exports were 500 and our imports were 1,500. So that means we were importing more than we were exporting, right? There were more imports than exports, so we're gonna have a negative number for our net exports and that's generally the case that that kind of happens a lot in these problems especially because currently the US is in a trade deficit where we import more than we export. So we generally are gonna see a negative number for net exports. So there we go. We've got \( C + I + g + nx \), right? So notice they gave us the \( c \) as an equation and net export as an equation. So let's go ahead and simplify this first. Let's add up all of our constants together. So we had 2,000, let's circle them all, 2,000 plus 32,100 plus 28,100 plus 500 minus 1,500. So let's do that math real quick. 2,000 + 32,100 plus 28,100 plus 500 minus 1,500, that comes out to 61300. So this is generally how you're gonna want to do these problems. Add up all of your constants together, and then you're going to have your 0.65y piece right here, plus \( 0.65y \). Okay? So notice, we've simplified this quite a bit, right? Now, we've got just one constant and our marginal propensity to consume times \( Y \). So what we want to do now is we want to solve for \( Y \). We want to find that equilibrium amount of GDP. So what we want to do is we're going to subtract \( 0.65y \) from both sides to get all the \( y \)'s on one side. And we're gonna be left with \( y - 0.65y \). Do you guys remember how to do that? Well, this is just like one \( y \), right? So one \( y - 0.65y \) is equal to \( 0.35y \). I know a lot of you still struggle with these algebra things, but this is about as tough as it's gonna get here. That's the toughest thing you're gonna have to do with these algebraic equations. So nothing too crazy. So here we go, \( 0.35y = 61300 \). We divide both sides by 0.35 and that'll get us to have \( y \) by itself. So finally, we've got \( y \) equals. So our final equation here is \( 61300 / 0.35 \) and we get 175,143. \( 175,143 \) is our equilibrium GDP, and that's where aggregate expenditures equals GDP, which is \( y \). Right? \( A = GDP \) when \( y = 175,143 \). Simple as that. Alright? So that's all you gotta do is you just gotta add up all your consumption, investment, government, and net exports together and solve for \( y \), cool? Alright, let's pause here and you guys try the next one in the practice problem. I've thrown some tricks at you, so if you get hung up, go ahead and watch the video.
- 1. Introduction to Macroeconomics1h 57m
- 2. Introductory Economic Models59m
- 3. Supply and Demand3h 43m
- Introduction to Supply and Demand10m
- The Basics of Demand7m
- Individual Demand and Market Demand6m
- Shifting Demand44m
- The Basics of Supply3m
- Individual Supply and Market Supply6m
- Shifting Supply28m
- Big Daddy Shift Summary8m
- Supply and Demand Together: Equilibrium, Shortage, and Surplus10m
- Supply and Demand Together: One-sided Shifts22m
- Supply and Demand Together: Both Shift34m
- Supply and Demand: Quantitative Analysis40m
- 4. Elasticity2h 26m
- Percentage Change and Price Elasticity of Demand19m
- Elasticity and the Midpoint Method20m
- Price Elasticity of Demand on a Graph11m
- Determinants of Price Elasticity of Demand6m
- Total Revenue Test13m
- Total Revenue Along a Linear Demand Curve14m
- Income Elasticity of Demand23m
- Cross-Price Elasticity of Demand11m
- Price Elasticity of Supply12m
- Price Elasticity of Supply on a Graph3m
- Elasticity Summary9m
- 5. Consumer and Producer Surplus; Price Ceilings and Price Floors3h 40m
- Consumer Surplus and WIllingness to Pay33m
- Producer Surplus and Willingness to Sell26m
- Economic Surplus and Efficiency18m
- Quantitative Analysis of Consumer and Producer Surplus at Equilibrium28m
- Price Ceilings, Price Floors, and Black Markets38m
- Quantitative Analysis of Price Ceilings and Floors: Finding Points20m
- Quantitative Analysis of Price Ceilings and Floors: Finding Areas54m
- 6. Introduction to Taxes1h 25m
- 7. Externalities1h 3m
- 8. The Types of Goods1h 13m
- 9. International Trade1h 16m
- 10. Introducing Economic Concepts49m
- Introducing Concepts - Business Cycle7m
- Introducing Concepts - Nominal GDP and Real GDP12m
- Introducing Concepts - Unemployment and Inflation3m
- Introducing Concepts - Economic Growth6m
- Introducing Concepts - Savings and Investment5m
- Introducing Concepts - Trade Deficit and Surplus6m
- Introducing Concepts - Monetary Policy and Fiscal Policy7m
- 11. Gross Domestic Product (GDP) and Consumer Price Index (CPI)1h 37m
- Calculating GDP11m
- Detailed Explanation of GDP Components9m
- Value Added Method for Measuring GDP1m
- Nominal GDP and Real GDP22m
- Shortcomings of GDP8m
- Calculating GDP Using the Income Approach10m
- Other Measures of Total Production and Total Income5m
- Consumer Price Index (CPI)13m
- Using CPI to Adjust for Inflation7m
- Problems with the Consumer Price Index (CPI)6m
- 12. Unemployment and Inflation1h 22m
- Labor Force and Unemployment9m
- Types of Unemployment12m
- Labor Unions and Collective Bargaining6m
- Unemployment: Minimum Wage Laws and Efficiency Wages7m
- Unemployment Trends7m
- Nominal Interest, Real Interest, and the Fisher Equation10m
- Nominal Income and Real Income12m
- Who is Affected by Inflation?5m
- Demand-Pull and Cost-Push Inflation6m
- Costs of Inflation: Shoe-leather Costs and Menu Costs4m
- 13. Productivity and Economic Growth1h 17m
- 14. The Financial System1h 37m
- 15. Income and Consumption52m
- 16. Deriving the Aggregate Expenditures Model1h 22m
- 17. Aggregate Demand and Aggregate Supply Analysis1h 18m
- 18. The Monetary System1h 1m
- The Functions of Money; The Kinds of Money8m
- Defining the Money Supply: M1 and M24m
- Required Reserves and the Deposit Multiplier8m
- Introduction to the Federal Reserve8m
- The Federal Reserve and the Money Supply11m
- History of the US Banking System9m
- The Financial Crisis of 2007-2009 (The Great Recession)10m
- 19. Monetary Policy1h 32m
- 20. Fiscal Policy1h 0m
- 21. Revisiting Inflation, Unemployment, and Policy46m
- 22. Balance of Payments30m
- 23. Exchange Rates1h 16m
- Exchange Rates: Introduction14m
- Exchange Rates: Nominal and Real13m
- Exchange Rates: Equilibrium6m
- Exchange Rates: Shifts in Supply and Demand11m
- Exchange Rates and Net Exports6m
- Exchange Rates: Fixed, Flexible, and Managed Float5m
- Exchange Rates: Purchasing Power Parity7m
- The Gold Standard4m
- The Bretton Woods System6m
- 24. Macroeconomic Schools of Thought40m
- 25. Dynamic AD/AS Model35m
- 26. Special Topics11m
16. Deriving the Aggregate Expenditures Model
AE Model: Algebraic Approach
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