Advanced Loan Calculator (compounding options)

Calculate your loan payment, loan amount, interest rate, or number of payments with full control over compounding frequency and payment frequency. Enter your loan amount, annual interest rate, loan term, compounding period, and payment frequency — and get back your periodic payment, total interest paid, and total repayment amount, plus a full amortization schedule.

The original principal on a new loan or remaining principal on an existing loan.

%

The annual nominal interest rate (stated rate) of the loan.

years
months

Add extra months on top of the years above.

How often the lender compounds the interest on your loan.

How often you make a payment toward the loan.

Optional extra amount added to each scheduled payment to pay off the loan faster.

Any upfront fees or charges added to the loan cost.

Results

Payment per Period

--

Total Interest Paid

--

Total of All Payments

--

Number of Payments

--

Effective Annual Rate (EAR)

--

Principal vs. Total Interest

Results Table

Frequently Asked Questions

What is compounding frequency and why does it matter?

Compounding frequency is how often the lender applies interest to your outstanding balance — daily, monthly, annually, etc. More frequent compounding means interest accumulates faster, which slightly increases the total interest you pay over the life of the loan. This calculator lets you match the exact compounding terms in your loan agreement for an accurate payment figure.

What is the difference between compounding frequency and payment frequency?

Compounding frequency is how often the lender calculates and adds interest to your balance, while payment frequency is how often you actually make a payment. They don't have to match — for example, a loan may compound interest daily but require monthly payments. This calculator handles both independently to give you the most accurate results.

What is the Effective Annual Rate (EAR)?

The Effective Annual Rate (EAR) is the true annual cost of borrowing once compounding is accounted for. A loan with a 6% nominal rate compounded monthly actually costs slightly more than 6% per year — the EAR captures that difference. It's useful for comparing loans that have different compounding frequencies.

How do extra payments affect my loan?

Making additional payments each period reduces your principal balance faster, which lowers the amount of interest that accrues over time. Even a modest extra payment per month can significantly shorten your loan term and reduce the total interest paid. Use the 'Additional Payment per Period' field to see the impact.

What is a balloon payment?

A balloon payment is a large lump-sum payment due at the end of a loan term, rather than gradually paying off the balance through regular installments. It's common in some commercial or short-term loans. This calculator focuses on fully amortized loans where each payment reduces both principal and interest until the balance reaches zero.

What is APR and how is it different from the interest rate?

APR (Annual Percentage Rate) includes both the interest rate and any additional fees or costs associated with the loan, expressed as a yearly rate. The nominal interest rate only reflects the cost of borrowing the principal. When comparing loan offers, APR gives a more complete picture of the true cost. Use the 'Extra Fees' field to factor in upfront costs.

Can I use this calculator for mortgages, auto loans, and student loans?

Yes. This advanced loan calculator works for any amortizing loan — mortgage, auto, personal, student, or business loans. Simply enter the loan amount, interest rate, term, and the compounding and payment frequencies specified in your loan agreement to get accurate payment and amortization figures.

How is the periodic payment calculated when compounding and payment frequencies differ?

When compounding and payment frequencies differ, the nominal rate is first converted to an equivalent rate per payment period using the formula: rate_per_period = (1 + nominal_rate / compounding_periods)^(compounding_periods / payment_periods) - 1. This equivalent rate is then used in the standard amortization payment formula to find the correct periodic payment.

More Finance Tools