Pre-approval came through — now you need to know the actual monthly repayment before signing anything and committing to the long-term obligation.
M = P × [r(1+r)ⁿ] ÷ [(1+r)ⁿ−1]
Where P = principal, r = monthly rate, n = total payments.Key insight: On a $500K loan at 6.5% for 30 years, you pay approximately $640K in interest alone — more than the loan itself.
1 What this calculator does
Calculates the monthly principal and interest repayment for any home loan. Enter the loan amount, annual interest rate and loan term in years to see monthly repayment, total repaid over the life of the loan, and total interest cost.
2 Formula & professional reasoning
Monthly repayment = P × [r(1+r)ⁿ] ÷ [(1+r)ⁿ − 1] | r = annual rate ÷ 12
This is the standard loan amortisation formula. P is the principal, r is the monthly interest rate (annual rate ÷ 12), and n is the total number of monthly payments (years × 12). Early repayments are mostly interest; later repayments are mostly principal. The total interest over the life of the loan can be surprising — often exceeding the original principal.
3 Worked examples
⚠️ Illustrative example only — not clinical or professional instruction.
500000 × [0.005417 × 1.005417³⁶⁰] ÷ [1.005417³⁶⁰ − 1]750000 × [0.005 × 1.005³⁰⁰] ÷ [1.005³⁰⁰ − 1]Standard formula with current variable rate4 Sanity check
5 Common errors
| Error | Cause | Consequence | Fix |
|---|---|---|---|
| Using annual rate not monthly | Entering 6.5% without dividing by 12 | Wildly wrong result | The formula uses monthly rate = annual rate ÷ 12 |
| Forgetting fees and charges | Calculating repayment only | Budget shortfall | Add lenders mortgage insurance (LMI) if LVR > 80%, establishment fees, ongoing fees |
| Ignoring rate changes | Assuming rate stays fixed | Budget shock if rates rise | Model repayments at +1%, +2%, +3% above current rate to stress-test your budget |
| Confusing P&I and interest-only | Comparing different loan types | Unfair comparison | Always compare P&I to P&I for an accurate picture |
6 Reference & regulatory links
7 Professional workflow
Common tools used alongside this one: