TABLEOFCONTENT
I. Chapter19&20II. Chapter21&22III. Chapter23,24&25.IV. Chapter26V. Chapter27,28&29.VI. Chapter27,28&29(cont.)VII. Chapter30VIII. Chapter34IX. PracticeProblems:IntroductionX. PracticeProblem1XI. PracticeProblem2XII. PracticeProblem3XIII. PracticeProblem4XIV. PracticeProblem5
Introduction:
• ThankyouforcomingtoCommerceMentorshipProgram’sReviewSessionforECON102–customizedforProfessorRatnaK.Shrestha’ssession.ThesematerialswerepreparedbyCMP’ssecond-yearAcademicConsultantPhuongVu,basedonProfessorShrestha’scurriculumandRaganMacroeconomicstextbook.
• ThisfinalexamisCUMULATIVE,coverschapters19-30and34.ThetermreviewandpracticequestionsareheretohelpyoutosolidifyyourunderstandingaboutECON102.Formatontheactualexamsmightinclude:True/False,MultipleChoiceandLongAnswersquestions(bothquantitativeandqualitative).
• Besidestoday’ssession,I’llholdofficehoursonTuesday,April25th,from1-3PMatHA194.ComefindmewithanyquestionsyouhaveandI’llbeveryhappytohelpout!
CHAPTER19&20:IntroductiontoMacroeconomicsandtheMeasurementofNationalIncome
1. OutputGap=Y–Y*=ActualOutput–PotentialOutput
2. Thereistwowaystomeasurechangesinpricelevel:
RateofInflation=𝑷𝒓𝒊𝒄𝒆𝒐𝒇𝑪𝑷𝑰𝑩𝒂𝒔𝒌𝒆𝒕𝑪𝒖𝒓𝒓𝒆𝒏𝒕𝒀𝒆𝒂𝒓3𝑷𝒓𝒊𝒄𝒆𝒐𝒇𝑪𝑷𝑰𝑩𝒂𝒔𝒌𝒆𝒕𝑩𝒂𝒔𝒆𝒀𝒆𝒂𝒓
𝑷𝒓𝒊𝒄𝒆𝒐𝒇𝑪𝑷𝑰𝑩𝒂𝒔𝒆𝒀𝒆𝒂𝒓
GDPDeflator=𝑵𝒐𝒎𝒊𝒏𝒂𝒍𝑮𝑫𝑷𝑹𝒆𝒂𝒍𝑮𝑫𝑷
∗ 𝟏𝟎𝟎
3. Unemploymentratemeasuresthenumberofpeople(>=15yearsofage)whoarenotemployedandareactivelysearchingforajob,expressedasapercentageofthelabourforce.
Unemploymentrate=𝑵𝒖𝒎𝒃𝒆𝒓𝒐𝒇𝒑𝒆𝒐𝒑𝒍𝒆𝒘𝒉𝒐𝒂𝒓𝒆𝒖𝒏𝒆𝒎𝒑𝒍𝒐𝒚𝒆𝒅𝑵𝒖𝒎𝒃𝒆𝒓𝒐𝒇𝒑𝒆𝒐𝒑𝒍𝒆𝒊𝒏𝒕𝒉𝒆𝒍𝒂𝒃𝒐𝒖𝒓𝒇𝒐𝒓𝒄𝒆
∗ 𝟏𝟎𝟎
4. (*)Interestrateisthepricepaidperdollarborrowedperperiodoftime,couldbemeasuredbynominaltermorrealterm.
