Loan Calculator — Calculadora Online Grátis
Universal loan calculator for personal, business, student and auto loans — monthly payment, total interest and payoff date
Sobre Esta Calculadora
The Loan Calculator computes the monthly payment, total interest paid, and complete payoff schedule for any amortising loan — personal, auto, student, business, or mortgage — using the standard formula: Payment = P × r(1+r)^n / [(1+r)^n − 1].
A $25,000 auto loan at 7.5% over 60 months costs $501/month and $5,060 total interest. Extend to 72 months and the payment drops to $426/month — but total interest rises to $6,688. You save $75/month but pay $1,628 more overall; the trade-off is immediate cash flow vs. long-term cost.
APR vs. interest rate: lenders advertise the interest rate but the Annual Percentage Rate (APR) includes origination fees, points, and other costs. A $200,000 mortgage at 6.5% with $4,000 in fees has an APR of 6.68% — always compare APR for true borrowing cost.
Total interest as a percentage of principal is the most sobering metric: a $300,000 home mortgage at 7% over 30 years costs $418,527 in interest — more than the home itself. Knowing this drives the decision to make extra payments, choose shorter terms, or prioritise paydown vs. investing the surplus.
The payoff date this calculator provides makes the abstract concrete: you can see exactly which month you'll make your last payment and how much sooner you'd finish with an extra $100/month.
Fórmula
Monthly Payment = P × r × (1+r)^n / [(1+r)^n - 1]
Exemplo Resolvido
Comparing 48-month vs 72-month auto loan on a $28,000 vehicle at 7.9% APR
Entradas:
- Loan amount: $28,000
- APR: 7.9%
- Option A: 48-month term
- Option B: 72-month term
Passo a Passo:
- 48-month payment: $28,000 × 0.006583 × 1.006583^48 / (1.006583^48 − 1) = $682/month
- 48-month total paid: $682 × 48 = $32,736 | Interest: $4,736
- 72-month payment: $28,000 × 0.006583 × 1.006583^72 / (1.006583^72 − 1) = $484/month
- 72-month total paid: $484 × 72 = $34,848 | Interest: $6,848
- Monthly saving: $198/month for 72-month | Extra interest cost: $2,112
Dicas
- Compare loans using APR (Annual Percentage Rate), not just the monthly payment — APR includes fees and gives the true cost of borrowing.
- Shorter loan terms have higher monthly payments but significantly less total interest paid.