Loan Calculator

Calculate the payment and total interest on any fixed-rate loan — amortized with regular payments, deferred to a lump sum at maturity, or bond-style with a fixed amount due — with your choice of compounding and payback frequency, and a year-by-year breakdown.

Loan type

The same payment every period until the balance is zero: mortgages, car loans, personal loans.

$
years
months
%

Payment every month

$500.95

60 payments · compounded monthly

  • Principal (83.2%)
  • Interest (16.8%)
  • Loan amount$25,000
  • Total of 60 payments$30,057
  • Total interest$5,057
  • Effective annual rate7.763%
  • Payment every month$500.95

How this was calculated

Payment = P × i ÷ (1 − (1 + i)^−n)

i per month = (1 + r ÷ c)^(c ÷ p) − 1 = 0.62500% · n = 60

$25,000 × 0.0062500 ÷ (1 − 1.0062500^−60) = $500.95

How loan payments work

Most consumer loans are amortizing: you make the same payment every month, and each payment covers the interest accrued since the last one with the remainder reducing the balance. Because the balance shrinks over time, the interest portion falls and the principal portion grows, even though the total payment never changes.

That structure explains a fact borrowers often find surprising. In the first year of a long loan, the large majority of each payment can go to interest. Halfway through the term you may have paid off far less than half the balance.

Payment by term — $25,000 at 7.5%, monthly
TermMonthly paymentTotal interestTotal repaid
1 year$2,168.94$1,027$26,027
2 years$1,124.99$2,000$27,000
3 years$777.66$2,996$27,996
5 years$500.95$5,057$30,057
7 years$383.46$7,210$32,210
10 years$296.75$10,611$35,611

Three kinds of loan

Not every loan is repaid in instalments. A deferred payment loan is left untouched until maturity, when principal and all the compounded interest fall due at once — the structure of many short-term business loans and some student loans during study. A bond works the other way round: the amount due at maturity is fixed, and the question is how much should change hands today, which is a present-value calculation. The calculator handles all three; the table shows how differently the same $10,000 at 7% behaves under each.

The same $10,000 at 7% over 5 years, compounded monthly, under each structure
StructurePaymentsTotal interestTotal repaidNotes
Amortized$198.01 every month$1,881$11,881Balance falls with every payment; interest front-loaded
Deferred paymentNothing until maturity$4,176$14,176Interest compounds on the untouched balance
Bond (repay $10,000 at maturity)Nothing until maturity$2,946$10,000Lend $7,054 today to receive $10,000 in 5 years

Compounding and payback frequency

The rate a lender quotes is nominal. How often interest is compounded determines the effective annual rate you actually pay, and how often you pay back determines how the schedule runs. When the two differ — monthly compounding with biweekly payments, say — the per-payment rate is the compounding growth over one payment interval, not the nominal rate simply divided by the number of payments. The calculator does that conversion for you.

The effect of frequency is real but smaller than most people expect. At 7%, moving from annual to daily compounding adds about a quarter of a percentage point to the effective rate; continuous compounding, the mathematical limit, adds almost nothing more.

Effective annual rate for a 7% nominal rate
CompoundedEffective annual rate
Annually7.0000%
Semi-annually7.1225%
Quarterly7.1859%
Monthly7.2290%
Weekly7.2458%
Daily7.2501%
Continuously7.2508%

APR versus interest rate

The interest rate is the cost of borrowing the principal. The annual percentage rate, or APR, includes the interest rate plus origination fees and other required charges, so it reflects the true cost of the loan. A 7% loan with a 5% origination fee is more expensive than an 8% loan with no fees.

Lenders in the United States must disclose APR, which makes it the correct number for comparing offers. Compare APR to APR, and check whether any origination fee is deducted from your proceeds — if you borrow $10,000 with a 5% fee and receive $9,500, you are paying interest on money you never got.

