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PARTIAL EQUILIBRIUM TRADE MODEL,

1

GAINS FROM TRADE, TRADE

ELASTICITIES & IMPACTS OF COUNTRY

INTERVENTIONS

Lectures 9 & 10 AHEED Course “International

Agricultural Trade and Policy”

Taught by Alex F. McCalla, Professor Emeritus,

UC Davis.

April 2 & 5 , 2010, University of Tirana, Albania

2

Edgeworth Box & Allocation of Resource

s

Increasing

Labor used in food production L

F

O

F

T

C

F

O

C

Labor used in cloth production

Increasing

L

C

C

T

F

3

Relationship between Gen. Equilb. & Partial Equilb.

Model, deriving the supply curve

Slope of PPF is cloth’s opp. cost (mrt)

Cloth, yards

Supply

Cloth , yards

4

Deriving demand curves from indifference curves

 Cloth, yards

 D

Cloth

I

-P c

/P f

5

From General to Partial Equilibrium

S

Cloth, yards

D

Cloth

6

Comparative advantage under increasing opportunity cost

Home

Foreign

S

Home

Cloth, yards

Cloth, yards

Cloth, yards

S

For

Cloth, yards

7

Review of Producer Surplus

S

Producer surplus = quasi rent, or excess of gross receipts over TVC.

R= TR- TVC

Defined as the area above the supply curve

& below the price line

PS

Q

8

Review of Consumer Surplus

Consumer utility is not observable, so economists try to compute a money-based measure of welfare effects.

CS gives the change in what the consumer is willing to pay over that which is actually paid.

P

0

1

P

Demand

Q q

0 q

1

9

Generating Excess Supply & Excess Demand

Functions in World Market

Home International Market Foreign

S

P

T

D

Q

ES

ED

Q

T

Q

D

Q

S

10

Gains from Trade

Elasticity of Import Demand -(Excess

Supply)

11

Elasticity of excess supply (ES) & excess demand (ED) functions are derived from domestic supply Sd and domestic demand Dd functions.

ED = Dh – Sh; and ES = Sf – Df

Thus the slopes of ED & ES are derived from Dh, Sh & Sf ,Df dED = dDh – dSh dES = dSf - dDf dp dp dp dp dp dp

And Therefore so are the elasticities of ED & ES derived from elasticities of the domestic functions. Let E =elasticity

Recall elasticity of Dh = Ehd = dq * p dp q

As shown in McCalla and Josling pp41 & 42

EED = E Dh * Home Con/Imports – E Sh* Home Sup/Imports

E ES = E Sf * For Sup/Exports – E Df * For Con/ Exports.

Elasticity of Import Demand (Excess Supply)

12

Let us give a numerical example;

Suppose a country imports 25 % of its wheat consumption

Let S = share of imports in domestic demand IM/Dh; and 1-s is share of consumption supplied domestically

So Home con/imports = 1/s; Home sup/ imports = 1-s & if EDh = -.2 and E Sh = .2

The elasticity of Excess Demand EED = (1/.25 *-.2) - .2 * .75/.25

Which =(4 X -.2) = -.8 + - .6 (.2 X 3) = -1.4

What is obvious is that even though both domestic supply and demand are highly inelastic, import demand is elastic.

In general can say Import Demand is more elastic; a. the more elastic domestic demand; b. the more elastic domestic supply; c. the smaller the market share of imports.

13

Lecture 10: Modeling Country Interventions

Foreign

Home International Market

S

S

ES

ED

D

Q Q

D

Q

Transmission of Shocks

14

Country B

Experiences a short crop-

Shifts Sb to Sb’ which shifts Ed out to Ed’

Raising world price to P’w and expands trade to 08

Note both countries adjust

15

Imposition of a unit tariff –same impact as introducing a transport cost.

The imposition of a tariff t by country B shifts Ed to E’d;

Price in exporter A falls from Pw to P’w & exports contract;

Price importer B rises to P’b aand imports contract;

B collects tariff revenue of (P’b –P’w) X Q’

16

Impact on excess supply of exporter fixed-price policies.

