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CHAPTER12:BEHAVIORALFINANCE
ANDTECHNICALANALYSIS
PROBLEMSETS
1. Technicalanalysiscangenerallybeviewedasasearchfortrendsorpatternsinmarketprices.Technicalanalyststendtoviewthesetrendsasmomentum,orgradualadjustmentsto‘correct’prices,or,alternatively,reversalsoftrends.Anumberofthebehavioralbiasesdiscussedinthechaptermightcontributetosuchtrendsandpatterns.Forexample,aconservatismbiasmightcontributetoatrendinpricesasinvestorsgraduallytakenewinformationintoaccount,resultingingradualadjustmentofpricestowardstheirfundamentalvalues.Anotherexamplederivesfromtheconceptofrepresentativeness,whichleadsinvestorstoinappropriatelyconclude,onthebasisofasmallsampleofdata,thatapatternhasbeenestablishedthatwillcontinuewellintothefuture.Wheninvestorssubsequentlybecomeawareofthefactthatpriceshaveoverreacted,correctionsreversetheinitialerroneoustrend.
2. Evenifmanyinvestorsexhibitbehavioralbiases,securitypricesmightstillbesetefficientlyiftheactionsofarbitrageursmovepricestotheirintrinsicvalues.Arbitrageurswhoobservemispricinginthesecuritiesmarketswouldbuyunderpricedsecurities(orpossiblysellshortoverpricedsecurities)inordertoprofitfromtheanticipatedsubsequentchangesaspricesmovetotheirintrinsicvalues.Consequently,securitiespriceswouldstillexhibitthecharacteristicsofanefficientmarket.
3. Oneofthemajorfactorslimitingtheabilityofrationalinvestorstotakeadvantageofany‘pricingerrors’thatresultfromtheactionsofbehavioralinvestorsisthefactthatamispricingcangetworseovertime.AnexampleofthisfundamentalriskistheapparentongoingoverpricingoftheNASDAQindexinthelate1990s.Relatedfactorsaretheinherentcostsandlimitsrelatedtoshortselling,whichrestricttheextenttowhicharbitragecanforceoverpricedsecurities(orindexes)tomovetowardstheirfairvalues.Rationalinvestorsmustalsobeawareoftheriskthatanapparentmispricingis,infact,aconsequenceofmodelrisk;thatis,theperceivedmispricingmaynotberealbecausetheinvestorhasusedafaultymodeltovaluethesecurity.
4. Therearetworeasonswhybehavioralbiasesmightnotaffectequilibriumassetprices:first,behavioralbiasesmightcontributetothesuccessoftechnicaltradingrulesaspricesgraduallyadjusttowardstheirintrinsicvalues,andsecond,theactionsofarbitrageursmightmovesecuritypricestowardstheirintrinsicvalues.Itmightbeimportantforinvestorstobeawareofthesebiasesbecauseeitherofthesescenariosmightcreatethepotentialforexcessprofitsevenifbehavioralbiasesdonotaffectequilibriumprices.
Inaddition,aninvestorshouldbeawareofhispersonalbehavioralbiases,evenifthosebiasesdonotaffectequilibriumprices,tohelpavoidsomeoftheseinformationprocessingerrors(e.g.overconfidenceorrepresentativeness).
5. Efficientmarketadvocatesbelievethatpubliclyavailableinformation(and,foradvocatesofstrong-formefficiency,eveninsiderinformation)is,atanypointintime,reflectedinsecuritiesprices,andthatpriceadjustmentstonewinformationoccurveryquickly.Consequently,pricesareatfairlevelssothatactivemanagementisveryunlikelytoimproveperformanceabovethatofabroadlydiversifiedindexportfolio.Incontrast,advocatesofbehavioralfinanceidentifyanumberofinvestorerrorsininformationprocessinganddecisionmakingthatcouldresultinmispricingofsecurities.However,thebehavioralfinanceliteraturegenerallydoesnotprovideguidanceastohowtheseinvestorerrorscanbeexploitedtogenerateexcessprofits.Therefore,intheabsenceofanyprofitablealternatives,evenifsecuritiesmarketsarenotefficient,theoptimalstrategymightstillbeapassiveindexingstrategy.