5. Tomeasurethecontributionofafirmtoitstotaloutput,wecanusetheconceptofValueAdded.
ValueAdded=SalesRevenue–CostofintermediateGoods
6. GDPmeasurestotalvalueofgoodsandservicesproducedintheeconomyduringthegivenperiod.
GDP(Expenditure)=C+I+G+(X-M)PleasenotethatonlypurchasesactivitiesareincludedinGDPExpenditure,becauseGDPExpenditureisanestimationofthevalueofgoodsandservicesproducedintheeconomy.Forthatreason,transferpaymentsisnotincludedinGDPExpenditure.GDP(Income)=FactorIncome+Non-factorPayments
=(Wages/Salaries+Interest+BusinessProfits)+(IndirectTaxes–Subsidies+Depreciation)
CHAPTER21&22:Short-runMacroModel
1. ConsumptionFunction:ConsumptionFunctiondeterminestherelationshipbetweenconsumption,investment,governmentexpenditureandnetexports(=X–M)
2. AggregateExpenditureformula:WithoutGovernmentandTrade
z=MPC
Simplemultiplier=CC3D
= CC3EFG
AE=C+I
WithGovernmentandTradez=MPC(1–t)-m
Simplemultiplier=CC3D
=C
C3[EFG∗ C3I 3J}
AE=AutonomousExp.+InducedExp.=[c+I+G+X]+[MPC*(1–t)–m]YNotes:cstandsforautonomousconsumption.mstandsformarginalpropensitytoimport.tstandsfortaxrate.
3. TheEquilibriumNationalIncomeconditionoccurredwhereAE=Y,andisoccurredattheintersectionofAggregateExpenditurecurveandthe45-degreeline.
Chapter23&24:AggregateDemand&Supply
TheAD/ASmodelexplainsthemovementsofpricelevelandrealGDPthroughtherelationshipofADandAS.
AggregateDemand
AggregateSupply
ExpansionaryADShock:
Example:NegativeASshock.
ContradictionaryADShock:
CHAPTER25:GDPAccounting
Given:F=totalavailablestockoffactors.
Fe=employedstockoffactors.
TheGDPAccountingEquationcanbewrittenas:
GDP=F*Fe/F*GDP/Fe
1. Short-runChangeinGDP 2. Long-runChangeinGDP-Factorutilizationrate(Fe/F):Intheshortrun,tocatchtheopportunityofmakingaprofitablesalefromanincreaseindemandofthegoods,firmsincreasetheirFactorUtilizationRatefromhiringmoreworkersandincreasingtheoperationsofphysicalcapitals,etc.
-Supplyoffactors:Inlong-termfuture,theeconomyiscapabletoleveragecapitalandlaboursupply,thereforechangesinthesupplyoffactorsaffectsGDPinthelongrun.-Factorproductivity:Productivitygrowthchangesslowlyovertime,duetobetterproductiontechnologyandhumancapital.
CHAPTER26:Long-runEconomicGrowth
EconomicGrowth:Sustainedandlong-runincreasesinthelevelofrealGDP.
TheoriesofInvestment,SavingsandGrowth.Inlong-runanalysis:RealGDP=Y*(desiredoutput)andinterestratevariestodetermineequilibrium.Inthelongrun,savingequalsinvestment.(S=I).NationalSavings=PrivateSavings+PublicSavings
=Y*–T–C+T–G
=Y*–C–G
Considerthetwoscenarios:-Ifnationalsavingssupplyincreases:
• Savingssupplyshifttotheright.• Interestratedrop,makingit
cheapertoloan.Asaresult,quantityofinvestmentandsavingsincreases.
-Ifinvestmentdemandincreases:• Investmentdemandshiftstothe
right,pushinginterestrateup.Lenderswanttolendmoremoneybecausetheycanmakegreaterreturn,henceatthenewequilibrium,interestrateandquantityofinvestmentandsavingsincreases.
Neoclassicaltheoryofgrowth:
Econom
icGrowth LabourForce
HumanCapital
PhysicalCapitalTechnologyImprovement
Interest
rate(%
)
Qtyof.I&S
NS=Y*-C-G
I
I*=NS*
Neoclassicaltheoryofgrowthisbasedontheideathat4forcesofeconomicgrowthcanbeconnectedbyTheAggregateProductionfunction.
GDP=FT(L,K,H)Where:FT=AggregateProductionFunctionL=LabourK=CapitalH=HumanCapital
Thisfunctionsuggests:1. Diminishingmarginalreturns.Addingoneadditionalworkerwilladdlesstototaloutput.2. ConstantreturnstoscaleIfallinputs(L,KandH)areincreasedbyXtimes,totaloutput(GDP)isalsogoingtobeincreasedbyXtimesduetogreaterscaleofproduction.
