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Loans

Balance after one payment

The balance falls by exactly the principal portion of the payment.

The Formula

B1 = P - Pr1

The balance falls by exactly the principal portion of the payment.

SymbolMeaning
B1Balance after first payment

What Each Symbol Means

B1currency

Balance after first payment

Opening principal less first-month principal.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate an amortization schedule page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate An Amortization Schedule, filed under Finance. Every number the guide produces comes from substituting into this one line.