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Chapter 4.

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1 Chapter 4

2 INDIVIDUAL AND MARKET DEMAND
Chapter 4 McGraw-Hill/Irwin Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.

3 Chapter Outline The Effects of Changes in the Price
The Effects of Changes in Income The Income and Substitution Effects of a Price Change Consumer Responsiveness to Changes in Price Market Demand: Aggregating Individual Demand Curves Price Elasticity of Demand The Dependence of Market Demand on Income Application: Forecasting Economic Trends Cross-Price Elasticities of Demand

4 The Effect of Changes in Price
Price-consumption curve (PCC): for a good X is the set of optimal bundles traced on an indifference map as the price of X varies (holding income and the price of Y constant).

5 Figure 4.1: The Price-Consumption Curve
Y (R/wk) 1 200 1 000 800 600 400 360 300 200 (sq m/wk)

6 Figure 4.2: An Individual Consumer’s Demand Curve
Price (R/sq m) 240 200 150 120 100 60 50 40 Shelter (sq m/wk)

7 The Effects of Changes in Income
Income-consumption curve (ICC): for a good X is the set of optimal bundles traced on an indifference map as income varies (holding the prices of X and Y constant). Engel curve: curve that plots the relationship between the optimal quantity of X consumed and income.

8 The Effects of Changes in Income
Normal good: one whose quantity demanded rises as income rises. Inferior good: one whose quantity demanded falls as income rises.

9 Figure 4.3: An Income-Consumption Curve
The composite good (R/wk) 1 200 1 000 800 600 500 400 300 200 Shelter (sq m/wk)

10 Figure 4.4: An Individual Consumer’s Engel Curve
Income (R/wk) 1 200 1 000 800 600 400 200 Shelter(sq m/wk)

11 Figure 4.5: The Engel Curve for Normal and Inferior Goods
M (R/wk) M (R/wk) Maize porridge (kg/wk)

12 Income and Substitution Effects
Substitution effect: that component of the total effect of a price change that results from the associated change in the relative attractiveness of other goods. Income effect: that component of the total effect of a price change that results from the associated change in real purchasing power. Total effect: the sum of the substitution and income effects.

13 Figure 4.6: The Total Effect of a Price Increase
Y (R/wk) 1 200 700 600 Shelter (sq m/wk)

14 Figure 4.7: The Substitution and Income Effects of a Price Change for a Normal Good
Y (R/wk) 2400 1200 960 720 600 Shelter (sq m/wk)

15 Figure 4.8: Income and Substitution Effects for an Inferior Good
Y (R/wk) 340 240 180 160 60 Maize porridge (kg/wk)

16 Giffen Goods Giffen good: one for which the quantity demanded rises as its price rises. The Giffen good is also an inferior good

17 Figure 4.9: The Demand Curve for a Giffen Good
Price of potatoes (R/kg) Potatoes (R/wk)

18 Figure 4.10: Income and Substitution Effects for Perfect Complements

19 Figure 4.11: Income and Substitution Effects for Perfect Substitutes

20 Figure 4.12: Income and Substitution Effects of a Price Increase for Salt
Y (R/mo) Y (R/mo) 0.5 0.5002 Salt (kg/mo) 0.5001 Salt (kg/mo)

21 Figure 4.13: Income and Substitution Effects for a Price-Sensitive Good
Y (R/wk) Y (R/wk) 72 000 60 000 Shelter (sq m/wk)

22 Figure 4.14: A Price Increase for Car Washes
Petrol (R/mo) P = 40W 384 320 240 160 4 6 8 12

23 Figure 4.15: James’ Demand for Car Washes
Price (R/wash) 560 240 80

24 Market Demand Curves Market demand curve: the horizontal summation of the individual demand curves. Price elasticity of demand: the persentage change in the quantity of a good demanded that result from a 1 present change in its price.

