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Loan Payment - Fixed Interest

vCalc Reviewed
Last modified by
on
Oct 24, 2023, 1:23:15 PM
Created by
on
Aug 15, 2014, 1:09:19 PM
P=Li(1+i)n(1+i)n-1
(L)Loan Amount
(i)Interest rate
(n)Periods
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9e8c09a7-f932-11e2-968f-bc764e049c3d

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=Li(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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