All Calc Kit Logo
All Calc Kit
Currency & Finance ←

Loan / EMI Calculator

Calculate monthly loan repayment, total interest & schedule. Fast, precise, real-time calculations.

Loan & EMI Calculator

100,000
Min: $10,000Max: $1,000,000
8.5%
5 Years
Monthly Repayment (EMI)
$0
Total Interest$0
Total Payable$0
Principal (70%)Interest (30%)
Explain CalculationLive Mathematical Working
Show Steps
Standard Amortization Formula
EMI = [P × r × (1 + r)ⁿ] ÷ [(1 + r)ⁿ − 1]
Step 1 — Rate & Periods Conversion
Principal (P) = $100,000
Monthly Rate (r) = 8.5% ÷ 12 ÷ 100 = 0.00708333
Total Payments (n) = 5 × 12 = 60 months
Step 2 — Monthly Installment (EMI)
Growth Multiplier (1 + r)ⁿ = (1.00708333)⁶⁰ ≈ 1.5273
EMI = [100,000 × 0.00708333 × 1.5273] ÷ [1.5273 − 1]
= $2,051.65 / month
Step 3 — Total Cost Breakdown
Total Repayment = $2,051.65 × 60 = $123,099.16
Total Interest = $123,099.16 − $100,000 = $23,099.16

What is a Loan & EMI Calculator?

A Loan & EMI (Equated Monthly Installment) Calculator is a debt amortization and financial planning tool that calculates the exact fixed monthly payment required to repay a personal loan, home mortgage, auto loan, or student debt over a designated tenure at a fixed annual interest rate.

By adjusting the loan principal amount, annual interest rate percentage, and loan duration, you can immediately preview your monthly EMI, total interest liability, total repayment amount, and a visual principal-to-interest breakdown. The calculator supports multiple global currencies (USD, INR, EUR, GBP) and updates in real time as you move the sliders.

How to Use the Loan & EMI Calculator

Calculate your loan repayment schedule in four simple steps:

  1. 1Select your preferred currency (USD $, INR ₹, EUR €, or GBP £) from the top-right currency selector.
  2. 2Adjust the "Loan Amount" slider or enter your principal borrowing requirement (e.g. $100,000).
  3. 3Set your lender's quoted "Interest Rate (% p.a.)" annual percentage rate (e.g. 8.5%).
  4. 4Select the "Loan Tenure (Years)" duration over which you plan to repay the loan (e.g. 5 Years).
  5. 5Review your Monthly Repayment (EMI), Total Interest, Total Payable, and visual Principal vs. Interest percentage allocation.

How Loan EMI Calculation Works

Most consumer and commercial loans utilize reducing-balance amortization. In this structure, every monthly payment is divided into two parts: one portion pays the interest accrued on the remaining principal balance for that month, and the remainder pays down the principal.

In the early months of a loan, when the principal balance is highest, interest constitutes a larger share of the monthly EMI. As the principal is progressively paid down, interest charges shrink and principal reduction accelerates.

Calculation Formula
EMI = [P × r × (1 + r)ⁿ] ÷ [(1 + r)ⁿ − 1]

Where P is principal, r is the periodic monthly interest rate (Annual Rate ÷ 12 ÷ 100), and n is the total number of monthly installments (Years × 12).

Formula Variables Explained

Variable / TermNameDescription
P (Principal)Loan AmountThe initial lump sum borrowed from the bank or financial institution.
r (Monthly Rate)Periodic RateAnnual interest rate divided by 12 months and 100 (e.g., 8.5% annual = 0.007083 monthly).
n (Tenure Months)Payment PeriodsTotal number of monthly payment installments over the life of the loan (Years × 12).
EMIMonthly RepaymentThe fixed equal dollar amount paid each calendar month until the debt is fully amortized.
Total InterestCost of BorrowingTotal cumulative interest charges paid over the full duration of the loan (Total Payable − Principal).

