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Loan Calculator

Determine your monthly loan payments, interest costs, and amortization details. Ideal for auto loans, personal loans, and simple installment loans.

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Interactive Loan Calculator Workspace

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Payment Breakdown

Monthly Payment$489.15regular installment
Total Interest Paid$4,349.22cost of borrow
Total Payments$29,349.22principal + interest

Initial Amortization Schedule (First 6 Months)

PaymentPrincipalInterestRemaining Balance
Month 1$353.74$135.42$24,646.26
Month 2$355.65$133.5$24,290.61
Month 3$357.58$131.57$23,933.03
Month 4$359.52$129.64$23,573.51
Month 5$361.46$127.69$23,212.05
Month 6$363.42$125.73$22,848.63

Mathematical Formula & Variables

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

The standard fixed amortization formula calculates the monthly payment needed to fully pay off the loan balance over a chosen period with a fixed interest rate.

Variable Definitions

SymbolDescription
MTotal monthly payment amount
PPrincipal loan balance
rMonthly interest rate (annual rate divided by 12)
nTotal number of monthly payments (term in years multiplied by 12)

How to Use the Loan Calculator

  • Enter the Total Loan Amount (Principal) you wish to borrow.
  • Input the Annual Interest Rate offered by your lender.
  • Select or type the Loan Term in years or months.
  • Review the computed monthly installment, total interest paid, and cumulative sum of payments.

Practical Example Calculation

Scenario Context: Calculating monthly payment and total interest on a $30,000 auto loan at 5.5% annual interest for 5 years.

Step 1: Identify values: Principal (P) = $30,000, Annual Rate = 5.5%, Term = 5 years.
Step 2: Calculate Monthly Rate (r): 5.5% / 100 / 12 = 0.0045833.
Step 3: Calculate Number of Payments (n): 5 * 12 = 60 months.
Step 4: Apply formula: M = $30,000 * [0.0045833 * (1.0045833)^60] / [(1.0045833)^60 - 1].
Step 5: Solve: M = $30,000 * 0.019096 = $572.88 monthly installment.
Step 6: Total interest: ($572.88 * 60) - $30,000 = $4,372.80.
The monthly installment is $572.88 with a total interest of $4,372.80 over 5 years.

Frequently Asked Questions

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