Skip to main content

Macroeconomics: production possibilities curve (PPC)

  • Production possibilities curve (PPC): an economic model that depicts the trade-off an individual agent, or a country has when it allocates its resources between two goods or services.
    • PPC models scarcity because only a specific amount of the two goods can be produced and consumed at any point on the curve.
    • A country, or individual can produce/ consume efficiently if they are on the curve. They can produce and consume anywhere inside its PPC, but they would be under utilizing their resources.
    • PPC models opportunity cost, by showing how much one good must be given up in order to produce one additional unit of the other good.
  • An individual PPC: The PPC below shows the relationship between the amount of time spent on relaxing and working in a day.
    • At point A, the individual is willing work 5 hours and relax for 19 hours. This choice involves an opportunity cost which is the benefit she would have gained by working more and relaxing less (and vice versa...).
    • At point B, the individual is working 18 hours and relaxing for 6 hours. The opportunity cost of working 13 extra hours is the 13 fewer hours they get to spend relaxing.
  • A country's PPC (constant opportunity cost): assume this country only produces two goods; deep dish pizzas and regular pizzas.
    • Since the slope was arbitrarily chosen to be -2x, the opportunity cost of one more  deep dish pizza will always be two regular pizzas (and vice versa).
  • A country's PPC (increasing opportunity cost): using the same country, this time the two goods will be computers and deep dish pizzas. 
    • The production of pizza is land intensive, its ingredients require a lot of land use. Furthermore, this production requires two types of specialized labor; farmers and cooks.
    • the production of computers require a type of labor that is highly skilled, for example engineers. Also, the production of computers is less land intensive than pizza. 
    • Because land and labor resources are  not perfectly adaptable to making computers or pizza, the opportunity cost  to increase the production of computers rises in terms of pizzas the more computers are produced.
    • The law of increasing opportunity cost states that as the output for one good increases, the opportunity cost of producing another unit rises. Then, the PPC must have a convex shape.
    • Notice that the opportunity cost of producing the first computer is one pizza, but the cost of producing the fourth computer is 7 pizzas.
Reference: Welker, Jason. AP Maroeconomics Crash Course. Research & Education Association (2014). p 28-33.

Comments

Popular posts from this blog

Econometrics: Bivariate population model

Hello I'm finally back from my extended break. I thought that we should start studying Econometrics.  Let's begin by analyzing a simple bivariate regression. Assume that this equation describes the relationship between two variables X and Y. We say that Y is the dependent variable, whereas X is the independent variable. In other words, we assume that Y (the output) depends on X (the input). Epsilon is the error term, it represents other factors that affect Y. The error term must be uncorrelated with the variable X so that we do not need to include them in our regression, and thus the coefficient of X (beta) should not change, even though Epsilon also determines Y.  beta-0 is the constant term. It tells us what would be Y if X=0. beta-1 is the effect on Y if X changes by one unit. To see this, assume X=education is a continuous function, let's take the derivative of Y=wage with respect to X: Thus, if education goes up by one unit, we should expect, on average, wage to go up

Macroeconomics: multiplier and crowding out effects

Multiplier effect: whenever   any of the components of AD increases, the increase in GDP will be greater than the initial increase in expenditures. The impact on GDP of a particular increase in spending depends on the proportion of the new income that is taken out of the system to the proportion that continues to circulate in the economy. The multiplier effect tells us the impact a particular change in one the components of AD will have on the total income (GDP).  Let k denote the spending multiplier, which is a function of MPC and MPS. The larger the marginal propensity to consume, the larger the spending multiplier. Notice that the larger the MPC, the greater the impact a particular change in the spending variables will have on the nation's GDP. The crowding out effect: If government spending increases without an increase in taxes, the government must borrow funds from the private sector to finance its deficit, thereby increasing the interest rate. This increase in interest rate,

Econometrics: OLS estimates

  Let X and Y be column vectors and the sample has the size n: The vector beta contains both the coefficient of X as well as the coefficient for the intercept. This is equivalent to writing this equation: We will assume that the expected value of the error term is 0 (this can be done by construction), and that X is uncorrelated to epsilon. Assume the following is for population data. Let's prove that statement: Since we know that the covariance between X and epsilon is 0, it follows that the expected value of X times the error term must also be 0. Since we do not have access to the actual expected value of the distribution, let's use the sample data instead: The hat on the covariance signifies that this is a MM estimator. Let's use the fact that the sample mean of epsilon is also equal to 0, then:   Using the estimation for the covariance and that the expected value of the error term equals 0: Then we have: To get this result, you must use the properties of the summation op