With a balloon, part of what you borrow is not repaid month by month but in one lump sum at the end. The monthly payments are lower, but you pay interest on the balloon for the whole term. Enter the amount, length, rate and balloon to see the monthly payment, the total cost and the APR, what the same loan would cost with no balloon and, for hire purchase or PCP, when your payments reach half the total amount payable, the point from which you can hand the goods back without paying more towards the half.
Choose the kind of agreement
Choose hire purchase or PCP when the goods only become yours once the final payment is made: the calculator then shows half the total amount payable, the figure that matters if you end the agreement early. Choose loan for a personal or business loan or a mortgage, where that right does not apply.
Enter the rate from your quote
Choose APR if you are copying the APR from a quote: it already includes the fees you must pay. Choose interest rate for the yearly rate charged on what you owe; you can then add any fees paid at the start and the calculator works out the APR. With the interest rate, the monthly rate is the yearly rate divided by 12: a £130,000 repayment mortgage over 25 years at 2.5% comes to £583.20 a month, the £583 of the Bank of England’s example. A flat rate is calculated differently and is neither of these: if your quote shows one, enter its APR instead.
Describe the balloon
Enter it as a percentage of the amount borrowed or as an amount. Choose 'Instead' if the quote lists, say, 47 monthly payments and then a final payment over 48 months. Choose 'On top' if the balloon is paid with the last monthly payment, as on an interest-only loan, where it is the whole amount borrowed (100%).
Read the result
The monthly payment is rounded to the nearest penny, with halves rounded up, and the last monthly payment takes up the rounding difference so the loan is repaid exactly. 'Extra interest due to the balloon' shows what the lower payments cost. Copy the workings, export them as a CSV file or save them to Priostack.
Monthly rate: i = interest rate ÷ 12, or i = (1 + APR)^(1/12) − 1.
Balloon on top of the last payment (n monthly payments): M = (C × (1 + i)^n − B) × i ÷ ((1 + i)^n − 1).
Balloon instead of the last payment (n − 1 monthly payments, then the balloon in month n): M = (C × (1 + i)^n − B) × i ÷ ((1 + i) × ((1 + i)^(n − 1) − 1)).
At 0%: M = (C − B) ÷ the number of monthly payments. C is the amount borrowed, B the balloon and n the length in months.
APR: the yearly rate X at which the payments, discounted at (1 + X)^(k/12) for month k, add up to the amount borrowed less the fees paid at the start.
Example: a £25,000 PCP over 48 months
After a £3,000 deposit you borrow £25,000 at 9.9% APR, with a final payment of £11,000 after 47 monthly payments. The monthly rate is 1.099^(1/12) − 1 = 0.78977%, so each payment is £446.13 (the last one £445.97). Interest comes to £6,967.95 and you repay £31,967.95 in all. With no balloon the payment would be £627.81 a month and the interest £1,833.22 less. With the deposit, the total amount payable is £34,967.95, so the half-way figure is £17,483.98: your deposit and payments reach it with payment 33.