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Chapter 4
DemandElasticity
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
OverviewThe economic concept of elasticityThe price elasticity of demandThe cross-elasticity of demandIncome elasticityOther elasticity measuresElasticity of supply
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Learning objectivesdefine and measure elasticity
apply concepts of price elasticity, cross-elasticity, and income elasticity
understand determinants of elasticity
show how elasticity affects business revenue
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
The economic concept of elasticity
Elasticity: the percentage change in one variable relative to a percentage change in another.
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandPrice elasticity of demand: the percentage change in quantity demanded caused by a 1 percent change in price
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandArc elasticity: elasticity which is measured over a discrete interval of a curve
Ep = coefficient of arc price elasticity Q1 = original quantity demanded Q2 = new quantity demanded P1 = original price P2 = new price
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandPoint elasticity: elasticity measured at a given point of a demand (or a supply) curve
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandThe point elasticity of a linear demand function can be expressed as:
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demand
Elasticity varies along a linear demand curve
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandSome demand curves have constant elasticity
such a curve has a nonlinear equation: Q = aP-b where b is the elasticity coefficient
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandCategories of elasticity
Relative elasticity of demand: Ep > 1Relative inelasticity of demand: 0 < Ep < 1Unitary elasticity of demand: Ep = 1Perfect elasticity: Ep = Perfect inelasticity: Ep = 0
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandFactors affecting demand elasticityease of substitutionproportion of total expendituresdurability of productpossibility of postponing purchasepossibility of repairused product marketlength of time period
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandDerived demand: the demand for products or factors that are not directly consumed, but go into the production of a another (final) product
The demand for such a product or factor exists because there is demand for the final product
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandThe derived demand curve will be more inelastic:the more essential is the componentthe more inelastic is the demand curve for the final productthe smaller is the fraction of total cost going to this componentthe more inelastic is the supply curve of cooperating factors
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandA long-run demand curve will generally be more elastic than a short-run curve As the time period lengthens consumers find ways to adjust to the price change, via substitution or shifting consumption
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandThe relationship between price and revenue depends on elasticity Why? By itself, a price fall will reduce receipts BUT because the demand curve is downward sloping, the drop in price will also increase quantity demanded
Q: which effect will be stronger?
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandAs price decreasesrevenue rises when demand is elasticrevenue falls when it is inelasticrevenue reaches it peak if elasticity =1 the lower chart shows the effect of elasticity on total revenue
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandMarginal revenue: the change in total revenue resulting from changing quantity by one unit
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demand
marginal revenue curve is twice as steep as the demand curve
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandat the point where marginal revenue crosses the X-axis, the demand curve is unitary elastic and total revenue reaches a maximum
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandExamples: some real world elasticities
coffee: short run -0.2, long run -0.33kitchen and household appliances: -0.63meals at restaurants: -2.27airline travel in U.S.: -1.98beer: -0.84, Wine: -0.55
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Price elasticity of demandExamples: some real world elasticities
white pan bread:-0.69cigarettes: short run -0.4, long run -0.6wine imports: -0.15crude oil: -0.06internet services: -0.6/-0.7
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Cross-elasticity of demandCross-elasticity of demand: the percentage change in quantity consumed of one product as a result of a 1 percent change in the price of a related product
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Cross-elasticity of demandArc cross-elasticity
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Cross-elasticity of demandPoint cross-elasticity
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Cross-elasticity of demandThe sign of cross-elasticity for substitutes is positive
The sign of cross-elasticity for complements is negative
Two products are considered good substitutes or complements when the coefficient is larger than 0.5 (in ab. value)
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Income elasticityIncome elasticity of demand: the percentage change in quantity demanded caused by a 1 percent change in income
Y is shorthand for income
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Income elasticityArc income elasticity
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Income elasticityCategories of income elasticity
superior goods: EY > 1
normal goods: 0 EY 1
inferior goods: EY < 0
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Other demand elasticitiesExamples: elasticity is encountered every time a change in some variable affects demand
advertising expenditureinterest ratespopulation size
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Elasticity of supplyPrice elasticity of supply: the percentage change in quantity supplied as a result of a 1 percent change in price
The coefficient of supply elasticity is a normally a positive number
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Elasticity of supplyArc elasticity of supply
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Elasticity of supplyWhen the supply curve is more elastic, the effect of a change in demand will be greater on quantity than on the price of the product
When the supply curve is less elastic, a change in demand will have a greater effect on price than on quantity
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.
Global applicationExample: price elasticities in Asia
imports almost always price inelasticif exports price inelastic, export earnings will rise as prices riseif exports price elastic, export earnings will rise with world incomes
Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.