6. a.Davisuseslossaversionasthebasisforherdecisionmaking.Sheholdsontostocksthataredownfromthepurchasepriceinthehopesthattheywillrecover.Sheisreluctanttoacceptaloss.
7. a.Shrumrefusestofollowastockaftershesellsitbecauseshedoesnotwanttoexperiencetheregretofseeingitrise.Thebehavioralcharacteristicusedforthebasisforherdecisionmakingisthefearofregret.
8. a.Investorsattempttoavoidregretbyholdingontolosershopingthestockswillrebound.Ifthestockreboundstoitsoriginalpurchaseprice,thestockcanbesoldwithnoregret.Investorsalsomaytrytoavoidregretbydistancingthemselvesfromtheirdecisionsbyhiringafull-servicebroker.
9. a.iv
b.iii
c.v
d.i
e.ii
10. Underlyingrisksstillexistevenduringamispricingevent.Themarketmispricingcouldgetworsebeforeitgetsbetter.Otheradverseeffectscouldoccurbeforethepricecorrectsitself(e.g.,lossofclientswithnounderstandingorappetiteformispricingopportunities).
11. Dataminingistheprocessbywhichpatternsarepulledfromdata.Technicalanalystsmustbecarefulnottoengageindataminingasgreatisthehumancapacitytodiscernpatternswherenopatternsexist.Technicalanalystsmustavoidminingdatatosupportatheoryratherthanusingdatatotestatheory.
12. Evenifpricesfollowarandomwalk,theexistenceofirrationalinvestorscombinedwiththelimitstoarbitragebyarbitrageursmayallowpersistentmispricingstobepresent.Thisimpliesthatcapitalwillnotbeallocatedefficiently—capitaldoesnotimmediatelyflowfromrelativelyunproductivefirmstorelativelyproductivefirms.
13. Trin==
$1,058,313/1,553$852,581/1,455=1.16
Thistrinratio,whichisabove1.0,wouldbetakenasabearishsignal.
14. Breadth:
Advances
Declines
NetAdvances
1,455
1,553
-98
Breadthisnegative—bearishsignal(noonewouldactuallyuseaone-daymeasure).
15. Thisexerciseislefttothestudent;answerswillvary,butsuccessfulstudentsshouldbeabletoidentifytimeperiodswhenupwardordownwardtrendsareobvious.Thisexercisealsoshowsthebenefitofhindsight,whichinvestorsdonotpossesswhenmakingcurrentdecisions.
16. Theconfidenceindexincreasesfrom(5%/6%)=0.833to(6%/7%)=0.857.
Thisindicatesslightlyhigherconfidencewhichwouldbeinterpretedbytechniciansasabullishsignal.Buttherealreasonfortheincreaseintheindexistheexpectationofhigherinflation,nothigherconfidenceabouttheeconomy.
17. Atthebeginningoftheperiod,thepriceofComputers,Inc.dividedbytheindustryindexwas0.39;bytheendoftheperiod,theratiohadincreasedto0.50.Astheratioincreasedovertheperiod,itappearsthatComputers,Inc.outperformedotherfirmsinitsindustry.Theoveralltrend,therefore,indicatesrelativestrength,althoughsomefluctuationexistedduringtheperiod,withtheratiofallingtoalowpointof0.33onday19.
18. Fivedaymovingaverages:
Days1–5:(19.63+20+20.5+22+21.13)/5=20.65
Days2–6=21.13
Days3–7=21.50
Days4–8=21.90
Days5–9=22.13
Days6–10=22.68
Days7–11=23.18
Days8–12=23.45 Sellsignal(day12price<movingaverage)
Days9–13=23.38
Days10–14=23.15
Days11–15=22.50
Days12–16=21.65
Days13–17=20.95
Days14–18=20.28
Days15–19=19.38
Days16–20=19.05
Days17–21=18.93 Buysignal(day21price>movingaverage)
Days18–22=19.28
Days19–23=19.93
Days20–24=21.05
Days21–25=22.05
Days22–26=23.18
Days23–27=24.13
Days24–28=25.13
Days25–29=26.00
Days26–30=26.80
Days27–31=27.45
Days28–32=27.80
Days29–33=27.90 Sellsignal(day33price<movingaverage)
Days30–34=28.20
Days31–35=28.45
Days32–36=28.65
Days33–37=29.05
Days34–38=29.25
Days35–39=29.00
Days36–40=28.75
19. Thispatternshowsalackofbreadth.Eventhoughtheindexisup,morestocksdeclinedthanadvanced,whichindicatesa“lackofbroad-basedsupport”fortheriseintheindex.
