FRM PART I BOOK 3:READING ASSIGNMENTSANDAIM STATEMENTS 3 FINANCIAL MARKETSANDPRODUCTS 20:Introduction Options,Futures,and OtherDerivatives 21:Mechanics of Futures Markets 22:HedgingStrat
Trang 2FRM PART I BOOK 3:
READING ASSIGNMENTSANDAIM STATEMENTS 3
FINANCIAL MARKETSANDPRODUCTS
20:Introduction (Options,Futures,and OtherDerivatives)
21:Mechanics of Futures Markets
22:HedgingStrategies Using Futures
23:InterestRates
24:Determinationof ForwardandFuturesPrices
2ÿ-JnterestRate Futures
26: Swaps
27:PropertiesofStockOptions
28:Trading Strategies Involving Options
29: Fundamentals of CommoditySpot and FuturesMarkets:Instruments,
Exchangesand Strategies
30: Commodity Forwards and Futures
31: Foreign Exchange Risk
32:Corporate Bonds
33;TheRatingAgencies
SELF-TEST:FINANCIALMARKETSANDPRODUCTS
PAST FRM EXAMQUESTIONS
80
94
111
124143
Trang 3FRM PARTI.BOOK 3: FINANCIAL MARKETS AND PRODUCT'S
©2013 Kajilan, Inc., d.b.a Kaplan Schweser AH rights reserved.
• Printed in the United Stares of America.
ISBN: 978-1-4277-4486-9 / 1-4277-4486-6
PPN: 3200-3231 Required Disclaimer:GARP®does not endorse, promote, review, or warrant the accuracy of the products or services offered by Kaplan Schweser of 1 ' R M related information, nor does it endorse any pass rates claimed
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Trang 4READING ASSIGNMENTS AND AIM
STATEMENTS
ThefollowingmaterialisareviewoftheFinancial Markets andProductsprinciples designedto
addressthe AIMstatements setforthbythe GlobalAssociationofRiskProfessionals.
20 “Introduction,”Chapter1
21.“Mechanics ofFuturesMarkets,”Chapter2
22.“Hedging Strategies UsingFutures,”Chapter3
23 “InterestRates,”Chapter 4
24.“Determinationof Forward and FuturesPrices,”Chapter 5
25.“InterestRateFutures,”Chapter6
26.“Swaps,”Chapter 7
27 “Properties ofStock Options,” Chapter10
28.“Trading Strategies Involving Options,” Chapter1 1
HelyerteGeman,CommoditiesandCommodityDerivatives.Modelingand Pricingfor
Agriculturals,MetalsandEnergy(WestSussex,England.)JohnWiley& Sons,2005)
29 “Fundamentals ofCommoditySpot and FuturesMarkets:Instruments,Exchanges and
Strategies,” Chapter1
RobertMcDonald,Derivatives Markets,3rdEdition(Boston.Addison-Wesley,2013).
(page143)
30 “Commodity Forwards andFutures,”Chapter 6
Anthony Saundersand MarciaMillonCornett,FinancialInstitutionsManagement
ARiskManagementApproach, 7thEdition(NewYork.McGraw-Hill,2011).
31.“Foreign ExchangeRisk,”Chapter15
FrankFabozzi(editor),The HandbookofFixedIncomeSecurities,8th Edition(NewYork
Trang 5ReadingAssignments andAIM Statements
Caouerte,Altman,Narayanan,andNimmo,Managing CreditRisk,2ndEdition(New
York.JohnWiley&Sons,2008)
33 “TheRatingAgencies,”Chapter 6 (page203)
Trang 6Book 3 Reading Assignments and AIM Statements
AIM STATEMENTS
20. Introduction(Options,Futures,andOtherDerivatives)
Candidates,after completingthisreading,should beableto:
1. Differentiatebetween anopenoutcry systemand electronictrading,(page11)
2 Describe theover-the-countermarket,howitdiffersfrom tradingon anexchange,
and itsadvantages anddisadvantages,(pageII)
3 Differentiate between options,forwards,andfuturescontracts,(page12)
4 Calculate and identifyoptionand forwardcontract payoffs,(page1 2)
5 Describe,contrast,andcalculatethepayoffs from hedgingstrategiesinvolving
forwardcontractsandoptions, (page16)
6 Describe,contrast,and calculate thepayoffsfromspeculativestrategiesinvolving
futures and options,(page18)
7 Calculateanarbitragepayoffanddescribe how arbitrage opportunitiesare
ephemeral,(page 21)
8 Describesomeof the risksthat can aiisefromthe useofderivatives,(page21)
21 Mechanics of Futures Markets
Candidates,after completingthisreading, shouldbe ableto:
1 Define anddescribethekeyfeatures ofafuturescontract,includingtheasset,the
contractpriceandsize,deliveryandlimits,(page27)
2 Explain the convergence of futures andspotprices, (page29)
3 Describe the rationalefor marginrequirements andexplainhowtheywork
(page29)
4 Describe theroleofaclearinghouseinfuturestransactions,(page30)
5 Describethe roleof collateralizationintheover-the-counter marker andcompareit
tothe marginingsystem,(page31)
6 Identify and describethedifferences betweenanormalandinverted futuresmarket
(page31)
7 Describe the mechanicsofthedelivery processandcontrastit with cashsettlement
(page32)
8 Defineand demonstrate an understandingof the impact ofdifferentordertypes,
including:market, limit,stop-loss, stop-limit,market-if-touched, discretionary,
time-of-day, open,andfili-or-kill.(page33)
9 Compareandcontrastforwardandfuturescontracts,(page27)
22.HedgingStrategiesUsing Futures
Candidates,aftercompletingthisreading,shouldbeableto:
1 Defineanddifferentiatebetweenshort and longhedgesandidentify appropriate
uses,(page39)
2 Describe theargumentsfor and againsthedgingand thepotentialimpactof
hedgingonfirm profitability, (page39)
3 Define the basisand thevarious sourcesofbasisrisk,and explain how basis risks
arisewhenhedgingwithfutures,(page40)
4 Definecrosshedging,andcomputeandinterpret theminimumvariancehedge
ratioand hedgeeffectiveness,(page40)
5 Define,compute,and interprettheoptimal number of futurescontractsneeded to
hedgeanexposure, andexplain and calculatethe“tailing thehedge”adjustment
(page43)
Page 5
©2013Kaplan, Inc
Trang 7Book 3
ReadingAssignments and AIM Statements
6 Explainhowto usestockindexfuturescontracts tochangeastockportfoliosbeta
(page44)
7 Describewhat ismeantby“rollingthehedgeforward”anddescribesomeof the
risksthatarisefrom sucha strategy,(page45)
23 InterestRates
Candidates,aftercompletingthisreading,should be ableto:
1 DescribeTreasuryRates,LIBOR,RepoRates,and whatis meantby the risk-free
2 Calculatethe valueof aninvestmentusingdaily,weekly, monthly, quarterly,
semiannual, annual,andcontinuouscompounding.Convertratesbasedon
different compounding frequencies, (page52)
