Calculate your car loan interest for early settlement using Rule of 78
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Some of you may have heard of the 'Rule of 78' when it comes to settling your outstanding bank loan for your car. But what is it actually about?

Category: Car Selling Advice

Car loans cannot be transferred from one party to another. Therefore, when an owner sells his car, he will need to fully pay off the loan before the ownership transfer. Car buyers usually finance their purchase with a loan of five years or longer, but because most of them will sell their cars before that, early redemption of car loan is commonplace.

Early redemption amount for car loans in Singapore is calculated based on the Rule of 78, which is a method of allocating the interest charge on a loan across its payment periods. More interest charge is allocated to earlier payments compared to the later ones. Because of this, paying off a loan early will result in the borrower paying more interest overall.

Because the banks need to cover their administrative costs and commission already paid out, car owners who early redeem their loans are further penalised with a charge of 20 percent of the unpaid interest; the bank will only rebate the borrower 80 percent of the unpaid interest instead of the full sum.

Banks usually further charge an Early Settlement Penalty, but in our below example, we will ignore this portion.

When doing an early redemption on a car loan, the amount to pay is:

Initial loan amount + total interest - instalments already paid - 80 percent of unpaid interest

Now, the formula for Rule of 78

R =  

R represents the unpaid interest
n represents the balance loan period expressed in months
N represents the original loan period expressed in months
TC represents the total amount of interest payable over the loan period
Let's use an example to illustrate the formula.

Let's say you have a five-year loan of $50,000 at three percent interest that you wish to fully pay up after 20 months. Assuming the bank uses the Rule of 78 to calculate the interest rebate, with a 20 percent penalty on the rebate for early repayment.

Loan amount = $50,000
Interest rate = 3% per annum
Total interest to be paid = (3% x 5 years x $50,000) = $7,500
Period of finance = 60 months or 5 years
Monthly instalment = ($50,000 + $7,500) / 60 = $958.33
Number of instalments paid = 20 months
Total amount already paid for = $958.33 x 20 = $19,166.67
Unpaid interest according to Rule of 78 = [40(40+1)] / [60(60+1)] x $7,500 = $3,360.66

Here, 40 represents the number of months remaining of the bank loan that is unpaid, and 60 is the original number of months of the bank loan. The amount of $3,360.66 is the unpaid interest on the 40 months from early termination of the loan.

80% of unpaid interest = 0.8 x $3,360.66 = $2,688.52

Loan redemption amount = $50,000 + $7,500 - $19,166.67 - $2,688.52 = $35,644.81

That is, initial loan amount ($50,000) plus total interest ($7,500), deducting the instalment amounts already paid for ($19,166.67), deducting the 80 percent of unpaid interest ($2,688.52), resulting in the loan redemption amount ($35,644.81).

In the event that you do buy a car from a direct seller or simply want to keep your financing options open, sgCarMart Connect - Singapore's first one-stop auto transaction service - can help you apply for a loan and motor insurance from at least five financial institutions. In addition, Connect will help the seller settle his or her outstanding loan, apply for an insurance refund and draft legal documentation for both parties - all for free. sgCarMart Connect can be contacted at 6744 3540.
Here are some related articles that might interest you

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*This article was updated on the 17th April 2018.

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