20.
Day
Advances
Declines
NetAdvances
CumulativeBreadth
1
906
704
202
202
2
653
986
-333
-131
3
721
789
-68
-199
4
503
968
-465
-664
5
497
1,095
-598
-1,262
6
970
702
268
-994
7
1,002
609
393
-601
8
903
722
181
-420
9
850
748
102
-318
10
766
766
0
-318
Thesignalisbearishascumulativebreadthisnegative;however,thenegativenumberisdeclininginmagnitude,indicativeofimprovement.Perhapstheworstofthebearmarkethaspassed.
21. Trin=
Thisisaslightlybullishindicator,withaveragevolumeinadvancingissuesabitgreaterthanaveragevolumeindecliningissues.
22. ConfidenceIndex=
Thisyear:Confidenceindex=(8%/10.5%)=0.762
Lastyear:Confidenceindex=(8.5%/10%)=0.850
Thus,theconfidenceindexisdecreasing.
23. Note:Inordertocreatethe26-weekmovingaveragefortheS&P500,weconvertedtheweeklyreturnstoweeklyindexvalues,withabaseof100fortheweekpriortothefirstweekofthedataset.ThefollowinggraphshowstheS&P500valuesandthe26-weekmovingaverage,beginningwiththe26thweekofthedataset.
a. Thegraphsummarizesthedataforthe26-weekmovingaverage.ThegraphalsoshowsthevaluesoftheS&P500index.
b. TheS&P500crossesthroughitsmovingaveragefrombelow14times,asindicatedinthetablebelow.Theindexincreasesseventimesinweeksfollowingacross-throughanddecreasesseventimes.
Dateof
Cross-Through
DirectionofS&P500inSubsequentWeek
05/18/01
Decrease
06/08/01
Decrease
12/07/01
Decrease
12/21/01
Increase
03/01/02
Increase
11/22/02
Increase
01/03/03
Increase
03/21/03
Decrease
04/17/03
Increase
06/10/04
Decrease
09/03/04
Increase
10/01/04
Decrease
10/29/04
Increase
04/08/05
Decrease
c. TheS&P500crossesthroughitsmovingaveragefromabove14times,asindicatedinthetablebelow.Theindexincreasesninetimesinweeksfollowingacross-throughanddecreasesfivetimes.
Dateof
Cross-Through
DirectionofS&P500inSubsequentWeek
Dateof
Cross-
Through
DirectionofS&P500inSubsequentWeek
06/01/01
Increase
03/28/03
Increase
06/15/01
Increase
04/30/04
Decrease
12/14/01
Increase
07/02/04
Decrease
02/08/02
Increase
09/24/04
Increase
04/05/02
Decrease
10/15/04
Decrease
12/13/02
Increase
03/24/05
Increase
01/24/03
Decrease
04/15/05
Increase
d. Whentheindexcrossesthroughitsmovingaveragefrombelow,asinpart(b),thisisregardedasabullishsignal.Inoursample,theindexisaslikelytoincreaseasitistodecreasefollowingsuchasignal.Whentheindexcrossesthroughitsmovingaveragefromabove,asinpart(c),thisisregardedasabearishsignal.Inoursample,contrarytothebearishsignal,theindexisactuallymorelikelytoincreasethanitistodecreasefollowingsuchasignal.
24. Inordertocreatetherelativestrengthmeasure,weconvertedtheweeklyreturnsfortheFidelityBankingFundandfortheS&P500toweeklyindexvalues,usingabaseof100fortheweekpriortothefirstweekofthedataset.Thefirstgraphshowstheresultingvalues,alongwiththerelativestrengthmeasure(×100).Thesecondgraphshowsthepercentagechangeintherelativestrengthmeasureoverfive-weekintervals.
a. Thefollowinggraphsummarizestherelativestrengthdataforthefund.
b. Overfive-weekintervals,relativestrengthincreasedbymorethan5%29times,asindicatedinthetableandgraphbelow.TheFidelityBankingFundunderperformedtheS&P500index18timesandoutperformedtheS&P500index11timesinweeksfollowinganincreaseofmorethan5%.