Suppose Ex A fixes producer prices at P, thus domestic supply becomes S’a and excess supply becomes E’s; if also fixes P to consumers excess supply becomes perfectly inelastic -E”s.

If P is floor price for both producers and consumers excess supply becomes E”s below P and Es above P Lesson – Domestic price intervention reduces the elasticity of Es

17

Impact on excess demand of importer fixed-price policies

Is mirror image from exporter case- if Im B fixes producer price at Pp excess demand rotates to E’d, fixing Pp also to consumers makews excess demand perfectly inelastic

E”d.

The lesson for world markets is the more rigid domestic intervention the inelastic world S

& D functions will be = more price instability in world markets

18 World Market Impacts of Guaranteed Producer Prices.

Put together, guaranteed producer prices in both exporters and importers rotates Es to E’s and Ed to

E’d, world trade contracts from Q to Q’ and world price falls from Pw to P’w.

Note that because intervention decreased the elasticities of both excess functions, the change in price is greater than the change in quantity, i.e. domestic intervention increases price instability in World

Markets

19

Distribution of the effects of supply shocks in both countries

In (a) the short harvest in Im. B reduces supply in Im.B by AB , the adjustment in the world market can be decomposed: -BC is reduced import demand due to price increase and AC is increased export supply in response to the price increase

Optimal Export Tariff

P

World Market

S

• Why is MR below ED?

• How do we measure social return from additional exports?

P*= P(1+ τ )

P

F

P

ED

MR

Q

Optimal Import Tariff

World Market

P

MO

• Why is Marginal Outlay above S?

• What is the true cost of an additional unit of imports?

S

P= P*(1+ τ )

P*

ED

Q

22

Tariff v Quota Equivalence: large country

P

Home S

P

World Market

ES

P

F

ED

D

| |

Q

For quotas, welfare effects depend crucially on how import licenses are distributed. e.g., a) Auction quotas (Australia); b) Assign Import rights to home firms (Japan, Indonesia; Canada) c) Give licenses to foreigners (USA).

Q

23

P

Import Quota & Domestic Monopolist

Domestic Market

Unlike with a tariff, Monopolist is now free to  prices

Imports

S

P q

Quota shifts D left by amount of quota

P

F

MR q

D q

Q

D

24

Tariff v Quota that leads to same level of imports

Domestic Market

P

Quota shifts D left by amount of quota

P q

P

F

+ τ

P

F

0

S

Unlike with a tariff, Monopolist is now free to

 prices

D

|

Q q

MR

|

Q t

Q

F

Imports

D q

Q Quota creates more monopoly power than tariff

25

D

Source: David Skully

26

World bound agricultural tariff averages, by region

140

120

100

80

60

40

Average agricultural bound tariff (63 percent)

20

0

Non-EU W.

Europe

South Asia Sub-Saharan

Africa

Carribbean

Islands

North Africa Middle East Central

America

Source:www.ers.usda.gov/db/Wto/WTOTariff_database/

Eastern

Europe

South

America

Southern

Africa

European

Union-15

NorthAmerica

27

180

160

140

120

100

80

60

40

20

0

World bound agricultural tariff averages, by commodity group

Average bound agricultural tariff (63 percent)

Source:www.ers.usda.gov/db/Wto/WTOTariff_database/

G

S

T

Tariff Escalation & Effective Rate of

Protection

S

Price D

Value added = Final value of good - value of imported inputs. v = p  p, where  is share of imported inputs in final value.

P* b

= $1,600

ERP = (v’ -v)/v

P beef

= $1,000

(foreign supply)

0

P corn

= $500

(foreign supply)

Qcorn,beef

Nominal rate of protection = ST/OS = 60%

Effective rate of protection = ST/GS = 120%

Tariff Escalation

Higher import duties on semi-processed & finished products than on raw materials.

 e.g., Cocoa enters US duty free but there is a relatively high tariff on the processed product chocolate.

Instant coffee v coffee beans is another example.

US

EU

Japan

Canada

Average tariff on processed products as multiple of raw product

1.25

2.75

3.75

3.00

Source: Oxfam

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