How a fee changes the real cost — $10,000 over 3 years
Quoted rateFeeMonthly paymentCash receivedAPRNotes
7.0%None$308.77$10,0007.00%Rate and APR agree when there are no fees
7.0%2% origination ($200)$308.77$9,8008.37%Same payment, less money in hand
7.0%5% origination ($500)$308.77$9,50010.50%Dearer than the 9% loan below
9.0%None$318.00$10,0009.00%Higher rate, but the honest comparison is APR to APR

Fixed versus variable rates

A fixed rate never changes, so your payment is predictable for the entire term. A variable rate is tied to an index and can move, which usually means a lower starting rate and the risk of higher payments later. For short terms the difference in expected cost is small; over long terms a variable rate transfers meaningful interest-rate risk to you. Most personal and auto loans are fixed; home equity lines and many student loans are variable.

Secured and unsecured loans

A secured loan is backed by collateral the lender can take if you default — the house behind a mortgage, the car behind an auto loan. That security is why secured loans carry lower rates and longer terms. Unsecured loans rest on your credit alone, so lenders price in more risk: rates are higher, amounts smaller, and terms shorter.

Secured versus unsecured borrowing
SecuredUnsecured
ExamplesMortgage, auto loan, home equity loanPersonal loan, credit card, most student loans
CollateralRequired; lender can repossess or forecloseNone; lender relies on your credit
Typical ratesLowest available for your creditSeveral points higher; very wide range by credit score
Typical termsLong — 5 to 30 yearsShort — 1 to 7 years
ApprovalDepends on collateral value and creditDepends almost entirely on credit and income
Risk to youLosing the assetDamaged credit and collection action

Reducing what you pay

Three levers control total interest: the rate, the term, and extra payments. Improving your credit score before applying is the highest-leverage move — the spread between excellent and fair credit on a personal loan is often 10 percentage points or more. Choosing the shortest term you can comfortably afford cuts interest sharply. And any extra amount applied to principal removes all the future interest that principal would have generated.

If you pay extra, confirm with your servicer that the money is applied to principal rather than held as a prepaid future installment. The distinction changes whether you actually save interest.

Frequently asked questions

How is a monthly loan payment calculated?

With the amortization formula M = P × [r(1+r)^n] / [(1+r)^n − 1], where P is the principal, r is the interest rate per payment period, and n is the number of payments. The calculator above applies this — converting the rate correctly when compounding and payment frequency differ — and also totals the interest across the full term.

What is a deferred payment loan?

One where nothing is repaid until maturity. Interest compounds on the untouched balance, so the amount due at the end is the principal multiplied by the growth factor for the term — far more than the same loan repaid in instalments would cost, because no principal is retired along the way.

Why does the calculator have a bond option?

Because it is the same arithmetic run backwards. With a bond you know the amount due at maturity and the rate, and want the fair amount to lend or borrow today — the present value. It is useful for zero-coupon bonds, promissory notes, and any deal phrased as 'I will pay you X in N years'.

What is the difference between APR and interest rate?

The interest rate is the cost of borrowing the principal alone. APR adds mandatory fees such as origination charges, so it is higher than the interest rate whenever fees exist and represents the loan's true annual cost. Always compare offers by APR.

How much does compounding frequency matter?

Less than the choice of rate or term. At 7%, annual compounding gives an effective rate of 7.00%, monthly 7.23%, daily 7.25%, and continuous compounding barely more. It matters more on deferred loans, where interest compounds on the whole balance for the entire term.

Does paying extra on a loan save money?

Yes, provided the extra amount is applied to principal. Reducing the balance eliminates every future interest charge that balance would have accrued, so extra payments made early save the most. Verify with your lender that extra payments reduce principal rather than being applied to a future installment.

What is a good interest rate on a personal loan?

It depends heavily on credit. Borrowers with excellent credit often see high single digits, while fair credit commonly lands in the high teens or twenties. Because the range is so wide, getting quotes from several lenders is worthwhile — many offer a rate estimate using a soft credit check that does not affect your score.

Last reviewed . Results are estimates for informational purposes only.