The next two financial functions are used to convert a continuously compounded interest rate to an equivalent periodically compounded interest rate, and vice-versa.
In these functions the first argument (either ann. rate or cont. rate) is the fractional interest rate (expressed as either a fraction or a percentage), and the second argument (#/yr) is the number of times the equivalent periodically compounded rate is compounded per year:
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Function |
Description |
Definition |
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pc2cc(ann. rate, #/yr) |
Converts an annual interest rate (ann.rate) that is compounded #/yr per year to an equivalent continuously compounded interest rate. |
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cc2pc(cont. rate, #/yr) |
Converts a continuously compounded interest rate (cont.rate) to an equivalent periodically compounded annual rate that is compounded #/yr per year. |
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ann. rate
(Arate): Must be greater than or equal to zero. Can be a scalar or an
array
cont. rate (Crate): Must be greater than or equal to zero. Can
be a scalar or an array
#/yr (n): Must be a positive scalar.
For example, the following expression computes the continuously compounded interest rate that is equivalent to an annual interest rate of 5%, compounded daily:
