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Loans & Mortgages

How To Calculate A Personal Loan Payment

A personal loan is priced like any other amortising loan: the same formula that sets a mortgage payment sets a personal loan payment. What changes is the term, the rate and how much interest the term adds.

Quick Answer

Payment = Loan x r / (1 - (1 + r)^-n), where r is APR / 12 and n is months

Loan
Amount borrowed
r
Monthly rate, the APR divided by twelve
n
Number of monthly payments
Payment
Fixed monthly instalment

Divide the APR by twelve to get the monthly rate, then apply the amortisation formula to spread the loan into equal instalments. A 15,000 loan at 10.5% over 60 months costs about 322 a month, or 19,345 in total, of which 4,345 is interest.

What Is A Personal Loan Payment?

A personal loan is an unsecured instalment loan: the lender advances a lump sum and the borrower repays it in equal monthly instalments over a fixed term. Because it is unsecured, the rate depends mainly on the borrower's creditworthiness rather than on collateral.

The monthly payment is set by the amortisation formula, the same one used for mortgages, car loans and student loans. It takes the amount borrowed, the monthly interest rate and the number of payments, and returns the fixed instalment that clears the loan exactly at the end of the term.

Each instalment contains interest and principal. The interest is the monthly rate multiplied by the outstanding balance, and the remainder of the payment reduces the principal. Early on the interest share is large; as the balance falls, more of each payment goes to principal.

The total interest is the sum of all payments minus the amount borrowed. It is the true cost of the loan, and it is far more meaningful than the monthly payment alone, because a longer term can lower the payment while raising the total cost sharply.

The APR is the headline rate and should include most fees, which makes it the right figure to compare offers on. A loan with a lower nominal rate but a large origination fee can be more expensive than one with a slightly higher rate and no fee, and the APR is designed to expose exactly that.

Term length is the main trade-off. Stretching a loan from 36 to 60 months cuts the monthly payment by a large margin but raises the interest bill even more in percentage terms, so the longer term feels affordable while costing the most.

The interest as a share of the loan is a useful sanity check. Paying 4,345 of interest on 15,000 borrowed is nearly 29% of the principal. That figure makes the cost concrete in a way that a monthly payment does not.

Personal loan rates vary widely with credit score. Borrowers with excellent credit may qualify for rates in the single digits, while those with weaker credit can pay several times more. Checking the rate before borrowing, and improving credit first, can save a great deal.

Prepayment is usually allowed without penalty on personal loans, and paying early reduces the total interest because less of the balance remains to accrue charges. Unlike some mortgages, personal loans rarely carry prepayment penalties.

A fixed rate means the payment never changes, which makes budgeting straightforward. The trade-off is that a variable-rate alternative could become cheaper if rates fall, though it could also become more expensive if they rise.

Comparing offers means looking beyond the payment. Two loans with the same monthly payment can have very different APRs and total costs, and a longer term can disguise a higher rate. The comparison should always include the APR, the total interest and the total repayment.

The calculator models the figures entered and nothing else. It does not know the fees, the credit score or the lender's own pricing, so use it to compare scenarios and sanity-check quotes rather than as a substitute for a loan offer.

The most common mistake is choosing the loan with the lowest monthly payment. That usually means the longest term and the highest total cost. The cheapest loan is the one with the lowest total repayment for a term you can comfortably afford.

Formula

Payment = Loan x r / (1 - (1 + r)^-n)

The amortisation formula that spreads the loan into equal instalments.

SymbolMeaning
LLoan amount
rMonthly rate
nPayments

Interest = Payment x n - Loan

Everything repaid above the amount borrowed.

SymbolMeaning
MPayment
nPayments

How To Calculate A Personal Loan Payment

  1. 1

    Note the amount, APR and term

    Use the amount you will actually receive, the APR the lender quoted, and the term in months. The APR should include fees.

  2. 2

    Convert the APR to a monthly rate

    Divide the APR by twelve. At 10.5% the monthly rate is 0.00875.

  3. 3

    Apply the payment formula

    Divide loan times monthly rate by one minus (1 + monthly rate) to the power of minus the number of months. That is the fixed instalment.