Newergrowththeories:1. Newknowledgeisnotsubjecttodiminishingmarginalreturnbecauseofthegrowingpotential
ofknowledgedriventechnologicalchange.2. Embodyingnewtechnologyincrease,ratherthandecreasemarginalreturns,explaining
growthinpercapitaincome.3. Endogenoustechnologychangesrespondtomarketsignals,includingpricesandprofits.These
technologicalchangesrisefromintentionalinvestmentdecision(R&Ddecisions)madetomaximizeprofits.
CHAPTER27,28&29:Money,InterestandEconomicActivity.
Expansionofmoneyfromasinglenewdeposit:Supposethatthebankhasatargetreserveratioofv(%),whichmeansthattheywanttokeepv%fromalldepositsonthebank’sreserveandloantherest:
Dindeposit=∆MNONPQNOQ
Inthecaseofcashdrain,ifpeoplewanttomaintainc(%)ofthecashtheydepositedintotheaccount,andthebankstillhasatargetreserveratioofv(%):
Dindeposit=RNSGTOUVNWXOYI
Z[Q
Functionsof
Money
MediumofExchange
Store ofValue
UnitofAccount
PresentValueandInterestRate:(Pleaserefertothesessionlivestreamfordetailsolution)
CottontheCatisbuyingaGovernmentBond.
• FaceValue=1000• Term=1year• Couponrate=8%• Marketrate=9%
Coupon=1000*8%=$80
PV= C\]\(C[\.\`)
=$930.83Whatifthetermis2years?
PV= ]\(C[\.\`)
+ C\]\(C[\.\`)b
=982.41
Mr.GrumpyisalsobuyingGovernmentBond.• FaceValue=1000• Term=1year• Couponrate=8%• Marketrate=7%
PV= C\]\(C[\.\c)
=1009.35Whatifthetermis2years?
PV= ]\C[\.\c
+ C\]\C[\.\c b=1018.08
-Ifmarketrate>couponratethenbondyieldisincreasedandbondpriceisdecreased.(Sellingatadiscount)-Ifmarketrate<couponratethenbondyieldislowerandbondpriceisincreased.(Sellingatapremium)MoneyMarket:
• Expansionarymonetarypolicies:Reducinginterestrate,whichincreasesconsumption,increasingAEandshiftADrightward.
• Contractionarymonetarypolicies:Increasinginterestrate,andasaresult,consumptiondecreases,AEdecreasesandADisshiftedtotheleft.s
FactorsthatinfluenceMd:
Md=Md(i-;Y+;P+)Examples:-Interestratedecreases,Mdshiftsrightward.-GDPincreases,transactionsincreasesandMdshiftsrightward.-Pricelevelincrease,moneydepreciatesandMdshiftsrightward.Themonetarytransmissionmechanism:TheprocesswherechangeinMdaffectsAD.1.∆Interestrate:Md/Mschanges(shiftrightorleft),henceinterestratewillchange.2.∆DesiredInvestmentandConsumption:Interestchange,leadingtoanincreaseininvestment,andthischangeisdirectlytightuptoachangeinconsumption.3.ChangeinAggregatedemand:ChangeinconsumptionwillleadtoachangeinAE,whichwilldirectlyshiftADcurve.
Ms
Md
InterestRate
InterestRate
QuantityofMoney
MoneyEquilibrium
CHAPTER30:Inflation&Disinflation
Overallinflationeffectsonwages:ChangeinNominalWages=Output-gapeffect+Expectationaleffect
ChangeinRealWages=ChangesinNominalWages–InflationRate
ActualInflation=Output-gapInflation+ExpectedInflation+Supply-shockInflation
-Wheninflationistoohigh,thereisDisinflation.Disinflationistheprocessofreducingsustainedinflation.DisinflationPhase1:Removingmonetaryvalidationbyincreasinginterestratetotightenthemonetarypolicy,hencedecreasinggrowthrateofmoneysupply.ADcurvestopsshifting,whileAScurvecontinuestoshiftupwardduetocontinualexpectationsaboutinflation.DisinflationPhase2:Stagflationhappensduetoexpectationsandincreaseinrate.Outputfalls,inflationcontinues.Actualoutputisnowsmallerthandesiredoutput,leadingtotwopossiblescenarios:ADmovesup,orAStomovedown.-ThecostofDisinflationisthelossofoutputthatwasgeneratedintheprocessandismeasuredbysacrificeratio.
