The average annual growth rate isstatisticsRelated concepts, also calledCompound growth rate。stayPopulation forecastIt refers to the average annual growth rate within a certain number of years.Formula:growth rate=[(current period/previous n years) ^ {1/(n-1)} - 1] × 100%
Chinese name
Annual average growth rate (compound annual growth rate)
Average annual growth rate=[N timesRadicalLower (last year/first year)] - 1, N=number of years - 1, the calculation result can only be used to calculate the last year based on the first year, if the intermediate year is calculated, it is not equal to the original value.
I.e. m=
。Where B is the last year and A is the first year.In fact, consider B=A (1+m)n, then it is a process of solving m.
Formula interpretation
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Current period/previous N years
It should be the end of the current year/the end of the previous N years, where the end of the previous N years refers to the end of the last N years excluding the end of the current year, for example, calculating the assets of four years at the end of 2005growth rateThe calculation period should be 2005, 2004, 2003 and 2002, but the end of the first four years should be the end of 2001.bracketsCalculated is the comprehensive growth of N yearsindex, not the growth rate.
^{1/(n-1)}
Is the total asset growth index of N years in parenthesesPrescription, that is, exponential averaging.Because the value in parentheses contains the cumulative growth of N years, which is equivalent toCompound interest calculation, so the square root should be averaged.It should be noted that the square root should be N, not N-1, unless the end of the previous N years is changed to the beginning of the previous N years.In short, the square root must be the same asbracketsCorresponding to the internal comprehensive growth indexNumber of periodsMatch.How to define the formula depends on the user's understanding.
[（ ）^1/(n-1)]-1
Subtract 1 because the comprehensive growth index calculated in parentheses includesbase period1. The average annual growth index is still greater than 1 after the formula is derived. What we need is the average annual growth indexgrowth rateThat is, only the incremental part is examined. Therefore, 1 must be removed from the base period, so 1 must be subtracted.
