By Billington E.J. (ed.), Oates-Williams S.(ed.), Street A.P.

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**Additional info for Combinatorial Mathematics IX, Brisbane, Australia: Proceedings, 1981**

**Sample text**

These are often structured as transactions with deposits and the balance of payments over a period. 3 shows a 1,000,000 loan with a 10 per cent deposit repayable over five years monthly at a simple interest rate of 10 per cent. The net advance is 900,000 after the 10 per cent deposit. The annual interest is 90,000 at 10 per cent so the total interest payable is 450,000. The total payable is 1,350,000 after the deposit, which can be divided by 60 monthly payments. The monthly rental is 22,500 and the total payable with the deposit 1,450,000.

2 shows the effect across a shorter period of three days, where the interest payable is different under all three methods. Here the gap between the two dates is two days, but it is calculated as three on a 30/360 day basis. The addition of the standard number of days in the year results in three different levels of interest based on the simple rate of 10 per cent. Simple interest could be used for calculating loan payments and is frequently used for hire purchase (US – dollar out) or lease purchase contracts.

11). 70. Therefore the calculator is flexible since the initial formula must hold. If you change the payment and all other variables remain the same, solving for the number of payments will produce the number of payments required to write off the loan. 10 Futurevaluecalculation NOMINALANDEFFECTIVERATES The interest rates above are nominal or stated annual interest rates. e. 5 per cent multiplied by four payments per annum. 11 rate (EAR). Adjustments have to be made for the number of compounding periods so the rate will vary between monthly, quarterly, semi-annual and annual payments.

### Combinatorial Mathematics IX, Brisbane, Australia: Proceedings, 1981 by Billington E.J. (ed.), Oates-Williams S.(ed.), Street A.P.

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