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Payment, interest and schedule for any kind of loan, with any compounding.
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Payments for amortized, deferred and bond-type loans
Payment every month
$1,110.21
- Total of 120 payments
- $133,224.60
- Total interest
- $33,224.60
- Rate per payment period
- 0.5%
- Effective annual rate (APY)
- 6.168%
- Principal$100,000
- Interest$33,225
- Balance
- Interest paid
- Principal paid
How it was calculated
- Rate per period i = 0.5%
- Payment = P × i / (1 - (1 + i)^-n) = $100,000.00 × 0.005 / (1 - (1 + 0.005)^-120) = $1,110.21
| Period | Payment | Interest | Principal | Balance |
|---|---|---|---|---|
| Year 1 | $13,322.46 | $5,795.24 | $7,527.22 | $92,472.78 |
| Year 2 | $13,322.46 | $5,330.98 | $7,991.48 | $84,481.29 |
| Year 3 | $13,322.46 | $4,838.08 | $8,484.38 | $75,996.91 |
| Year 4 | $13,322.46 | $4,314.78 | $9,007.68 | $66,989.23 |
| Year 5 | $13,322.46 | $3,759.21 | $9,563.25 | $57,425.98 |
| Year 6 | $13,322.46 | $3,169.37 | $10,153.09 | $47,272.88 |
| Year 7 | $13,322.46 | $2,543.14 | $10,779.32 | $36,493.57 |
| Year 8 | $13,322.46 | $1,878.30 | $11,444.16 | $25,049.41 |
| Year 9 | $13,322.46 | $1,172.45 | $12,150.01 | $12,899.40 |
| Year 10 | $13,322.46 | $423.06 | $12,899.40 | $0.00 |
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How the loan calculator works
An amortized loan is repaid in equal payments that cover interest first and then principal: payment = P × i / (1 - (1 + i)^-n), with i the rate per payment period and n the number of payments. Car loans, mortgages and personal loans work this way.
A deferred payment loan is repaid all at once at the end, so interest compounds on the full balance: amount due = P × (1 + rate)^years. A bond or zero-coupon loan is the reverse: you know what's due at maturity and the calculator finds what it's worth today.
When the compounding and payment frequencies differ (say, interest compounded daily but paid monthly), the rate is converted to the effective rate per payment period first.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
This is an educational estimate, not a lender quote, tax filing calculation or investment recommendation. Actual costs depend on current rules, fees and your circumstances. Verify important decisions with official sources and a qualified adviser.
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