Three scenarios, each with the inputs stated and the result computed. Every figure was calculated with the tools linked at the foot of the study, using the formula each tool documents, so it can be reproduced by entering the same values. They are illustrative examples, not client results, and they are not advice.
A ยฃ5,000 card balance: the 2% minimum against a fixed ยฃ250
A household carries ยฃ5,000 on a credit card at 22.9% APR and pays the 2% minimum each month, which shrinks as the balance falls. They want to know what happens if they switch to a fixed ยฃ250 a month instead.
Inputs: Balance ยฃ5,000 at 22.9% APR. Path one: the 2% minimum with the card's ยฃ25 floor. Path two: ยฃ250 a month, fixed.
Result: The minimum path does not clear the balance inside the calculator's 1,200-month ceiling, and books ยฃ69,459.53 of interest by that point. At ยฃ250 a month the same balance clears in 26 months with ยฃ1,358.22 of interest, so ยฃ6,358.22 is paid in total.
What it means: The first ยฃ100 minimum pays ยฃ95.42 of interest and reduces the balance by ยฃ4.58, which is why the payment level decides the cost rather than the balance.
Worked with: Credit Card Calculator, Debt Payoff Calculator
Two ยฃ12,000 loans that differ only in the fee
A borrower is offered ยฃ12,000 over 36 months at 5.5% with a ยฃ250 arrangement fee, against a second lender quoting 5.9% with no fee. The headline rate points at the first offer.
Inputs: ยฃ12,000 over 36 months. Offer A: 5.5% plus a ยฃ250 fee. Offer B: 5.9%, no fee.
Result: Offer A has a monthly payment of ยฃ362.35, an APR of 6.92% and a total cost of credit of ยฃ1,294.63. Offer B has a payment of ยฃ364.52, an APR of 5.9% and a total cost of credit of ยฃ1,122.71.
What it means: Once the fee is priced in, the cheaper headline rate costs ยฃ171.92 more over the term, so the APR is the number that ranks the two offers correctly.
Worked with: APR Calculator, Loan Calculator
A three-year fund return against a savings account
ยฃ8,000 goes into a fund and is worth ยฃ11,600 three years later. The same ยฃ8,000 could have sat in a savings account paying 4.5% a year. The question is which return was better.
Inputs: Cost ยฃ8,000, value after three years ยฃ11,600, alternative rate 4.5% a year.
Result: The fund returned 45% in total, which is 13.19% a year once it is annualised. The savings account turns ยฃ8,000 into ยฃ9,129.33, a gain of ยฃ1,129.33, or 14.12% over the same three years.
What it means: A 45% gain over three years and a 14.12% gain over three years describe the same kind of arithmetic until both are expressed as an annual rate, which is the only form that compares.
Worked with: ROI Calculator, Compound Interest Calculator