Sacrificeratio= 𝑳𝒐𝒔𝒔𝒊𝒏𝒓𝒆𝒂𝒍𝑮𝑫𝑷 %%𝒑𝒐𝒊𝒏𝒕𝒐𝒇𝒊𝒏𝒇𝒍𝒂𝒕𝒊𝒐𝒏𝒓𝒆𝒅𝒖𝒄𝒆𝒅
CHAPTER34:
ExchangeRatesandBalanceofPaymentsTheBalanceofPayments:
ExchangeRates:
• WhenCanadiandollarsappreciate,exchangeratedecreases.Soittakeslessunitsofdomesticcurrencytopurchaseforeigncurrency.
• WhenCanadiandollarsdepreciate,exchangerateincreases.Soittakesmoreunitsofdomesticcurrencytopurchaseforeigncurrency.
TheForeign-ExchangeMarket
Shiftsintheforeign-exchangemarket:
• WhentheworldpricesofaCanadianexportincreases,itischeapertobuyfromCanada,hencedemandforCanadiandollarwillshifttotheright,andeventually,Canadiandollarsappreciate.
• Whentheforeignpriceofimportsdecreases,itismoreexpensivetobuyfromCanada,hencedemandforCanadiandollarwillshifttotheleft,andeventually,Canadiandollarsdepreciate.
CurrentAccountDeficit:Borrowingmoneyfromtherestiftheworldorsellingcapitalassetstotherestoftheworld.
InChapter34,welearntthefollowingequation:
CA=(S-I)+(T-G)
Meaningthatchangesinprivatesavings,investmentandgovernmentbudgetdeficitcouldcauseAccountDeficit.
However,currentaccountdeficitisnotundesirableatalltimes.
PRACTICEPROBLEMSNotes:
Theproblemsbelowareaimedtopreparestudentsforlonganswers/calculationquestioninECON102exam.Inthesecondhalfoftoday’ssessionwillgooversomesampleMultipleChoicequestionsonagame-basedplatformnamedKahoot!,andgooverthepracticeproblemsafterthat.
Kahootcanbeaccessedthroughhttps://kahoot.it/#/,andtheGamePINwillbeprovidedduringthesession.
1. MeasurementofNationalIncomeandPriceLevel.
Thevastmajority(99.9%)ofCountryofManyPenguin’spopulationarePenguinsStudents,sothecountryconsumes4goods:Candy,CoffeeandBagels.Detailsaboutthegoodisenclosedinthefollowingtable:
2012 2013 2014 Qty Price Qty Price Qty PriceCandy 10 1 12 2 7 2.5Coffee 7 2 19 2 15 2Bagels 19 1 21 2 17 2
Requirements:1.Ifweuse2012asthebaseyear,what’stheCPIin2014?Howaboutweset2013asthebaseyear?ComparethetwoCPIsandinterpretthedifferenceinthetwofigures.
