## Number Periods FunctionMath Financial Class

```Public Function NumberPeriods( _
ByVal vRate As Variant _
, ByVal vPmt As Variant _
, ByVal vPV As Variant _
, Optional ByVal vFV As Variant _
, Optional ByVal vType As Variant _
) As Variant```

### Calculate the Number of Periods for an annuity based on fixed, periodic payments and a fixed interest rate.

Example: How long would you have to make payments on car loan for a \$20,000 car assuming that you want the payment to be no more than \$450, and that the annual percentage rate (APR) on the loan is 7.5%? At least 53 months, or 4 years and 5 months.
`    NumberPeriods(0.075 / 12, -450, 20000) = 52.2301263064951`
See the NumberPeriodsVerify Subroutine for more examples of this function.
```    InterestRate Function
Payment Function
PresentValue Function
FutureValue Function
PaymentType Function
NPer Function (Visual Basic)
NPER Function (Microsoft Excel)```
Summary: An annuity is a series of fixed payments (all payments are the same amount) made over time. An annuity can be a loan (such as a car loan or a mortgage loan) or an investment (such as a savings account or a certificate of deposit).
vRate: Interest rate per period, expressed as a decimal number. The vRate and vNPer arguments must be expressed in corresponding units. If vRate is a monthly interest rate, then the number of periods (vNPer) must be expressed in months. For a mortgage loan at 6% annual percentage rate (APR) with monthly payments, vRate would be 0.06 / 12 or 0.005. Function will return Null if vRate is Null or cannot be interpreted as a number.
vPmt: Amount of the payment made each period. Cash paid out is represented by negative numbers and cash received by positive numbers. Function will return Null if vPmt is Null or cannot be interpreted as a number.
vPV: Present value (lump sum) of the series of future payments. Cash paid out is represented by negative numbers and cash received by positive numbers. Function will return Null if vPV is Null or cannot be interpreted as a number.
vFV: Optional future value (cash balance) left after the final payment. Cash paid out is represented by negative numbers and cash received by positive numbers. The future value of a loan will usually be 0 (zero). vFV defaults to 0 (zero) if it is missing or Null or cannot be interpreted as a number.
vType: Optional argument that specifies when payments are due. Set to 0 (zero) if payments are due at the end of the period, and set to 1 (one) if payments are due at the beginning of the period. vType defaults to 0 (zero), meaning that payments are due at the end of the period, if it is missing or Null or cannot be interpreted as a number. Function returns Null if vType is not 0 (zero) nor 1 (one).
v2.0 Addition: This function is new to this version of Entisoft Tools.