DateofIncrease
PerformanceofBankingFundinSubsequentWeek
DateofIncrease
PerformanceofBankingFundinSubsequentWeek
07/21/00
Outperformed
03/09/01
Outperformed
08/04/00
Outperformed
03/16/01
Underperformed
08/11/00
Underperformed
03/30/01
Underperformed
08/18/00
Outperformed
06/22/01
Underperformed
09/22/00
Outperformed
08/17/01
Underperformed
09/29/00
Underperformed
03/15/02
Outperformed
10/06/00
Underperformed
03/22/02
Underperformed
12/01/00
Underperformed
03/28/02
Outperformed
12/22/00
Underperformed
04/05/02
Outperformed
12/29/00
Outperformed
04/12/02
Underperformed
01/05/01
Underperformed
04/26/02
Outperformed
01/12/01
Underperformed
05/03/02
Underperformed
02/16/01
Underperformed
05/10/02
Underperformed
02/23/01
Outperformed
06/28/02
Underperformed
03/02/01
Underperformed
c. Overfive-weekintervals,relativestrengthdecreasesbymorethan5%15times,asindicatedinthegraphaboveandtablebelow.TheFidelityBankingFundunderperformedtheS&P500indexsixtimesandoutperformedtheS&P500indexninetimesinweeksfollowingadecreaseofmorethan5%.
DateofDecrease
PerformanceofBankingFundinSubsequentWeek
DateofDecrease
PerformanceofBankingFundinSubsequentWeek
07/07/00
Underperformed
04/16/04
Underperformed
07/14/00
Outperformed
04/23/04
Outperformed
05/04/01
Underperformed
12/03/04
Outperformed
05/11/01
Outperformed
12/10/04
Underperformed
10/12/01
Outperformed
12/17/04
Outperformed
11/02/01
Outperformed
12/23/04
Underperformed
10/04/02
Outperformed
12/31/04
Underperformed
10/11/02
Outperformed
d. Anincreaseinrelativestrength,asinpart(b)above,isregardedasabullishsignal.However,inoursample,theFidelityBankingFundismorelikelytounderperformtheS&P500indexthanitistooutperformtheindexfollowingsuchasignal.Adecreaseinrelativestrength,asinpart(c),isregardedasabearishsignal.Inoursample,contrarytothebearishsignal,theFidelityBankingFundisactuallymorelikelytooutperformtheindexincreasethanitistounderperformfollowingsuchasignal.
25. Ithasbeenshownthatdiscrepanciesofpricefromnetassetvalueinclosed-endfundstendtobehigherinfundsthataremoredifficulttoarbitragesuchasless-diversifiedfunds.
CFAPROBLEMS
1. i. MentalaccountingisbestillustratedbyStatement#3.Sampson’srequirementthathisincomeneedsbemetviainterestincomeandstockdividendsisanexampleofmentalaccounting.Mentalaccountingholdsthatinvestorssegregatefundsintomentalaccounts(e.g.,dividendsandcapitalgains),maintainasetofseparatementalaccounts,anddonotcombineoutcomes;alossinoneaccountistreatedseparatelyfromalossinanotheraccount.Mentalaccountingleadstoaninvestorpreferencefordividendsovercapitalgainsandtoaninabilityorfailuretoconsidertotalreturn.
ii. Overconfidence(illusionofcontrol)isbestillustratedbyStatement#6.Sampson’sdesiretoselectinvestmentsthatareinconsistentwithhisoverallstrategyindicatesoverconfidence.Overconfidentindividualsoftenexhibitrisk-seekingbehavior.Peoplearealsomoreconfidentinthevalidityoftheirconclusionsthanisjustifiedbytheirsuccessrate.Causesofoverconfidenceincludetheillusionofcontrol,self-enhancementtendencies,insensitivitytopredictiveaccuracy,andmisconceptionsofchanceprocesses.