3 Calculate the theoretical price ofacoupon paying bond usingspot rates,(page53)
4 Calculate forwardinterestratesfroma setofspot rates,(page 57)
5 Calculate thevalue of the cash flowsfromaforwardrate agreement (FRA).
(page 58)
6 Describethe limitations of duration and how convexityaddressessomeofthem
(page59)
7 Calculatethechangein abond’s price givenduration, convexiry, andachangein
interest rates,(page59)
8 Define anddiscuss themajor theoriesof theterm structureofinterest races
(page 62)
24 DeterminationofForwardandFuturesPrices
Candidates,after completing this reading, shouldbe ableto:
1. Differentiatebetween investment and consumptionassets,(page67)
2 Define short-selling andshortsqueeze, (page67)
3 Describethedifferences between forward and futurescontractsand explainthe
relationshipbetween forward andspotprices,(page68)
4 Calculatethe forwardprice,given theunderlyingassetsprice, withorwithoutshortsalesandyorconsideration totheincomeoryieldoftheunderlyingasset.Describe
anarbitrageargumentinsupportof theseprices,(page68)
5 Explaintherelationshipbetween forward and futuresprices,(page72)
6 Calculateaforwardforeign exchangerateusing theinterestrareparityrelationship
(page71)
7.• Defineincome,storagecosts,and convenienceyield,(page72)
8. Calculate thefutures priceoncommodities incorporating income/storagecostsand/
orconvenienceyields,(page72)
9 Define andcalculate,using thecost-of-carrymodel,forwardpriceswherethe
underlyingasseteither doesordoesnothave interim cashflows,(page68)
10 Describethevariousdeliveryoptionsavailable in thefuturesmarketsand howthey
caninfluencefuturesprices,(page74)
11 Assessthe relationship betweencurrentfutures pricesandexpected futurespot
prices,includingtheimpactof systematicand nonsystematicrisk,(page74)
12 Definecontangoandbackwardation, interpret theeffectcontango orbackwardation mayhave ontherelationshipbetweencommodityfutures andspot
prices, and relatethecost-of-carrymodelto contangoandbackwardation,(page75)
Trang 8Book 3
ReadingAssignments and AIM Statements
25 InterestRateFutures
Candidates,aftercompletingthisreading, should be ableto:
1. Identify themostcommonlyuseddaycount conventions,describethe markets that
eachoneistypically usedin,andapplyeachto aninterestcalculation,(page80)
2 Calculate theconversion ofadiscountrate to apriceforaU.S.Treasury bill
(page82)
3 Differentiate between thecleanand dirtypriceforaU.S.Treasury bond;calculate
the accruedinterest anddirtyprice onaU.S.Treasurybond,(page81)
4 Explainand calculateaU.S Treasurybondfuturescontractconversionfactor
(page83)
5 Calculate thecostofdeliveringabondintoaTreasury bond futurescontract.
(page83)
6 Describe the impact of the level and shape of theyieldcurveonthe
cheapest-to-deliver bonddecision,(page83)
7 Calculatethetheoretical futures price foraTreasure’bondfuturescontract.
(page84)
8 Calculatethefinalcontractpriceon aEurodollarfuturescontract,(page86)
9 DescribeandcomputetheEurodollarfuturescontractconvexityadjustment
(page86)
10 Demonstrate howEurodollar futurescanbeusedtoextend the LIBORzero curve.
(page87)
11 Calculate theduration-basedhedgeratioand describeaduration-based hedging
strategyusinginrerest rate futures,(page87)
12.Explainthelimitationsofusingaduration-based hedgingstrategy,(page88)
26 Swaps
Candidates,after completing thisreading,shouldbeableto:
1 Explain the mechanics ofaplainvanilla,interest rateswapandcompute itscash
flows, (page94)
2. Explainhowaplainvanilla interestrateswap.canbeusedtotransformanasset ora
liability and calculatetheresulting cashflow's,(page95)
3 Explain theroleoffinancialintermediaries in the swapsmarket,(page95)
4 Describe the roleofthe-confirmationinaswaptransaction,(page95)
5 Describe the comparativeadvantageargument'forthe existenceofinterestrate
swapsand explainsomeof thecriticismsof thisargument,(page96)
6 Explainhowthe discountratesin aplainvanillainterestrateswaparecomputed
(page97)
7 Calculate thevalueofaplainvanillainterest rateswap basedon twosimultaneous
bond positions,(page97)
8 Calculate thevalueofaplainvanillainterest rateswap fromasequence of forward
rate agreements(FRAs).(page99)
9 Explainthe mechanicsofa currencyswap andcompute itscashflow’s, (page101)
10 Describe the comparativeadvantageargumentfor theexistence of currencyswaps
(page103)
1 .Explain howacurrencyswapcanbeusedtotransforman assetorliability and
calculatetheresultingcashflows,(page103)
12.Calculatethe valueofacurrencyswap basedontwosimultaneousbond positions
(page101)
13 Calculatethevalueofacurrencyswap basedon asequence of FRAs (page102)
Trang 9Book 3
ReadingAssignments and AIMStatements
14 Describe rhe role ofcredit riskinherentinanexistingswap position,(page104)
15 Identifyanddescribeothertypesof swaps, includingcommodity,volatilityand
exoticswaps, (page104)
27 Propertiesof Stock Options
Candidates,aftercompletingthis reading,shouldbe ableto:
1. Identify thesixfactors that affectanoptionspriceand describe how thesesix
factorsaffectthepriceforbothEuropeanandAmerican options,(page111)
2 Identify, interpretandcomputeupper and lower bounds for option prices
(page113)
3 Explain put-callparityandcalculate,using theput-callparityonanon-dividend¬payingstock,the valueofaEuropeanand Americanoption,respectively,(page114)
4 ExplaintheearlyexercisefeaturesofAmericancall andputoptionson a
non-dividend-payingstockanddie price effect earlyexercisemayhave,(page116)
5 Explaintheeffectsof dividendsontheput-callparity, the bounds ofputandcalloptionprices,and the earlyexercisefeature ofAmerican options,(page119)
28 TradingStrategies InvolvingOptions
Candidates,aftercompletingthisreading,shouldbeableto:
1 Explainthe motivationto initiate acoveredcalloraprotectiveput strategy.
(page128)
2. Describeandexplain theuseand payoff functionsof spreadstrategies,includingbull spread,bearspread,box spread, calendar spread, butterflyspread,anddiagonal
spread, (page329)
3 Calculatethepayoffsof variousspread strategies, (page129)
-4 Describeandexplaintheuseandpayofffunctions of combination strategies,
•includingstraddles,strangles,strips, aridstraps,(page133)
5 Computethepayoffsof combination strategies, (page133)
29 FundamentalsofCommoditySpotandFuturesMarkets:Instruments,Exchangesand
Strategies'
•Candidates,after completing thisreading,should be ableto:
1. Define “billof lading.”(page145)
2 Define the majorrisks involvedwithcommodityspot transactions,(page146)
3 Differentiate between ordinary and extraordinarytransportationrisks (p,£ge146)
.4, Explainthe majordifferences betweenspot,forward,andfuturestransactions,
markets, andcontracts,(page144)
5 Describethe basiccharacteristics and differences betweenhedgers,speculators,and
arbitrageurs,(page146)
6 Describean“arbitrageportfolio”andexplainthe conditions foramarkettobe
arbitrage-free,(page147)
7 Describe rhesrructureof the futuresmarket,(page145)
8 Define basis risk and thevarianceof thebasis,(page148)
9 Identifyacommonlyused measurefordeterminingtheeffectivenessofhedginga
spotposition withafuturescontract,andcomputeand compare the effectiveness of
alternativehedges using thismeasure,(page148)
10 Defineanddifferentiate betweenanExchangefor Physicalagreementandan
Alternative DeliveryProcedure,(page149)
11 Describe volumeand open interest andtheirrelationship liquidityandmarket
Trang 10Book 3
ReadingAssignments and AIM Statements
30 CommodityForwardsandFutures
Candidates,after completing this reading, should beableto:
I. Define commodity terminology’suchasstorage costs,carry markets, leaserate,and
convenienceyield, (page155)
2. Explain the basic equilibrium formula for pricing commodityforwards,(page155)
3 Describeanarbitragetransaction incommodityforwards,andcomputethe
potential arbitrageprofit,(page157)
4 Define theleaserateand explain howitdetermines theno-arbitragevalues for
commodity forwards andfutures,(page160)
5 Definecarrymarkets,andexplainthe impact ofstorage costsandconvenience
yieldsoncommodity forwardpricesandno-arbirragebounds,(page162)
6 Compute the forward priceofacommodity withstorage costs,(page162)
7 Compare theleaseratewiththeconvenienceyield,(page164)
8 Identify factors thatimpactgold,corn,electricity,natural gas,andoil forward
prices,(page164)
9 Defineandcompute acommodity spread, (page167) _
10.Explainhow basis riskcan occurwhenhedgingcommodity price exposure
(page167)
11.Evaluate thedifferencesberweenastriphedgeandastackhedgeand explain how
these diflerencesimpact riskmanagement,(page168)
12 Describeexamplesof cross-hedging,specificallytheprocess of hedgingjetfuelwith
crudeoiland using weatherderivatives,(page169)
13 Explainhowto create asynthetic commodity position, anduse it toexplain
the relationshipbetweenthef orward price and the expected futurespotprice
(page155)
31 ForeignExchangeRisk
Candidates,after completingthisreading, shouldbe ableto:
1 Calculateafinancial institutions overallforeign exchangeexposure, (page176)_
2 Explain howafinancialinstitutioncould alteritsnetpositionexposuretoreduce
foreign exchangerisk,(page1 76)
3- Calculateafinancial institutionspotential dollargain orloss exposuretoa
particularcurrency,(page176)
