A borrower has two loan options for a $35,000 car: a 5-year loan at 7.9% from the dealer, or a 4-year personal loan at 6.5% from the credit union. Before signing anything, they need to know which costs less in total and whether the shorter term is worth the higher monthly payment.
1 What this calculator does
Compares two loans side by side -- different amounts, rates and terms. Shows monthly repayment, total amount repaid and total interest for each loan. Identifies which loan saves more money over the full term.
2 Formula & professional reasoning
Monthly repayment = P x [r(1+r)^n] / [(1+r)^n - 1]
where P = principal, r = monthly rate, n = term in months
Total repaid = Monthly payment x n
Total interest = Total repaid - Principal
Better loan = Lower total repaid (assuming same loan amount)
The annuity formula calculates the constant monthly payment that repays the principal plus interest over the loan term. For comparison purposes, total interest paid is the most meaningful metric -- it represents the true cost of borrowing. A shorter term always means higher monthly payments but lower total interest because the principal is outstanding for fewer months. The comparison is most useful when both loans are for the same purpose (same principal) but different rates or terms.
3 Worked examples
⚠️ Illustrative example only — not clinical or professional instruction.
Loan A monthly: $35,000 x [0.006583x(1.006583)^60] / [(1.006583)^60-1] = $709/mo | Total A: $709x60=$42,540 | Interest A: $7,540 | Loan B: $35,000 x [0.005417x(1.005417)^48] / [(1.005417)^48-1] = $832/mo | Total B: $39,936 | Interest B: $4,936Loan A: $3,160/mo | Total: $1,137,600 | Interest: $637,600 | Loan B: $3,378/mo | Total: $1,013,400 | Interest: $513,400Loan A monthly: $2,192 | Total remaining: $578,208 | Interest: $298,208 | Loan B monthly: $1,832 | Total: $549,600 | Interest: $264,6004 Sanity check
5 Common errors
| Error | Cause | Consequence | Fix |
|---|---|---|---|
| Choosing the loan with the lowest monthly repayment without checking total cost | Focusing on affordability rather than total cost | Choosing a longer-term loan that costs thousands more in interest | Always compare total interest paid over the full term. A lower monthly payment from a longer term is a more expensive loan overall. |
| Not checking the comparison rate in AU for true cost | Comparing advertised interest rates without accounting for fees | A loan with a lower interest rate but high fees may be more expensive than a higher-rate loan with no fees | In Australia, use the comparison rate (which includes standard fees) for side-by-side comparison. The comparison rate must be disclosed on loan advertising. |
| Comparing loans with different principals as if they are equivalent | One loan is for more than the other but comparison focuses on monthly payment | Misleading conclusion about which is cheaper | For a fair comparison of costs, use total interest on the same principal. For decisions involving different loan amounts, focus on the interest rate (or comparison rate) and total cost per dollar borrowed. |
| Not factoring in break costs when comparing existing loan to refinance options | Comparing the outstanding balance loan as if it could be transferred for free | Refinancing costs make the new loan more expensive than calculated | Add discharge fees ($150-$350 AU), application fees ($0-$600) and any government fees to the new loan principal when modelling the refinance scenario. |
6 Reference & regulatory links
7 Professional workflow
Common tools used alongside this one: