Loan Calculator

Calculate monthly payments, total interest and total cost for any personal loan.

Quick Answer

A fixed-rate loan payment is calculated with M = P[r(1+r)^n]/[(1+r)^n-1], where P is the loan amount, r is the monthly interest rate (APR/12), and n is the total number of monthly payments. This is the standard amortization formula used by the Consumer Financial Protection Bureau.

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Monthly Payment

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Total Interest

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Total Repaid

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How Loan Payments Are Calculated

When you borrow money, the lender expects you to repay the principal (the amount borrowed) plus interest (the cost of borrowing) over a defined period. Most consumer and commercial loans use a fully amortizing structure, which means every monthly payment is the same dollar amount from the first month to the last. Each payment is split into two parts: one portion covers the interest that accrued on the outstanding balance during the previous month, and the remainder reduces the principal. Because the balance shrinks with every payment, the interest portion decreases over time while the principal portion increases, even though the total payment stays constant.

The size of each payment depends on three variables: the loan amount, the annual interest rate, and the number of payments (the term). Change any one of these and the payment changes. A higher rate or shorter term increases the payment; a lower rate or longer term decreases it. Fixed-rate loans lock in the interest rate for the entire term, making your budget predictable. Variable-rate (or adjustable-rate) loans tie the rate to a benchmark such as the prime rate or SOFR index, so the payment can rise or fall when the benchmark moves. Most personal loans, auto loans, and conventional mortgages use fixed rates, while home equity lines of credit (HELOCs) and some student loans use variable rates.

Understanding the amortization process is critical because it reveals how much of your early payments go toward interest versus principal. On a 30-year mortgage, for example, more than 70% of each payment in the first year goes to interest. This is why making even small extra principal payments early in the loan term can save thousands of dollars in interest over the life of the loan. Every dollar of early principal reduction prevents interest from accruing on that amount for the remaining term, creating a compounding savings effect.

Loan Payment Formula

The standard formula for calculating the fixed monthly payment on an amortizing loan is:

M = P × [r(1 + r)n] / [(1 + r)n − 1]

Where:

This formula assumes a fixed rate and equal monthly payments. If the annual rate is 0%, the formula simplifies to M = P / n. For variable-rate loans, lenders recalculate the payment whenever the rate adjusts, using the remaining balance as the new principal and the remaining months as the new term. Interest-only loans use a simpler formula (M = P × r) during the interest-only period, after which the loan re-amortizes over the remaining term at the fully amortizing payment.

Worked Example: $200,000 at 6% for 15 Years

  • Step 1: Convert the annual rate to a monthly rate: r = 6% ÷ 12 ÷ 100 = 0.005
  • Step 2: Calculate total payments: n = 15 × 12 = 180
  • Step 3: Compute (1 + r)n = (1.005)180 = 2.45409
  • Step 4: Plug into the formula: M = $200,000 × [0.005 × 2.45409] / [2.45409 − 1]
  • Step 5: M = $200,000 × 0.012270 / 1.45409 = $200,000 × 0.008439 = $1,687.71/month
  • Total repaid over 15 years: $1,687.71 × 180 = $303,788
  • Total interest paid: $303,788 − $200,000 = $103,788

Key Loan Terms Explained

Fixed vs. Variable Rate Comparison

Choosing between a fixed and variable rate affects your payment predictability, total cost, and risk exposure. The table below summarizes the key differences to help you decide which structure fits your situation.

Feature Fixed Rate Variable Rate
Interest RateStays the same for the entire termChanges periodically with a benchmark index (e.g., SOFR, Prime)
Monthly PaymentConstant and predictable every monthCan increase or decrease at each adjustment
Initial RateUsually higher than initial variable rateOften lower introductory rate for first 1-5 years
RiskNo rate risk; total cost is known upfrontPayment can rise significantly if rates increase
Best ForLong-term loans; borrowers who want certaintyShort-term loans; borrowers expecting rate drops
Common ExamplesConventional mortgages, auto loans, personal loansHELOCs, adjustable-rate mortgages (ARMs), some student loans

Types of Loans Compared

Different loan products serve different purposes and carry different rate ranges, terms, and requirements. The table below provides a general comparison of the most common loan types available to consumers.

