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Introductory+Econometrics+for+Finance习题答案2.doc

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SolutionstotheReviewQuestionsattheEndofChapter41. .Notethatwehavenotchangedanythingsubstantialbetweenthesemodelsinthesensethatthesecondmodelisjustare-parameterisation(rearrangement)ofthefirst,wherewehavesubtractedyt-1frombothsidesoftheequation.(i),thedependentvariableisnowthechangeiny:whereisthefittedvalueineachcase(notethatwedonotneedatthisstagetoassumetheyarethesame).parethisformulationwiththeonewecalculatedforthefirstmodel,wecanseethattheresidualsareexactlythesameforthetwomodels,withand(i=1,2,3).Henceiftheresidualsarethesame,,sinceoneisjustarearrangementoftheother.(ii)AsforR2,recallhowwecalculateR2:(thedenominator)haschanged,thenthevalueofR2musthavealsochangedasaconsequenceofchangingthedependentvariable.(iii)Bythesamelogic,sincethevalueoftheadjustedR2isjustanalgebraicmodificationofR2itself,(1)(2)(i),veryunlikelyeventthatthee

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