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CDAE 272 International Economic Development

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(b) Kevin received a $50 DVD player as a birthday gift, his CS = $50. ... A mathematical analysis: A mathematical analysis of the effects of a sales tax ... – PowerPoint PPT presentation

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Title: CDAE 272 International Economic Development


1
CDAE 272 International Economic Development
  • Spring 2008

2
  • Class 12
  • Feb. 21
  • Last class
  • Economic concepts and methods
  • Quiz 3
  • Today
  • Result of Quiz 3
  • 3. Economic concepts and methods
  • 4. International trade theories
  • Next class
  • Quiz 4 (Sections 3.5 and 3.6)
  • 4. International trade theories
  • Readings
  • Important date Problem set 2 due Tuesday, Feb.
    26

3
Result of Quiz 3
  • N 40 Range 4.5 10 Average
    8.4
  • 1. Major difference between a normal good and an
    inferior good
  • Normal good prices increases when income
    increases.
  • Normal good toilet paper, you buy it
    regardless of the price.
  • Normal good demand increases when price
    increases.
  • Normal good demand increases when price
    decreases.
  • Normal goods are purchased by people with high
    income and inferior goods are
  • Normal good good with high demand elasticity.
  • Normal good seafood, inferior good tuna
    fish.
  • Normal goods are preferred to inferior goods.
  • 2. Which of following examples is a good
    explanation of consumer surplus?
  • (a) Kevin bought a 50 DVD player when it was
    20 off, his CS 10.
  • (b) Kevin received a 50 DVD player as a
    birthday gift, his CS 50.
  • (c) Kevin was expecting to pay 50 for a DVD
    player but the price was only
  • 45 when he bought it, his CS 5.
  • (d) Kevin saved 50 to buy a DVD player but the
    price went up to 60 when he went to the store,
    his CS -10.

4
Result of Quiz 3
  • 3. Supply and demand in a market
  • (a) Draw a graph to show the supply and demand
    functions
  • (b) Derive P and Q
  • (c) Calculate the CS and PS
  • (d) Shift in the demand curve due to a change in
    the price of another good.
  • 4. Calculate the change in CS due to a change in
    the price.

5
3. Economic concepts and methods
  • 3.1. An overview of an economic system -- How
    does it work?
  • 3.2. Demand and supply
  • 3.3. Market equilibrium and price determination
  • 3.4. Excess supply and excess demand
  • 3.5. Consumer and producer surplus
  • 3.6. Impacts of market interventions
  • 3.7. International trade price determination

6
  • 3.6. Market interventions
  • 3.6.4. Impacts of a sales tax (e.g.,
    1.5 per unit)
  • -- Notations
  • -- Total price paid by consumers Pcon
  • -- Net price received by producers
    Pprod
  • -- Sales tax t Pcon - Pprod
  • -- Total tax revenue T t Q
    -- A graphical analysis
  • -- Consumers worse off (a decrease in
    CS)
  • -- Producers worse off (a decrease in
    PS)
  • -- Government better off
  • -- How about the total welfare
    (CSPST)? -- A mathematical analysis

7
  • A mathematical analysis of the effects of a sales
    tax
  • Demand Qd 13 - 1.0 P gt Qd 13 - 1.0
    Pcon
  • Supply Qs -2 0.5 P gt Qs -2
    0.5 Pprod
  • (1) When there is no sales tax, Pcon
    Pprod P
  • Qd Qs gt 13 - 1.0 P -2 0.5 P gt P
    10 gt Q 3
  • CS PS CS PS
  • (2) When there is a sales tax of t per
    unit (e.g., t 1.5)
  • t Pcom - Pprod 1.5 or Pcom Pprod
    1.5
  • Qd Qs gt 13 - 1.0 Pcon -2 0.5
    Pprod gt
  • 13 - 1.0 (Pprod 1.5) -2 0.5
    Pprod
  • gt Pprod 9 gt Q 2.5 Pcon
    10.5
  • New CS New PS T
  • Changes in CS, PS, T and CS PS Tax
    revenue

8
  • Take-home exercise
  • (Tuesday, Feb. 19)
  • Suppose a market has the following supply and
    demand functions
  • Demand Qd 15 - 1.5 P
  • Supply Qs -1 0.5 P
  • (a) What are the equilibrium quantity (Q)
    price (P)?
  • (b) What are the CS and PS at the
    equilibrium?
  • (c) If a tax of 0.8 per unit is imposed,
    what will be the
  • changes in CS, PS and total welfare
    (CSPST)?

9
  • 3.6. Market interventions
  • 3.6.5. Impacts of a price subsidy
    (e.g., 1.5 per unit)
  • -- Notations
  • -- Total price paid by consumers Pcon
  • -- Net price received by producers
    Pprod
  • -- Price subsidy s Pprod - Pcon
  • -- Total subsidy cost s Q
    -- A graphical analysis
  • -- Consumers better off (an increase in
    CS)
  • -- Producers better off (an increase in
    PS)
  • -- Government worse off
  • -- How about the total welfare
    (CSPSSub. cost)? -- A mathematical analysis

