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  2. Loans, Mortgage & Debt
  3. Loan Calculator

Loan Calculator: Payment, Amount, Term & Rate

Solve for any missing loan variable—monthly payment, loan principal, repayment tenure, or interest rate—given the other three.

கடன் இயந்திரம் ஏற்றுகிறது...

How to Use the Loan Calculator

  • 1Select Missing Variable: Choose whether to solve for Monthly Payment, Loan Principal, Loan Tenure (Months), or Interest Rate (%) from the dropdown.
  • 2Enter Known Parameters: Fill in the remaining three required values (the solved field is hidden automatically).
  • 3Read Solved Result: View the solved value displayed in your active currency or unit, with precision to two decimal places.

Calculation Formula & Mathematical Definition

Payment = [P × r] ÷ [1 − (1 + r)^−n]

Standard Fixed-Rate Amortization Formula: Payment = [P × r] ÷ [1 − (1 + r)^−n] Where: • P = Loan Principal amount • r = Monthly interest rate (Annual Nominal Rate ÷ 12 ÷ 100) • n = Loan tenure in total monthly installments Rearranged Solvers: • Solve Principal: P = [Payment × (1 − (1 + r)^−n)] ÷ r • Solve Tenure: n = −ln(1 − (P × r) ÷ Payment) ÷ ln(1 + r) • Solve Rate: Solved numerically via binary search (bisection) to find the exact APR that produces the target payment.

Variable Definitions

  • P=Loan Principal: Total loan amount borrowed
  • r=Monthly Interest Rate: Annual percentage rate divided by 12 months
  • n=Tenure (Months): Total number of monthly payment periods
  • Payment=Monthly Installment: Fixed equated monthly payment amount

Step-by-Step Worked Example

Worked Example 1: Solve for Monthly Payment

Select "Monthly Payment" and enter 20,000 principal at 6% interest over 60 months:

Input Parameters:
Principal: 20,000Interest Rate: 6%Tenure: 60 Months
Calculation Steps:
  1. Monthly rate: r = 6 ÷ 12 ÷ 100 = 0.005.
  2. Amortization formula: Payment = [20,000 × 0.005] ÷ [1 − (1.005)^−60] = 100 ÷ [1 − 0.74137] = 386.66.
  3. Total amount paid: 386.66 × 60 = 23,199.36 (or 23,199.60 with rounded payments).
  4. Total interest accrued: 23,199.36 − 20,000 = 3,199.36.
Final Result:A 20,000 loan at 6% over 60 months results in a monthly payment of 386.66, total paid of 23,199.36, and total interest of 3,199.36.

Worked Example 2: Solve for Loan Principal

Select "Loan Principal" and enter 386.66 payment, 6% interest, and 60 months:

Input Parameters:
Monthly Payment: 386.66Interest Rate: 6%Tenure: 60 Months
Calculation Steps:
  1. Monthly rate: r = 0.005.
  2. Formula: P = [386.66 × (1 − (1.005)^−60)] ÷ 0.005 = [386.66 × 0.258628] ÷ 0.005 = 20,000.21.
Final Result:A monthly budget of 386.66 at 6% over 60 months finances a loan principal of about 20,000 (20,000.21 with rounded payment).

Worked Example 3: Solve for Loan Tenure

Select "Loan Tenure (Months)" and enter 20,000 principal, 6% interest, and 386.66 payment:

Input Parameters:
Principal: 20,000Interest Rate: 6%Monthly Payment: 386.66
Calculation Steps:
  1. Monthly rate: r = 0.005.
  2. Formula: n = −ln(1 − (20,000 × 0.005) ÷ 386.66) ÷ ln(1.005) = −ln(1 − 0.258625) ÷ 0.0049875 = 60.0 months.
Final Result:Paying 386.66 per month on a 20,000 loan at 6% pays off the debt in exactly 60 months.

Worked Example 4: Solve for Interest Rate

Select "Interest Rate (%)" and enter 20,000 principal, 60 months tenure, and 386.66 payment:

Input Parameters:
Principal: 20,000Tenure: 60 MonthsMonthly Payment: 386.66
Calculation Steps:
  1. The solver applies numerical bisection between 0% and 100% APR to match the 386.66 payment.
  2. At 6.00% APR, the computed payment is exactly 386.66.
Final Result:A 20,000 loan over 60 months with payments of 386.66 carries an annual interest rate of 6%.

Frequently Asked Questions

How do I calculate a monthly loan payment?

Use Payment = P × r ÷ (1 − (1 + r)^−n). For 20,000 at 6% over 60 months, that gives 386.66 per month.

How can I find out how long a loan will take to pay off?

Select "Loan Tenure" from the dropdown, then enter the loan amount, interest rate, and your monthly payment. A higher payment shortens the repayment term.

How do I find the interest rate on a loan?

Select "Interest Rate" and enter the loan amount, tenure in months, and monthly payment. Compare the solved rate with what your lender quoted—a higher effective rate usually indicates upfront fees or insurance rolled into payments.

Is a shorter or longer loan term better?

A shorter term has a higher monthly payment but significantly lower total interest. For a 20,000 loan at 6%, a 36-month term costs 1,903.79 in interest, whereas a 72-month term costs 3,864.96. Choose the shortest term that fits comfortably within your monthly budget.

Does this calculator include fees, insurance or taxes?

No. It computes pure amortization based strictly on the interest rate, principal, and tenure you provide. Real-world loans may include loan origination fees, closing costs, credit insurance, or property taxes that increase the total borrowing cost.

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Estimate Only

Calculations on this website are automatic estimates and do not represent guaranteed financial, tax, or legal returns. Please verify details with certified specialists.