Lecture 7 - Futures Markets
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Transcript of Lecture 7 - Futures Markets
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FuturesMarkets
FNCE30007DerivativeSecurities/Lecture7
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Schedule
2
IntroductiontoOptions
PropertiesofStockOptions
TheBinomialModel
TheBlackScholes MertonModel
DividendsandOptionsonOther
InstrumentsTheGreeksFuturesMarkets
HedgingwithFuturesandForwards
ForwardandFuturesPrices FuturesOptions Swaps
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Outlineandreadings
3
Outline Futuresandforwardcontracts Futurescontractspecifications Clearinghouse Openingandclosingafuturesposition Relationshipbetweenfuturespriceandspotprice Marginsandmarkingtomarket Openinterest FXquotes
Readings Hull,7th/8th ed.,chapter2
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FuturesandForwardContracts
4
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Futuresandforwardcontracts
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Futuresandforwardcontractsareagreementstobuyorsellassetsatacertaintimeinthefutureforapricethatisfixedtoday.
Futurescontractsaresubjecttoadailysettlementofgainsandlossesandguaranteedagainsttheriskthateitherpartymightdefault.
Futurescontractsaredistinguishedfromforwardcontractsbecausefuturesaretradedonorganizedexchanges. Forwardcontractsareprivatecontractsnegotiatedbetweeninvestors.
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Futuresandforwardcontracts
6
Thereisnodailysettlement(unlessacollateralizationagreementrequiresit)forforwardcontracts.Attheendofthelifeofthecontractonepartybuystheassetfortheagreedpricefromtheotherparty.
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Futurescontractsvs.forwardcontracts
Futures Forwards
7
Tradedonanexchange
Standardized Rangeofdeliverydates..
Settleddaily Usuallyclosedoutpriortomaturity
Virtuallynocreditrisk
Privatecontractbetweentwoparties
Notstandardized Usuallyonespecifieddeliverydate
Settledatendofcontract Deliveryorfinalsettlementusual
Somecreditrisk
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WhyTradeFuturesContracts?
8
Thereareusuallythreemotivationsfortradingfuturescontracts: Atradermaybeseekingtospeculateonthepriceoftheunderlyingasset effectivelybettingthatthepricewillgoupordown.
Atradermaybeseekingtohedgeorreducetheriskhefacesfromfuturemovementsinthepriceoftheunderlyingasset.Suchtraderscanusefuturestofixthefuturepriceorsalespriceoftheunderlyingasset.
Thereisamathematicalrelationshipbetweenthepriceofafuturescontractandthepriceoftheunderlyingasset.Tradersknownasarbitrageursseektoprofitfromdiscrepanciesinthepriceoffuturescontractinordertolockinaguaranteedprofit.
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FuturesContractSpecifications
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Contractspecifications
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Thespecificationsoffuturescontractstradedonanyfuturesexchangearestandardized,inthesensethattheyarethesameacrossallfuturestransactions.
Allelementsoffuturescontracts theunderlyingasset,thequantityandthequalityoftheunderlyingasset,deliveryarrangements,deliverydate,pricelimits,positionlimits,andthewayinwhichfuturespricesarequoted areallsetbytheexchange. However,thepricesatwhichfuturescontractstradearedeterminedbytheforcesofsupplyanddemandforfuturescontracts.
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Contractspecifications
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Underlyingasset:TheSFEhascontractslistedonmanydifferentunderlyingassets.Thesearemainly:interestratefutures,stockindexfutures,commodityfutures,cattlefutures,andelectricityfutures.
Contractsize:Thesizeofafuturescontractistheunitsoftheunderlyingassetonwhichthecontractisbased.
Settlementordeliveryarrangements: Notallcontractsrequiretheassetunderlyingthefuturescontracttobephysicallyboughtorsold.Somefuturescontractsarecashsettled.