CPI2014(baseyear2012)=f.g∗c[f∗Cg[f∗CcC∗c[f∗Cg[C∗Cc
=1.51
CPI2014(baseyear2013)=f.g∗c[f∗Cg[f∗Ccf∗c[f∗Cg[f∗Cc
=1.045
CPI2014(baseyear2012)isgreaterthanCPI2014(baseyear2013).Thereasonbehindthisdifferenceisbecausebetween2012and2014,priceshavebeenincreasingbysomuchmorecomparingtopricechangesbetween2013and2014.Hence,using2013asabaseyearwillleadtoasmallerfigureforCPI2014comparingtousingbaseyear2012.2.Using2013asthebaseyear,calculatethe2014GDPdeflatorandinterpretthemeaningofthiscalculation.NominalGDP=7*2.5+15*2+17*2=81.5RealGDP=7*2+15*2+17*2=78GDPDeflator=81.5/78*100=104.5GDPDeflator=104.5meansthatthepricelevelhasincreasedby4.5%from2013to2014.3.Continuetouse2013asthebaseyear,calculatetheinflationratefortheyear2014andinterpretthisanswer.Howdoesinflationrate(obtainedfromCPI)differfromGDPDeflator?CPIbasketin2014=7*2.5+15*2+17*2=81.5CPIbasketin2014(2013baseyear)=7*2+15*2+17*2=78Rateofinflation=(81.5–78)/78*100%=4.5%Inthiscase,GDPdeflatorandInflationratemeasurethesamething:theybothmeasurechangesinpricelevel.(Don’tletthequestiontrickyou!)However,ifweextendthistypeofquestionstomorecomplexproblems,wecansaythatCPIcalculationcanincludeanythingboughtbyconsumers(includingforeigngoods),whileGDPDeflatormeasuresthepriceofdomesticgoodsandnothingimports.Also,GDPDeflatortookintoaccountallgoodsandservices,whileCPIcalculationisonlymadeupofconsumer’spurchases.
2. Expansionofmoneyfromdeposit.Recently,theBOP(BankofPenguins)havereleasedtheseinformation:
ASSETS LIABILITIESLoans $220000 Deposits $270000Reserve $50000
Requirements:1. IftheBankofPenguinshaslentoutallthemoneythatitcan,whatisitsreserve
ratio?ReserveRatio=TotalReserve/TotalDeposits
=50000/270000=0.1852or18.52%
2. Iftheminimumreserveratiois4%,howmuchinexcessreservedoestheBankofPenguinsnowhold?Ifthebankdoesthenotholdanyexcessreserve,howwillitsassetsandliabilitieschanges?Ifthebankholdminimumreserve,hence:Reserves=TotalDeposit*MinimumReserveRatio
=270000*4%=$10800
Amountofexcessreserveis=50000–10800=$39200Ifthebankdoesnotholdexcessreserve,thenitsnewassetsandliabilitieswillbe:Deposit:$270000(achangeinthedecisionofholdingexcessreservehasnothingtodowithchangingamountofdeposit).Reserve:$10800(minimumreserveat4%requiredreserveratio).Loans:$280000–10800=$269200
3. Outofthe$270000deposited,nowpeoplewanttoholdontoanother$15000incash,andholdanother$20000inexcessreserve.Theminimumreserveratiois4%.Whatisthechangeindepositinthissituation?Keepinmindthatpeoplenowwouldliketokeep15000incash.Theamountkeptforreserve=270000*0.04+20000=30800Therefore,thenewchangesindepositwouldbe:Deposit:$270000Amountretainedtocashforcustomers:$15000Reserve:$30800Loans:270000–15000–30800=$224200
3. Bonds&PresentValue.(ForinformationaboutPV“timeline”,pleaserefertothelivestreamoftoday’ssession).LindaisconsideringbuyingabondissuedbyGovernmentofCanada.Theinformationincludes:(1) Facevalue=$3500(2) Couponrate=7%,couponpaidannually(3) Marketrate=10%(4) Term=2years
Requirements:
1. Calculatethecurrentpriceofthebond.ComparethePresentValueofthebondtoitsfacevalue.UsingwhatyoulearntfromECON102,explainwhyisthatthecase?
Coupon=$3500*7%=245
Inyear1:Received$245incoupon
Inyear2:Received$245incouponand3500inFaceValue
PV= fhg(C[\.C)
+fhg[ig\\(C[\.C)b
=$3317.77
2. Calculatetheyieldonthisbond.Whydobondyieldandmarketinterestnormallygoonthesamedirection?
Thetotalamountthatbondissuerpaidatmaturityis3500+245*2=3990
Let’scalltheyieldonthisbondr.Wehavethefollowingequation:
3317.77*(1+r)2=3990
(1+r)2=1.2026
r=0.097=9.7%
3. Lindadecidedtogoandpurchasethebondsyesterday.Thismorning,whilereadingthenews,Lindafoundoutthatcurrentmarketratejumpedto6%,andshebecameconfused.HelpLindatocalculatethecurrentpriceofasimilarbond,andexplaintoherwhetherifsheshouldbeupset.
