Loan Calculator
Find the payment on an amortized loan for any payment and compounding frequency, or what a lump-sum loan owes or pays.
Change the values and press Calculate to work out your own figures.
Amortized loan
Enter the amount, rate and term.
| Year | Interest | Principal | Balance |
|---|---|---|---|
| 1 | $5,795.22 | $7,527.30 | $92,472.70 |
| 2 | $5,330.96 | $7,991.56 | $84,481.14 |
| 3 | $4,838.09 | $8,484.43 | $75,996.71 |
| 4 | $4,314.76 | $9,007.76 | $66,988.95 |
| 5 | $3,759.18 | $9,563.34 | $57,425.61 |
| 6 | $3,169.33 | $10,153.19 | $47,272.42 |
| 7 | $2,543.10 | $10,779.42 | $36,493.00 |
| 8 | $1,878.26 | $11,444.26 | $25,048.74 |
| 9 | $1,172.41 | $12,150.11 | $12,898.63 |
| 10 | $423.02 | $12,898.63 | $0.00 |
Show the working
- payment = P × i ÷ (1 − (1 + i)^−n)
- each payment: interest = balance × i (to the cent), the rest repays principal
Lump sum due at maturity
Enter the amount, rate and term.
Show the working
- due = amount × (1 + i)^n
Amount received for a sum due
Enter the amount due, rate and term.
Show the working
- received = due ÷ (1 + i)^n
How to use it
Enter the amount, rate and term. Enter the amount, rate and term. Enter the amount due, rate and term.
Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.
Key facts
payment = P × i ÷ (1 − (1 + i)^−n), i = the equivalent rate per payment deferred = P × (1 + i)^n; bond = due ÷ (1 + i)^n
Questions
What is the monthly payment on $100,000 at 6% for 10 years?
$1,110.21.
Formulas
payment = P × i ÷ (1 − (1 + i)^−n), i = the equivalent rate per payment deferred = P × (1 + i)^n; bond = due ÷ (1 + i)^n
Sources
Limitations
- Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
- Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.