Financial.IPmt(Double, Double, Double, Double, Double, DueDate) Method
Definition
Important
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Returns a value specifying the interest payment for a given period of an annuity based on periodic, fixed payments and a fixed interest rate.
public static double IPmt (double Rate, double Per, double NPer, double PV, double FV = 0, Microsoft.VisualBasic.DueDate Due = Microsoft.VisualBasic.DueDate.EndOfPeriod);
static member IPmt : double * double * double * double * double * Microsoft.VisualBasic.DueDate -> double
Public Function IPmt (Rate As Double, Per As Double, NPer As Double, PV As Double, Optional FV As Double = 0, Optional Due As DueDate = Microsoft.VisualBasic.DueDate.EndOfPeriod) As Double
Parameters
- Rate
- Double
Required. The interest rate per period. For example, if you get a car loan at an annual percentage rate (APR) of 10 percent and make monthly payments, the rate per period is 0.1/12, or 0.0083.
- Per
- Double
Required. The payment period in the range 1 through NPer
.
- NPer
- 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 x 12 (or 48) payment periods.
- PV
- Double
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.
- FV
- Double
Optional. The future value or cash balance you want after you've made the final payment. For example, the future value of a loan is $0 because that's 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.
- Due
- DueDate
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.
Returns
The interest payment for a given period of an annuity based on periodic, fixed payments and a fixed interest rate.
Exceptions
Per
<= 0 or Per
> NPer
Examples
This example uses the IPmt
function to calculate how much of a payment is interest when all the payments are of equal value. Given are the interest percentage rate per period (APR / 12
), the payment period for which the interest portion is desired (Period
), the total number of payments (TotPmts
), the present value or principal of the loan (PVal
), the future value of the loan (FVal
), and a number that indicates whether the payment is due at the beginning or end of the payment period (PayType
).
Sub TestIPMT()
Dim APR, PVal, Period, IntPmt, TotInt, TotPmts As Double
Dim PayType As DueDate
Dim Response As MsgBoxResult
' Usually 0 for a loan.
Dim Fval As Double = 0
' Define money format.
Dim Fmt As String = "###,###,##0.00"
PVal = CDbl(InputBox("How much do you want to borrow?"))
APR = CDbl(InputBox("What is the annual percentage rate of your loan?"))
If APR > 1 Then APR = APR / 100 ' Ensure proper form.
TotPmts = CInt(InputBox("How many monthly payments?"))
Response = MsgBox("Do you make payments at end of the month?", MsgBoxStyle.YesNo)
If Response = MsgBoxResult.No Then
PayType = DueDate.BegOfPeriod
Else
PayType = DueDate.EndOfPeriod
End If
For Period = 1 To TotPmts ' Total all interest.
IntPmt = IPmt(APR / 12, Period, TotPmts, -PVal, Fval, PayType)
TotInt = TotInt + IntPmt
Next Period
' Display results.
MsgBox("You will pay a total of " & Format(TotInt, Fmt) &
" in interest for this loan.")
End Sub
Remarks
An annuity is a series of fixed cash payments made over time. An annuity can be a loan (such as a home mortgage) or an investment (such as a monthly savings plan).
The Rate
and NPer
arguments must be calculated using payment periods expressed in the same units. For example, if Rate
is calculated using months, NPer
must also be calculated using months.
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.