Compounding effect

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Revision as of 14:06, 20 September 2014 by imported>Doug Williamson (Added more space so that calculations are clearer)
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The additional growth or additional interest, resulting from the compounding effects of - for example - interest on interest.


For example, interest quoted at 6% per annum, compounded annually, for two years maturity, means that the interest accumulated after two years is:

= [1.06 x 1.06] - 1

= 12.36% for the two year period.


Without the additional interest on interest, the total interest would have been simply

6% per annum x 2 years

= 12.00%.


So the compounding effect of interest on interest here

= 12.36% - 12.00%

= 0.36% over the two year period (= 6% x 6%).


When both the number of periods and the rate of growth/interest are low, compounding effects are relatively small. When either the number of periods or the rate of growth/interest - or both - are greater, compounding effects become very much larger.


See also