iii. ReferencedependenceisbestillustratedbyStatement#5.Sampson’sdesiretoretainpoor-performinginvestmentsandtotakequickprofitsonsuccessfulinvestmentssuggestsreferencedependence.Referencedependenceholdsthatinvestmentdecisionsarecriticallydependentonthedecision-maker’sreferencepoint.Inthiscase,thereferencepointistheoriginalpurchaseprice.Alternativesareevaluatednotintermsoffinaloutcomesbutratherintermsofgainsandlossesrelativetothisreferencepoint.Thus,preferencesaresusceptibletomanipulationsimplybychangingthereferencepoint.
2. a. Frost'sstatementisanexampleofreferencedependence.Hisinclinationtoselltheinternationalinvestmentsoncepricesreturntotheoriginalcostdependsnotonlyontheterminalwealthvalue,butalsoonwhereheisnow,thatis,hisreferencepoint.Thisreferencepoint,whichisbelowtheoriginalcost,hasbecomeacriticalfactorinFrost’sdecision.
Instandardfinance,alternativesareevaluatedintermsofterminalwealthvaluesorfinaloutcomes,notintermsofgainsandlossesrelativetosomereferencepointsuchasoriginalcost.
b. Frost’sstatementisanexampleofsusceptibilitytocognitiveerror,inatleasttwoways.First,heisdisplayingthebehavioralflawofoverconfidence.Helikelyismoreconfidentaboutthevalidityofhisconclusionthanisjustifiedbyhisrateofsuccess.HeisveryconfidentthatthepastperformanceofCountryXYZindicatesfutureperformance.Behavioralinvestorscould,andoftendo,concludethatafive-yearrecordisampleevidencetosuggestfutureperformance.Second,bychoosingtoinvestinthesecuritiesofonlyCountryXYZ,Frostisalsoexemplifyingthebehavioralfinancephenomenonofassetsegregation.Thatis,heisevaluatingCountryXYZinvestmentintermsofitsanticipatedgainsorlossesviewedinisolation.
Individualsaretypicallymoreconfidentaboutthevalidityoftheirconclusionsthanisjustifiedbytheirsuccessrateorbytheprinciplesofstandardfinance,especiallywithregardtorelevanttimehorizons.Instandardfinance,investorsknowthatfiveyearsofreturnsonCountryXYZsecuritiesrelativetoallothermarketsprovidelittleinformationaboutfutureperformance.Astandardfinanceinvestorwouldnotbefooledbythis“lawofsmallnumbers.”Instandardfinance,investorsevaluateperformanceinportfolioterms,inthiscasedefinedbycombiningtheCountryXYZholdingwithallothersecuritiesheld.InvestmentsinCountryXYZ,likeallotherpotentialinvestments,shouldbeevaluatedintermsoftheanticipatedcontributiontotherisk–rewardprofileoftheentireportfolio.
c. Frost’sstatementisanexampleofmentalaccounting.Mentalaccountingholdsthatinvestorssegregatemoneyintomentalaccounts(e.g.,safeversusspeculative),maintainasetofseparatementalaccounts,anddonotcombineoutcomes;alossinoneaccountistreatedseparatelyfromalossinanotheraccount.Onemanifestationofmentalaccounting,inwhichFrostisengaging,isbuildingaportfolioasapyramidofassets,layerbylayer,withtheretirementaccountrepresentingalayerseparatefromthespeculativefund.Eachlayerisassociatedwithdifferentgoalsandattitudestowardrisk.Heismoreriskaversewithrespecttotheretirementaccountthanheiswithrespecttothespeculativefundaccount.Themoneyintheretirementaccountisadownsideprotectionlayer,designedtoavoidfuturepoverty.Themoneyinthespeculativefundaccountistheupsidepotentiallayer,designedforachanceatbeingrich.
Instandardfinance,decisionsconsidertheriskandreturnprofileoftheentireportfolioratherthananticipatedgainsorlossesonanyparticularaccount,investment,orclassofinvestments.Alternativesshouldbeconsideredintermsoffinaloutcomesinatotalportfoliocontextratherthanintermsofcontributionstoasafeoraspeculativeaccount.Standardfinanceinvestorsseektomaximizethemean-variancestructureoftheportfolioasawholeandconsidercovariancesbetweenassetsastheyconstructtheirportfolios.Standardfinanceinvestorshaveconsistentattitudestowardriskacrosstheirentireportfolio.