4 Identifyand describethedifferent typesofforeignexchangetradingactivities.'
(page177)
5- Identifythe sourcesof foreignexchangeHading gainsandlosses,(page178)
6 Calculatethepotential gainorloss fromaforeigncurrencydenominated
7 Explain balance-sheethedgingwithforwards,(page180)
8 Describe howanon-arbitrageassumption in theforeignexchangemarketsleads
totheinterestrateparitytheorem;usethistheoremtocalculateforwardforeign
exchangerates,(page183)
9 Explain why diversificationinmulticurrency asset-liabilitypositions couldreduce
portfoliorisk,(page184)
10 Describe the relationshipbetweennominalandrealinterestrates,(page184)
Trang 11Book 3
ReadingAssignments and AfM Statements
32 Corporate Bonds
Candidates,after completing thisreading,should be ableto:
1 Describeabondindenture andexplain theroleof thecorporate trusteeina bond
indenture,(page190)
2 Explainabond’smaturitydate andhowitimpacts bondretirements,(page190)
3 Describe themain typesofinterestpayment classifications,(page191)
4 Describe zero-couponbonds,therelationshipbetweenoriginal-issue-discountand
reinvestmentrisk,and thetreatmentofzeroes inbankruptcy,(page191)
5 Describethe various securitytypesrelevantforcorporate bonds,including:
• Mortgagebonds
• Collateraltrustbonds
• Equipmenttrustcertificates
• Debenture bonds (includingsubordinatedand convertibledebentures)
• Guaranteedbonds(page192)
6 Describethemechanisms by whichcorporatebondscanbe retired beforematurity,
includingcall provisions,sinking-fundprovisions,maintenance and replacementfunds,and tenderoffers,(page194)
7 Describeanddifferentiate between creditdefaultriskandcredit spreadrisk
(page195)
8 Describeevent riskand whatmaycause itincorporate bonds,(page196)
9 Define high-yield bonds, anddescribetypesof high-yieldbond issuers and someof
thepaymentfeatures peculiartohighyield bonds,(page196)
10.Define and differentiate betweenanissuerdefaultrateandadollar defaultrate.
-11.Definerecoveryratesanddescribe therelationshipbetweenrecoveryratesandseniority,(page198)- • - -
33 The RatingAgencies'
Candidates,aftercompletingthisreading, should be ableto:
1 Describethe role of rating agenciesinthe financialmarkets,(page203)
2 Explainmarketandregulatoryforces that haveplayedarol.einthegrowthofthe
rating agencies,(page203) •
3 Describearatingscale,define creditoutlooks,and explainthedifferencebetween
solicitedandunsolicited ratings, (page204)
4 Describe StandardandPoor’sandMoody’s rating scalesanddistinguishbetween
investmentandnoninvestmentgraderatings,(page204)
5 Describe the difference betweenan issuer-payandasubscriber-pay modeland
describeconcernsregardingthe issuer-paymodel,(page205)
6 Describe andcontrastthe processfor ratingindustrialandsovereigndebtand
describe howthedistributionsof theseratingsmaydiffer,(page206)
7 Discuss the ratingsperformance forcorporate bonds,(page207)
8 Describe therelationshipbetween the rating agencies and regulatorsandidentifykeyregulationsthat impact the rating agencies and theuseofratingsin the market
(page207)
9 Discuss someof rhe trendsand issuesemerging from thecurrentcreditcrisisrelevanttotherating agenciesand theuseof ratingsin themarket,(page208)
Trang 12The following is a review of the Financial Markets and Products principles designed to address the AIM
statements set forth byGARP®.This topic is also covered in:
Topic20
EXAM FOCUS
In thistopic,we presentthebasicconceptsofderivative securitiesand derivativemarkets.For
theexam,knowthebasicderivativeterms aswellasthetermsrelated toderivativemarkets
Also,be ableto computepayoffs forthedifferent derivativesecuritiesandbeableto create
ahedgeand knowhowtotake advantage ofanarbitragesituation Asindicated bythetitle,
this topicprovidesan introductiontothe upcomingderivativesmaterial
DERIVATIVEMARKETS
AIM20.1:Differentiate betweenanopenoutcrysystemand electronic trading
Anopen outcry systemand electronictradingsystem aredifferent formsoftrading
securities(matching buyers withsellers) The openoutcry system (e.g.,CBOT)isthemore
traditionalsystem,which involvestraders actuallyindicatingtheir tradesthroughhand
signals and shouting Electronic trading doesnotinvolveanactual “physical” exchange
location,but ratherinvolves matching buyersandsellers electronicallyvia computers
(e.g.,NASDAQ)
AIM 20.2:Describe theover-the-counter market,howitdiffersfrom tradingon an
exchange, anditsadvantages and disadvantages
Anover-the-counter(OTC)marketdiffersfromatraditional exchange Itisacustomized
trading market which utilizes telephone and computerstomake trades This market
typicallyinvolvesmuch larger trades than traditionalexchanges.ThemosttypicalOTC
tradeisconductedoverthe phone.Sincetermsarenotspecified byan“exchange,”
participants have moreflexibilitytonegotiatethemostmutuallyagreeableorattractive
trade
TheOTCmarketisseveraltimesthe sizeofthetraditional exchangemarket.Forexample,
in2007,theOTCmarketwasover $500 trillion, while theexchange-tradedmarket was
under$100trillion
Advantages ofover-the-countertrading:
• Termsare not setby any exchange
• Participants have flexibilitytonegotiate
• In theeventofamisunderstanding,callsarerecorded
Trang 13CrossReferencetoGARP AssignedReading-Hull,Chapter1
Disadvantages of over-the-countertrading:
• O I'C trading hasmorecredit risk thanexchange reading.Exchangesareorganizedin
sucha waythat credit riskiseliminated
BASICSOFDERIVATIVE SECURITIES
AIM 20.3: Differentiate between options, forwards, and futurescontracts.
Anoptioncontract isacontractthat, inexchange for the option price,givestheoption
buyer theright,butnotrheobligation,tobuy(sell)an asset attheexerciseprice from
(to)theoptionseller (buyer) withinaspecifiedtimeperiod,ordependingonrhetypeof
option,aprecise date(i.e.,expirationdate) Acalloptiongives the option holder the right
topurchase theunderlyingassetbyacertainspecifieddateforaspecified(inadvance)price
Aputoptiongives theoptionholder the righttosellthe underlyingassetbyaselecteddate
-Aforwardcontractisa contractthatspecificsthe priceand quantity ofan asset tobedelivered sometime inthefuture.Thereisnostandardizationfor forwardcontracts,
and thesecontractsaretradedin theover-the-counrermarket.Onepartytakesthelong
position,agreeingtopurchasetheunderlyingasset at afuturedateforaspecifiedprice,while theotherpartyistheshort,agreeingtosell theasset onthatsamedateforthat same
price.Forwardcontracts areoften usedinforeignexchangesituationsasthesecontractscan
be usedtohedgeForeigncurrency risk
Afuturescontract is amore formalized,legallybindingagreement tobuy/sellacommodity/
financialinstrument inapre-designatedmonth in the future,at apriceagreedupontoday .
bythebuyer/seller.Futurescontracts arehighlystandardized regarding-quality,quantity,deliverytime,and locationforeachspecificcommodity Thesecontracts arctypicallytraded
on anexchange
Professor’sNote: Rememberthatafuturescontract is anobligaiion/promiseto
actuallycompletea transaction , whilean optionissimply therighttobuy/sell
AIM 20.4:Calculate and identifyoption and forwardcontractpayoffs.
Call Option Payoff
Thepayoffon acalloptiontothe option buyeriscalculatedasfollows:
Cj- =max(0,Sy —X)
where:
Cy =payoffoncalloption
ST =stockpriceatmaturity
Trang 14Topic20 Cross Reference toGARP Assigned Reading-Hull,Chapter1
(0,Sj-X}].Weshouldnotethat
Thepayofftotheoptionselleris— Cy[i.e
max {0,S{ -X),wheretime, t,isbetween0andT, isalso thepayoffif theownerdecidesto
exercise thecall option early(inthecaseofan Americanoption aswewill discusslater).
