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时间:2019-08-21
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1、InterestRateMarketsChapter5ChapterOutline5.1TypesofRates5.2ZeroRates5.3BondPricing5.4Determiningzerorates5.5Forwardrates5.6Forwardrateagreements5.7Theoriesoftermstructure5.8DaycountconventionsChapterOutline5.9Quotations5.10TreasuryBondFutures5.11Eurodollarfutures5.12TheLIBORzerocurve5
2、.13Duration5.14Duration-basedhedgingstrategies5.1TypesofRatesTreasuryratesLIBORratesReporates5.2ZeroRatesAzerorate(orspotrate),formaturityTistherateofinterestearnedonaninvestmentthatprovidesapayoffonlyattimeTExample(Table5.1,page95)5.3BondPricingTocalculatethecashpriceofabondwediscoun
3、teachcashflowattheappropriatezerorateInourexample,thetheoreticalpriceofatwo-yearbondprovidinga6%couponsemiannuallyisBondYieldThebondyieldisthediscountratethatmakesthepresentvalueofthecashflowsonthebondequaltothemarketpriceofthebond.akaYTMSupposethatthemarketpriceofthebondinourexamplee
4、qualsitstheoreticalpriceof98.39Thebondyieldisgivenbysolvingtogety=0.0676or6.76%.ParYieldTheparyieldforacertainmaturityisthecouponratethatcausesthebondpricetoequalitsfacevalue.InourexamplewesolveParYieldcontinuedIngeneralifmisthenumberofcouponpaymentsperyear,disthepresentvalueof$1recei
5、vedatmaturityandAisthepresentvalueofanannuityof$1oneachcoupondate5.4DeterminingTreasuryZeroRatesTreasuryzeroratescanbecalculatedfromthepricesofinstrumentsthattrade.Onewaytodothisisthebootstrapmethod.Toseehowthisworks,considerthefollowingexample:SampleDataforDeterminingtheZeroCurve(Tab
6、le5.2,page97)BondTimetoAnnualBondPrincipalMaturityCouponPrice(dollars)(years)(dollars)(dollars)1000.25097.51000.50094.91001.00090.01001.50896.01002.0012101.6Halfthestatedcouponispaidevery6months.Anamount2.5canbeearnedon97.5during3months.The3-monthrateis4times2.5/97.5or10.256%withquart
7、erlycompoundingThisis10.127%withcontinuouscompoundingTheBootstrappingtheZeroCurveSimilarlythe6monthand1yearratesare10.469%and10.536%withcontinuouscompoundingBondTimetoAnnualBondPrincipalMaturityCouponPrice(dollars)(years)(dollars)(dollars)1000.25097.51000.50094.91001.00090.01001.50896
8、.0100
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