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A mortgage calculator computes monthly repayments for a home loan based on the loan amount, interest rate, and term. In a repayment mortgage, each payment covers interest plus a portion of the capital, so the balance decreases over time and reaches zero at the end of the term.

Fórmula

Monthly payment M = P × r(1+r)^n / ((1+r)^n − 1)

M: Total repaid − P — Total repaid − P
P: loan amount — loan amount

Guia passo a passo

1Monthly payment M = P × r(1+r)^n / ((1+r)^n − 1)
2P = loan amount, r = monthly rate (annual rate / 12), n = months (years × 12)
3Total repaid = M × n | Total interest = Total repaid − P

Exemplos resolvidos

Entrada

£250,000 at 4.5% for 25 years

Resultado

£1,389/month · Total interest: £166,700

Repayment mortgage over 25 years

Entrada

£300,000 at 5% for 30 years

Resultado

£1,610/month · Total interest: £279,600

Total nearly doubles the loan amount

Perguntas frequentes

What is Mortgage?

How accurate is the Mortgage calculator?

The calculator uses the standard published formula for mortgage. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Mortgage calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Mortgage calculator use?

The core formula is: Monthly payment M = P × r(1+r)^n / ((1+r)^n − 1). Each step in the calculation is shown so you can verify the result manually.

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