-max
Thepricepaid forthe call option,C0,isreferredto asthecallpremium.Thus,theprofitto
the optionbuyeriscalculatedasfollows:
Figure1depictsthepayoffandprofitfor thebuyerandseller ofacalloption
Figure1 :Profit Diagramfor aCallat Expiration
Trang 15Cross Reference to GARPAssigned Reading-Hull,Chapter1
Put Option Payoff
Thepayoffona putoption iscalculatedasfollows:
Pr =max (0,X-ST)
where:
PT =payoffon putoption
ST =stock priceatmaturity
X =strike price ofoptionThepayofftotheoptionselleris-P-j-[i.e., -max(.0,X- ST)j.We shouldnotethat
max(0,X—S(),where0< t < T,isalso thepayoffif theownerdecidestoexerciserheputoption early
Thepricepaid for theputoption,P0,isreferred toas theputpremium.Thus,rheprofitto
theoptionbuyeriscalculatedasfollows:
Figure2: ProfitDiagram foraPutatExpiration
Trang 16-Topic 20
Cross Reference to GARPAssignedReading-Hull,Chapter1
.
Example: Calculating profit andpayoffsfrom options
premiumis $350,and theputpremiumis$2.50 s - f
ForwardContractPayoff
The payoffto alongposition in aforwardcontractiscalculatedasfollows:
Trang 17Cross Reference to GARPAssigned Reading- Hull,Chapter1
Figure 3 depictsthepayofffor thelongandshortpositions inaforwardcontract.
Figure 3: Forward ContractPayoff
buyingacall option
Trang 18Cross Reference to GARPAssigned Reading-Hull,Chapter1
Hedgersuseforwardcontracts tolockinthe price of theunderlyingsecurin'.Forward
thatmayhave hadpositiveresultsintheeventthat theposition wasleftunhedged.Option
downside protection thatthehedgerseeks and allowing for pricemovementinthedirection
that could yield positive results Thisinsurancedoesnotcomewithouta cost,aswe
describedearlier, sincehedgersarerequiredtopaya premiumtopurchaseoptions
2. Thevalueof the€10M in U.S dollarsatmaturity given that thecompany didnot
hedgetheexchangeraterisk and diespot rate atmaturityis 1.2$/€. |
Trang 19Cross Reference to GARP AssignedReading—Hull,Chapter1
Example: Hedgingwitha putoption
Suppose.chatail myestofoÿnsoneshare*ofABCstock pricedat$3<„rr
AIM20.6:Describe,contrast,and calculate thepayoffsfromspeculativestrategies
involvingfutures and options
Speculatorshaveadifferentmotivationforusing derivativesthan hedgers Theyuse
derivativestomakebetsonthe market,while hedgerstry toeliminateexposures
Themotivationfor using futuresinspeculationisthatthelimitedamountofinitialinvestmentcreatessignificantleverage.Theamountofinvestmentrequiredforfuturesisthe
amountof the initialmarginrequired bytheexchange Thisisgenerallyasmall percentage
ofthenotionalvalueof theunderlying,andTreasurysecurities can typically be postedas
margin.Futurescontractscanresultinlargegainsorlargelosses,andcontractpayoffsare
Trang 20Topic20 CrossReferenceto GARPAssignedReading - Hull, Chapter 1
Optionsalsocreatesignificant leverageas investors onlyneedtopaythe option premium to
purchaseanoption instead ofthefacevalueoftheunderlying Options differfrom futures
in that options haveasymmetricalpayoffs.Gainscan bequitelargegoinglongoptions, but
lossesfromlong optionpositionsarelimitedtotheoptionpremium
Example:Speculatingwith futures
eurosin thespot marketat 0.80$/€ orpurchasetwofuturescontracts at0.83$/€withan
initial margin ofS10,000.Compute theprofitfromthe following:
1 Purchasingeurosin thespotmarket if thespot rateinthree monthsis0.S5$/€; .
|g i
2 Purchasing euros'irithespotmarketifthespot ratein three monthsis0.75$/€
3.«Purchasingthefuturescontractifthe*spotrateinthreemonthsis0.85$/€•;
4.' Purchasirigjhe;futur(ÿcontractifdiespotfateinthrqemonthsis0.75,v|/€:
Asummaryof these fourtransactionsisasfollows:
-Purchase Euros in Spot Market Purchase LongForwardPosition Investment
Profit ifspot at maturity
Trang 21CrossReference to CARPAssigned Reading-Hull,Chapter1
Professor’sNote:Sinceoption contracts aretradedin amountsof100options,
Ifogl the transactionsin#3and #4 above would entail thepurchajeof100call
optioncontracts (t.e., 10,000/100 - 100).
'
/'4‘
u*m
Asummary ofthese foitrtransactionsis as"follows: 3jr
PurchaseStock Purchase Call OptionShares/Calloption 1,000 • 10,000
mmrni
Trang 22Topic20 Cross Reference to GARPAssigned Reading-Hall,Chapter1
ARBITRAGEOPPORTUNITIES
AIM 20.7:Calculatean arbitrage payoffand describehow arbitrage opportunities
.areephemeral.
Arbitrageursarealsofrequentusersof derivatives.Arbitrageursseekto earn a risk-free
profit in excessof the risk-freeratethroughthediscovery andmanipulationofmispriced
securities.Theyearnarisklessprofitbyenteringintoequivalent offsettingpositionsin one
ormoremarkets Arbitrage opportunities typically donotlastlongassupplyand demand
forces will adjustpricestoquicklyeliminate the arbitragesituation
c.
•
Assume stockDhbtradesontheNcw.YorkStockExchange(NYSE)and theTokyo*Stock
Exchange(TSE).Thestock currently tradesontheNYSEfor$32andontheTSEfor •
¥2,880.Given thecurrentextharigeTafeis0:dÿ0S$/¥,determine ifanatbilrage profitis
Example:Arbitrage of stocktradingon two.;exchanges
$32-RISKFROM DERIVATIVES
AIM 20.8: Describesomeof the risks thatcanarisefromtheuseof derivatives
Derivativesareversatileandcanbe used forhedging, arbitrage,andpure speculation
If,however,the“bet"onemakesstartsgoingin thewrongdirection,theresultscanbe
catastrophic.Additionally,theriskexiststhatatrader with instructionstohedgeaposition
mayactuallyusederivativestospeculate.Thisriskisknownasoperational risk Controls
needtobecarefully established and monitoredwithinbothfinancial andnonfinancial
corporationsto preventmisuseofderivatives Risk limitsshouldbeset,and adherenceto
risk limitsshould be monitored
COMMON TERMS RELATEDTODERIVATIVES
Thefollowingsectiondiscussescommontermsassociated withderivatives Many of these
forwardas youprogressthroughthederivatives material
Trang 23Topic 20
Cross Reference to GARPAssigned Reading-Hull, Chapter 1
Aderivative security isafinancialsecurity(e.g., options) whose valueisderivedinpartfromanother security’scharacteristicsorvalue This other securityisreferred to astheunderlying
Amarket makeristheindividual that “makesamarket”in a security.Themarket makermaintainsbid andoffer pricesin a givensecurityandstands readytobuyorselllotsofsaidsecurity,atpubliclyquoted prices
A spot contractisan agreement tobuy/sellan assettoday.Aforwardcontractspecifiesthe
price/quantityofan asset tobe deliveredonorbeforeafuturepre-specifieddate.Afutures
contractisalegally bindingagreement to buy/sell acommodityorfinancialinstrument ina
designatedfuturemonthat apreviously agreedupon pricebyrhe buyer/seller
Acall optiongives itsholder rherighttobuyaspecifiednumberofsharesof theunderlying
securityatthe given strikeprice,on orbeforetheoptioncontract’sexpirationdate.Aput
•priongives theinvestortheright tosellafixed numbeiof sharesatafixed pricewithinagivenpre-specifiedtimeperiod.An investormaywishtohave the optiontosell sharesofa
stockat a certainprice and time in ordertohedgeanexistinginvestment
AnAmerican-styledoptioncontractcanbe exercisedanytimebetween issue dateand
expiration date.Incontrast, aEuropean-styled optioncontract maybeexercisedonlyon theactual expirationdate American optionswill beworthmorethanEuropeanoptions when
rherightto earlyexercise is valuable, andtheywill haveequalvaluewhenitisnot.
