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imported>Doug Williamson |
imported>Doug Williamson |
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| Compound interest is calculated as ‘interest on interest’ as well as interest on the original principal amount.
| | Security Market Line. |
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| Compound interest per year is the usual quotation basis for periods of more than a year.
| | The Security Market Line is a graphical presentation of the Capital asset pricing model formula. |
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| To calculate compound interest for different periods we compound up or de-compound the interest depending on the relative lengths of the periods being considered.
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| For example, interest quoted at 6% per annum, compounded annually, for two years maturity, with all of the interest paid at the final maturity, means that the interest paid after two years will be (compounding up for two periods):
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| = [1.06 x 1.06] - 1
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| = 12.36% periodic interest for the two year period.
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| Decompounding is used to calculate periodic interest for a shorter period.
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| For example, if periodic interest is 12.36% for a two-year period, this means the total accumulated interest payable/receivable at the end of the two years is 12.36%.
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| Decompounding the 12.36% (per two years) to calculate the interest for just one year:
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| One year's interest = (1 + 0.1236)<sup>(1/2)</sup> - 1
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| = 6.00% per one-year period.
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| == See also == | | == See also == |
| * [[CAGR]] | | *[[Capital asset pricing model]] |
| * [[Compounding effect]] | | *[[Capital Market Line]] |
| * [[Day count conventions]] | | *[[Security Market Line]] |
| * [[Periodic rate of interest]]
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| * [[Simple interest]]
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Revision as of 09:11, 5 June 2018
Security Market Line.
The Security Market Line is a graphical presentation of the Capital asset pricing model formula.
See also
