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1、東北大學(xué)碩士學(xué)位論文AbstractAThree.FactorAffineTermStructureModelofInterestRatesanditsApplicationAbstractTheproblemofthetermstructureofinterestratesisabouttherelationbetweeninstantaneousratesandmaturities.Itplaysallimportantroleinbondspricing,analysisandriskmanagement.Withthei
2、ssuancevolumeofgovernmentbondsincreasinginrecentyears,therehasachievedagreatdealofdevelopmentsinChinesebondmarkets.Thenthetasktoestablishandstudythetermstructureofinterestratesinourcountrybecomesmoreandmoreimportant.Inthispaper,athree-factoraffinetermstructureofinter
3、estrateshasbeenestablishedtoanalyzedomesticbondsmarketsusingdatafromShanghaistockexchange.Themaintaskisthat.(1)Thepreviousresearchesonthetermstructureofinterestrateshavebeensummarizedandreviewed.It’spointedthatthetheoryofaffinetermstructuremodelsofinterestratesisahot
4、topicUptonow.(2)Thetheoriesoftermstructurehavebeenintroduced,includingstatictermstructureanddynamictermstructure.Theemphasisisputonthetheoryofaffinemodels.(3)Domesticstatictermstructurehasbeenestablished.B·formsplinemethodisused,differentfromothermethodslikeNelson—Si
5、egelmethodusedbyotherscholars,becausetheliteratureshowsthatB·formsplinemethodissuperiortoothermethods.(4)Domesticdynamictermstructurehasbeenestablished.Usingtheinstantaneousinterestratesforoneyear,threeyears,fiveyears,sevenyearsandtenyearscomputedfromthestatictermstm
6、ctureaboveandtheKalmanfilterandmaximumlikelihoodmethods,athree.factoraffinemodelofourcountryhasbeenestablished.Theresultssuggestthattheestimatedparametersfromthethree—factoraffinemodelfitsmostlythepropertiesofrealinterestratesbehavior,butgreatere玎0rsexistbetweenthees
7、timatedtermstructureandimpliedtermstructure.Keywords:thetermstructureofinterestrates;three—factoraffinemodel;B-formsplineKalmanfilter—nl-獨(dú)創(chuàng)性聲明本人聲明,所呈交的學(xué)位論文是在導(dǎo)師的指導(dǎo)下完成的。論文中取得的研究成果除加以標(biāo)注和致謝的地方外,不包含其他人己經(jīng)發(fā)表或撰寫(xiě)過(guò)的研究成果,也不包括本人為獲得其他學(xué)位而使用過(guò)的材料。與我一同工作的同志對(duì)本研究所做的任何貢獻(xiàn)均己在論文中作了明確的說(shuō)明并表示
8、謝意。學(xué)位論文作者簽名:馮央菇日期:學(xué)位論文版權(quán)使用授權(quán)書(shū)本學(xué)位論文作者和指導(dǎo)教師完全了解東北大學(xué)有關(guān)保留、使用學(xué)位論文的規(guī)定:即學(xué)校有權(quán)保留并向國(guó)家有關(guān)部門或機(jī)構(gòu)送交論文的復(fù)印件和磁盤,允許論文被查閱和借閱。本人同意東北大學(xué)可以將學(xué)位論文的全部或部分內(nèi)容編入有