Loan Comparison Benchmarks ($100,000 Borrowed)

Sample repayment profiles for common loan terms and interest rates:

Loan TypeInterest Rate (% p.a.)TenureMonthly EMITotal Interest PaidTotal Repayment
3-Year Auto / Personal7.5%3 Years (36 mo)$3,111$11,986$111,986
5-Year Auto / Business8.5%5 Years (60 mo)$2,052$23,099$123,099
10-Year Student / Home6.5%10 Years (120 mo)$1,135$36,257$136,257
15-Year Fixed Mortgage6.0%15 Years (180 mo)$844$51,894$151,894
20-Year Home Loan6.5%20 Years (240 mo)$746$78,934$178,934
30-Year Fixed Mortgage7.0%30 Years (360 mo)$665$139,509$239,509

Example: Repaying a $100,000 Loan at 8.5% over 5 Years

Suppose you borrow $100,000 for a car or home renovation at an 8.5% annual interest rate over a 5-year tenure (60 monthly payments).

Loan Principal
$100,000
Annual Interest Rate
8.5% p.a.
Loan Tenure
5 Years (60 Months)
Step-by-Step Walkthrough
  • • Step 1: Calculate monthly interest rate: r = 8.5 ÷ 12 ÷ 100 = 0.0070833.
  • • Step 2: Calculate compound growth factor: (1 + 0.0070833)⁶⁰ ≈ 1.5273.
  • • Step 3: Calculate monthly EMI: [100,000 × 0.0070833 × 1.5273] ÷ [1.5273 − 1] = $2,051.65 (rounded to $2,052).
  • • Step 4: Calculate total payable: $2,051.65 × 60 months = $123,099.
  • • Step 5: Calculate total interest: $123,099 − $100,000 = $23,099 (81% Principal, 19% Interest).
Calculation:EMI = $2,052 / month → Total Payable = $123,099 → Total Interest = $23,099
Computed ResultMonthly EMI: $2,052 | Total Interest: $23,099 | Total Payable: $123,099

Understanding Your Result

Choosing a shorter tenure increases your monthly EMI but dramatically reduces total lifetime interest paid. For example, shortening a $100,000 loan from 30 years to 15 years can save more than $80,000 in interest.

The visual percentage bar indicates what fraction of your total out-of-pocket payments goes toward the actual borrowed capital (Principal) versus the bank's finance charge (Interest).

Frequently Asked Questions

What is an Equated Monthly Installment (EMI)?

An EMI is a fixed, equal monthly payment made by a borrower to a financial lender on a set date each month to gradually extinguish both the loan principal and accrued interest over a designated tenure.

Why does a longer tenure result in paying more total interest?

While a longer tenure lowers the monthly installment by spreading repayments over more months, interest accrues on the unpaid balance for a much longer period, significantly increasing total cumulative finance charges.

How do extra principal payments or prepayments help?

Prepayments reduce the outstanding principal balance immediately. Because subsequent interest charges are calculated on a smaller principal balance, making occasional extra payments can shave years off your loan tenure and save thousands in interest.

What is the difference between fixed-rate and floating-rate loans?

A fixed-rate loan maintains an unchanging interest rate and EMI throughout the entire duration. A floating-rate loan adjusts periodically based on central bank benchmark rates, which can raise or lower your monthly EMI.

Does this calculator include property taxes and insurance?

No. This calculator computes the pure principal and interest (P&I) payment. Mortgages often include escrow charges for property taxes and homeowners insurance (PITI), which add to the total monthly housing cost.

Important Notes & Amortization Standards

  • •Reducing Balance Method: Uses standard monthly reducing balance compounding used by international banks and credit unions.
  • •Multi-Currency Support: Supports USD ($), INR (₹), EUR (€), and GBP (£) with locale-formatted integers and currency symbols.
  • •Exclusions: Figures represent pure Principal and Interest (P&I). Loan origination fees, closing costs, insurance, and taxes are excluded.
← Back to Currency & FinanceAllCalcKit Precision Tools