Alongposition,referstoactuallyowningthesecurity, whileashort positionis when a
person sellsa securityhe doesnot own.An investortakingashort positionanticipatesa
dropippriceofthesecurity • Theexercise,orstrikeprice,isthe priceatwhich thesecurityunderlyinganoptions
-contractmaybebought/sold
Expirationdate is the jastdateonwhichanoption may be exercised
The bidpriceisthe “quotedbid,” orrhehighestprice, whichadealeriswillingtopayto
purchaseasecurity.Thisisessentiallythe available priceatwhichaninvestor cansell shares
ofstock.Theofferprice is thepriceatwhichthe securityisofferedforsale,also knownas
the “asking price.” Thebid-askspreadisthedifference between the ask(a.k.a.offer)price
andthe bid price
Hedgersreduce their risks typicallythroughtheuseofforwardcontracts oroptions.Byusingforwardcontracts,the traderisattemptingtoneutralize risk byfixingthe price the
hedgerwill pay/receivefortheunderlyingasset.Optioncontracts, in contrast, are moreof
aninsurancepolicy
Speculatorswant totakeapositioninthemarketand profit fromthis position.Speculators
areeffectivelybettingonfuturepricemovement.Whenaspeculatoruses futures,thereis alargepossiblegain/loss Speculatingusing optionsislessriskysincethe maximumlossisthe
costof theoptionitself
Trang 24lopic 20
Cross Reference to GARPAssigned Reading- Huil, Chapter 1
KEY CONCEPTS
AIM 20.1
theirtrades through hand signals Electronic trading involvesmatchingupbuyers and sellers
electronically
AIM20.2
Theover-the-counter(OTC)market is usedfor largetrades,andatypicalOTCtrade
isconductedoverthephone Termsare not set byan"exchange,” giving tradersmore
flexibility'tonegotiate mutually agreeablererms.TheOTCmarket hasmorecredit risk
Exchangesareorganizedtoeliminate credit risk
AIM 20.3
Acall optiongivesitsholder therighttobuyaspecified numberofsharesof theunderlying
securityat thegiven strikeprice, onorbeforethe optioncontract’sexpirationdate,while
aputoptionistherighttosellafixednumberofsharesat afixedpricewithin agiven pre¬
specifiedtimeperiod
Aforwardcontract isan agreement tobuyorsellan asset at apre-selectedfuturetimefora
certain price ’
Afuturescontract is a more formalized,legallybindingagreement tobuy or sella
commodity orfinancialassetinapre-designatedmonth inrhefuture, at apriceagreed
upon today by thebuyer/seller.
AIM 20.4
Thepayoffonacalloptiontothe option buyeriscalculatedasfollows:
Gaily=max(0,S-r- X)
where:
ST =stock priceatmaturity
X=strike price ofoption
Thepayoffon aputoptioniscalculatedasfollows:
PutT =max (0,X-Sy)
where:
Sy =stock priceat maturity
X=strike price of option
Page23
©2013 Kaplan, Inc.
Trang 25Cross Reference to GARPAssigned Reading—Hull,Chapter1
Thepayoffto alongposition inaforwardcontract iscalculatedasfollows:
payoff= S-j- -Kwhere:
ST =spotpriceat maturity
K=delivery priceAIM 20.5
Hedgersusederivativestocontroloreliminateafinancial exposure.Futureslockin the
priceof the underlyingsecurityand donotallowforanyupside potential Options hedgenegative pricemovementsandallowfor upside potentialsincethey haveasymmetric
payouts.
AIM20.6Speculatorsusederivativestomake betson themarket.Futures requireasmall initialinvestment,whichistheinitialmarginrequirement.Futurescontracts canresultinlarge
gains orlargelossesasfutureshaveasymmetricalpayoutfunction
AIM 20.7
Arbitrageursseektoearnarisklessprofitthroughthe discovery andmanipulationof
mispricedsecurities Risklessprofitisearned byentering intoequivalentoffsettingpositions
in oneor moremarkets Arbitrageopportunitiesdonorlastlongastheactof arbitrage
bringsprices backintoequilibrium quickly
AIM 20.8
Derivativesareversatileinstruments and can beusedforhedging, arbitrage,and purespeculation Controlsneed tobecarefullyestablishedto preventmisuseofderivatives Risklimitsmustbecarefullyestablished andscrupulouslyenforced
Trang 26B tradesaremade in sucha way as toreducecredit risk.
C participantshaveflexibilitytonegotiate
D in theeventofamisunderstanding,callsarerecorded between parties
Whichof thefollowingstatementsregardingfuturescontracts is mostlikelycorrect?
Abusinesswithalong exposureto an assetwould hedge this exposure by either
enteringinto a:
A longfuturescontract orbybuyingacall option
B long futurescontract orbybuyinga putoption
C shortfuturescontract orbybuyingacall option
D short futurescontract orbybuyinga putoption
Which ofthefollowingstatementsisleast likelycorrect regarding theuseof
derivatives?
A Misuseofderivativesis not a verysignificant risk
B Risklimitsfor derivativesshouldbeset,andadherencerotheselimits should be
monitored
C Duetoleverageinherent inderivatives,ifabet goeswrong,resultscanbe
catastrophic
D Thereis arisk that tradersmayusederivatives forunintended purposes
Anindividualthatmaintainsbidandofferpricesin agiven securityandstandsready
tobuyorselllotsof saidsecuriryisa(n):
Anagreementsold overanexchangetobuy/sellacommodityorfinancialinstrument
at adesignated future dateisknownas a(n):
Trang 27Cross'Referenceto CARPAssigned Reading-Hull,Chapter1
CONCEPT CHECKER ANSWERS
1 B Exchangesareorganizedto reduce creditrisk.The other answerchoicesareadvantagesof
over-the-counter trading
D A business with alongexposure to an asset wouldhedgethe exposure by eitherenteringinto
a shortfuturescontract orby buyinga putoption
3 A Misuseof derivativescan be asignificantriskfor firms thatengage inderivatives trading
4. D Amarket makermaintainsbid andofferpricesin a security and standsreadytobuyor sell
lotsofthegivensecurity.
5 C A futures contract is an agreementsoldon anexchangetobuy/sellacommodityorfinancial
instrument in adesignated futuremonth.
2.
Trang 28The following is a review of the Financial Markets and Products principles designed to address the AIM
statements set forth by GARP This topic is also covered in:
Topic 2
EXAM FOCUS
In thistopic,candidatesshouldfocusontheterminologyoffuturesmarkets,howfuturesdiffer
fromtowards,themechanicsof margindeposits,andtheprocessofmarkingtomarket.Limit
price moves,deliveryoptions, andconvergence ofspot pricestofuturespricesarealso likely
topics Learntheways afuturesposition can be terminatedpriorto contractexpiration
and understand how cashsettlement isaccomplished by thefinal mark tomarketat contract
expiration
exam
AIM21.1:Define and describe the key features ofafuturescontract,including the
AIM21.9: Compareand contrastforwardandfuturescontracts.
Futurescontracts areexchange-traded obligationstobuyorsellacertainamountofan
underlyinggoodat aspecifiedprice and date Theunderlyingassetvariesfrom agricultural
productstostockindices Most futurespositionsare norheldtotakedeliveryof the
underlying good.Instead,theyareclosedout orreversed priorrothesettlementdate
Thepurchaserofafuturescontract issaid tohave gonelongortakenalong,position, while
the seller ofafuturescontract issaidtohavegoneshort or takenashort position For
price.Futurescontractsare used byspeculatorstogain exposuretochangesinthepriceof
theassetunderlyingafuturescontract Ahedger,in contrast,willusefuturescontracts to
reduceexposureto{tricechangesintheasset (i.e.,hedge theirassetpricerisk).Anexample
is awheat farmerwhosells wheatfuturestoreducethe uncertaintyabouttheprice ofwheat
atharvesttime. —
Openinterestisthetotalnumberof longpositions inagiven futurescontract.Italsoequals
the total numberofshort positions inafuturescontract.Anopeninterestof200would
implythatthereare200 short positions in existenceand200longpositionsin existence.
