Calculators · 05

Loan Calculator from Rate

This is an example of a loan calculation using the entered rate to calculate the required repayment schedule.

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Overview

This calculator works backwards from a rate to the repayments. Where the standard loan calculator starts from a flat rate, here you enter the rate in whichever form you have it — an APR, an annual nominal rate, a monthly period rate (MPR) or a flat rate — and the calculator solves for the instalment that reproduces it. It then reports the repayments, the implied flat rate, the total charge for credit, the true APR and a full month-by-month amortisation schedule you can download.

It is useful when a lender quotes a headline rate and you want to see the actual payments, or when you need to convert between rate conventions. Because arrangement and option fees affect the real cost, the APR it reports can differ from the rate you entered — a spread arrangement fee, for instance, raises the effective APR above the quoted rate.

How it works

01
Enter the deal and the rate

Cash price, deposit and part-exchange, the term in months, and the rate together with its type (APR, annual, MPR or flat). Add fees or a balloon if present.

02
We solve for the instalment

The entered rate is converted to an APR, then the instalment that discounts the repayments back to the amount of credit at that rate is found by iteration.

03
Get repayments, APR and schedule

You get the instalments, the implied flat rate, the total charge for credit, the recomputed APR (including fees) and a downloadable amortisation table.

Worked example

£8,500 of credit over 36 months at 9.9% APR

Finance a £10,000 purchase with a £1,000 deposit and a £500 part-exchange — £8,500 of credit — over 36 months at a 9.9% APR, with a £200 arrangement fee spread across the payments and a £50 option-to-purchase fee. The calculator returns a first instalment of £277.75, a total charge for credit of £1,299.00 and a total amount payable of £11,549.00.

The implied flat rate is 5.094%, and the reported APR rises to 11.7% — above the 9.9% you entered — because the arrangement and option fees add to the cost of the credit.

Frequently asked questions

What rate types can I enter?
Four: an APR, an annual nominal rate, a monthly period rate (MPR), or a flat rate. The calculator converts whichever you choose into an APR before solving for the payments, so you can work from the figure your lender actually quoted.
Why does the reported APR differ from the rate I entered?
Fees. If you enter a 9.9% APR but add arrangement or option fees, the true cost of the credit is higher, so the recomputed APR — which includes those fees — comes out above the rate you typed in.
What is the implied flat rate?
It is the flat rate of interest that would produce the same total charge for credit. It lets you compare a deal quoted as an APR against one quoted as a flat rate.
What is the amortisation schedule?
A month-by-month table showing how each payment splits between interest and capital, and the balance remaining. You can download it as a CSV from the results.
What is a balloon payment here?
An optional larger final payment. Enter it and the calculator solves the earlier instalments around it, then includes it in the schedule and the APR.

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