What is the formula to calculate loan payment?

Written by Editorial Team | Last Updated: August 2026

The standard algebraic formula for calculating a periodic loan payment is given by PMT=1−(1+r)−nPV⋅r​, where PV stands for the present value or total principal borrowed, r represents the interest rate per payment period, and n denotes the total number of payment periods. This mathematical formulation ensures that financial institutions and borrowers can accurately determine equal periodic installments that fully amortize the underlying debt obligation over time.

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