Itispossible,on anygiven day, for the tradingvolumeon a contract tobehigherthan its
openinterest.
TRADING FUTURES CONTRACTS
Toillustrate howafuturescontractiscreated,letsuse a contract ongoldas anexample
Eachcontract represents100troy ouncesand is quotedon aper-ouncebasis.Supposean
investorinstructsabrokertosellonefuturescontract ongold withanApril deliverydate
At about thesametime anotherinvestor instructs abrokerto buyanidenticalfutures
Page27
©2013 Kaplan.Inc.
Trang 29Topic2 J
CrossReference to GARPAssigned Reading- Hull,Chapter2
sell100 ounces ofgoldatthefuturespriceat contractexpiration Thebuyerofthefutures
contracthasalongfutures position and isobligatedtobuy100ouncesof goldatthe
futurespriceatmaturity.They agreeonapriceof$993.60 perounce.Thetwopartiesin
thisexamplehavenoideaofoneanother’sexistencebecause theclearinghouse(discussed inAIM21.4)takes the opposite side of everytransaction.In the futures market thereisalwaysthesamenumberoflongandshort positions Thismeansthat ifalongpositionwins,the
correspondingshort position loses
CHARACTERISTICS SPECIFIEDIN AFUTURES CONTRACT
Futurescontractsaresimilartoforwardcontractsinthat both allowfora transaction torake
placeat afuturedateat apriceagreed upontoday.Thedifference between thetwo isthat
forwardcontracts areprivate,customizedcontracts,while futurestradeonanorganized
exchange and havetermsthatarehighlystandardized.When anewfuturescontractis
-introducedtothemarketplace,thefuturesexchangemustspecifytheexact termsof the
• Qualityoftheunderlyingasset.Whentheunderlyingassetfor thecontractisafinancial
asset,suchasJapaneseyen,the definition of theasset isstraightforward.However,whentheunderlyingassetisacommodity, there may be different levels of quality for thatgoodavailable in themarketplace (e.g., differenttypesofwheat) Thefuturesexchange
stipulatesthequalityofagood that willbeacceptable forsettlingthecontract.
• Contract size.Thecontractsizespecifies thequantityoftheassetthatmustbe delivered
tosettleafuturescontract(e.g.,onegraincontract=5,000 bushels).
• Deliverylocation The exchangespecifiestheplacewhere deliverywill takeplace
* Deliverytime.Futurescontracts arereferred tobythe monthinwhich deliveryistotakeplace (e.g.,-aDecembercorn contract).Somecontracts are notsettledbydeliverybutby
paymentin cash,basedonthedifference between thefutures priceand the market price
atsettlement '
• Price quotationsand ticksize.Theexchange determineshow the price ofa contractwill
be quotedaswellastheminimum pricefluctuationfor thecontracr,which isreferredto
asthe ticksize.Forexample,-grainisquotedindollarsperbushel,and the minimumtick
size is 14centperbushel Sinceagraincontractconsistsof5,000 bushels,theminimum
ticksize is$12.50(= 5,000 x $0.0025)petcontract.
-Dailyprice limits.Theexchangesetsthemaximum pricemovementfora contractduring
aday.For example, wheatcannotmove more than$0.20fromitsclose thepreceding
day,foradailypricelimit of$1,000.Whenacontractmovesdown byitsdaily price
limit, it issaidtobe limit down Whenthecontractmovesup byitspricelimit,itissaid
tobelimit up
• Positionlimits Theexchangesets amaximumnumberofcontractsthataspeculatormayholdinorderto preventspeculatorsfromhavinganundue influenceon the market.Such limits donotapplytohedgers
Trang 30Topic 21
Cross Reference to GARPAssigned Reading—Hull, Chapter 2
FUTURES/SPOT CONVERGENCE
AIM21.2:Explaintheconvergence of futures andspot prices
Thespot(cash) priceofacommodityorfinancialassetisthepricefor immediate delivery
The futures priceisthe price today for deliveryatsome future pointin time (i.e.,the
maturitydate).Thebasis is thedifference between thespotprice and the futuresprice
basis=spotprice—futures price
Asthematuritydatenears,the basisconvergestowardzero.At expiration,thespotprice
mustequal the futurespricebecause thefutures price has become the price todayfor
delivery today,which is the sameasthespot.Arbitragewillforcethepricestobe thesame
Example:Why thp futures pricemustequal*the spot priceatexpiration
/V T ' ,.
Suppose diecurrentSjÿtpricekifsiiverds$4,65*Demom’tratepy.arbitrgge;that
futures-price ofafutures silvercontractthat expires,inone,minutemustequal*
Answer:
'
would be$4.70-$4.65=$0.05.Becausethe4contract maturesin oneminute,
virtuallynorisktothis arbitrage trade -ÿ "
Supposeinsteadthefutures price was$4.61.Nowwewould buy the silver
deliveryof thesilver by paying$4.61,and thensell the silveratthespotprice
Ourprofitis $4.65-$4.61=$O.O4s,0nteagain,thisisa risklessarbitragetn
Therefore,in orderto preventarbitrage,thefutures priceatthematurityofthe cc
mustbe equaltodiespotpricÿof$4(65 '
Marginiscashorhighlyliquid collateral placedin an account toensure thatanytrading
losseswillbemet.Markingtomarketisthe daily procedure of adjusting themarginaccount
balancefordailymovementsinthefuturesprice.Theamountrequiredtoopenafutures
positioniscalledtheinitial margin Themaintenancemarginisthe minimum margin
Page29
©2013 Kaplan, Inc
Trang 31CrossReferencetoGARP Assigned Reading-Hull,Chapter2
accountbalance requiredtoretainthefutures position Whenthe marginaccountbalance
fallsbelow the maintenancemargin, theinvestorgets amargincall,and hemustbringthemarginaccountbacktothe initialmarginamount.Theamount necessary todothisisalliedthe variationmargin
Example: Margin trading
Atthe endof the first day,thelossiscomputedas($99']-$993.6)100=-$260, sowhen
$260depositedinthe,sellers,marginÿaccount.TheBuyers(long)marginaccountbalance
S-lpffl £ afsStU K60)0>'T‘“mar6i'‘aCC°U"'bJ"“f“ tl"!Sh°"P“I‘i“ “
willgeta margincallsincethemarginaccotvntbalatjce is (ess thanthe maintenance
Dependingontheclient,brokersmayrequiretheposting ofabalancein the margin
accountmore thanthemaintenancemarginrequirementsestablishedbyexchanges For
example,hedgersareusually requiredto postsmallermargins thanspeculators.Toensurethat thedaily cash flowsarewithdrawnof contributed appropriately, the exchange hasa
CLEAJRINGHOUSE
AIM21.4: Describe theroleofaclearinghousein futurestransactions
Each exchange hasaclearinghouse Theclearinghouseguaranteesthat tradersinthefutures
marketwillhonortheirobligations.The clearinghousedoesthisbysplittingeach tradeonce
it is madeand actingastheoppositesideofeach position Theclearinghouseacts asthe
buyerto everysellerand thesellertoeverybuyer Bydoingthis,theclearinghouseallowseithersideof thetradeto reversepositionsat afuture datewithouthavingto contacttheothersideof rhe initial trade This allows tradersto enterthemarketknowingthat they
Trang 32Cross Reference to GARPAssignedReading-Hull Chapter 2
counterpartydefaultingsincethecounterparty isnowthe clearinghouse Inthehistory of
U.S futurestrading,theclearinghousehas neverdefaultedonatrade
Theclearinghousehas members that collateralizeit,ensuring thatnodefaultstakeplace All
trades eventually gothroughtheclearinghousemembers,whomusthaveaclearingmargin
postedattheclearinghousein thesamewayaninvestorhasamarginaccountwithabroker
Thisensuresthattheclearinghouseisliquid enoughatalltimestohonorall obligations
imda futuirst.onrrac.rs.
