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SecuritiesMarkets&EquityInvestmentscontinued...
ComputingIndexPrices
„. ., .T. stockpricesPrice-weightedIndex=——
adjusteddivisor
Value-weightedIndex
^(currentprices)(#shares)
=^ Xbasevalue
XXbaseyearprices)(#baseyearshares)
TypesofOrders
Executioninstructions:howtotrade;e.g.,marketorders,limitorders.
Criticalrelationshipbetweenkandg:
Asdifferencebetweenkandgcwidens,valueofstockfalls.
Asdifferencenarrows,valueofstockrises.
Smallchangesindifferencebetweenkandg
causelargechangesinstock’svalue.CriticalassumptionsofinfiniteperiodDDM:
Stockpaysdividends;constantgrowthrate.
Constantgrowthrate,g>neverchanges.
kmustbegreaterthangc(ormathwillnotwork)
EarningsMultiplierModel
fullprice=PVatlastcoupondatex(1+YTM)r/Taccruedinterest=couponpaymentx(t/T)where:
t=daysfrommostrecentcouponpaymentto
tradesettlement
T=daysincouponpaymentperiod
Matrixpricing:Forilliquidbonds,useyieldsofbondswithsamecreditqualitytoestimateyield;adjustformaturitydifferenceswithlinearinterpolation.
BondMarkets
Nationalbondmarketincludesdomesticbondsandforeignbonds.
Validityinstructions:whentoexecute;e.g.,stop
orders,dayorders,fill-or-killorders.
Clearinginstructions:howtoclearandsettle;forsellorders,specifyshortsaleorsaleofownedsecurity.
o
Di
Ej k-
PriceMultiples
payoutratio
k^
Domesticbonds.Domesticissuerandcurrency.
Foreignbonds.Foreignissuer,domesticcurrency.Eurobondmarketisoutsideanyonecountry,withbondsdenominatedincurrenciesotherthanthose
MarketStructures
Quote-drivenmarkets:investorstradewithdealers.Order-drivenmarkets:buyersandsellersmatchedbyrules.
Brokeredmarkets:brokersfindcounterparties.
FormsofEMH
Weakform.Currentstockpricesfullyreflectavailablesecuritymarketinfo.Volumeinformation/pastpricedonotrelatetofuturedirectionofsecurityprices.Investorcannotachieveexcessreturnsusingtechanalysis.
Semi-strongform.Securitypricesinstantlyadjusttonewpublicinformation.Investorcannotachieveexcessreturnsusingfundamentalanalysis.
Strongform.Stockpricesfullyreflectallinformationfrompublicandprivatesources.Assumesperfectmarketsinwhichallinformationiscostfreeandavailabletoeveryoneatthesametime.Evenwithinsideinfo,investorcannotachieveexcessreturns.
.EQUITYINVESTMENTS
IndustryLifeCycleStages
Embryonic:slowgrowth,highprices,largeinvestmentneeded,highriskoffailure.Growth:rapidgrowth,fallingprices,limitedcompetition,increasingprofitability.
Shakeout:slowergrowth,intensecompetition,decliningprofitability,costcutting,weakerfirmsfailormerge.
Mature:slowgrowth,consolidation,stableprices,highbarrierstoentry.
Decline:negativegrowth,decliningprices,consolidation.
FiveCompetitiveForces
Rivalryamongexistingcompetitors.
Threatofentry.
Threatofsubstitutes.
Powerofbuyers.
Powerofsuppliers.
One-PeriodValuationModel
Pi
(l+kc)
BesuretouseexpecteddividendDjincalculation.
InfinitePeriodDividendDiscountModels
Supernormalgrowthmodel(multi-stage)DDM:
leadingP/E= pricepershare
forecastEPSnext12mo,
trailingP/E= pricepershare
EPSprevious12mo.
P/B= pricepersharebookvaluepershare
P/S=pricepershare
salespershare
P/CF= pricepershare
cashflowpershare
FIXEDINCOME
BasicFeaturesofBonds
Issuer.Sovereign,non-sovereign,quasi-government,supranational,corporate,SPE.
Maturity.Moneymarket(oneyearorless);capitalmarket(greaterthanoneyear).
Parvalue.Bond’sprincipalvalue(facevalue).Coupon.Annualpercentofpar;fixedorfloating.Dividebyperiodicitytogetperiodicrate.
Currency.Single,dual,currencyoption.
Indenture.Affirmativeandnegativecovenants.
Price,Yield,CouponRelationships
Bondpricesandyieldsareinverselyrelated.Increaseinyielddecreasesprice;decreaseinyieldincreasesprice.
