Advanced International Trade (Spring 23)
This course introduces workhorse models and estimation methods in modern international trade literature. The structure is built upon Prof. Costas Arkolakis' and Prof. Treb Allen's graduate trade courses.
Assessment: problem sets + class participation (10%), midterm presentation (30%), research proposal (60%)
class participation: at the beginning of each class, each student turns in their solution to the exercises assigned the previous week
midterm presentation: in the mid/late semester, each student presents a paper related to their research
research proposal: at the end of the semester, each student submits a proposal for a research project related to international trade
Week 1 (3/1) :
Overview of the course
Basic concepts:
categorization of trade models by the motives of trade,
competitive equilibrium,
atheoretical gravity equations (to motivate structural models)
Exercise: write down the definition of the competitive equilibrium in a closed economy with a representative consumer and a representative firm in a single sector.
In the following four classes, we will micro-found the gravity equations by introducing the models in
Anderson (79)
Krugman (80)
Melitz (03) & Chaney (08)
Eaton-Kortum (03)
Week 2 (3/8) :
the Armington setup
environment: timing, commodity space, preference, technology, market structure (assume competitive market)
optimization:
consumer: demand curve
firm(s): supply curve
combining the two, we get our first micro-founded gravity equation!
Exercises:
derive the above objects
close the model by imposing the market clearance conditions (how many markets are there?)
Week 3 (3/15) :
Krugman (1980)
Exercise:
How does the gravity equation in Krugman's environment differ from the Armington setup?
What implications can we draw from Krugman's model but not from the Armington setup?
Week 4 (3/22) :
We worked through a simplified, static version of the model in Hopenhayn (1992), which is one of the two main building blocks of the Melitz model (the other building block is Krugman (1980)).
The key elements are
firm heterogeneity,
the sunk cost of entry, and
the fixed cost of production.
These elements combined generate selection across firms, which is absent in Krugman's homogeneous firm environment.
In class, we discussed how an increase in the entry cost, ke, affects a*.
Exercise:
How does p* change when k decreases? Assume the productivity of the potential entrants follow a Pareto distribution (and assume the shape parameter adopts value for integrability) What is the intuition?
Week 5 (3/29) :
Review and Q&A
Week 6 (4/5) :
Ch'ing Ming, no class
Week 7 (4/12) :
Hopenhayn (1992)
Week 8 (4/19) :
Chaney (2008)
Exercise:
Type the derivation of Proposition I & II in the paper in Lyx
Week 9 (4/26) :
Structural models, structural estimation
We talked about how structural models enrich the questions one can answer
... no longer restricted by the interpretation of regression coefficients that all the other factors are held constant
When it comes to parameterization, we explained the difference between reduced-form estimation and structural estimation
Eaton-Kortum (2002)
We stopped at equation (8) in the paper
Exercise:
Derive equation (8) in the paper
Week 10 (5/3)
International Worker's Day, no class
Week 11 (5/10)
Midterm presentation pick one paper to present
Estimation related to Melitz (2003) and Chaney (2008)
Eaton, J., Kortum, S., & Kramarz, F. (2011). An anatomy of international trade: Evidence from French firms. Econometrica, 79(5), 1453-1498.
Crozet, M., & Koenig, P. (2010). Structural gravity equations with intensive and extensive margins. Canadian Journal of Economics/Revue canadienne d'économique, 43(1), 41-62.
Chaney, T. (2014). The network structure of international trade. American Economic Review, 104(11), 3600-3634.
Eaton, J., Kortum, S., & Kramarz, F. (2004). Dissecting trade: Firms, industries, and export destinations. American Economic Review, 94(2), 150-154.
Multinationals
Elhanan Helpman, Marc J. Melitz and Stephen R. Yeaple, Export versus FDI with Heterogeneous Firms, The American Economic Review Vol. 94, No. 1 (Mar., 2004), pp. 300-316
Sheng Cai and Wei Xiang, Multinational Production, Technology Diffusion, and Economic Growth , working paper
Week 11 (5/17)
Eaton Kortum (2002)
Week 12 (5/24)
Eaton Kortum (2002)
Week 13 (5/31)
Romando - Rodriguez-Clare (JPE, 2010)
Week 14 (6/7)
Alviarez-Cravino-Ramondo (JPE, 2021)
Week 14 (6/14)
Dyrda-Hong-Steinberg (Working paper, 2023)
Week 15 (6/21)
Presentations