COLLATERALIZATION
AIM 21.5:Describe the role of collateralizationinthe over-the-counter marketand
compareittothe marginingsystem
The over-the-counter(OTC)maiket includes the tradinginall securitiesnotlistedon one
oftheregistered exchanges This marketis subjectto agooddealofcreditrisksincethe
party onthe other side ofanOTCcontractcould default:on itspayments.One wayto
reduce thiscredit riskisbymeansof collateralization Collateralizationisbasicallyamarked
tomarketfeature for theOTCmarket where any lossissettledincashattheendofthe
trading day.A cashpayment ismadetothepartywithapositiveaccountbalance.Thisis
asimilarsystem totradingonmarginwhere the futurestraderneedsto restorefunds ifthe
valueofthecontractdropsbelow die maintenance margin
NORMALANDINVERTEDFUTURESMARKET
AIM21.6:Identifyanddescribethedifferences betweenanormal andinverted
'
futures-market
The settlementpriceisanalogoustotheclosingpriceforastockbut isnotsimplythe price
of the last trade.It-isanaverageoftheprices -ofthe.trades duringthe lastperiodoftrading,
calledthe closingperiod,'whichissetbytheexchange.Thisfeatureofthe settlement price
preventsmanipulation bytraders The settlement priceisusedtomake margincalcularions
attheendof each trading-day
Dependingonthe direction of futuresserdementprices,themarket may be normalor
inverted.Increasingsettlementpricesover timeindicatesanormalmarket Conversely,
decreasing settlementpricesovertimeindicatesaninverted market
Trang 33Topic 2 1
Cross Reference to CARPAssigned Reading-• Huil,Chapter2
THE DELIVERY PROCESS
AIM21.7: Describe themechanics of the deliver)' process andcontrastitwith cashsettlement
There arefourwaystoterminateafuturescontract:
1 Ashortcanterminatethecontractbydeliveringthe goods When the longacceptsthisdelivery, he pays thecontractpricetothe short Thisiscalled delivery The locationfor delivery(forphysicalassets),termsof delivery, and details of exactly whatistobedeliveredareallspecifiedinthenoticeof intentiontodeliverfile Each exchangehas
specificrulesas totheconditionsformakingan intenttodeliver.However,the pricepaidorreceived willbe dictated by thesettlementperiodontheexchange-determined
last tradingdayof thecontract.
2 Inacash-settlementcontract,deliveryisnot anoption.The futuresaccountismarked
tomarketbasedonthesettlementpriceonthe last day oftrading
3 Youmay makea reverse, oroffsetting,tradeinthefutures market Withfutures,theother side ofyourpositionisheld by the clearinghouse—ifyoumake anexactopposite
trade (maturity,quantity,and good)to your currentposition,theclearinghousewillnet
your positionsout,leaving you withazero balance.This ishowmostfuturespositions
aresettled.Thecontractpricecandiffer between thetwo contracts.If you initiallyare
longonecontract a t$970 perounceofgold andsubsequentlysell(i.e„taketheshortpositionin) anidenticalgoldcontractwhenthepriceis$950perounce,$20multiplied
by thenumberofouncesofgold specifiedin thecontractwillbe deductedfromthemargindeposits)inyouraccount.Thesaleofthefuturescontractends the exposureto
futurepricefluctuationsonthefirstcontract.Yourposition has been reversed,orclosed
out,byadosing trade
4 A position mayalso be settled throughanexchange forphysicals.Hereyoufindatraderwithanopposite positiontoyour own anddeliver the goodsand settleup
betweenyourselves,offthefloor of the exchange(i.e.,anex-pittransaction).This is the
sole exceptiontothefederal law thatrequiresthatalltrades takeplaceonthe flooroftheexchange.Youmustthencontacttheclearinghouseand tell themwhathappened
Anexchangefor physicals differsfromadeliveryin that the tradersactually exchange
thegoods,thecontractisnotdosedonthe floorof the exchange,andthetwotradersprivatelynegotiatethetermsof thetransaction.Regular delivery involves onlyone
trader and theclearinghouse
Trang 34Cross Reference to GARP Assigned Reading-Hull,Chapter2
TYPESOFORDERS
AIM 21.8:Defineanddemonstrateanunderstandingof the impact of different
ordertypes,including:market,limit,stop-loss,stop-limit,market-if-touched,
discretionary,time-of-day,open, andfill-or-kill,
There areseveraldifferenttypesof ordersinthemarketplace:
Marketorders areorderstobuyor sellatthebest price available.A discretionary order isa
market orderwherethebrokerhas the optiontodelaytransactionin search ofabetter price
Limitordersareorderstobuyorsellawayfrom thecurrentmarket price.Alimitbuyorder
isplacedbelow thecurrentprice A limit sell orderisplacedabove thecurrentprice.Limit
ordershavea timelimit,suchas instantaneous,oneday,one week,onemonth,orgoodtill
canceled.Limitordersareturnedovertothe specialist by thecommissionbroker
Stop-lossordersareusedto preventlossesorto protectprofits Supposeyou ownastock
currentlyselling for $40 Youareafraidthatitmaydropin price, andifir does,you want
yourbrokertosellit, therebylimitingyourlosses You would placeastoploss sell orderat a
specificprice (e.g.,$35);ifthestock pricedropstothislevel,yourbrokerwillplaceasell
market order.Astop loss buyorderisusuallycombinedwithashort saletolimitlosses If the
stock price risestothe“stop”price, thebrokerenters amarker ordertobuythestock
Variationsontheseordertypesalso exist.Stop-limitorders areacombinationofa stopand
limit order.Thestopprice and limit pricemustbe specified,so that once thestoplevelis
reached, or bettered,theorderwouldturnintoalimit orderandhopefullytransact atthe
limitprice.Market-if-touchedorders, orMil orders, areordersthat-would becomemarket-
-ordersonce aspecifiedpriceisreachedinthemarketplace .
Forthose orders that remainoutstandinguntilthedesignated pricerangeisreached,the
trader makingthe order needstoindicatethetimeperiod for the order(time-of-day order) '
Good-till-canceled(GTC)orders(a.k.a.openorders)areorders thatremain openuntil
theyeithertransact or arecanceled.Apopularmethod of submittingalimit orderis tohave
itautomatically canceledattheendofthetradingdayin which it wassubmitted.Fill-or-kill
ordersmustbeexecuted immediatelyorthetrade willnottake place
REGULATORY,ACCOUNTING,ANDTAXFRAMEWORKS
Regulation
In the UnitedStates,the CommodityFuturesTradingCommission (CFTG)isresponsible
forregulatingfuturesmarkets TheCFTC licenses futures exchangesaswellastraders who
offer futurestradingservicestothe public Italsoapprovesnewfuturescontractsandany
revisionstoexisting futurescontracts.When approvingcontracts,the agencyensuresthat
Inaddition,theCFTCisresponsibleforcommunicatingpricestothepublic,addressing
public complaints,and taking disciplinaryactions againstmembers whoviolatefutures
exchange rules
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©2013Kaplan,Inc.
Trang 35Topic 2 1
CrossReferencelo GARPAssigned Reading-Hull,Chapter2
Otherregulatorybodies that influencethefutures markets includetheNational Futures
Association(NFA),theSecurities andExchangeCommission(SEC),the FederalReserveBoard,and the U.S TreasuryDepartment TheSEC, Fed,andTreasuryDepartmentare
mainly concernedwith howfutures trading impactsspotmarker tradinginstocks andbonds The NFA hasamoreprominentrole by attemptingto preventfraud andensuring
that futures marketsoperateinthe bestinterestsof thepublic Examplesof futures tradingfraud include cornering themarket(i.e.,takingexcessivelong positions whileinfluencing
thesupply ofthe commodityunderlyingthelongfuturescontracts)andfront running
(tradersusing privilegedinformationtotradein theirownaccountsbeforecustomer
accounts).
Accounting
When accounting forchangesinthe market value ofafuturescontract,changesmustbe
recognizedwhen theyoccur Theexceptiontothisaccountingstandardiswhenafutures
fromahedginginstrumentberecognizedin theSameperiodasgains/losses from theasset
beinghedged
Under FAS 133[FinancialAccounting Standard Board(FASB)Statement No.133], thefairmarketvalueof all derivativecontracts mustbe includedon the balance sheet Inaddition
to morepositiontransparency,FAS133 placesstricterguidelineson theuseofhedge
accounting Tousethis accountingmethod, itmustbe shownthat thehedginginstrument
frequentlyandeffectivelyoffsets the intended risk exposure
Taxes
RegardingU.S.taxregulations,differencesariseduetothenatureoftaxablegains/losses
andthe timing of realized gains/losses Forcorporate,taxpayer’s,capital gainsaretaxed
atthesameleveiasordinaryincomeandcapitallossesarerestricted.Fornon-corporate
taxpayers,capitalgainsaretaxedatthesamelevelasordinaryincome,butlong-term
gains(investmentsheldover oneyear)aresubjectto a maximum15%tax rate.Anotherdifferenceisthatcapitallossesaredeductiblefornon-corporate taxpayers.
