Online calculator — enter the values and get the result instantly, with the formula and a worked example.
Annuity = Regularly recurring amount
PV = Present Value
i = Interest Rate
n = Number of Periods
The amortization factor, also called the capital-recovery factor, is a number that turns a lump-sum loan into the fixed, regularly recurring payment needed to pay it off completely by the end of an agreed term. In everyday terms, it answers the practical question every borrower asks: given how much I owe, the interest rate, and how many periods I have, how large must each equal installment be? Each of those level payments does double duty, covering the interest accrued for the period and chipping away at the remaining principal. Early on most of the payment goes toward interest and only a little reduces the balance, but as the debt shrinks that ratio steadily reverses. A higher interest rate or a shorter term pushes the factor and the payment up, while stretching the loan over more periods lowers each installment at the cost of paying more interest overall. This is the mathematical engine behind ordinary mortgages, car loans, and consumer and business credit repaid in equal instalments, and it is exactly the same idea used in reverse to work out annuity payouts. Knowing it lets you compare offers on a like-for-like basis and see the true monthly cost of borrowing before you sign.
Annual payment
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Drag along the graph — remaining loan balance in the given year (falls to zero)
A company wants to borrow 50,000 Eur from the bank at an annual interest rate of 6%. The loan should be repaid over 4 years with regular annual payments. How much will the regular annual payment be?
We use the formula given above:
annuity = 50,000 * (0.06 / (1 - (1 + 0.06)^4))
annuity = 14,429.57
The annual payment is therefore 14,429.57 Eur.