补偿性需求曲线优质资料课件

Chapter11

Appendix拣豹擂颅玖枪弛瞅尽侵狡丛速呐即拔困属毖奢恨映榷桌馋粱潭亡臀漓掸挟ch11_补偿性需求曲线ch11_补偿性需求曲线1Chapter11

Appendix拣豹擂颅玖枪弛瞅尽侵狡DerivationoftheFormulaforExcessBurdenofaUnitTax

W=1/2T×DQ

Where:W=excessburden(Deadweightloss)T=taxDQ=changeinequilibriumquantityasaresultofthetax姜尧粘旭均监啮仗劝狡湘伪艰抵答某宴倚奎莉持臻渊李批俘腿矩洁瞬备窝ch11_补偿性需求曲线ch11_补偿性需求曲线2DerivationoftheFormulaforSolvingforDQStep1:SomeDefinitionsT=PG

–PNDPG=PG–P*DPN=PN

–P*联谚笔耻翁即小悍揪碑裳氯亢枫坏叙腥巾馆烯又购串峡浪焰岗银扇鹃耗揭ch11_补偿性需求曲线ch11_补偿性需求曲线3SolvingforDQ联谚笔耻翁即小悍揪碑裳氯亢枫坏SolvingforDQ

Step2:ElasticitycomesintoplayED

=(DQ/Q*)/(DPG/P*) =(DQ/Q*)×(P*/DPG) =(DQ/Q*)×[P*/(PG–

P*)]

ES

=(DQ/Q*)/(DPN/P*) =(DQ/Q*)×(P*/DPN) =(DQ/Q*)×[P*/(PN

–

P*)]赏科耸般霹骇徊挤民伙卡瘸牌额孩邢广溶闻升连富诫伤喘磺承抵殉鸦翰裂ch11_补偿性需求曲线ch11_补偿性需求曲线4SolvingforDQStep2:ElasticSolvingforDQ

Step3:SolvingforPG

ED

=(DQ/Q*)×[P*/(PG–

P*)]

(PG

–

P*) =(DQ/Q*)×(P*/ED)

PG =(DQ/Q*)×(P*/ED)+P*撮炎凄锚附抗恿溢武汰腿冷匹险怕毯蒜蹲支由杀逢大诵僵旁陆镶粳把峪岂ch11_补偿性需求曲线ch11_补偿性需求曲线5SolvingforDQStep3:SolvingSolvingforDQ

Step4:SolvingforPN

ES

=(DQ/Q*)×(P*/(PN

–

P*)

(PN

–

P*) =(DQ/Q*)×(P*/ES)PN =(DQ/Q*)×(P*/ES)+P*乾遣坊嗅鸦谜观轻净杆驯夏蕴割裁其壤贰恍涧伙滩械骆趴顿太叭汲恒颤赏ch11_补偿性需求曲线ch11_补偿性需求曲线6SolvingforDQStep4:SolvingSolvingforDQ

Step5:UsingtheT=PG–PNdefinition

T =PG–PN =(DQ/Q*)×(P*/ED)+P*–[(DQ/Q*)×(P*/ES)+P*]=(DQ/Q*)×(P*/ED)–(DQ/Q*)×(P*/ES)=(DQ/Q*)×(P*)×[(1/ED)–(1/ES)] =(DQ/Q*)×(P*)×[(ES

–

ED)/(EDES)]烷蒸霖筐之丁纶柒姿诲根淄奸霜观熬范陇鹤机站手症帚芍套琐宏鲜沁越壤ch11_补偿性需求曲线ch11_补偿性需求曲线7SolvingforDQStep5:UsingtSolvingforDQ

Step6:SolvingT=(DQ/Q*)×(P*)[(ES

–

ED)/(EDES)]forDQ T=(DQ/Q*)×(P*)[(ES

–

ED)/(EDES)]

So

DQ=T(P*/Q*)×[(EDES)/(ES

–

ED)]

PluggingbackintoW=1/2TDQW=1/2T2(P*/Q*)×[(EDES)/(ES

–

ED)]叼卸涤寥妨硝蝗偶悬锣尤然粥侯败避叹阔镐譬到懒疵妹曰吟痒铃秆和悔涝ch11_补偿性需求曲线ch11_补偿性需求曲线8SolvingforDQStep6:SolvinDerivationfortheAd-ValoremTax

Ifthepre-andpost-taxpricesareclosetooneanother,thenW=1/2t2(P*Q*)×[(EDES)/(ES

–

ED)]

IfLRACisperfectlyinelastic,thenW=1/2t2(P*Q*)×(ED)×[(ES)/(ES

–

ED)]

=1/2t2(P*Q*)×(ED)

because[(ES)/(ES

–

ED)]approaches1.话伏兹畅滥刨盎敦肤凿犀嘘逾逾漏幸玉柄费咎歌乃匡贴距慌蒜伪厩辰颇煽ch11_补偿性需求曲线ch11_补偿性需求曲线9DerivationfortheAd-ValoremIndividualLossesinWelfareUnderPerfectCompetitionIfthereisperfectcompetition,thenEDisinfinitefromthefirmowner’sperspective.ThisimpliesthatDWL=1/2t2(P*Q*)ES缩旬障贸鳖诡狱粤底宠纪瓮饲瘸筋差仔凳绿剩桂挨甚决蜕蔷赴糯的卵医掖ch11_补偿性需求曲线ch11_补偿性需求曲线10IndividualLossesinWelfareUCompensatedDemandCurves

Recallthatcompensateddemandcurvesshowtherelationshipbetweenpriceandquantitydemanded,excludingtheincomeeffect.Itonlylooksatthesubstitutionawayfromthetaxedgood.疲摊勾类奶模攘昆佐疥腥巡丑情捆灶幢勇嫡坍嘿叶风脾哎节瘪寞芬猜溶禾ch11_补偿性需求曲线ch11_补偿性需求曲线11CompensatedDemandCurvesRecaFigure11A.1RegularandCompensatedDemandCurvesForaNormalGoodPriceGasolineperYear0CurveRegularDemandQ1

P1

CompensatedDemandCurve绕蛀湿交盒枕陈蔓秧蹭腔禹粱恋炭胳滚洁迈创哨统货翻奥轨烯吕陌拍虱蛆ch11_补偿性需求曲线ch11_补偿性需求曲线12Figure11A.1RegularandCompeCompensatedSupplyCurves

Recallthatcompensatedsupplycurvesshowtherelationshipbetweenpriceandquantitysuppliedexcludingtheincomeeffect.Itonlylooksatthesubstitutionawayfromthetaxedgood.漆允娄匀复拇炮卓甲文图瞎舒囤寐嫩厩市熏弃钓款骄茸腻堡殷坦愚襄咏镇ch11_补偿性需求曲线ch11_补偿性需求曲线13CompensatedSupplyCurves漆允娄匀Figure11A.2UsingACompensatedDemandCurvetoIsolateTheSubstitutionEffectofaTax-InducedPriceIncreaseDC

ST

Price(Dollars)GasolineperYear(Gallons)0Q1

1.00DR

SE1

DQS

PG

PN

Q2

DQAE2

辑票伴涅损颤赔囊尘妨称爱垄督挎埔表颖健锤医代巴徐绳焕斩阴瓷獭瘸迄ch11_补偿性需求曲线ch11_补偿性需求曲线14Figure11A.2UsingACompensatFigure11A.3ACompensate