Fortaxpurposes, futurescontractsareconsidered closed ourattheendofeach year This
givesrisetoa60/40 rulefornon-corporate taxpayerswhere capitalgains/lossesaretreated
as 60%longtermand40% shortterm.Thisrule, however,doesnotapplytohedging
activities.Using futuresforhedgingpurposesmustbe declaredonthesameday the
transactionisentered Gains/lossesonhedgingtransactionsaretaxedatthe samerateas
ordinaryincome.
Trang 36Topic 21
Cross Reference to CARP Assigned Reading- Hull, Chapter 2
KEY CONCEPTS
AIM 21.1
Along(short)futurespositionobligatesthe ownertobuy(sell) theunderlyingasset at a
specifiedpriceanddate.Mostfutures positionsarereversed (orclosedout) asopposedto
satisfyingthecontractby making(ortaking)delivery
AIM21.2
Thespotpriceofacommodityorfinancialasset isthe pricefor immediate delivery The
futurespriceisthe price todayfor deliveryat somefuture pointintime(i.e.,thematurity
date).The basisisthedifferencebetween thespotprice and thefuturesprice As the
futurespricestoberhesame at contractexpiration
AIM21.3
Futuresaretradedonmargin(leveraged):
* Initial margin isthenecessarycollateraltotrade thefutures.
* Maintenance marginistheminimumcollateralamountrequiredto rerain trading
privileges
4 Variation marginisthe collateralamountthatmustbedepositedtoreplenish themargin
accountbacktotheinitial margin
Thefutures marketis azero-sumgamein that theshortslossesarethelongsgains andvice
versa Gains and lossesduetochangesinfuturespricesarecomputedatthe end of each
tradingdayin aprocessknownasmarkingtomarket
AIM 21.4
Theclearinghousemaintainsan orderlyandliquidmarketbyactingasthecounterparty to
eachlongorshortfuturesposition
AIM 21.5
Collateralizationis ameansof reducing credit riskinover-the-counter(OTC) contracts.
AIM 21.6
The futuressettlementpriceis anaverageof rhe prices ofthetradesduringthelast period
oftrading,called the closing period.Itisusedtomake margincalculationsat theendof
eachtrading day.Increasingsettlementpricesover timeindicateanormalmarket,while
decreasingsettlement pricesover timeindicateaninvertedmarket
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Trang 37Cross Reference toGARPAssigned Reading Hull, Chapter 2
AIM 21.7
Ashortcanterminatethe futurescontract bydeliveringthegoods.Whenthelongaccepts
thisdelivery,hepaystheconrractpricetotheshort Thisisknown asthe delivery process
Inacash-settlementcontract,deliveryisnot anoption
AIM21.8Severaldifferenttypesoforders exist inthe marketplace including:market, limit,stop-loss,stop-limit,andmarket-if-rouchedorders Market ordersareorderstobuyorsellatthe bestpriceavailable.Limitordersareorderstobuyorsell awayfromthecurrent market price
Stop-lossordersareusedto preventlossesorto protectprofits
AIM21.9Futurescontracts aresimilartoforwardcontractsin thatbothallowforatransactiontotake
placeat afuturedateat apriceagreedupon today The differencebetween thetwois that
forwardcontracts ateprivate, customizedcontracts,whilefuturestrade onanorganized
exchangeandhavetermsthatarehighlystandardized
Trang 38Whichof thefollowingarecharacteristicsspecifiedbyafuturescontract?
I Assetquality andassetquandty
II, Deliveryarrangementsanddeliverytime
A I only
B II only
C Both I and II
D NeitherInorII
1.
2
An investorentersinto ashortposition in agoldfuturescontractwith thefollowing
characteristics:
* Theinitial marginis $3,000.
• The maintenance margin is$2,250.
If thepricedropsto $1,295 atthe end ofthe first dayand$1,290 atthe endof the
-second day, whichofthefollowingisclosesttothevariationmargin requiredatthe
endofthe secondday?
A $0.
-B $250
- C $500
D $1,000.
Which ofthe’followingitems'arefunctionsof theclearinghouse?
I Determinewhichcontractstrade.'
II Receivemargindepositsfrombrokers
A Ionly
B II only
C Borh1andII
D NeitherInorII
D Alloftheabove
Foradditional Book3,Topic21practice questionssee:
5
Self-TestQuestions:#1(page213)
PastFRMExam Questions:#1—2(page222)
Trang 39Cross Reference to CARPAssignedReading-Hull.Chapter2
CONCEPT CHECKER ANSWERS
B When an investor isobligatedtobuytheunderlyingasset in afuturesposition, it is alongfuturesposition.
1.
2 C Delivery time, assetquality',asset quantity, anddeliveryarrangements are allcharacteristicsspecified by the futurescontract.
3 A Notethat theinvestor in this question has a short position thatprofits frompricedeclines
The short position margin accounthas increasedby $1 ,000 overthetwodays,sothereis no
variationmargin required
•4 B Theclearinghouseacts asbuyerto everysellerand seller to every' buyer, thus virtually
eliminating default risk It alsocollectsmarginpaymentsfrom clearingmembers (brokers).
Determining whichcontractswilltrade is afunctionof the exchange,not theclearinghouse
5 D Allofthese orders requirethatthe pricereach a certain rangebefore being activated.Ifthe
pricenever reaches that range, the order will never beactivated
Trang 40The following is a review of the Financial Markets and Products principles designed to address the AIM
statements set forth byGARP®.This topic is also covered in:
Topic22
EXAM FOCUS
Fururescontracts areused extensivelyforimplementinghedgingstrategies.Thistopic
presentsthe calculationsfordeterminingtheoptimalhedgeratioand showshowto useit
todetermine the numberof futurescontractsnecessarytohedgeaspotmarketexposure
Thistopicalso addressesbasis risk,thechangein therelationship betweenspotprices and
futurespricesover ahedgehorizon.Basis risk arisesbecauseanassetbeing hedgedmaynot
beexacdythesameastheassetunderlyingthefuturescontract.
HEDGING WITH FUTURES
AIM 22.1:Define anddifferentiatebetween shortandlonghedges and identify
appropriateuses
A short hedgeoccurs when thehedgershorts(sells) afuturescontract tohedgeagainsta
price decreaseindie existing longposition.Whenthepriceof thehedgedasset decreases,
the shortfuturespositionrealizesapositivereturn,offsettingthedecline inassetvalue
Therefore,ashorthedgeisappropriatewhen you have along position andexpectpricesto
decline
Along hedgeoccurs when thehedger buysafuturescontract tohedgeagainstanincrease in
the valueoftheassetthat underliesashort position In thiscase,anincrease in thevalue of
the shortedassetwill resultinalosstotheshortseller.Theobjective ofthelonghedgeisto
offset the lossinthe shortpositionwithagain fromthelong futuresposition Alonghedge
isthereforeappropriatewhenyouhaveashort position andexpectpricestorise
Advantages and Disadvantages of Hedging
AIM 22.2:Describetheargumentsforandagainsthedgingandthepotential
impact ofhedgingonfirmprofitability.
The objective ofhedgingwithfuturescontracts is toreduce oreliminatethepriceriskof
an assetoraportfolio.Forexample,afarmerwithalargecorncrop thatwill beharvested
in afewmonthscould waituntiltheendof the growingseasonand sellhis cornatthe
prevailingspotprice, or hecould sellcornfutures and “lockin”the priceof hiscornat
apredetermined rare.Bytakingashort position inacornfuturescontract,thefarmer
eliminates—or ar leastreduces—exposuretofluctuatingcornprices.Thisisanexample ofa
shorthedge,wherethe userlocksin afuture sellingprice
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