Math.Rate

Returns the interest rate per period of an annuity.

Parameters

Parameter	Description	Example	Flags
Nper	The total number of payment periods in an annuity.
pmt	The payment made each period and cannot change over the life of the annuity. Typically, pmt includes principal and interest but no other fees or taxes. If pmt is omitted, you must include the fv argument.
pv	The present value — the total amount that a series of future payments is worth now.
fv	The future value, or a cash balance you want to attain after the last payment is made. If fv is omitted, it is assumed to be 0 (the future value of a loan, for example, is 0). If fv is omitted, you must include the pmt argument.		Optional
Type	The number 0 or 1 and indicates when payments are due. 0 or omitted: At the end of the period 1: At the beginning of the period		Optional
guess	Your guess for what the rate will be. * If you omit guess, it is assumed to be 10 percent. * If RATE does not converge, try different values for guess. RATE usually converges if guess is between 0 and 1.		Optional

Result

Returns OK or error.

Description

Examples

Do a test calculation:

Set Variable [ $LoanAmount ; Value: 8000 ]
Set Variable [ $MonthlyPaymentAmount ; Value: 152,5 ]
Set Variable [ $NumberOfYears ; Value: 5 ]
Set Variable [ $NumberOfPeriods ; Value: 60 ]
Set Variable [ $PaymentPeriodsPerYear ; Value: 12 ]
Set Variable [ $Rate ; Value: MBS("Math.Rate"; $NumberOfPeriods; -$MonthlyPaymentAmount; $LoanAmount) ]
Set Variable [ $Rate ; Value: Round ( $Rate * 100; 2 ) ]
Show Custom Dialog [ "Rate" ; "Monthly: " & $Rate & "%" // shows .45% & ¶ & "Annually: " & ($Rate * $PaymentPeriodsPerYear) & "%" ]

Calculate yearly rate:

Let([
LoanAmount = 14076;
MonthlyPaymentAmount = 264.34;
NumberOfYears = 5;
NumberOfPeriods = 60;
PaymentPeriodsPerYear = 12;
Rate = MBS("Math.Rate"; NumberOfPeriods; -MonthlyPaymentAmount; LoanAmount); // monthly
Rate = ((1 + Rate)^12-1); // yearly
Rate = Round ( Rate * 100; 2 ) // rounded
]; Rate)

Calculate rate with end value:

Let([
LoanAmount = -13324.46;
MonthlyPaymentAmount = 181.34;
NumberOfYears = 5;
NumberOfPeriods = 60;
PaymentPeriodsPerYear = 12;
EndValue = 5196.19;
Rate = MBS("Math.Rate"; NumberOfPeriods; MonthlyPaymentAmount; LoanAmount; EndValue; 0); // monthly
RateYearly = ((1 + Rate)^12-1); // yearly
RateYearly = Round ( RateYearly * 100; 2 ) // rounded
]; RateYearly)

Example result: 5.94

Release notes

• Version 14.5
  • Added Math.Rate function.

Example Databases

• Math/Rate calculation

Blog Entries

• New in MBS FileMaker Plugin in Version 14.5
• Neues MBS Plugin 14.5 für Claris FileMaker
• MBS FileMaker Plugin 14.5 for Claris FileMaker
• MBS FileMaker Plugin, version 14.5pr3

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Created 9th October 2024, last changed 23th November 2024

Math.Random.PoissonDistribution - Math.Reciprocal