# Periods Command

From GeoGebra Manual

- Periods[ <Rate>, <Payment>, <Present Value>, <Future Value (optional)>, <Type (optional)> ]
- Returns the number of periods for an annuity based on periodic, fixed payments and a fixed interest rate.

**<Rate>**Interest rate per period.**<Payment>**The amount paid in each period.**<Present Value>**Total amount that a series of future payments is worth now.**<Future Value (optional)>**A cash balance you want to attain after the last payment. If you do not enter a future value, it is assumed to be 0.**<Type (optional)>**Indicates when payments are due. If you do not enter a value or you enter 0 the payment is due at the end of the period. If you enter 1 it is due at the beginning of the period.

**Example:**`Periods[10%/12, -200, -400, 10000]`

yields a number of payments of 39.98.`Periods[10%/12, -200, -400, 10000, 1]`

yields a number of payments of 39.7.**Note:**If you make monthly payments on an annual interest rate of 10 percent, use 10%/12 for`<Rate>`

.

**Note:**For all arguments, cash paid out is represented by negative numbers and cash received by positive numbers.

**Note:**See also Payment, Rate, Present Value and Future Value commands.