Installment Calculator - Calculate Loan Repayments
A Loan Installment Calculator is a practical financial tool used to estimate monthly repayments for a loan based on the loan amount, interest rate, and repayment period. It helps users understand how much they need to pay each month and how the repayment burden changes depending on the tenor and interest structure. This is useful for personal loans, vehicle financing, and general credit planning.
Installment Calculation Formula (Annuity)
M = P × [r(1+r)ⁿ] / [(1+r)ⁿ-1]Formula: M = Monthly payment, P = Loan principal, r = Monthly interest rate, n = Number of monthsVariables:
- MMonthly installment to be paidMonthly installment to be paid(e.g.: $2,500/month)
- PLoan principalLoan principal(e.g.: $100,000)
- rMonthly interest rate (annual rate ÷ 12)Monthly interest rate (annual rate ÷ 12)(e.g.: 1% per month (12%/year))
- nLoan term in monthsLoan term in months(e.g.: 60 months (5 years))
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How to Use the Installment Calculator
- 1
Enter Loan Amount
Enter the total loan amount or the price of the item to be financed (after deducting any down payment).
- 2
Enter Interest Rate
Enter the annual interest rate offered. Typically 6-12% for mortgage loans, 10-20% for vehicle loans.
- 3
Select Loan Term
Determine how long the loan will be repaid. A longer term means smaller monthly payments but higher total interest.
- 4
View Simulation Results
Results will display the monthly payment, total payment amount, and total interest payable.
Examples
Example 1: Motorcycle Loan
Finance a motorcycle worth $18,000 at 14% annual interest, 3-year term (36 months). What is the monthly payment?
- 1.P = 18,000, annual rate = 14%, r = 14%/12 = 1.167% = 0.01167
- 2.n = 36 months
- 3.M = 18,000 × [0.01167(1.01167)³⁶] / [(1.01167)³⁶-1]
- 4.M ≈ $615/month
Total payment $22,140, total interest $4,140 over 3 years.
Example 2: Subsidized Home Mortgage
Home mortgage of $150,000 at 5% annual interest, 15-year term (180 months). What is the monthly payment?
- 1.P = 150,000, annual rate = 5%, r = 5%/12 = 0.4167% = 0.004167
- 2.n = 180 months
- 3.M = 150,000 × [0.004167(1.004167)¹⁸⁰] / [(1.004167)¹⁸⁰-1]
- 4.M ≈ $1,185/month
Total payment $213,300, total interest $63,300 over 15 years.