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Contractspecifications
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Settlementordeliverydate: Afuturescontractistypicallyidentifiedbyitssettlementordeliverymonth.Thesettlementmonthisthedateonwhichtheassetunderlyingthecommoditycanbedelivered(inthecaseofcashsettledfutures,thedateonwhichtheprofit/lossonthecontractiscalculatedandpaid/incurredbythebuyerorseller).
Pricelimits: Formostcontractsdailypricemovementlimitsarelimitedbytheexchange.Tradingishaltedforthedayifthecontractislimituporlimitdown.
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Contractspecifications
13
Positionlimits: Positionlimitsarethemaximumnumberofcontractsthataspeculatormayhold.
PriceQuotations: Thewayinwhichthepriceofafuturescontractisquotedvariesconsiderably.Thequoteiseffectivelyusedtodeterminethepricethatmustbepaidforthetransactionintheunderlyingassetonthedeliverydate.Itisalsousedtocalculatethevalueofacontractthroughtime,andtheprofitorlossontheposition.
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Contractspecifications
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90DayBABFutures
10YearBondFutures 3YearBondFutures SFESPI200IndexFutures
Code IR XT YT AP
ContractSize $1million $100,000 $100,000 $25xIndex
Quotations 100 yield 100 yield 100 yield Indexpoints
MinimumTick 0.01% 0.005% 0.01% 1point/$25
ContractValue Pricex$25
SettlementMonths MJSD MJSD MJSD MJSD
SettlementDay 12pm2nd Fri Thebusinessdayfollowingthelastpermitteddayoftrading.
Thefirstbusinessdayafterexpiry.
SettlementPrice Meanyieldof10dealerquotesat9:45,10:30and11:15ontheexpirydayexcludingtwohighestandlowestones.
S&P/ASX200Index
TradingHours 8:28am 4:30pmand5:08pm 7:00am(USdaylightsavingtime)8:28am 4:30pmand5:08pm 7:30am(USnondaylightsavingtime)
9:50am 4:30pmand5:10pm 7:00am(USdaylightsavingtime)
Settlement Physical Cash Cash Cash
OptionsonFutures Yes Yes Yes Yes
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Example:SPI200IndexFutures
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TheSFESPI200contracttracksthepricefluctuationsoftheASX200index.
Supposethataninvestorthinksthatthestockmarketwillgoupoverthecomingweeks.
Assumethatthecontractcurrentlytradesat5,500.Eachpointmoveinthefuturescontractisworth$25,sofrom5,500to5,501representsaprofitof$25forsomeonewhobuysacontract.Amovefrom5,500to5,499representsalossof$25percontractforsomeonewhobuysacontract.
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Example:SPI200IndexFutures
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Imaginethatafterafewweeks,thestockmarketdoesgoupandtheSFESPI200contractnowtradesat5,550.
Theinvestordecidestosellthecontractandtaketheprofit.Ifhesellsat5,550,hewillhavemade50pointsprofitwhichisequalto$1,250(50x$25).
Ifthestockmarketgoesdownandthecontracttradesat5,480,thenthelossoftheinvestoris$500(20x$25).
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Clearinghouse
17
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Clearinghouse
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Aclearinghouseisanadjunctoftheexchangeandactsasanintermediaryinallfuturestransactions.
Tradesareexecutedinanexchangewherethebuyerandsellermeetthroughbrokers.
Afteratradeiscleared,theclearinghousebecomesasellertothebuyerandabuyertotheseller.
Theclearinghouseguaranteestheperformanceofthepartiestoeachtransaction.
Theclearinghousekeepstrackofallthetransactionsthattakeplaceduringadaysothatitcancalculatethenetpositionofeachofitsmembers.
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Howtoopen/closeaposition
19
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Tradingonthefuturesexchange
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Toopenafuturesposition,youonlyneedtocallyourbrokertoinstructhim/hertobuyaparticularcontract.
Contractsarereferredbytheirdeliverymonths. Therefore,youwouldprobablyspecifythecontractasMayoilfutures.
