## Number Of Period For Present Value And Future Valu

The formula for solving for the number of periods shown at the top of this page is used to calculate the length of time required for a single cash flow(present value) to reach a certain amount(future value) based on the time value of money. In other words, this formula is used to calculate the length of time a present value would need to reach the future value, given a certain interest rate.

## $$\frac{\mathrm{Log}\left(\frac{f}{p}\right)}{\mathrm{Log}(1+r)}$$

Here,f=future value,p=present value,r=rate per period.

ENTER THE VARIABLES TO BE USED IN THE FORMULA