3. a. Illusionofknowledge:Maclinbelievesheisanexperton,andcanmakeaccurateforecastsabout,therealestatemarketsolelybecausehehasstudiedhousingmarketdataontheInternet.Hemayhaveaccesstoalargeamountofrealestate-relatedinformation,buthemaynotunderstandhowtoanalyzetheinformationnorhavetheabilitytoapplyittoaproposedinvestment.
Overconfidence:Overconfidencecausesustomisinterprettheaccuracyofourinformationandourskillinanalyzingit.MaclinhasassumedthattheinformationhecollectedontheInternetisaccuratewithoutattemptingtoverifyitorconsultothersources.Healsoassumeshehasskillinevaluatingandanalyzingtherealestate-relatedinformationhehascollected,althoughthereisnoinformationinthequestionthatsuggestshepossessessuchability.
b. Referencepoint:Maclin’sreferencepointforhisbondpositionisthepurchaseprice,asevidencedbythefactthathewillnotsellapositionforlessthanhepaidforit.Thisfixationonareferencepoint,andthesubsequentwaitingforthepriceofthesecuritytomoveabovethatreferencepointbeforesellingthesecurity,preventsMaclinfromundertakingarisk/return-basedanalysisofhisportfolioposition.
c. Familiarity:Maclinisevaluatinghisholdingofcompanystockbasedonhisfamiliaritywiththecompanyratherthanonsoundinvestmentandportfolioprinciples.Companyemployees,becauseofthisfamiliarity,mayhaveadistortedperceptionoftheirowncompany,assuminga“goodcompany”willalsobeagoodinvestment.Irrationalinvestorsbelieveaninvestmentinacompanywithwhichtheyarefamiliarwillproducehigherreturnsandhavelessriskthannonfamiliarinvestments.
Representativeness:Maclinisconfusinghiscompany(whichmaywellbeagoodcompany)withthecompany’sstock(whichmayormaynotbeanappropriateholdingforhisportfolioand/oragoodinvestment)anditsfutureperformance.Thiscanresultinemployees’overweightingtheircompanystock,therebyholdinganunderdiversifiedportfolio.
4. a. Thebehavioralfinanceprincipleofbiasedexpectations/overconfidenceismostconsistentwiththeinvestor’sfirststatement.Petriestockprovidesalevelofconfidenceandcomfortfortheinvestorbecauseofthecircumstancesinwhichsheacquiredthestockandherrecenthistorywiththereturnsandincomefromthestock.However,theinvestorexhibitsoverconfidenceinthestockgiventheneedsofherportfolio(sheisretired)andthebrevityoftherecentperformancehistory.
b. Thebehavioralfinanceprincipleofmentalaccountingismostconsistentwiththeinvestor’ssecondstatement.Theinvestorhassegregatedthemoniesdistributedfromherportfoliointotwo“accounts”:thereturnsherportfolioreceivesonthePetriestockandthereturnsontherestofherportfolio.Sheismaintainingaseparatesetofmentalaccountswithregardtothetotalfundsdistributed.Theinvestor’sspecificusesshouldbeviewedintheoverallcontextofherspendingneedsandsheshouldconsidertheriskandreturnprofileoftheentireportfolio.
5. i. Overconfidence(BiasedExpectationsandIllusionofControl):Pierceisbasingherinvestmentstrategyforsupportingherparentsonherconfidenceintheeconomicforecasts.Thisisacognitiveerrorreflectingoverconfidenceintheformofbothbiasedexpectationsandanillusionofcontrol.Pierceislikelymoreconfidentinthevalidityofthoseforecaststhanisjustifiedbytheaccuracyofpriorforecasts.Analysts’consensusforecastshaveprovenroutinelyandwidelyinaccurate.PiercealsoappearstobeoverlyconfidentthattherecentperformanceofthePogoIslandeconomyisagoodindicatoroffutureperformance.Behavioralinvestorsofte
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