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CHAPTER1

productsandmarkets

CHAPTER1

productsandmarketsInthisChapterthetimevalueofmoneyanintroductiontoequities,commodities,currenciesandindicesfixedandfloatinginterestratesfuturesandforwardsno-arbitrage,oneofthemainbuildingblocksoffinancetheoryInthisChapterThesimplestconceptinfinanceisthatofthetimevalueofmoney;$1todayisworthmorethan$1inayear’stime.Thisisbecauseofallthethingswecandowith$1overthenextyear.ThesimplestconceptinfinancSimpleinterestiswhentheinterestyoureceiveisbasedonlyontheamountyouinvestinitially,whereascompoundinterestiswhenyoualsogetinterestonyourinterest.

Compoundinterestisthemaincaseofrelevance.Andcompoundinterestcomesintwoforms,discretelycompoundedandcontinuouslycompounded.SimpleinterestiswhentheinSimpleinterest:discretelycompounded

continuouslycompounded.Simpleinterest:EQUITIES:Themostbasicoffinancialinstrumentsistheequity,stockorshare.Thisistheownershipofasmallpieceofacompany.EQUITIES:Thebehaviorofthequotedpricesofstocksisfarfrombeingpredictable.Ifwecouldpredictthebehaviorofstockpricesinthefuturethenwecouldbecomeveryrich.Althoughmanypeoplehaveclaimedtobeabletopredictpriceswithvaryingdegreesofaccuracy,noonehasyetmadeacompletelyconvincingcase.ThebehaviorofthequotedpriInthisbookIamgoingtotakethepointofviewthatpriceshavealargeelementofrandomness.Thisdoesnotmeanthatwecannotmodelstockprices,butitdoesmeanthatthemodelingmustbedoneinaprobabilisticsense.InthisbookIamgoingtotakOneofthesimplestrandomprocessesisthetossingofacoin.問題1:用扔硬幣的方式模擬股價運動。OneofthesimplestrandomproTotheaverageinvestorthevalueinholdingthestockcomesfromthedividendsandanygrowthinthestock’svalue.TotheaverageinvestorthevaCOMMODITIES:Commoditiesareusuallyrawproductssuchaspreciousmetals,oil,foodproductsetc.The

pricesoftheseproductsareunpredictablebutoftenshowseasonaleffects.Scarcityofthe

productresultsinhigherprices.Commoditiesareusuallytradedbypeoplewhohavenoneed

oftherawmaterial.COMMODITIES:CURRENCIES:Anotherfinancialquantityweshalldiscussistheexchangerate,therateatwhichonecurrency

canbeexchangedforanother.Thisistheworldofforeignexchange,orForexorFXforshort.

Somecurrenciesarepeggedtooneanother,andothersareallowedtofloatfreely.CURRENCIES:Althoughthefluctuationinexchangeratesis

unpredictable,thereisalinkbetweenexchange

ratesandtheinterestratesinthetwocountries.Iftheinterestrateondollarsisraisedwhilethe

interestrateonpoundssterlingstaysfixedwewouldexpecttoseesterlingdepreciatingagainst

thedollarforawhile.Centralbankscanuseinterestratesasatoolformanipulatingexchange

rates,butonlytoadegree.AlthoughthefluctuationinexINDICES:Formeasuringhowthestockmarket/economyisdoingasawhole,therehavebeendeveloped

thestockmarketindices.Atypicalindexismadeupfromtheweightedsumofaselectionor

basketofrepresentativestocks.INDICES:FIXED-INCOMESECURITIES:Therearetwotypesofinterestpayments,fixedandfloating,whichcanbeseeninmanyfinancialinstruments.FIXED-INCOMESECURITIES:INFLATION-PROOFBONDS:ArecentadditiontothelistofbondsissuedbytheUSgovernmentistheindex-linkedbond.ThesehavebeenaroundintheUKsince1981,andhaveprovidedaverysuccessfulwayofensuringthatincomeisnoterodedbyinflation.INFLATION-PROOFBONDS:IntheUKinflationismeasuredbytheRetailPriceIndexorRPI.Thisindexisameasureofyear-on-yearinflation,usinga‘basket’ofgoodsandservicesincludingmortgageinterestpayments.Theindexispublishedmonthly.IntheUStheinflationindexistheConsumerPriceIndex(CPI).IntheUKinflationismeasureFORWARDSANDFUTURES:Aforwardcontractisanagreementwhereonepartypromisestobuyanassetfromanotherpartyatsomespecifiedtimeinthefutureandatsomespecifiedprice.Nomoneychangeshandsuntilthedeliverydateormaturityofthecontract.Thetermsofthecontractmakeitanobligationtobuytheassetatthedeliverydate,thereisnochoiceinthematter.Theassetcouldbeastock,acommodityoracurrency.FORWARDSANDFUTURES:FORWARDSANDFUTURES:Afuturescontractisverysimilartoaforwardcontract.Futurescontractsareusuallytradedthroughanexchange,whichstandardizesthetermsofthecontracts.Theprofitorlossfromthefuturespositioniscalculatedeverydayandthechangeinthisvalueispaidfrom

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