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This template calculates the per annum compound growth rate given two pairs of years and populations (or other time periods and units) using:
Compound annual growth rate (CAGR) is a business, economics and investing term representing the mean annualized growth rate for compounding values over a given time period. [ 1 ] [ 2 ] CAGR smoothes the effect of volatility of periodic values that can render arithmetic means less meaningful.
This template quickly calculates the population growth rate given two pairs of years and populations using the formula from Population growth:
= the value expected from the growth formulas over the next 7 to 10 years = trailing twelve months earnings per share = P/E base for a no-growth company = reasonably expected 7 to 10 year growth rate (see Sustainable growth rate § From a financial perspective)
In the study of age-structured population growth, probably one of the most important equations is the Euler–Lotka equation.Based on the age demographic of females in the population and female births (since in many cases it is the females that are more limited in the ability to reproduce), this equation allows for an estimation of how a population is growing.
Compounding growth over multiple periods. For example, if a company achieves 30% growth in one year, but its results remain unchanged over the two subsequent years, this would not be the same as 10% growth in each of three years. CAGR, the compound annual growth rate, addresses this issue. [1]
To ensure the financial health of both you and your business at any stage of growth, Brittney Suttle, CPA and Owner of Knies & Co. Accounting, recommended the “Modified Profit First Method ...
When calculating or discussing relative growth rate, it is important to pay attention to the units of time being considered. [2] For example, if an initial population of S 0 bacteria doubles every twenty minutes, then at time interval it is given by solving the equation: