/2011.7STUDIESOFINTERNATIONALFINANCE。,,。,,,,。,,,,。,,,。,,,。,、、。:,、;;、;,。、,,。Dunn,McConnell(1981):,,、;,。:,。,,;;;,,。::F832.4:A82/2011.7STUDIESOFINTERNATIONALFINANCE,,Kau,Slawson(2002),Kalotay,etal.(2004),Dunsky,Ho(2007),DeRossi,Vargiolu(2010)。:,“”,。。,,,,(Archer,Ling,1993;Quigley,Order,1990,1995)。Stanton(1995)(explicitcosts),,。,,。。Green、Shoven(1986)(PHM),。,(、、、)。Schwartz,Torous(1989)Green,Shoven(1986),,。Hakim(1997),、、、。,Brennan,Schwartz(1985);Kang,Zenios(1992);Golub,Pohlman(1994)。,、(2002)、、。、(2003),、“”(burnout)。Yongheng,etal.(2005),,;、、。,,。,,。、2005,“2005-1”“2005-1”。CCER,“2005-1”、、、,,。,2006120098。:()(prep,“”):,。。()1.(clr):,,83/2011.7STUDIESOFINTERNATIONALFINANCE。“-2005”,,。2.5(llr):。,。3.(cmr):。,,,;,,。4.(hp):,,,。,,。5.(pt):,,。6.(inc):“”,。,。,、、,。、()(,2005)、、,、,、,2。,,,。,(1),,3~4;,(1)。1JBprep%1.850.541.06clr%5.730.671.41llr5%6.840.477.58cmr%3.2312.213.20cmr_2%3.569.111.39hp6430.31739.882.25pt95.1442.543.91inc421.44253.7041.58D1(1=1,=0)----D3(3=1,=0)----D4(4=1,=0)----184/2011.7STUDIESOFINTERNATIONALFINANCE43()、,、,。,,(),,,。,,,“”,,,;,,,(2)。()3,2006120078;2007820098,,U,,,()。()4,。,,2。、(),。:prept=β0+β1clrt+β2llrt+β3cmrt+β4hpt+β5ptt+β6ptt2+β7inct+β8D1++β9D3+β10D4+εt(1),β0~β10,εt。5%(2)。2、2ADF,,,。,clr、llr,“”;pt2pt,3。pt2,。ptα(α),α2,,α2。(C,T,P)prep(C,0,0)-3.340.02cmr(C,T,0)-5.280.01cmr_2(0,0,0)-2.490.02hp(C,0,0)-3.080.04pt(C,0,1)-4.730.01inc(C,0,0)-5.830.01:C:,T:,P:。85/2011.7STUDIESOFINTERNATIONALFINANCE()31,cmrprep。,,2(cmr_2)1cmr,cmr_2prep,,。121、3、4,———2,,2。:(、),1、2,2,,1,2。,,,4,14(1)。3、423AICSIC,。cmr、cmr_2、cmr_3()AICSIC:0.82、0.61、0.681.27、1.06、1.13。12345c69.81***(10.01)55.01***(10.43)55.53***(10.57)54.95***(10.38)clr+-2.44**-0.84-0.82-0.87-1.98(1.20)(1.12)(1.16)(1.17)(1.15)llr--8.77***-7.49***-7.59***-7.54***-5.63***(2.62)(2.38)(2.41)(2.36)(1.89)cmr+0.07(0.05)cmr_2+0.25***0.25***0.25***0.20**(0.08)(0.08)(0.08)(0.07)hp+1.8E03*1.7E-03*1.7E-03*1.8E-03*1.2E-03(1.1E03)(9.5E-04)(9.6E-04)(9.4E-04)(1.0E-03)pt+0.43***0.32***0.32***0.32***0.34***(0.11)(0.10)(0.10)(0.10)(0.10)pt2--2.6E03***-1.9E-03***-1.9E-03***-1.9E-03***-2.0E-03***(6.2E04)(6.1E-04)(6.2E-04)(6.1E-04)(6.0E-04)inc+-1.9E03-2.2E-03-2.2E-03-2.2E-03\(2.2E03)(1.9E-03)(2.0E-03)(1.9E-03)D1--3.64**-4.60***-4.65***-4.65***-4.62***(1.77)(1.63)(1.64)(1.62)(1.62)D3+4.36**4.28**4.23**4.14***(1.77)(1.60)(1.59)(1.53)inc(-1)×D3+3.7E-03**(1.5E-03)D4+4.25**4.26**4.20**(1.81)(1.60)(1.61)inc(-2)×D4+3.9E-03***4.1E-03**(1.4E-03)(1.5E-03)R20.7140.7680.7620.7700.782R20.6280.6970.6910.700:,*,**,***0.1,0.05,0.01。“\”。