Alargemajorityoffuturescontractsdontleadtodelivery. Deliverymightbeinconvenientforsomeinvestors(i.e.,speculators).
Deliverycanbequiteexpensiveinsomecases(i.e.,storagecosts).
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Tradingonthefuturesexchange
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Tocloseaposition,aninvestorentersintoanoppositetradetotheoriginalonethatopenedtheposition. Aninvestorwhobuys fiveOctobercornfuturescontractsonJune15cancloseoutthepositiononSeptember20bysellingfiveOctobercornfuturescontracts.
Aninvestorwhosells fiveOctobercornfuturescontractsonJune15cancloseoutthepositiononSeptember20bybuyingfiveOctobercornfuturescontracts.
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Tradingonthefuturesexchange
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Ifafuturescontractisnotclosedoutbeforematurity,itisusuallysettledbydeliveringtheassetsunderlyingthecontract.Whentherearealternativesaboutwhatisdelivered,whereitisdelivered,andwhenitisdelivered,thepartywiththeshortpositionchooses.
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Tradingonthefuturesexchange
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TraderA TraderBExchangeTraderAsellsat$92.50
TraderBbuysat$92.50
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Tradingonthefuturesexchange
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TraderA TraderBExchange
TraderC
TraderApreviouslysoldat$92.50
TraderBpreviouslyboughtat$92.50
TraderAbuysat$93
TraderCsellsat$93
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Tradingonthefuturesexchange
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TraderBExchange
TraderC
TraderAfirstsellsat$92.50
TraderBpreviouslyboughtat$92.50
TraderAthenbuysat$93
TraderCsellsat$93
Loss:$0.50
TraderAslossisBsgain.
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ConvergenceofPrices
26
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Convergenceoffuturespricetospotprice
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Asthedeliverymonthofafuturescontractapproaches,thefuturespriceconvergestothespotpriceoftheunderlyingasset.
Otherwise,therewillbeanarbitrageopportunity. Letsassumethatthefuturespriceisabovethespotpriceduringthedeliveryperiod(FT >ST). Theprincipleistoselltheovervaluedsecurityandbuytheundervaluedone.
Inthiscase,investorssell(short)afuturescontract,buytheasset,andmakethedelivery.
Asinvestorsdothis,futurespricewillcomedownandtheunderlyingassetpricewillgoup,untilthepricesareveryclosetoeachother.
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Convergenceoffuturespricetospotprice
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SPI200December2008Futuresvs.S&P/ASX200
SPI200Futures S&P/ASX200
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Margins
29
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Margins
30
Thereisatleastoneriskwhentwoinvestorsenterinatradewithoutanexchange:defaultrisk.
Oneofthekeyrolesoftheexchangesistoorganizetradingsothatdefaultriskisavoided.
Whenatradertakesapositioninafuturescontract,heisrequiredtodepositasumofmoneywithhisbrokerknownasmargin.
Inturn,thebrokerdepositsallorpartofthismoneywiththeclearinghouseoftheexchange.
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Margins
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TheSFEsclearinghousepaysinterestonmarginsdepositedwithitroughlyequivalenttothecashrate. However,theclearinghousekeepsaround0.50percentofit.
Thebalanceinthemarginaccountisadjustedtoreflectdailysettlement(markingtomarket).
Brokersalsohaveamarginingsysteminplacewhichdiffersslightlyfromtheexchanges. Theymayindeeddemandlargermarginsfromtheirclientsthantheminimumrequiredbytheexchange.
Themarginislikeasecuritydeposit.Itprotectsthebuyer(seller)fromlosses,incasetheseller(buyer)defaultsonhisobligationsunderafuturescontract.
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Markingtomarket
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Everymarketparticipantisinspectedattheendofeachtradingday.
Thesettlementpriceofatradingdayisbenchmarkedagainstthatofthepreviousday.
