This $5,000 personal loan calculator estimates the monthly payment and total interest for a fixed-rate loan. Enter the loan amount, annual percentage rate (APR), and term to see the payment and the interest total; the default amount is $5,000.
Formula
The calculator uses the standard fixed-payment amortization formula. First, it converts the annual APR to a monthly rate and the loan term in years to a number of monthly payments:
r = APR / 1200n = years × 12Payment = round(P × r / (1 − (1 + r)−n), 2)Total interest = Payment × n − P
P is the amount borrowed in dollars, APR is the annual percentage rate entered as a percentage, r is the monthly interest rate as a decimal, n is the number of monthly payments, and Payment is the amount due each month in dollars. The payment is rounded to the nearest cent before total interest is calculated. The formula assumes the stated APR is the rate used for monthly interest; it does not add a separate fee-financed amount.
Worked Example
With the default inputs, the principal is $5,000, the APR is 8%, and the term is 5 years.
- Convert the APR to a monthly decimal rate:
r = 8 / 1200 = 0.0066666667. - Convert the term to payments:
n = 5 × 12 = 60. - Substitute into the payment formula:
5000 × 0.0066666667 / (1 − (1 + 0.0066666667)−60). - The monthly payment, rounded to cents, is $101.38.
- Total interest uses that rounded payment:
$101.38 × 60 − $5,000 = $1,082.80.
These results describe the formula’s scheduled payments under the listed assumptions. A lender’s actual payment schedule may differ if the quoted APR, amount financed, payment dates, or fees differ.
Assumptions
- The interest rate stays fixed for the full term.
- Payments are equal monthly payments, made at the end of each monthly period.
- Interest compounds monthly using APR divided by 12.
- The calculation excludes origination or other fees, taxes, insurance, and any optional products; these are not inputs.
When to Use This Calculator
Use it to estimate the scheduled payment and interest for a proposed fixed-rate personal loan, or to see how changing the amount, APR, or repayment term changes the arithmetic. It can also help you check a quoted payment when the lender’s figures use the same principal, rate, term, and payment schedule. Enter the actual figures supplied by the lender rather than treating the default 8% APR as a current or expected offer.
The calculator is specifically set up with a $5,000 default, but its amount field allows other positive loan amounts. If you change the principal, the result is no longer an estimate for a $5,000 loan. The term field is in years, so enter a term such as 3 for three years; do not enter 36 to mean 36 months. The APR field expects a percentage, so enter 8 for 8%, not 0.08.
How to Read the Results
Monthly payment is the level payment produced by the formula. In an amortizing loan, each payment covers interest accrued for the period and reduces principal by the remainder. Early payments generally have a larger interest share than later payments under this fixed-rate model, while the total payment remains level.
Total interest is the sum of the rounded monthly payments minus the original principal. It is not the total amount repaid: add the principal to the interest to get scheduled payments over the full term. With the default example, scheduled payments total $6,082.80, consisting of $5,000 principal and $1,082.80 interest. Because the monthly payment is rounded to cents, the last payment on a real schedule may be adjusted slightly to clear the remaining balance.
Common Input Mistakes and Limits
Check the units before comparing results. APR is entered as a yearly percentage, the term is entered in years, and the principal and outputs are dollars. A percentage entered as a decimal rather than a whole percentage makes the result incorrect. Likewise, entering months in the years field multiplies the intended term by 12.
Rounding is another reason a hand calculation can differ by a few cents. This calculator rounds the monthly payment to cents first and uses that rounded payment to calculate total interest, as shown in the example. Lender statements can also reflect daily interest accrual, a different first-payment interval, financed fees, or a final-payment adjustment, none of which are represented here.
The formula models a fully amortizing loan with a positive APR, fixed payments, and no extra payments, skipped payments, or rate changes. It does not determine whether a loan will be offered or what its actual terms will be. Rates, fees, and other loan figures should come from the lender’s disclosure. This result is an estimate; the lender’s disclosure gives the exact figures.
How to Choose
For a meaningful estimate, use the principal actually financed, the quoted APR, and the repayment term offered for the loan. Confirm whether any fee is deducted from the money received or added to the amount financed, since either treatment can make the lender’s figures differ from this calculator. Compare the payment and total interest as separate outputs, and verify that the lender’s payment schedule and first due date match the assumptions here. This tool is arithmetic for education, not financial advice or a recommendation to take, refuse, or select a loan.
Frequently Asked Questions
What is the monthly payment on a $5,000 personal loan?
It depends on the APR and term. At the calculator’s default 8% APR over five years, the estimated payment is $101.38 per month.
How much interest does the default example cost?
Using the rounded $101.38 payment for 60 months, estimated total interest is $1,082.80.
Does the result include fees?
No. Fees are not inputs, so the calculation does not include them or any effect they might have on the amount financed.
Why can a lender’s payment differ?
The lender may use different loan terms, payment timing, fee treatment, or interest accrual conventions. Use the figures and schedule in the lender’s disclosure for the exact amount.
Can I use the calculator for a variable-rate loan?
The formula assumes a fixed APR for the entire term. It cannot model future rate changes or the resulting changes to payments and interest.
Final Thoughts
Enter the loan’s actual principal, APR, and term to estimate a fixed monthly payment and the interest implied by those inputs. Treat the result as a calculation, then check the lender’s disclosure for the loan’s exact terms and payment schedule.
Related
Formula used
in p | Loan amount | $ | 5000 | 1 | 100000000 in apr | Interest rate (APR) | % | 8 | 0.01 | 100 in yrs | Loan term | years | 5 | 0.0833 | 50 out pmt | Monthly payment | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2 out int | Total interest | $ | pmt * yrs * 12 - p | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.
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