Daily Loan Amortization Schedule Calculator

A daily loan amortization schedule shows how each day’s interest changes a loan balance and how payments reduce it over time. Enter the loan amount, APR, and term below to estimate the level monthly payment and total interest; this calculator uses monthly payment periods, not a separate daily payment schedule.

Formula

This calculator estimates a fixed monthly installment for a loan with monthly compounding at APR divided by 12. The payment formula is:

Payment = P × r ÷ [1 − (1 + r)−n]

• P is the starting principal, in dollars.
• r is the monthly interest rate as a decimal: APR (%) ÷ 1,200.
• n is the number of monthly payments: loan term in years × 12.
• Payment is the estimated monthly amount, in dollars.

Estimated total interest is Payment × n − P. The calculator displays the payment to the nearest cent; the stated total interest uses that displayed payment, so rounding may leave a small difference from a lender’s final accounting.

Worked Example

Using the calculator’s default inputs—$20,000 principal, 8% APR, and 5 years—the monthly rate is 0.08 ÷ 12 = 0.0066667, and the number of payments is 5 × 12 = 60.

Substitute those values into the payment formula:

$20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] ≈ $405.53

The estimated total of the 60 rounded payments is $405.53 × 60 = $24,331.80. Subtracting the $20,000 principal gives estimated total interest of $4,331.80.

Assumptions

• The interest rate stays fixed for the full term.
• Payments are equal, made monthly, and applied at the end of each monthly period.
• Interest compounds monthly at APR ÷ 12; this is not a daily-accrual calculation.
• Fees, taxes, insurance, PMI, escrow, and other charges are not included.

What a Daily Amortization Schedule Shows

A daily schedule lays out a balance for each calendar day or accrual period, rather than showing only monthly payment dates. It can help explain why interest changes when a payment arrives, a payment is late, or the number of days between transactions varies. The phrase “daily amortization” can describe different lender methods, so the contract or lender disclosure determines the actual day-count convention and payment treatment.

In a simple daily-interest model, interest for a period is approximately the outstanding principal multiplied by an annual rate and the fraction of a year that has passed. Some calculations use a 365-day year; others may use a different convention or account for leap years. A daily model may therefore need the dates, the loan’s day-count rule, transaction timing, and payment allocation—not only principal, APR, and term.

The calculator above answers a related but narrower question: it estimates a level monthly payment under a standard monthly-rate formula. It does not create individual daily entries, and its output should not be presented as an exact daily ledger.

How Monthly Amortization Works

Each scheduled payment first covers interest accrued for that period. The remainder reduces principal. Because the balance falls over time, the interest portion generally becomes smaller and the principal portion larger, while the scheduled payment stays level when the rate and payment terms are fixed.

For example, the first month’s estimated interest on the default $20,000 balance is about $20,000 × 0.08 ÷ 12 = $133.33. From a $405.53 payment, roughly $272.20 goes toward principal, subject to rounding and the lender’s accounting. In later months, interest is calculated on the lower remaining balance.

A full amortization table normally includes the payment number or date, opening balance, interest, principal paid, payment amount, and closing balance. To construct a daily schedule accurately, use the lender’s actual balance, dates, rate, day-count method, and payment records.

When to Use This Estimate and Its Limits

Use this estimate to understand the basic relationship among principal, APR, and loan term, or to check an approximate monthly payment and interest total. Enter the rate and term stated in the loan information you are examining. The default numbers are only an example, not a current-rate claim or a quote.

• APR versus interest rate: APR may reflect costs beyond the nominal interest rate, depending on how it is disclosed. This formula treats the entered APR as the periodic-rate basis and does not separately add fees.
• Daily interest: If the lender accrues interest daily, the actual amount can depend on the number of days between payment events and the lender’s day-count convention.
• Variable rates: A rate change can alter interest charges, payments, or the payoff date. A single fixed-rate calculation cannot model future changes.
• Payment rounding and timing: Lenders may round each interest entry, apply payments on different dates, or include a final adjusted payment.

Do not assume this estimate is the lender’s payoff amount or a complete statement of the cost of borrowing. For a daily ledger, request the lender’s payment history or ask how it calculates accrued interest.

Common Misconceptions

“Daily amortization” does not necessarily mean that a borrower makes a payment every day. It usually refers to how interest accrues or how a balance is tracked between payments. Monthly installments can coexist with daily interest accrual.

Another common misunderstanding is that every payment reduces principal by the same amount. In a standard level-payment schedule, the payment is generally constant, but the split between interest and principal changes. Early payments usually allocate more toward interest because the starting balance is higher.

Finally, total interest is not simply APR multiplied by the original loan amount and the number of years. That shortcut ignores the declining balance. The amortization formula accounts for principal being repaid over time.

Frequently Asked Questions

How do I calculate daily loan interest?
For a simple daily-accrual estimate, multiply the outstanding principal by the annual rate as a decimal, then multiply by the fraction of a year represented by the elapsed days. Confirm the day-count convention and transaction rules with the lender; this calculator instead uses monthly periods.

Is daily interest the same as daily payments?
No. Daily interest describes how interest may accrue between dates. A borrower can still make scheduled monthly payments.

Why does my lender’s amortization schedule differ?
Differences can result from daily accrual, payment dates, rate changes, fees, rounding, or the lender’s treatment of payments. Compare the calculation assumptions and use the lender’s disclosure for the contractual figures.

Does the monthly payment include fees or insurance?
No. The estimate includes only principal and interest under the stated formula. It does not include fees, taxes, insurance, PMI, or escrow.

Can this calculator show my exact payoff balance on a date?
No. It estimates a scheduled payment and total interest for a fixed-rate monthly model. An exact payoff figure depends on the actual balance, payment history, accrued interest, and applicable lender calculations.

This result is an estimate, and the lender’s disclosure gives the exact figures.

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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