Loan and finance instalment calculator

What each month costs, what is repaid in all, and what the finance costs on top.

Two ways a rate is quoted

A bank loan usually charges its rate on what is still owed: each instalment pays that month's interest and the rest reduces the debt, so the interest falls month by month. That is a reducing balance.

Much finance in the Gulf — murabaha, car and personal finance — is quoted as a flat rate: the rate applies to the full amount for every year of the term, and the total is fixed at the start. The same number on a flat basis costs far more, because the customer pays the rate on money already repaid.

A worked example

SAR 100,000 over five years (60 months) at 6%.

Reducing balance: monthly instalment1,933.28
Reducing balance: total interest15,996.80
Flat rate: 100,000 × 6% × 5 years30,000.00
Flat rate: (100,000 + 30,000) ÷ 602,166.67 a month
The reducing rate with the same instalmentabout 10.85%

What the figure leaves out

Administration fees, insurance and the VAT charged on fees all add to the cost. Saudi finance companies must state the annual percentage rate (APR), which includes them: compare offers by APR, not by the quoted rate.

Questions

How is a monthly loan instalment calculated?

On a reducing balance, by the annuity formula: amount × i ÷ (1 − (1 + i)^−n), where i is the yearly rate ÷ 12 and n the months. SAR 100,000 at 6% over 60 months is 1,933.28 a month.

What is a flat rate?

A rate charged on the full amount for the whole term, whatever has been repaid. 6% flat on 100,000 for five years is 30,000, the same as about 10.85% on a reducing balance.

Is murabaha profit calculated like interest?

The profit is agreed in the sale price at the start, which is why it is usually quoted flat. The monthly instalment it gives is computed the same way as a flat-rate loan here.

What is APR?

The annual percentage rate: the yearly cost of the finance including fees, on a reducing basis. It is the figure to compare offers by.

Does paying early save money?

On a reducing balance the interest not yet accrued is not charged. On flat-rate finance it depends on the contract: Saudi rules let a finance company keep a limited part of the remaining profit on early settlement; read the contract's terms.

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