86/2011.7STUDIESOFINTERNATIONALFINANCE,3423、4,inc(-1)×d3、inc(-2)×d42D3、D4,3,5%;41%,2D4,,23、4,4。3,24,prepllr,,。hpprep,,LTV,;,,,。pt,pt2。,,,,,,。clrprep,。,1。,(,4,),,,。,incprep,,,,。incprep,incprep,。54,,。()1.,:prept=Xtβ+ψ(inct)+ε′t(2),X=(clr,llr,cmr-2,hp,pt,pt2,D1,D3,inc(-2)×D4),β=(β1,β2,β3,β4,β5,β6,β7,β8,β9)T,ψ(·)。2.(2)。,,,(、,2003)。(2),。(2):E(prept|inct)=E(Xtβ|inct)+ψ(inct)(3)(2)-(3):prept-E(prept|inct)=[Xt-E(Xtβ|inct)]β+ε′t(4)E(Xtβ|inct)E(prept|inct)m1(inct)m2(inct),:β^={nt=1Σ[Xt-m^1(inct)][Xt-m^1(inct)]T}-1{nt=1Σ[Xt-m^1(inct)][prept-m^2(inct)]}(5)prept=prept-Xtβ^(6)prept=ψ(inct)+ε′t(7):ψ^(inct;hn)=eT×(INCT×Σ×INC)-1×INCT×Σ×PREP(8)eT=(1,0),Σ=diag(Khn(inc1-inc),…,Khn(incn-5487/2011.7STUDIESOFINTERNATIONALFINANCEinc)),INC=11,…,inc1-incincn-in!#$%%%%%%%%%&cT,PREP=(prep1,…,prepn)。,K(·),hn(Li,Racine,2007;Racine,Li,2004)。3.35,“”(curseofdimensionality),54,。5,5,“”,。6,63:600(,),,;600900,;900,,。6,,“”,3、4,。75,5。、“2005”,、、、、。,;;,。,“”,,,“”“”,,“”,,4。,,。,,、;,,,。()6788/2011.7STUDIESOFINTERNATIONALFINANCE:[1],.[J].,2003(4).[2].———[M].,2005.[3],.[J].,2002(7).[4],.[M].,2003.[5]Archer,WayneR.,andDavidC.Ling.PricingMortgage-backedSecurities:IntegratingOptimalCallandEmpiricalModelsofPrepayment[J].JournaloftheAmericanRealEstate&UrbanEconomicsAssociation,1993(21):373~404.[6]Brennan,MichaelJ.andEduardoS.Schwartz.DeterminantsofGNMAMortgagePrices[J].Journal:JournaloftheAmericanRealEstate&UrbanEconomicsAssociation,1985(13):209~228.[7]DeRossi,G.andVargiolu,T.OptimalPrepaymentandDefaultRulesforMortgage-backedSecurities[J].DecisionsinEconomicsandFinance,2010(33):23~47.[8]Dunn,KB.andMcConnell,JJ.ValuationofGnmaMortgage-backedSecurities[J].TheJournalofFinance,1981(36):599~616.[9]Dunsky,RobertM.andThomasS.Y.Ho.ValuingFixedRateMortgageLoanswithDefaultandPrepaymentOptions[J].JournalofFixedIncome,2007(16):7~31.[10]Golub,BennettW.andLawrencePohlman.MortgagePrepaymentsandanAnalysisoftheWhartonPrepaymentModel[J].Interfaces,1994(24):80~90.[11]Green,J.andShoven,JB.TheEffectsofInterestRatesonMortgagePrepayments[J].JournalofMoney,Credit&Banking,1986(18):41~59.[12]Hakim,SamR.AutonomousandFinancialMortgagePrepayment[J].JournalofRealEstateResearch,1997(13):1~16.[13]KalotayA.,DeaneY.,andFabozzi,F.J.AnOption-theoreticPrepaymentModelforMortgagesandMortgage-backedSecurities[J].InternationalJournalofTheoretical&AppliedFinance,2004(7):949~978.[14]Kang,P.andStavrosA.Zenios.CompletePrepaymentModelsforMortgage-backedSecurities[J].ManagementScience,1992(38):1665~1685.[15]Kau,JamesB.andSlawsonJr,V.Carlos.Frictions,HeterogeneityandOptimalityinMor