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1、IndexNumbersChapter17IndexNumbersLearningObjectives1.Knowhowtocomputepricerelativesandunderstandhowtheyrepresentpricechangesovertime.2.Knowhowtocomputeaggregatepriceindexesandunderstandhowthechoiceofabaseperiodaffectstheindex.3.BecomefamiliarwiththeConsumerPriceIndex,thePro
2、ducerPriceIndexandtheDowJonesaverages.4.Learnhowtodeflateatimeseriestomeasurechangesovertimeinconstantdollars.5.Learnhowtocomputeanaggregatequantityindexandhowtointerpretit.17-7IndexNumbersSolutions:1.a.ItemPriceRelativeA103=(7.75/7.50)B238=(1500/630)b.c.d.2.a.Fromthepricer
3、elativeweseethepercentageincreasewas32%.b.Dividethecurrentcostbythepricerelativeandmultiplyby100.1990cost=(100)=$8.143.a.PriceRelativesA=(6.00/5.45)100=110B=(5.95/5.60)100=106C=(6.20/5.50)100=113b.c.9%increaseoverthetwoyearperiod.4.5.Paascheindex17-7IndexNumbers6.ItemPriceR
4、elativeBasePeriodPriceBasePeriodUsageWeightWeightedPriceRelativesA15022.002044066,000B905.005025022,500C12014.004056067,2001250155,7007.a.PriceRelativesA=(3.95/2.50)100=158B=(9.90/8.75)100=113C=(.95/.99)100=96b.ItemPriceRelativesBasePriceQuantityWeightPi0QiWeightedPriceRela
5、tivesA1582.502562.59875B1138.7515131.314837C96.996059.45702253.230414Costofrawmaterialsisup20%forthechemical.8.StockPriceRelativesBasePriceQuantityWeightWeightedPriceRelativesHoliday11015.505007750852500NYElectric10918.502003700403300KYGas9726.75500133751297375PQSoaps10842.
6、25300126751368900375003922075Portfolioup5%9.ItemPriceRelativesBasePriceQuantityWeightWeightedPriceRelativesBeer10815.0035,000525,00056,700,000Wine10760.005,000300,00032,100,000SoftDrink1029.8060,000588,00059,976,0001,413,000148,776,00017-7IndexNumbers10.a.Deflated1980wages:
7、Deflated2000wages:b.Thepercentageincreaseinactualwagesis97.5%.c.Thechangeinreadwagesisadecreaseof5.7%.11.199611.76(100/156.9)=7.49199712.23(100/160.5)=7.62199812.84(100/163.0)=7.88199913.35(100/166.6)=8.01200013.82(100/172.6)=8.01theincreaseinrealwagesandsalariesfrom1998to2
8、000is2%.12.a.19973929(100/160.5)=244819984052(100/163.0)=248619994260(100/166.6)=2
