Financial.Rate(Double, Double, Double, Double, DueDate, Double) Method


Returns a value specifying the interest rate per period for an annuity.

public static double Rate (double NPer, double Pmt, double PV, double FV = 0, Microsoft.VisualBasic.DueDate Due = Microsoft.VisualBasic.DueDate.EndOfPeriod, double Guess = 0.1);
static member Rate : double * double * double * double * Microsoft.VisualBasic.DueDate * double -> double
Public Function Rate (NPer As Double, Pmt As Double, PV As Double, Optional FV As Double = 0, Optional Due As DueDate = Microsoft.VisualBasic.DueDate.EndOfPeriod, Optional Guess As Double = 0.1) As Double



Required. The total number of payment periods in the annuity. For example, if you make monthly payments on a four-year car loan, your loan has a total of 4 * 12 (or 48) payment periods.


Required. The payment to be made each period. Payments usually contain principal and interest that doesn't change over the life of the annuity.


Required. The present value, or value today, of a series of future payments or receipts. For example, when you borrow money to buy a car, the loan amount is the present value to the lender of the monthly car payments you will make.


Optional. The future value or cash balance you want after you make the final payment. For example, the future value of a loan is $0 because that is its value after the final payment. However, if you want to save $50,000 over 18 years for your child's education, then $50,000 is the future value. If omitted, 0 is assumed.


Optional. Object of type DueDate that specifies when payments are due. This argument must be either DueDate.EndOfPeriod if payments are due at the end of the payment period, or DueDate.BegOfPeriod if payments are due at the beginning of the period. If omitted, DueDate.EndOfPeriod is assumed.


Optional. The value you estimate is returned by Rate. If omitted, Guess is 0.1 (10 percent).



The interest rate per period for an annuity.


NPer <= 0.


This example uses the Rate function to calculate the interest rate of a loan given the total number of payments (TotPmts), the amount of the loan payment (Payment), the present value or principal of the loan (PVal), the future value of the loan (FVal), a number that indicates whether the payment is due at the beginning or end of the payment period (PayType), and an approximation of the expected interest rate (Guess).

Sub TestRate()
    Dim PVal, Payment, TotPmts, APR As Double
    Dim PayType As DueDate

    ' Define percentage format.
    Dim Fmt As String = "##0.00"
    Dim Response As MsgBoxResult
    ' Usually 0 for a loan.
    Dim FVal As Double = 0
    ' Guess of 10 percent.
    Dim Guess As Double = 0.1
    PVal = CDbl(InputBox("How much did you borrow?"))
    Payment = CDbl(InputBox("What's your monthly payment?"))
    TotPmts = CDbl(InputBox("How many monthly payments do you have to make?"))
    Response = MsgBox("Do you make payments at the end of the month?", MsgBoxStyle.YesNo)
    If Response = MsgBoxResult.No Then
        PayType = DueDate.BegOfPeriod
        PayType = DueDate.EndOfPeriod
    End If
    APR = (Rate(TotPmts, -Payment, PVal, FVal, PayType, Guess) * 12) * 100

    MsgBox("Your interest rate is " & Format(CInt(APR), Fmt) & " percent.")
End Sub


An annuity is a series of fixed cash payments made over a period of time. An annuity can be a loan (such as a home mortgage) or an investment (such as a monthly savings plan).

For all arguments, cash paid out (such as deposits to savings) is represented by negative numbers; cash received (such as dividend checks) is represented by positive numbers.

Rate is calculated by iteration. Starting with the value of Guess, Rate cycles through the calculation until the result is accurate to within 0.00001 percent. If Rate cannot find a result after 20 tries, it fails. If your guess is 10 percent and Rate fails, try a different value for Guess.

Applies to

See also