**Geometric Rate** **Geometric Rate**

is geometric meanWhen the return or growth amount is compounded the investor needs to use the geometric mean to calculate the final value of the investment Case example an investor is offered two different investment options The first option is a 20 000 initial deposit with a 3 interest rate for each year over 25 years **Geometric Rate** explorable Research StatisticsGeometric Mean 1 3276 If we find the geometric mean of 1 2 1 3 and 1 5 we get 1 3276 This should be interpreted as the mean rate of growth of the bacteria over the period of 3 hours which means if the strain of bacteria grew by 32 76 uniformly over the 3 hour period then starting with 100 bacteria it would reach 234 bacteria in 3 hours financeformulas Geometric Mean Return htmlThe geometric mean return formula can also be used to break down the effective rate per period of the holding period return The holding period return is the total return over multiple periods Example of the Geometric Mean Return Formula

09 2009 Arithmetic Rate increases or reduces at a constant rate WARNING The answers above are not accurate They are describing an Exponential Rate An Exponential Rate is always a Geometric Rate but a Geometric Rate is NOT always an Exponential Rate Incidentally the same can be said about an Arithmetic Rate Status ResolvedAnswers 6 **Geometric Rate** financeformulas Geometric Mean Return htmlThe geometric mean return formula can also be used to break down the effective rate per period of the holding period return The holding period return is the total return over multiple periods Example of the Geometric Mean Return Formula

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