Jim Whitney Economics 311

February 09, 2012

Supply and Demand geometry for the trade market

    The trade market depicts transactions that occur between large trading partners. When large partners trade, their transactions set equilibrium world prices that depend on how much the countries end up trading with each other. The supply and demand curves specific to the trade market are:
        Dm = the demand for imports by the buying country, and
        Sx = the supply of exports by the selling country.
To illustrate how the market works, consider the possibility of beer trade between the U.S. and Germany.
    Step1: Find each country's autarky (no trade) equilibrium based on the country's domestic supply and demand conditions. The country with the higher autarky price (Pa) -- the U.S. in this example will demand imports of beer with trade, and the country with the lower Pa (Germany) will supply exports of beer. The equilibrium trade price will end up somewhere between the U.S. and German autarky prices.
    Step2: Plot the U.S. import demand curve (Dm by US) and Germany's export supply curve (Sx by Ger) in the trade market. Here are the formulas for plotting each of the curves:
        Dm: For any price below the importer's Pa, quantity demanded of imports, Qm = Qd
- Qs. (Table column d)
        Sx: For any price above the exporter's Pa, quantity supplied of exports, Qx = Qs
- Qd . (Table column h)
    Step 3: Use the Dm and Sx curves in the trade market to determine the equilibrium trade price and quantity traded.
    To do: (1) Derive the Qm data and plot Dm for the U.S. (Germany has already been completed.)
    (2) With free trade, the equilibrium price for beer = $______, and the equilibrium quantity traded = ______ million 6-packs.

U.S.   Germany (')
Domestic market Trade market   Domestic market Trade market
a b c d   e f g h
P Qd Qs Qm (imported)   P Qd Qs Qx (exported)
7.00 8 11 Not relevant   7.00 4 28 24
6.00 10 10 ______   6.00 6 24 18
5.00 12 9 ______   5.00 8 20 12
4.00 14 8 ______   4.00 10 16 6
3.00 16 7 ______   3.00 12 12 0
2.00 18 6 ______   2.00 14 8 Not relevant
     

U.S. market Trade market German market