Finance

Loan Payment (Amortized)

Monthly payment on an amortized loan.

Formula

Formula
M = P·r1 − (1 + r)−n

Variables

SymbolDefinitionType & rangeUnitsRole
P principal real number (ℝ) input
r monthly rate real number (ℝ) input
n number of months computed result result

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Interactive calculator
Result

Worked examples

Example 1
Givenprincipal = 200000, annual rate (%) = 6, years = 30
Result1199.10105
Example 2
Givenprincipal = 25000, annual rate (%) = 5, years = 5
Result471.7808411