  4. 4

    Total the repayment

    Multiply the payment by the number of months to get the total repaid, then subtract the loan to isolate the interest.

  5. 5

    Compare offers on total cost

    Use the APR and the total interest, not the monthly payment, to compare loans. A lower payment often hides a longer, more expensive term.

Examples

Example 1: 15,000 at 10.5% over 60 months

Loan amount
15,000
Interest rate (APR)
10.5%
Term
60 months
StepCalculationResult
Monthly rate10.5 / 120.875%
Monthly paymentloan payment formula322.41
Total repaid322.41 x 6019,344.51
Total interest19,344.51 - 15,0004,344.51
Interest as a share of the loan4,344.51 / 15,000 x 10028.96%

Result: The payment is 322.41 a month, the total repaid is 19,344.51, and the interest of 4,344.51 is 28.96% of the amount borrowed.

Example 2: 25,000 at 8.5% over 48 months

Loan amount
25,000
Interest rate (APR)
8.5%
Term
48 months
StepCalculationResult
Monthly rate8.5 / 120.708%
Monthly paymentloan payment formula616.21
Total repaid616.21 x 4829,577.96
Total interest29,577.96 - 25,0004,577.96
Interest as a share of the loan4,577.96 / 25,000 x 10018.31%

Result: A larger loan over a shorter term at a lower rate pays 616.21 a month, repays 29,577.96 in total, and costs 4,577.96 of interest, which is 18.31% of the amount borrowed.

Calculator

Monthly payment

$322.41

Total repaid
$19,344.51
Total interest
$4,344.51
Interest as share of the loan
2896.34%

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the A Personal Loan Payment calculator page.

Common Mistakes

  • Choosing the lowest monthly payment

    The lowest payment usually means the longest term and the highest total interest. Compare total repayment, not the instalment.

  • Comparing nominal rates instead of APRs

    The APR includes most fees and is the fair basis for comparison. A lower nominal rate with a big origination fee can cost more than a slightly higher rate with none.

  • Stretching the term to afford the loan

    A longer term lowers the payment but raises the interest sharply. The interest as a share of the loan is the number that exposes the real cost.

  • Borrowing more than needed

    Taking a larger loan than the purpose requires adds interest for no benefit. Borrow the amount you need and no more.

  • Ignoring the effect of credit score on the rate

    The rate depends heavily on creditworthiness. Improving your score before applying can cut the rate by several points and save a great deal.

  • Overlooking fees in the total cost

    Origination and processing fees are part of the cost even though they are not interest. Include them when comparing offers.

  • Not checking prepayment terms

    Most personal loans allow penalty-free prepayment, but confirming avoids surprises and lets you pay off early to cut interest.

FAQ

How is a personal loan payment calculated?

With the amortisation formula: loan times monthly rate divided by one minus (1 + monthly rate) to the power of minus the number of months. A 15,000 loan at 10.5% over 60 months is about 322 a month.

What APR should I expect?

It depends on your credit score and the lender. Borrowers with excellent credit may see single-digit rates, while weaker credit can mean several times that. The APR should include fees.

Is a longer or shorter term better?

A shorter term has a higher payment but far less total interest. Choose the shortest term whose payment you can comfortably afford.

Can I pay off a personal loan early?

Usually yes, without penalty. Paying early reduces the total interest because less of the balance remains to accrue charges.

Does a personal loan affect my credit score?

Taking one adds a hard inquiry and a new account, which can dip your score slightly at first, but on-time payments build a positive history over time.

How much can I borrow?

It depends on income, existing debt and credit history. Lenders typically cap the payment at a share of income, and the APR rises as the amount or risk increases.

References

  1. [1]Consumer Financial Protection Bureau, Personal loans — https://www.consumerfinance.gov/consumer-tools/loans/
  2. [2]Investopedia, What is a personal loan? — https://www.investopedia.com/terms/p/personalloan.asp
  3. [3]Consumer Financial Protection Bureau, Understand your loan costs — https://www.consumerfinance.gov/ask-cfpb/