Diary of Econ 7210, Spring 23, 2nd Session

1. 5 Mar 24 We review again Competitive finish Measure Theory

We use no arbitrage conditions to price all kind of securities. We discuss the role of Preference Shocks. We start endogenous productivity and competitive search.

We talk about the economy with a stock market. We start talking about economies with heterogeneity, starting with wealth. We talk about other types of heterogeneity (skills) and move into a two country economy. We start the Lucas tree. We look at Lucas trees and derive a pricing condition.

I describe the course and discussed some context of what are the main facts over which macro has to be organized around:
1. output per capita has grown at a roughly constant rate
2. the capital-output ratio has remained roughly constant (where capital is measured using the perpetual inventory method based on past consumption foregone)
3. the capital-labor ratio has grown at a roughly constant rate equal to the growth rate of output
4. the wage rate has grown at a roughly constant rate equal to the growth rate of output
5. the real interest rate has been stationary and, during long periods, roughly constant
6. labor income as a share of output has remained roughly constant
7. hours worked per capita have been roughly constant.
I discuss what restrictions do these facts pose on the models that we use.
I discuss some of the limitations of this point of view.
I discuss what is the meaning of an equilibrium (a mapping from environment to allocations)
I go very fast over RCE equilibrium. First an optimal one. Then a few that are not optimal: We pose a government that spends.
We describe equilibrium of economies where the welfare theorems are of no use: a government financing a public good with capital income taxes.
We discuss an environment with capital income taxation and government debt.
We talk about various forms of habits and/or externalities in consumption.