10
  • A mathematical analysis of the effects of a price
    subsidy
  • Demand Qd 13 - 1.0 P gt Qd 13 - 1.0
    Pcon
  • Supply Qs -2 0.5 P gt Qs -2
    0.5 Pprod
  • (1) When there is no subsidy, Pcon Pprod
    P
  • Qd Qs gt 13 - 1.0 P -2 0.5 P gt P
    10 gt Q 3
  • CS PS CS PS
  • (2) When there is a price subsidy of t
    per unit
  • s Pprod - Pcon 1.5 or Pcom Pprod
    - 1.5
  • Qd Qs gt 13 - 1.0 Pcon -2 0.5
    Pprod gt
  • 13 - 1.0 (Pprod - 1.5) -2 0.5
    Pprod
  • gt Pprod 11 gt Q 3.5 Pcon
    9.5
  • New CS New PS Sub.
    cost
  • Changes in CS, PS, T and (CS PS
    sub. Cost)

11
  • Take-home exercise
  • (Thursday, Feb. 21)
  • Suppose a market has the following supply and
    demand functions
  • Demand Qd 17 - 1.5 P
  • Supply Qs -1 0.5 P
  • (a) What are the equilibrium quantity (Q)
    price (P)?
  • (b) What are the CS and PS at the
    equilibrium?
  • (c) If a price subsidy of 0.8 per unit is
    imposed, what will be the changes in CS, PS
    and total welfare (CS PS sub. cost)?

12
Impacts of government interventions
  • Total
  • Qs Qd Q P CS PS welfare
  • No intervention Q Q Q P CS PS CSPS
  • Floor (min.) price (PF)
  • If PF lt P No impact
  • If PF gt P ? ? ? ? ? ? ?
  • Ceiling (max.) price (Pc)
  • If PC gt P No impact
  • If PC lt P ? ? ? ? ? ? ?
  • Sales tax (t/unit) ? ? ? ? ? ? ?
  • Price subsidy (s/unit) ? ? ? ? ? ? ?

13
4. International trade theories
  • 4.1. Simple examples two-person cases
  • 4.2. Absolute and comparative advantages
  • 4.3. Trade between two countries
  • 4.4. The sources of comparative advantage
  • 4.5. Other explanations for international trade
  • 4.6. Trade between two nations
  • 4.7. Measurement of the gains from trade
  • 4.8. Exchange rate and its determination

14
  • 4.1. Simple examples -- two-person cases
  • Example 1
  • Suppose Kevin and Mark have just completed the
    data collection and analysis for a group
    project and are ready to write the project
    report that will include 18 pages of text and 10
    graphs. Here are the estimated rates for both
    Kevin and Mark
  • Kevin Mark
  • Text 2 pages/hr. 3 pages/hr.
  • Graphs 2 graphs/hr. 1 graph/hr.
  • 50/50 share with no specialization
  • Kevin 9 pages of text and 5 graphs gt 7 hrs
  • Mark 9 pages of text and 5 graphs gt 8 hrs

15
  • 4.1. Simple examples -- two-person cases
  • With specialization
  • For example
  • Kevin 8 graphs 2 pages of text gt 5 hrs
  • Mark 2 graphs 16 pages of text gt 7.3 hrs
  • OR
  • Kevin 10 graphs and no text gt 5 hrs
  • Mark 18 page of text and no graph gt 6 hrs
  • In this case, Kevin is more productive in
    graphs and Mark is more productive in text.
    When each person is more productive in one
    production, trade and specialization can
    benefit both of them.

16
  • 4.1. Simple examples -- two-person cases
  • Example 2
  • Suppose Ashley and Helen are another
    group for the same project (18 pages of text and
    10 graphs) with the following estimated rates
  • Ashley Helen
  • Text 2 pages/hr. 3 pages/hr.
  • Graphs 1 graph/hr. 2 graphs/hr.
  • 50/50 share with no specialization
  • Ashley 9 pages of text 5 graphs gt 9.5 hrs
  • Helen 9 pages of text 5 graphs gt 5.5 hrs
  • Helen is more productive in both text graphs
    but Ashley is
  • less productive in both text
    graphs. Can specialization
  • benefit both of them?

17
  • 4.1. Simple examples -- two-person cases
  • With specialization
  • Ashley 14 pages of text 2 graphs gt 9 hrs
  • Helen 4 pages of text 8 graphs gt 5.33 hrs
  • OR
  • Ashley 18 pages of text no graph gt 9 hrs
  • Helen 10 graphs and no text gt 5 hrs
  • Ashley is less productive in both text and
    graphs but is RELATIVELY more productive in
    preparing text (Helen is more productive in
    text graphs and RELATIVELY more productive in
    graphs).

18
  • 4.1. Simple examples -- two-person cases
  • What can we conclude from the first two
    examples
  • (1) When each person is more productive in one
    activity, specialization and trade can
    benefit both of them
  • (2) When each person is RELATIVELY more
    productive in one activity, specialization and
  • trade can benefit both of them.
  • What can we conclude from the third
    example
  • (David and John) on the next
    page?

19
  • 4.1. Simple examples -- two-person cases
  • Example 3
  • David John
  • Text 6 pages/hr. 3 pages/hr.
  • Graphs 4 graphs/hr. 2 graphs/hr.
  • 50/50 share with no specialization
  • David 9 pages of text 5 graphs gt 2.75 hrs
  • John 9 pages of text 5 graphs gt 5.5 hrs
  • David is more productive in ________________
  • John is relatively more productive in
    ___________
  • Can specialization benefit both David
    and John? Why?
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