MarketCompound annual growth rate
Company Profile

Compound annual growth rate

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. CAGR smooths the effect of volatility of periodic values that can render arithmetic means less meaningful. It is particularly useful to compare growth rates of various data values, such as revenue growth of companies, or of economic values, over time.

Equation
For annual values, CAGR is defined as: :\mathrm{CAGR}(t_0,t_n) = \left( \frac{V(t_n)}{V(t_0)} \right)^\frac{1}{t_n-t_0} - 1 where V(t_0) is the initial value, V(t_n) is the end value, and t_n - t_0 is the number of years. CAGR can also be used to calculate mean annualized growth rates on quarterly or monthly values. The numerator of the exponent would be the value of 4 in the case of quarterly, and 12 in the case of monthly, with the denominator being the number of corresponding periods involved. In practice, CAGR calculations are often performed in Microsoft Excel. A convenient built-in function is =RRI(nper, pv, fv), where nper represents the number of periods, pv denotes the present value (initial investment), and fv represents the future value (final value of the investment). The RRI function (Return Rate on Investment) returns the equivalent constant interest rate per period, effectively matching the CAGR when applied over a specified period.{{cite web |title=How to Calculate CAGR in Excel == Applications ==
Applications
These are some of the common CAGR applications: • Calculating and communicating the mean returns of investment funds • Demonstrating and comparing the performance of investment advisors == See also ==
tickerdossier.comtickerdossier.substack.com