Thecurrentmarketpriceofthissimilarbondis:
PV= fh(C[\.\j)
+fhg[ig\\(C[\.\j)b
=$3564.17
LindashouldNOTbenervous,becausethischangeinmarketratehasincreasedthepriceofthissimilarbondonthemarket.Lindawasabletopurchasethebondatacheaperprice($3317.77comparingto$3564.17),thereforesheshouldbehappy!
4. Moneydemandandsupply:
Thediagrambelowshowsthedemandformoneyandthesupplyofmoney.
1. IsitpossiblefortheeconomytooperateatpointAandB?Explain.No,itisnotpossibleforaneconomytooperateatpointAorB.AtpointA,theinterestwastoohighcomparingtotheMoneyDemand.Suchquantityofmoneyshouldresultinalowerinterestrate.ThesituationatpointBistheopposite:theinterestatpointBistoolow.Atsuchlowamountofquantityofmoneyavailableonthemarket,interestrateshouldbesomuchhigher.
2. Describetheprocesstobringaneconomywithexcessmoneysupplybacktoequilibrium.Whatabouttheprocessforexcessmoneydemand?Forexcessmoneysupply:Becausethereismoremoneysupplycomparingtomoneydemandonthemarket,interestratewillgraduallydecrease.Astheinterestratenowdecrease,ahigherquantityofmoneyisfavoredbecausethelowerinterestratestimulatesconsumption.Theresultisagreaterquantityofmoney,alongwithalowerinterestrateonthemarket.Forexcessmoneydemand:Becausethereismoremoneydemandcomparingtosupplyonthemarket,theinterestratewillbepushedupwards,sincepeoplearecurrentlywillingtopaymoreoninteresttoobtainthemoneytheyneed.Astheinterestisnowshiftupwards,somepeoplewhocannotaffordthehigherinterestpaymentwillbenolongerinterested,whichdecreasesthequantityofmoneyrequiredonthemarket.Atthenewequilibriumisahigherinterestrateandlowerquantityofmoney.
5. InflationandDisinflation.ConsiderthefollowingAD/ASgraph.Recently,acontractionaryASShockoccursinCountryofManyPenguins,shiftingaggregatedemandtoAS1,
a. ExplaintheinitialeffectofthiscontractionaryASshocktotheeconomy.Illustrateyouransweronthediagramabove.ThecontractionaryASShockshiftAScurvetotheleft,reducingtheamountofRealOutputproduced.Arecessionarygapiscreated,sinceoutputisnolongeratitsdesiredstate.Andfinally,pricelevelincreases,purchasingpowerdecreases,anddollardepreciates.
b. WhatkindofactionscantheBankofPenguinstaketomaintaintheeconomy’sDesiredOutput?Explaininwordsandillustrateitonthediagramabove.
BankofPenguinscanfirstofall,tightenupthemoneysupplyonthemarket,tomakesurethattheADcouldnotshift.Duetoexpectationsaboutinflationandoutputgap,thewagesriseandASshiftleftwards.Asoutputcontinuestofall,therecessionarygapgrows.Inflationkeepsgrowing,however,atasmallerrate.However,therecessiongapcausesthewagesratetofallslowly,thenRealGDPisachieved,therecessionarygapisclearedandinflationalsodecrease.
c. 1yearafterthecontractionaryASshock,PresidentofBankofPenguinsannouncedaplantoendthesustaininflation.Whatisthemeasureofthecostofthisprocessandhowisitcalculated,giventhatthePresidentofBoPwantstoreduceinflationby12%withanOutputLossof$120m,withapotentialoutputof720m?Thecostofdisflationismeasuredbysacrificedratio.%lossinrealGDP=$120m/$720m=16.67%SacrificeRatio=%lossinGDP/%reductionintherateofinflation
=16.67%/12%=1.39