= ((FV/PV)^(1/N))-1
where:
- PV equals the value today (present value).
- FV equals the value at the end of the time period (future value).
- N equals the total number of periods.
Keep in mind that the rate is for 1 period; therefore, for 10 years, use N=10 to obtain the annual rate, or use N=120 (10*12) to obtain the monthly rate.
Example
To find the annual rate of interest accrued by $1000.00 invested today with an expected yield of $5000.00 in 10 years, use the following function:
= ((5000/1000)^(1/10))-1 = 17.46%
This means that an interest rate of 17.46% compounded annually is required to yield $5000.00 in 10 years from an initial investment of
$1000.00.