SSmartNtools

Financial Calculator

Calculate the monthly installment of a loan using the Price amortization table, with the total paid and total interest. Enter the loan amount, interest rate and number of installments.

Installment amount
$945.60
Total paid
$11,347.15
Total interest
$1,347.15
Effective monthly rate
2.00%

How the Financial Calculator works

This calculator uses the Price amortization table, the most common system for loans and financing with fixed installments. From the loan amount, the interest rate and the number of installments, it works out each installment, the total paid at the end and how much of that total is interest.

The formula applied is PMT = PV × i / (1 − (1 + i)⁻ⁿ), where PV is the loan amount, i is the interest rate per period and n is the number of installments. When you enter an annual rate, it is converted to the equivalent monthly rate before the calculation, so the result reflects real compound interest for the period.

Frequently asked questions

What is the Price amortization table?

It is an amortization system in which every installment has the same value. At the start most of the installment is interest, and over time the share that pays down the principal increases.

What is the difference between a monthly and an annual rate?

A monthly rate is applied each month and an annual rate each year. When you choose 'per year', the calculator converts it to the equivalent monthly rate using compound interest, not a simple division by 12.

Does the calculator include taxes, insurance or fees?

No. It calculates only the pure financing using the Price table. Costs such as taxes, insurance and administrative fees vary by institution and are not included.

Can I use it for loans and car or home financing?

Yes. It works for any financing with fixed installments, such as personal loans, car loans and mortgages, as long as it uses the Price system.

How is a loan instalment calculated?

With the amortisation formula PMT = P × i / (1 − (1 + i)^−n), where P is the financed amount, i the interest rate per period and n the number of instalments. Each payment covers interest first, then principal.

Why do I pay so much more than I borrowed?

Because interest is charged on the outstanding balance every period. Over a long term the accumulated interest can approach or exceed the original amount, which is why the total cost is shown alongside the instalment.

Does a bigger down payment reduce the interest?

Yes. A larger down payment reduces the financed amount, so every subsequent interest charge is calculated on a smaller balance. It usually saves more than shortening the term by the same amount.

Is the rate here monthly or annual?

Enter the rate for the same period as your instalments. If your contract quotes an annual rate and you pay monthly, convert it first, since dividing by twelve slightly understates a compounded rate.

Related tools

See all tools in this category →