25 Figure 4.16: Generating Market Demand from Individual Demands
Price (R/sq m) Price (R/sq m) Price (R/sq m) 1 600 1 600 1 600 1 400 1 400 1 400 1 200 1 200 1 200 1 000 1 000 1 000 800 800 800 600 600 600 400 400 400 200 200 200 Quantity (sq m/wk) Quantity (sq m/wk) Quantity (sq m/wk)

26 Figure 4.17: The Market Demand Curve for Beach Chairs
Price (R/chair) Price (R/chair) Price (R/chair) 300 300 300 Quantity (Chairs/wk) Quantity (Chairs/wk) Quantity (Chairs/wk)

27 Figure 4.18: Market Demand with Identical Consumers
Price (R/unit)

28 Three Categories of Price Elasticity
Inelastic → ε > -1 Unit elastic → ε = 1

29 Figure 4.19: Three Categories of Price Elasticity
Unit elastic Unit elastic Elastic Inelastic Inelastic Elastic -3 -2 -1 1 2 (a) Normal calculated values (b) Absolute values

30 Figure 4.20: The Point-Slope Method
Price (R/sq m) 1 600 1 400 PA = 1 200 €A = (PA /QA )(1/slope) = (1200/200)(-1/2) = -3 1 000 800 600 400 200 Quantity (sq m/wk) 400 600 800 1 000 2 000 200 = QA

31 Figure 4.21: Two Important Polar Cases

32 Figure 4.22: Elasticity is Unit-Free
P (R/l) P (R/100g) 12 0,09375 9 0, 150 150 R/day R/day

33 Elasticity and Total Revenue
A price reduction will increase total revenue if and only if the absolute value of the price elasticity of demand is greater than 1. An increase in price will increase total revenue if and only if the absolute value of the price elasticity is less than 1.

34 Figure 4.23: The Effect on Total Expenditure of a Reduction in Price
Price (R/sq m) 1 600 1 400 1 200 1 000 800 600 400 200 Quantity (sq m/wk) 200 400 600 800 1 000 1 400 1 200 1 600

35 Figure 4.24: Demand and Total Expenditure

36 Figure 4.25: The Demand for Bus Rides
Price (R/ride) 10.00 7.50 5.00 2.50

37 Determinants of Price Elasticity of Demand
Substitution possibilities: the substitution effect of a price change tends to be small for goods with no close substitutes. Budget share: the larger the share of total expenditures accounted for by the product, the more important will be the income effect of a price change. Direction of income effect: a normal good will have a higher price elasticity than an inferior good. Time: demand for a good will be more responsive to price in the long-run than in the short-run.

38 Figure 4.26: Effect of an energy tax with a rebate
Expenditure on other goods (R) After energy tax Plus rebate F A After energy tax H C E U2 U1 Original budget line 900 1 200 D J J Electricity Consumption (units per year) 913.5

39 Quantities (millions of
Figure 4.27: Price Elasticity Is Greater in the Long Run than in the Short Run Price (R/litre) PSR = 10.00 P LR = 8.50 7.50 Quantities (millions of litres/day)

40 Figure 4.28: The Engel Curve for Food of A and B
Income (R/wk) 1 800 1 200 600 Food (kg/wk)

41 Figure 4.29: Market Demand Sometimes Depends on the Distribution of Income
Price (R/kg) Price (R/kg) Price (R/kg) A’s food (kg/wk) B’s food (kg/wk) Food (kg/wk)

42 Figure 4.30: An Engel Curve at the Market Level
Average Income (R/wk)

43 Figure 4.31: Engel Curves for Different Types of Goods
Average Income (R/wk) Average Income (R/wk)

44 Figure 4.32: Positive Network Externality: Bandwagon Effect
Demand D20 D60 D40 D100 D80 Q (1000/pm) P (R/unit) 40 60 80 100 20 48 200 Pure price effect Bandwagon effect

45 Figure 4.33: : Negative Network Externality: Snob Effect
Demand D2 D6 D4 D8 Q (1000/pm) P (R/unit) 4 6 8 14 2 Pure price effect Snob effect Net effect

46 Figure 4.34: A Constant Elasticity Demand Curve

47 Figure 4.35: The Segment-Ratio Method

48 Figure 4.36: Elasticity at Different Positions Along a Straight-Line Demand Curve

49 Figure 4.37: Intertemporal Consumption Bundles

50 Figure 4.38: The Intertemporal Budget Constraint
60 000 50 000

51 Figure 4.39: Intertemporal Budget Constraint with Income in Both Periods, and Borrowing or Lending at Rate r

52 Figure 4.40: An Intertemporal Indifference Map

53 Figure 4.41: The Optimal Intertemporal Allocation

54 Figure 4.42: Patience and Impatience

55 Figure 4.43: The Effect of a Rise in the Interest Rate


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