Loan Type Typical Rate Typical Term Secured? Best For
Mortgage5.5%–7.5%15 or 30 yearsYes (home)Home purchase or refinance
Auto Loan4.5%–10%36–72 monthsYes (vehicle)New or used car purchase
Personal Loan6%–24%12–60 monthsNoDebt consolidation, home improvement, medical bills
Student Loan (Federal)5%–8.5%10–25 yearsNoCollege tuition, books, living expenses
Home Equity Loan6%–10%5–30 yearsYes (home)Large expenses using home equity

Practical Examples

Scenario 1: $15,000 Personal Loan at 9% for 3 Years

  • Monthly rate: 9% ÷ 12 = 0.75% (0.0075)
  • Total payments: 3 × 12 = 36
  • Monthly payment: $477.00
  • Total interest: $2,172. Total repaid: $17,172

A 3-year term keeps total interest relatively low at about 14.5% of the original loan amount. This is a common choice for debt consolidation or a home improvement project. Adding just $50 per month extra toward principal would pay off the loan 3 months early and save approximately $150 in interest.

Scenario 2: $30,000 Auto Loan at 5.5% for 5 Years

  • Monthly rate: 5.5% ÷ 12 = 0.4583% (0.004583)
  • Total payments: 5 × 12 = 60
  • Monthly payment: $573.19
  • Total interest: $4,391. Total repaid: $34,391

Auto loans tend to carry lower rates than unsecured personal loans because the vehicle serves as collateral. A 60-month term balances affordable payments against reasonable total interest. Shortening to 48 months raises the payment to $698 but saves $1,072 in interest.

Scenario 3: $250,000 Mortgage at 6.5% for 30 Years

  • Monthly rate: 6.5% ÷ 12 = 0.5417% (0.005417)
  • Total payments: 30 × 12 = 360
  • Monthly payment: $1,580.17
  • Total interest: $318,861. Total repaid: $568,861

Over 30 years the total interest exceeds the original principal. Switching to a 15-year term at the same rate raises the payment to $2,177 but cuts total interest to $141,862, saving $176,999. Use our Mortgage Calculator for more detailed home loan analysis.

How to Reduce Your Monthly Payment

If your current loan payment feels too high, or you want to minimize payments on a new loan, consider these proven strategies:

Fixed Term vs. Fixed Payment Approach

When planning a loan, you can approach it from two angles. The fixed-term approach is the most common: you decide the loan amount, rate, and term, and the formula tells you the monthly payment. This is how the calculator above works. It answers the question, "How much will I pay each month if I borrow $X at Y% for Z years?"

The fixed-payment approach works in reverse. You start with a monthly payment you can comfortably afford and solve for the maximum loan amount or the shortest term. For example, if you can afford $500 per month and the rate is 7%, the formula tells you that you can borrow up to approximately $20,979 over 48 months, or about $29,880 over 72 months. This approach is useful for budgeting because it ensures your loan fits within your monthly cash flow before you start shopping for a car, home, or other financed purchase.

Financial advisors generally recommend that your total monthly debt payments (including the new loan) should not exceed 36% of your gross monthly income. This is known as the debt-to-income (DTI) ratio. Mortgage lenders in particular use DTI thresholds of 43% to 50% as qualification cutoffs. Using the fixed-payment approach helps you stay within these guidelines and avoid over-borrowing. If both approaches suggest a comfortable payment, you have strong confirmation that the loan is affordable and sustainable over the full term.

Disclaimer: This calculator is for informational purposes only and does not constitute financial, tax, or legal advice. Always consult a qualified professional for decisions specific to your situation.

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