This calculator estimates a fixed-rate loan’s monthly payment and total interest from the loan amount, APR, and term; it does not split each individual payment into principal and interest. That split depends on the balance and payment schedule, so the figures below give the overall cost and a starting point for understanding an amortization schedule.
Formula
The calculator uses the standard level-payment loan formula. The monthly payment equals the principal multiplied by the monthly interest rate, divided by one minus (one plus the monthly rate) raised to the negative number of payments:
PMT = P × r / [1 − (1 + r)−n]
- P is the starting loan principal, in dollars.
- r is the monthly interest rate as a decimal: APR ÷ 1,200.
- n is the number of monthly payments: years × 12.
- PMT is the calculated monthly payment, in dollars.
Total interest is estimated as the rounded monthly payment multiplied by the number of payments, minus the original principal: Total interest = PMT × n − P. The payment is rounded to cents before the total is calculated, as specified by the calculator.
Worked Example
Using the calculator’s default inputs—$20,000 principal, 8% APR, and a five-year term:
- Convert APR to a monthly decimal rate: 8 ÷ 1,200 = 0.0066667.
- Find the number of payments: 5 × 12 = 60.
- Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $405.53 per month, rounded to cents.
- Calculate total interest using that rounded payment: $405.53 × 60 − $20,000 = $4,331.80.
These are estimates under the stated assumptions. A lender’s actual schedule can differ because of payment dates, rounding, fees, or other contract terms.
Assumptions
- The interest rate stays fixed for the entire term.
- There are equal monthly payments, made at the end of each monthly period.
- Interest is modelled monthly at APR ÷ 12.
- The calculation excludes fees, taxes, insurance, PMI, and escrow.
Principal and Interest: What Each Payment Does
Principal payment is the part of a payment that reduces the amount borrowed. Interest payment is the charge for borrowing the unpaid balance over a period. These are two parts of a loan payment, not two alternative types of loan.
For a typical amortizing loan with a fixed rate and equal scheduled payments, the interest due for a period is based on the outstanding principal. Early in repayment, the balance is relatively high, so more of the payment usually covers interest. As the balance falls, less interest accrues per period and more of the same scheduled payment goes toward principal. This gradual change is called amortization.
For example, at 8% APR, the first month’s interest on $20,000 is about $133.33 under a monthly-rate calculation ($20,000 × 0.08 ÷ 12). From a $405.53 payment, about $272.20 would reduce principal. The next month’s interest is calculated on the smaller remaining balance, assuming no other charges or changes. The calculator above estimates the payment and total interest; it does not produce those month-by-month portions.
How to Read an Amortization Schedule
An amortization schedule lists each payment period, the amount paid, the interest charged, the principal reduction, and the remaining balance. A simplified period calculation is:
- Interest for the period = starting balance × periodic interest rate.
- Principal paid = payment amount − interest for the period.
- Ending balance = starting balance − principal paid.
Actual contracts may use daily interest accrual, different payment timing, or specific rounding conventions, so a lender’s schedule may not match this simplified illustration exactly. Check whether displayed amounts are rounded and whether a quoted payment includes items such as escrow or insurance. Those items are not principal or interest, even if collected alongside a loan payment.
Extra Principal, Interest-Only Payments, and Common Confusion
An extra amount applied directly to principal can lower the balance used to calculate later interest. Depending on the loan terms and how the payment is processed, it may reduce the repayment time or total interest, but it does not necessarily change the required scheduled payment. Confirm how a servicer applies extra funds and whether any conditions or charges apply; those details are not modelled here.
An interest-only payment covers interest due for a period without reducing principal. If no principal is repaid, the balance does not fall through those payments, and interest can continue to accrue on the same principal. Such a payment is therefore not equivalent to an ordinary amortizing payment. A payment can also include charges beyond principal and interest, so the amount withdrawn from an account may exceed the loan’s calculated payment.
A frequent misconception is that a fixed monthly payment contains the same amount of interest every month. The payment can remain level while its allocation changes. Another is that the whole payment reduces debt: only its principal portion does that. Reviewing the balance and allocation, rather than just the payment amount, clarifies what is being repaid.
When the Calculator Is Useful—and Its Limits
Use this estimate to see how principal, APR, and term enter a level-payment calculation, or to check a hypothetical schedule using figures supplied by a lender. Enter the loan amount rather than a total that includes unrelated costs, and enter an annual APR as a percentage (for example, 8 for 8%, not 0.08). The formula assumes regular monthly periods and a fixed rate; it is not designed for variable-rate loans, irregular payments, balloon payments, or interest-only periods.
The output is not a loan offer, approval estimate, or complete measure of borrowing cost. A quoted APR or payment may reflect terms not represented by this formula, while fees and optional or required add-ons can affect the amount paid. Obtain the actual rate, payment schedule, and charges from the lender, and compare the disclosed figures with the assumptions before relying on the estimate.
Frequently Asked Questions
Is principal payment the same as interest payment?
No. Principal payment reduces the amount owed; interest payment covers the cost of borrowing for a period. A standard amortizing payment usually contains both.
Which part of a loan payment reduces the balance?
The principal portion reduces the loan balance. Interest and other charges do not reduce principal.
Why does more of my payment go to interest at first?
Interest is calculated on the outstanding balance. At the start, that balance is larger, so the interest portion is generally larger; as principal is repaid, the interest portion tends to decline.
Does paying extra principal reduce the monthly payment?
Not necessarily. Extra principal can affect the remaining balance and repayment timeline, but the scheduled payment may stay the same. The outcome depends on loan terms and how the extra amount is applied.
Can a payment cover only interest?
Yes, under an interest-only arrangement or when a payment is insufficient to reduce principal. In that case, the balance does not decline from principal repayment; unpaid interest may also be treated according to the contract.
Does this calculator show the interest and principal split?
No. It estimates the level monthly payment and total interest for the full term. A month-by-month amortization schedule is needed to show each period’s split.
This result is an estimate, and the lender’s disclosure gives the exact figures.
Related
Formula used
in p | Loan amount | $ | 20000 | 1 | 100000000 in apr | Interest rate (APR) | % | 8 | 0.01 | 100 in yrs | Loan term | years | 5 | 0.0833 | 50 out pmt | Monthly payment | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 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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