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Money & borrowing

Loan payment / EMI

Loan payment / EMI: Monthly payment = P×r/[1−(1+r)^−n], r=annual/12; at zero interest P/n

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How it works

Monthly payment = P×r/[1−(1+r)^−n], r=annual/12; at zero interest P/n

Input definitions

Loan principal
Enter the value in the labeled unit.
Nominal annual rate (%)
Enter the value in the labeled unit.
Monthly payments
Enter the value in the labeled unit.

A worked example

Loan principal
12000
Nominal annual rate (%)
0
Monthly payments
12
1000.00

Assumptions & limits

Single currency; 2 fractional digits, decimal arithmetic and half-up rounding at final output. Estimates exclude taxes and fees unless explicitly entered.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.

Common questions

Why might my lender’s payment be different?

Fees, daily interest, payment dates, rounding and contractual rules may differ from this fixed-rate periodic model. Compare the rate and term assumptions with the loan agreement.

Are these investment and borrowing results guaranteed?

No. These are deterministic estimates from the inputs and stated method, not predicted returns or lending offers. Actual fees, tax, timing and contractual terms may differ.

How does the Loan payment / EMI tool work?

Monthly payment = P×r/[1−(1+r)^−n], r=annual/12; at zero interest P/n.

What are the assumptions and limits of Loan payment / EMI?

Single currency; 2 fractional digits, decimal arithmetic and half-up rounding at final output. Estimates exclude taxes and fees unless explicitly entered.

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