Pendingonthetwopricesandthepositionitself,eitheragainoralossisincurred.
Fundsarethendepositedintoortakenoutofthemarginaccountcorrespondingly.
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Example:Markingtomarket
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Aninvestortakesalongpositionin15OctobercornfuturescontractsonJune15. Contractsizeis100bushels. Futurespriceis$2.00bushel. Marginrequirementis$200/contract($3,000intotal). Maintenancemarginis$180/contract($2,700intotal).
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Example:Markingtomarket
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Day FuturesPrice
DailyGain(Loss)
CumulativeGain(Loss)
MarginAccountBalance
MarginCall
NewMarginAccountBalance
15Jun $2.00 $3,000
15Jun $2.15 $225 $225 $3,225
16Jun $2.05 $150 $75 $3,075
17Jun $1.95 $150 $75 $2,925
18Jun $1.65 $450 $525 $2,475 $525 =$3,000
19Jun $1.42 $345 $870 $2,655 $345 =$3,000
20Jun $1.82 $600 $270 $3,600
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OpenInterest
35
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Readingpriceinformation
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Open:Pricerecordedwhenafuturescontractstartstrading High:Thehighestpricerecordedduringtheday Low:Thelowestpricerecordedduringtheday Last:Thelasttradedpriceduringtheday Settlement:Thedailysettlementpricedeclaredbytheexchangeatwhichall
contractsinthatcontractaremarkedtomarket.Thisusuallydeterminedasthemidpointoftheclosingbidandofferinthemarketandmaybedifferentfromthelasttradedprice.
Expiry Open High Low Last Sett SettChg OpenInt
OpenInt Chg
Volume
Jun2008 3,380.0 3,394.0 3,380.0 3,388.0 3,389.0 19.0 154,892 672 10,479
Sep2008 3,395.0 3,395.0 3,395.0 3,395.0 3,397.0 19.0 3,639 1
Dec2008 3,405.0 3,420.0 3,405.0 3,411.0 3,412.0 19.0 2,509 72 286
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OpenInterest
37
SettlementChange:Thesettlementchangeisthedifferencebetweenyesterdaysandtodayssettlementprice.
OpenInterest:Thetotalnumberoffuturescontractsenteredintoaparticulardeliverymonthorfuturesmarketwhichhavenotbeenliquidatedbyanoffsettingtransactionorbyactualphysicaldelivery.
OpenInterestChange:Thenumberofnetnewpositionsinthemarket.
Volume:Thenumberofpurchasesandsalesoffuturescontractsduringaspecifiedperiod.
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OpenInterest
38
Questionstoconsider: Whenanewtradeiscompletedwhatarethepossibleeffectsontheopeninterest?
Canthevolumeoftradinginadaybegreaterthantheopeninterest?
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Example:OpenInterest
39
Trader1 Trader2 Trader3 Trader4 Trader5 OpenInterest
Long Short
Long Short
Long Short
Long Short
Short Long
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ForeignExchangeQuotes
40
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Foreignexchangequotes
41
Directquotation: Ifquotesaregivenusingacountryshomecurrencyasthepricecurrency(fromthecountrysperspective). 0.574744=$1intheUK
Indirectquotation: Ifquotesaregivenusingcountryshomecurrencyastheunitcurrency. $1.73990=1intheUK.
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Foreignexchangequotes
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FuturesexchangeratesarequotedasthenumberofUSDperunitofforeigncurrency 0.9050USDperCAD indirectquotation 0.9315USDperAUD indirectquotation
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Foreignexchangequotes
43
Forwardexchangeratesarequotedinthesamewayasspotexchangerates. ThismeansthatGBP,EUR,AUD,andNZDareUSDperunitofforeigncurrency 0.9315USDperAUD indirectquotation
Othercurrencies(e.g.,CADandJPY)arequotedasunitsoftheforeigncurrencyperUSD.
1.1049CADperUSD directquotation