Laskentakaava
Annualaveragegrowthrate=[N kertaa allemerkin (viime vuosi/ensimmäinen vuosi)]-1,N=vuosien lukumäärä-1,laskettua tulosta voidaan soveltaa vain viime vuoden ensimmäiseen vuoteen, joskeskivuosi on laskettu, onalkuperäinen arvo.
Thatism=.WhereBisthelastyearandAisthefirstyear.Infact,considerB=A(1+m)n,thenitisaprocessofsolvingm.
Kaavan selitys
Nykyinen kausi/edellisetN vuotta
Itshouldbetheendofthecurrentyear/previousNyears,where,beforeTheendofyearNreferstotheendoftheNthyearfromthebottomofthecurrentyear.Forexample,tocalculatethefour-yearassetgrowthrateattheendof2005,thecalculationperiodshouldbe2005,2004,2003,and2002,buttheendofthefirstfouryearsshouldbe2001Theendoftheyear.ThebracketscalculatethecomprehensivegrowthindexforNyears,notthegrowthrate.
^{1/(n-1)}
isthesquarerootoftheN-yeartotalassetgrowthindexinparentheses,thatis,indexaveraging.BecausethevalueinbracketscontainsthecumulativegrowthofNyears,whichisequivalenttocompoundinterestcalculation,itisnecessarytosquareandaverage.ItshouldbenotedthatthenumberofsquarerootsshouldbeN,notN-1,unlesstheendofthepreviousNyearsischangedtothebeginningofthepreviousNyears.Inshort,thenumberofsquarerootsmustmatchthenumberofperiodscorrespondingtothecomprehensivegrowthindexinparentheses.Howtodefinetheformulacanbeunderstoodbytheuser.
[()^1/(n-1)]-1
Subtract1becausethecomprehensivegrowthindexcalculatedinbracketsincludesthebaseperiodAfterthesquarerootistheaverageannualgrowthindex,itisstillgreaterthan1,andwhatweneedistheaverageannualgrowthrate,thatis,onlytheincrementalpartisinspected.Therefore,1mustberemovedfromthebaseperiod,so1mustbesubtracted.