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E LASTICITY IMBA Managerial Economics Jack Wu
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AMERICAN AIRLINES “ Extensive research and many years of experience have taught us that business travel demand is quite inelastic … On the other hand, pleasure travel has substantial elasticity. ” Robert L. Crandall, CEO, 1989
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O WN -P RICE E LASTICITY : E=Q%/P% Definition: percentage change in quantity demanded resulting from 1% increase in price of the item. Alternatively,
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C ALCULATING E LASTICITY 1.1 1.0 1.441.5
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C ALCULATING E LASTICITY Arc Approach: Elasticity={[Q2-Q1]/avgQ}/{[P2-P1]/avgP % change in qty = (1.44-1.5)/1.47 = -4.1% % change in price = (1.10-1)/1.05 = 9.5% Elasticity=-4.1%/9.5% =-0.432
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C ALCULATING E LASTICITY Point approach: Elasticity={[Q2-Q1]/Q1}/{[P2-P1]/P1} % change in qty = (1.44-1.5)/1.5= -4% % change in price = (1.10-1)/1= 10% Elasticity=-4%/10%=-0.4
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O WN -P RICE E LASTICITY |E|=0, perfectly inelastic 0<|E|<1, inelastic |E|=1, unit elastic |E|>1, elastic |E|=infinity, perfectly elastic
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S LOPE /E LASTICITY steeper demand curve demand less elastic slope is not the same as elasticity
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0 Quantity Price DEMAND CURVES perfectly elastic demand perfectly inelastic demand
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L INEAR D EMAND C URVE Vertical intercept: perfectly elastic Upper segment: elastic Middle: Unit elastic Lower segment: inelastic Horizontal intercept: perfectly inelastic
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O WN -P RICE E LASTICITIES
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O WN -P RICE E LASTICITY : D ETERMINANTS availability of direct or indirect substitutes cost / benefit of economizing (searching for better price) buyer ’ s prior commitments separation of buyer and payee
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AA DVANTAGE 1981: American Airlines pioneered frequent flyer program buyer commitment business executives fly at the expense of others
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WHEN TO RAISE PRICE CEO: “ Profits are low. We must raise prices. ” Sales Manager: “ But my sales would fall! ” Real issue: How sensitive are buyers to price changes?
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P RICE I NCREASE : E XPENDITURE if demand elastic, expenditure will fall if demand inelastic, expenditure will rise
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I NCOME E LASTICITY, I=Q%/Y% Definition: percentage change in quantity demanded resulting from 1% increase in income. Alternatively,
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I NCOME E LASTICITY I >0, Normal good I <0, Inferior good Among normal goods: 0<I<1, necessity I>1, luxury
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INCOME ELASTICITY
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C ROSS -P RICE E LASTICITY : C=Q%/P O % Definition: percentage change in quantity demanded for one item resulting from 1% increase in the price of another item. (%change in quantity demanded for one item) / (% change in price of another item)
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C ROSS -P RICE E LASTICITY C>0, Substitutes C<0, complements C=0, independent
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CROSS-PRICE ELASTICITIES
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A DVERTISING E LASTICITY : A =Q%/A% Definition: percentage change in quantity demanded resulting from 1% increase in advertising expenditure.
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ADVERTISING ELASTICITIES
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A DVERTISING direct effect: raises demand indirect effect: makes demand less sensitive to price Own price elasticity for antihypertensive drugs Without advertising: -2.05 With advertising:-1.6
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F ORECASTING D EMAND Q%=E*P%+I*Y%+C*Po%+a*A%
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F ORECASTING D EMAND Effect on cigarette demand of 10% higher income 5% less advertising changeelas.effect income10%0.11% advert. -5%0.04-0.2% net+0.8%
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A DJUSTMENT T IME short run: time horizon within which a buyer cannot adjust at least one item of consumption/usage long run: time horizon long enough to adjust all items of consumption/usage
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A DJUSTMENT T IME For non-durable items, the longer the time that buyers have to adjust, the bigger will be the response to a price change. For durable items, a countervailing effect (that is, the replacement frequency effect) leads demand to be relatively more elastic in the short run.
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0 4.5 5 1.51.61.75 long-run demand short-run demand Quantity (Million units a month) Price ($ per unit) NON-DURABLE: SHORT/LONG-RUN DEMAND
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SHORT/LONG-RUN ELASTICITIES
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S TATISTICAL E STIMATION : D ATA time series – record of changes over time in one market cross section -- record of data at one time over several markets Panel data: cross section over time
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M ULTIPLE R EGRESSION Statistical technique to estimate the separate effect of each independent variable on the dependent variable dependent variable = variable whose changes are to be explained independent variable = factor affecting the dependent variable
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DISCUSSION QUESTION 1 Among commercial users such as apartment buildings, hotels, and offices, the demand for water is estimated to have an own-price elasticity was -0.36, the elasticity with respect to the number of commercial establishments was 0.99, and the elasticity with respect to the average summer temperature was 0.02 (Williams and Suh, 1986).
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DISCUSSION QUESTION 1:CONTINUED Intuitively, would an increase in the number of commercial establishments increase or reduce the demand for water? Is the estimated elasticity consistent with your explanation? Intuitively, would a rise in the average summer temperature increase or reduce the demand for water? Is the estimated elasticity consistent with your explanation? By considering the own-price elasticity of demand, explain how the water company could increase its profit.
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DISCUSSION QUESTION 2 Drugs that are not covered by patent can be freely manufactured by anyone. By contrast, the production and sale of patented drugs is tightly controlled. The advertising elasticity of the demand for antihypertensive drugs was around 0.26 for all drugs, and 0.24 for those covered by patents. For all antihypertensive drugs, the own price elasticity was about -2.0 without advertising, and about -1.6 in the long run with advertising.
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DISCUSSION QUESTION 2:CONTINUED Consider a 5% increase in advertising expenditure. By how much would the demand for a patented drug rise? What about the demand for a drug not covered by patent? Why is the demand for patented drugs less responsive to advertising than the demand for drugs not covered by patent? Suppose that a drug manufacturer were to increase advertising. Explain why it should also raise the price of its drugs.
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DISCUSSION QUESTION 3 An Australian telecommunications carrier wants to estimate the own-price elasticity of the demand for international calls to the United States. It has collected annual records of international calls and prices. In each of the following groups, choose the one factor that you would also consider in the regression equation. Explain your reasoning.
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DISCUSSION QUESTION 3: CONTINUED Consumer characteristics: (i) average per capita income, (ii) average age. Complements: (i) number of telephone lines, (ii) number of mobile telephone subscribers. Prices of related items: (i) price of electricity, (ii) postage rate from Australia to the United States.
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