Coupon<yield:Discounttoparvalue.Coupon>yield:Premiumtoparvalue.
Constant-yieldpricetrajectory:Priceapproachesparasbondnearsmaturityfromamortizationofdiscountsandpremiums.Capitalgainsandlossesarecalculatedrelativetothistrajectory.
CashFlowStructures
Bullet:Allprincipalrepaidatmaturity.
Fullyamortizing:Equalperiodicpaymentsincludebothinterestandprincipal.
Partiallyamortizing:Periodicpaymentsincludeinterestandprincipal,balloonpaymentatmaturityrepaysremainingprincipal.
Sinkingfund:Scheduleforearlyredemption.Floating-rate:Couponpaymentsbasedonreferencerateplusmargin.
BondPricing
Therearetwoequivalentwaystopriceabond:
ofcountriesinwhichbondsaresold.
Globalbondstradeinbothanationalbondmarketandtheeurobondmarket.
BondIssuance
Underwrittenoffering:Investmentbanksbuyentireissue,selltopublic.
Besteffortsoffering:Investmentbanksactasbrokers.Shelfregistration:Registerentireissuewithregulatorsbutselloveraperiodoftime.
EmbeddedOptions
Callable:Issuermayrepayprincipalearly.Increasesyieldanddecreasesduration.
Putable:Bondholdermaysellbondbacktoissuer.Decreasesyieldandduration.
Convertible:Bondholdermayexchangebondfor
issuer’scommonstock.
Embeddedwarrants:Bondholdermaybuyissuer’s
commonstockatexerciseprice.
YieldMeasures
Effectiveyielddependsonperiodicity.YTM=effectiveyieldforannual-paybonds.
Semiannualbondbasis:YTM=2xsemiannualdiscountrate.
Currentyield=annualcoupon/price.
Simpleyield=currentyield±amortization.
Yieldtocallisbasedoncalldateandcallprice.Yieldtoworstislowestofabond’sYTCsorYTM.Moneymarketyieldsmaybeonadiscountoradd-onbasisandmayusea360-or365-dayyear.
Bond-equivalentyieldisanannualizedadd-onyieldbasedona365-dayyear.
ForwardandSpotRates
Forwardrateisarateforaloanthatbeginsatafuturedate.“Iy3y”=3-yearforwardrate1yearfromtoday.
Exampleofspot-forwardrelationship:(1+s2)2=(1+S^l+lyly)
YieldSpreads
G-spread:Basispointsabovegovernmentyield.
I-spread:Basispointsaboveswaprate.
Z-spread:Accountsforshapeofyieldcurve.Option-adjustedspread:AdjustsZ-spreadforeffectsofembeddedoptions.
InterestRateRisk
Interestrateriskhastwocomponents:reinvestmentriskandmarketpriceriskfromYTMchanges.Theseriskshaveopposingeffectsonaninvestor’shorizonyield.
Bondinvestorswithshorthorizonsaremore
V„=
D,
(1+k_)
+ + D- + n
(i+ke)n a+ker
Constantdiscountrateappliedtoallcashflows (YTM)tofindPV.Thisisabond’sflatprice(does
concerned withmarketpricerisk. •Bondinvestorswithlonghorizonsaremore
where:P„= Dn+l
" (k.-ge)
Constantgrowthmodel:
y=Do(1+gc)= Di
0 ke“gc
notincludeaccruedinterest).
Discounteachcashflowusingappropriatespot
rateforeach.Thisisabond’s
includesaccruedinterest.Governmentbondsuseactualdaycounts;corporatebondsuse
concernedwithreinvestmentrisk.
Thehorizonatwhichmarketpriceriskandreinvestmentriskjustoffsetisabond’sMacaulayduration.Thisistheweightedaverageoftimesuntilabond’scashflowsarescheduledtobepaid.
continuedonnextpage...
FIXEDINCOMEcontinued...
Modifieddurationistheapproximatechangeinabondspricegivena1%changeinitsYTM:
Macaulayduration (V_)—(V+)
~~ 0+0 2V0(Ay)
Effectivedurationisrequiredifabondhas
ForwardContractValue
AttimeP.
Vt(T)=St+PVt(cost)-PVt(benefit)- F0(T)
(1+Rf)T-t
Atexpiration(timet=T):
payofftolong=ST-FQ(T)
Futuresvs.Forwards
embeddedoptions:
(v_)-(v+)
2Vo(Acurve)
Pricechangeestimatesbasedondurationonlyare
Forwards
PrivatecontractsUniquecontractsDefaultrisk
Littleornoregulation
Futures
Exchange-tradedStandardizedcontractsGuaranteedbyclearinghouseRegulated
improvedbyadjustingforconvexity:
1
%Aprice=—duration(Ay)H—convexity(Ay)'
Asset-BackedSecurities
ResidentialMBS',homemortgagesarecollateral.AgencyRMBSincludeonlyconformingloans;nonagencvRMBSmayincludenonconformingloansandneedcreditenhancement.
