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FINANCIAL

Loan Interest Rate Solver Calculator

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Infer a non-negative fixed nominal rate from a loan amount, term and equal monthly payments.

Your inputs

USD
USD
months

Example values are shown. Edit them for your calculation.

Inputs stay in this page. No account needed.

Your result

FINANCIAL

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Next steps

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On this page How it works & practical examples

How to use the Loan Interest Rate Solver Calculator

Infer a non-negative fixed nominal rate from a loan amount, term and equal monthly payments. Payments occur at month ends.

The calculation

Solve payment = principal × r/[1−(1+r)^−months]; nominal annual rate = 12r

Worked example

$10,000 repaid as 60 monthly payments of $200 implies a nominal annual rate of about 7.4201%.

Assumptions and limits

No upfront fees, balloons, irregular dates or daily accrual. Payments below principal divided by term require a negative rate, which this solver intentionally excludes.

Common questions

Which inputs should I use?

Infer a non-negative fixed nominal rate from a loan amount, term and equal monthly payments. Payments occur at month ends.

What does the result exclude?

No upfront fees, balloons, irregular dates or daily accrual. Payments below principal divided by term require a negative rate, which this solver intentionally excludes.

References

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