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Annuity Loan – Installment

Calculates the initial monthly installment of an annuity loan from the nominal rate and the initial repayment rate.

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Monthly installment for buying a house $1,740.00
What you learn

A higher repayment rate raises the installment but shortens the term enormously. At only 1–2 % initial repayment the payoff drags on for decades – those who can, repay faster.

→ Story & full explanation: Monthly installment for buying a house

Formula
R = D · (p + t) / (100 · m)
How the formula works

R = D·(p+t)/(100·m) is the initial annuity from the nominal rate p plus initial repayment t. The installment stays constant, but its inner makeup shifts: with each payment the interest portion falls and the repayment portion rises – which is why repayment accelerates over time.

Classic annuity formula from the interest rate plus repayment rate.

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