Loan Payoff Equation:
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This calculator determines how much faster you can pay off a loan by making additional monthly payments. It shows the new payoff time, months saved, and total interest savings.
The calculator uses an iterative approach to solve:
Where:
Explanation: The calculator simulates each month's payment, applying extra amounts to principal until the balance reaches zero.
Details: Understanding the impact of extra payments helps borrowers save thousands in interest and become debt-free faster.
Tips: Enter the original loan amount, interest rate, term, and your planned extra payment. All values must be positive numbers.
Q1: How much extra should I pay to cut my loan in half?
A: The relationship isn't linear, but typically paying double your regular payment will pay off the loan in about 1/3 the time.
Q2: Is it better to pay extra monthly or make lump sum payments?
A: Mathematically equivalent if applied at the same time, but monthly extra payments are easier to budget for most people.
Q3: Do extra payments automatically go toward principal?
A: You must specify they should be applied to principal - check with your lender about their policies.
Q4: Are there loans where extra payments don't help?
A: Precomputed interest loans (like some auto loans) may not benefit from early payoff - check your loan terms.
Q5: Should I pay off loans early or invest?
A: Depends on interest rates - generally pay off high-interest debt (>6-7%) before investing.