Math
Loan Calculator
Before you sign the dotted line on a car loan, personal loan, or fixed-rate mortgage, you should know exactly how much money you're going to pay in interest over the life of the loan — because that number is almost always bigger than people expect. A $25,000 car loan at 7.5% APR for 5 years costs $5,053 in interest — you're paying $30,053 for a $25,000 car. This calculator runs the standard amortizing loan formula and gives you the monthly payment, total interest, and total cost. Works for any fixed-rate fully-amortizing loan with monthly payments.
The amortization formula
Monthly payment formula for a fixed-rate amortizing loan:
M = P × i × (1+i)^n / ((1+i)^n – 1)
Where P = loan amount, i = monthly interest rate (annual rate / 12), n = total number of payments. Every monthly payment splits into interest (on the remaining balance) and principal (paid down). Early in the loan, payments are mostly interest; late in the loan, mostly principal.
Worked example: $25,000 loan at 7.5% APR for 60 months. i = 0.075/12 = 0.00625. Monthly payment = $501. Total paid = $30,053. Interest = $5,053. The first month's interest is $156; the last month's interest is $3. Same payment, very different breakdown.
Strategies to cut total interest
- Larger down payment: less principal financed = less interest, period.
- Shorter term: a 15-year mortgage at the same rate cuts total interest in half vs 30-year. Higher monthly payment, but the math is dramatic.
- Extra principal payments: every extra dollar paid toward principal saves you the interest that dollar would have accrued. On a 30-year mortgage, one extra payment per year cuts ~4 years off the loan.
- Lower rate (refinance): dropping 1% on a 30-year mortgage saves ~10% in total cost. Worth the closing costs only if you'll stay long enough to break even.
- Bi-weekly payments instead of monthly: technically 13 monthly payments per year instead of 12, equivalent to one extra payment annually. Same math as the extra-payment strategy.
How to use this calculator
- Loan amount: principal being borrowed.
- Annual interest rate (%): the APR, not the monthly rate.
- Term in years (or override with months).
- Output: monthly payment, total interest, total paid.
- For mortgages, this is P&I only — add property tax and homeowners insurance (escrowed PITI is the full housing payment).
Common scenarios
$30,000 new car loan at 6.5% APR for 5 years (60 months). Monthly payment $587. Total paid $35,217. Interest $5,217. Manageable on a $60K household income.
$15,000 personal loan at 12% APR for 4 years. Monthly $395. Total paid $18,964. Interest $3,964. Personal loan rates are typically much higher than secured loans — paying off credit card debt with a personal loan at 12% beats keeping the cards at 22%, but it's still expensive money.
$320,000 mortgage at 6.75% for 30 years. P&I payment $2,075. Total paid $747,051. Interest $427,051. You're paying 2.3x the home price over 30 years to interest alone. Add ~$400/month for property tax and insurance escrow = real total housing cost $2,475/month.
FAQ
Why does total interest feel so high? +
Does this include taxes/insurance? +
APR vs interest rate — what's the difference? +
Can I deduct mortgage interest on my taxes? +
What's the difference between fixed and adjustable rate? +
Are there prepayment penalties? +
Should I take a longer term for lower payments? +
What's the right loan term for a car? +
Heads up: ClutchCalcs gives you fast, accurate results — but always sanity-check critical decisions (medical, financial, structural) with a professional.
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