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Free Loan Calculator — Monthly Payment & Amortization | NovaCalculator

Calculate monthly loan payments, total interest cost, and payoff schedule for personal, auto, or student loans. Includes full amortization table.

Formula

M = P × [r(1+r)ⁿ] / [(1+r)ⁿ – 1]

Where M = Monthly Payment, P = Principal (loan amount), r = Monthly interest rate (annual rate ÷ 12 ÷ 100), n = Total number of payments (years × 12). This amortization formula ensures equal monthly payments while gradually shifting the proportion from interest to principal over the loan term.

Worked Examples

Example 1: Car Loan - $25,000 at 5.9% for 60 Months

Problem:You want to finance a $25,000 vehicle with a 5.9% APR auto loan over 60 months. What will your monthly payment be, and how much interest will you pay over the life of the loan?

Solution:Step 1: Identify the variables\n P = $25,000 (the amount you are financing)\n r = 5.9% / 12 = 0.4917% = 0.004917 (monthly interest rate)\n n = 60 months (5 years)\n\nStep 2: Plug into the amortization formula\n M = P x [r(1+r)^n] / [(1+r)^n - 1]\n M = 25000 x [0.004917(1.004917)^60] / [(1.004917)^60 - 1]\n M = 25000 x [0.004917 x 1.3420] / [1.3420 - 1]\n M = 25000 x 0.006598 / 0.3420\n M = 25000 x 0.019292\n M = $482.29\n\nStep 3: Calculate total cost\n Total paid = $482.29 x 60 = $28,937.40\n Total interest = $28,937.40 - $25,000 = $3,937.40\n\nThis means roughly 13.6% of your total payments go toward interest. In the first month, about $102 goes to interest and $380 goes to principal. By month 48, only about $29 goes to interest.

Result:Monthly Payment: $482.29 | Total Interest: $3,937.40 | Total Cost: $28,937.40

Example 2: Personal Loan - $10,000 at 8% for 36 Months

Problem:You need a $10,000 personal loan to cover home repairs. Your bank offers 8% APR with a 36-month term. What are the monthly payments, and what does this loan actually cost you?

Solution:Step 1: Identify the variables\n P = $10,000 (amount borrowed)\n r = 8% / 12 = 0.6667% = 0.006667 (monthly interest rate)\n n = 36 months (3 years)\n\nStep 2: Apply the loan payment formula\n M = P x [r(1+r)^n] / [(1+r)^n - 1]\n M = 10000 x [0.006667(1.006667)^36] / [(1.006667)^36 - 1]\n M = 10000 x [0.006667 x 1.2702] / [1.2702 - 1]\n M = 10000 x 0.008468 / 0.2702\n M = 10000 x 0.031336\n M = $313.36\n\nStep 3: Calculate total cost\n Total paid = $313.36 x 36 = $11,281.01\n Total interest = $11,281.01 - $10,000 = $1,281.01\n\nAt 8%, you are paying about 12.8% extra on top of the original loan amount. If you can find a credit union offering 6% instead, your payment drops to $304.22 and total interest falls to $951.99 - saving you $329 just by shopping around.

Result:Monthly Payment: $313.36 | Total Interest: $1,281.01 | Total Cost: $11,281.01

Example 3: Auto Loan Calculation

Problem:Calculate the monthly payment for a $30,000 car loan at 6.5% APR for 60 months (5 years).

Solution:Step 1: Identify variables\n P = $30,000 (principal)\n r = 6.5% ÷ 12 = 0.5417% = 0.005417 (monthly rate)\n n = 60 months\n\nStep 2: Apply the formula\n M = P × [r(1+r)^n] / [(1+r)^n – 1]\n M = 30000 × [0.005417(1.005417)^60] / [(1.005417)^60 – 1]\n M = 30000 × [0.005417 × 1.3829] / [1.3829 – 1]\n M = 30000 × [0.007490] / [0.3829]\n M = 30000 × 0.01957\n M = $586.04

Result:Monthly Payment: $586.98 | Total Interest: $5,219.07 | Total Cost: $35,219.07

Frequently Asked Questions

How is my monthly loan payment calculated?

Your monthly loan payment is calculated using the amortization formula M = P × [r(1+r)^n] / [(1+r)^n - 1], where P is the principal, r is the monthly interest rate (annual rate divided by 12), and n is the total number of payments. Equal payments retire the loan by the final month. For example, a $20,000 personal loan at 8% APR for 48 months gives M = $488.26/month. Total paid is $23,436 — meaning $3,436 goes to interest, about 17% on top of the $20,000 borrowed. Because the balance is highest in month one, interest is front-loaded: roughly $133 goes to interest and only $355 to principal that first month. Each subsequent month the split shifts toward principal until the final payment is nearly all principal. Extra early payments save far more than late payments because they eliminate principal that would otherwise compound interest for years. Use Free Loan Calculator — Monthly Payment & Amortization | NovaCalculator to compare loan amounts and terms so you see total interest cost — not just the monthly payment — before committing.

What factors affect my loan interest rate?

Your loan rate is shaped by personal factors and market conditions. Credit score is the biggest lever: borrowers above 740 access the lowest rates, while scores below 670 face rates two to five points higher — on a $25,000 five-year loan that gap can mean $3,000 or more in extra interest. Loan term matters: shorter terms carry less lender risk and often come with lower rates. Collateral is powerful: a secured auto or home loan carries rates 2–5% lower than an unsecured personal loan, because the lender can repossess the asset. Your debt-to-income ratio (DTI) signals repayment capacity; most lenders prefer DTI below 36%. Macroeconomic conditions set a floor — when the Federal Reserve raises benchmark rates, consumer loan rates follow. Lender type also matters: credit unions routinely beat bank rates by 1–2 points because they are member-owned nonprofits. Actionable steps: check your credit report for errors six months before applying, pay down revolving balances to reduce your DTI, and collect competing quotes from at least three lenders before committing.

Should I choose a shorter or longer loan term?

Loan term controls both your monthly cash flow and total borrowing cost, and those goals pull in opposite directions. A shorter term forces higher payments but cuts total interest; a longer term eases monthly pressure but lets interest accumulate. On a $25,000 loan at 7%: a 3-year term produces a $772/month payment and $2,784 in total interest; a 5-year term drops the payment to $495/month but total interest rises to $4,702; at 7 years the payment is $378/month and total interest climbs to $6,773 — nearly 2.5 times the 3-year cost. The 7-year borrower pays $3,989 more for the same $25,000, purely for a lower monthly payment. If your income is steady and the higher payment fits your budget, the shorter term wins on cost. If cash flow is tight, the longer term reduces the risk of a missed payment. Practical middle ground: take the longer term for payment security, then make extra principal payments whenever your budget allows — you get flexibility without being locked into the minimum.

How do extra payments affect my loan?

Every extra dollar above your required payment goes directly to principal, shrinking the balance on which future interest accrues — a compounding savings effect. Even small overpayments matter. On a $25,000 loan at 7% for 60 months, the standard payment is $495/month with $4,702 in total interest. Adding just $100/month — making it $595 — cuts total interest to roughly $3,600 (saving over $1,100) and pays off the loan about 11 months early. Three practical approaches: add a fixed amount to each monthly payment; switch to bi-weekly payments (26 half-payments per year equals 13 full payments, one bonus per year); or make occasional lump-sum payments from a bonus or tax refund. Extra payments made early in the loan save more than those made later because they eliminate principal that would otherwise generate interest for years. One critical step: confirm with your servicer that extra amounts are credited to principal rather than applied as future scheduled payments — some servicers default to the latter unless you specify otherwise.

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