LOANS & MORTGAGES CHANNEL

Loan Calculator

Calculate general loan parameters, monthly payment terms, and absolute interest cost profiles.

Calculator Variables

Calculation Overview

Determine monthly payments, total interest, and amortization schedule for any fixed-rate loan.

Mathematical Model & Formula

EMI = P * [r(1+r)^n]/[(1+r)^n - 1]

Calculates the fixed monthly pay-down amount needed to zero out loan liabilities exactly on schedule, paying current period interest first and reducing principal balance with the leftover amount.

Variables Defined:

EMI: Equated Monthly Installment
P: Loan Principal Amount
r: Monthly Interest Rate (Annual Rate / 12)
n: Loan tenure in months

Worked Example Scenario

Scenario: A personal loan of $10,000 for 3 years (36 months) at 12% interest.

P = $10,000, r = 0.12 / 12 = 0.01, n = 36
EMI = $10,000 * [0.01 * (1.01)^36] / [(1.01)^36 - 1]
EMI = $10,000 * [0.014307] / [0.430768] ≈ $332.14

Result: Monthly payment will be $332.14.

Frequently Asked Questions

What is the difference between simple and amortizing loans?

Simple loans calculate fixed interest charges up front. Amortizing loans compute interest monthly based on the outstanding balance, meaning early payments contain more interest charges.

Academic & Regulatory References

Federal Reserve Consumer Guides on Loans → Federal guidelines explaining interest metrics.