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Loan Payment - Fixed Interest

vCalc Reviewed
`P = L*(i*(1+i)^n) / ((1+i)^n - 1)`
`(L) "Loan Amount" `
`(i) "Interest rate"`
`(n) "Periods"`

The Loan Payment calculator provides the periodic payment amount on a fixed interest loan.  

INSTRUCTIONS: Choose units and enter the following:

  • (L) Principal Loan Amount 
  • (i) Periodic Interest Rate
  • (n) Number of  Periods in the duration of the loan

Loan Payment (P):  The calculator returns the fixed periodic payment in U.S. dollars.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

 The formula for Loan Payment is:

`P = L*(i*(1+i)^n) / ((1+i)^n - 1)`

where:

Note: for a 30 year fixed interest mortgage, one may get a 6% annual interest rate loan.  BUT, the payments are monthly.  Therefore the periodic interest rate is 6%/12, which is equal to 0.5%.


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