Prepaymentrisk-,contractionriskfromfasterprepayments;extensionriskfromslowerprepayments.
CMOs:pass-throughMBSarecollateral.Mayhavesequential-payorPAC/supportstructure.
CommercialMBS:non-recoursemortgagesoncommercialpropertiesarecollateral.
AutoABS:autoloansarecollateral.
CreditcardABS:creditcardreceivablesarecollateral.
CDOs:Bonds,bankloans,MBS,ABS,orotherCDOsarecollateral.
CollateralandCreditEnhancement
Securedbondsarebackedbyspecificcollateralandseniortounsecuredbonds.
Unsecuredbondsaregeneralclaimstoissuer’scash
flowsandassets.
Internalcreditenhancement:Excessspread,overcollateralization,waterfallstructure.
Externalcreditenhancement:Suretybonds,lettersofcredit,bankguarantees.
CreditAnalysis
Investmentgrade:Baa3/BBB-orabove
Non-investmentgrade:Bal/BB+orbelowCorporatefamilyrating(CFR):issuerrating.Corporatecreditrating(CCR):securityrating.“FourCs”:capacity,collateral,covenants,character,
defaultrisk=probabilityofdefault
ForwardRateAgreements(FRA)
Canbeviewedasaforwardcontracttoborrow/lendmoneyatacertainrateatsomefuturedate.
InterestRateSwaps
Maybereplicatedbyaseriesofoff-marketFRAswithpresentvaluesatswapinitiationthatsumtozero.
Options
Buyerofacalloption—longassetexposure.
Writer(seller)ofacalloption—shortassetexposure.
Buyerofaputoption—shortassetexposure.
Writer(seller)ofaputoption—longassetexposure.
intrinsicvalueofacalloption=Max[0,S—X]intrinsicvalueofaputoption=Max[0,X-S]
Americanvs.EuropeanOptions
Americanoptionsallowtheownertoexercisetheoptionanytimebeforeoratexpiration.Europeanoptionscanbeexercisedonlyatexpiration.ValueofAmericanoptionwillequalorexceedvalueofEuropeanoption.Theywillhaveidenticalvaluesexceptfor:(1)calloptionsondividendpayingstocksand(2)in-the-moneyputoptions.
FactorsthatAfifectOptionValues
Increasein: Calls Puts
Assetprice Increase Decrease
Exerciseprice Decrease Increase
Risk-freerate Increase Decrease
Volatility Increase Increase
Timeto Increase Increase*expiration
Holdingcosts Increase Decrease
ALTERNATIVEINVESTMENTS
HedgeFunds
Event-drivenstrategies:mergerarbitrage;distressed/restructuring;activistshareholder;specialsituations.
Relativevaluestrategies:convertiblearbitrage;asset-backedfixedincome;generalfixedincome;volatility;multi-strategy.
Equitystrategies:marketneutral;fundamentalgrowth;fundamentalvalue;quantitativedirectional;shortbias.
Macrostrategies:basedonglobaleconomictrends.Hedgefundfees:
“2and20”:2%managementfeeplus20%incentivefee.
Hardhurdlerate:incentivefeeonlyonreturnabovehurdlerate.
Softhurdlerate:incentivefeeonwholereturn,butonlypaidifreturnisgreaterthanhurdlerate.
Highwatermark:noincentivefeeuntilvalueexceedsprevioushigh.
PrivateEquity
Leveragedbuyouts:managementbuyouts(existingmanagers),managementbuy-ins(newmanagers)Venturecapitalstagesofdevelopment:
Formativestage:angelinvesting,seedstage,earlystage.
Laterstage:financeproductdevelopment,marketing,marketresearch.
Mezzaninestage:prepareforIPO.
Portfoliocompanyvaluationmethods:market/comparables;discountedcashflow;asset-based.Exitstrategies:tradesale;IPO;recapitalization;secondarysale;write-off.
lossseverity=percentofvaluelostifborrower
defaults
Holdingbenefits
Decrease Increase RealEstate
Includesresidentialproperty;commercialproperty;
expectedloss=defaultriskxlossseverityrecoveryrate=1-expectedlosspercentage
—D.--ERIVATIVE
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