Finance
effectiverate
convert a stated rate to the effective rate
Calling Sequence
Parameters
Description
Examples
Compatibility
effectiverate(stated_rate, nperiods)
stated_rate
-
interest rate, expressed as a decimal number
nperiods
number of times the rate is compounded in the period
Continuous compounding is indicated by specifying infinity as the number of compounding periods.
Since effectiverate used to be part of the (now deprecated) finance package, for compatibility with older worksheets, this command can also be called using finance[effectiverate]. However, it is recommended that you use the superseding package name, Finance, instead: Finance[effectiverate].
A given loan is at 12% compounded monthly. The effective rate is then 1% monthly compounded 12 times. One can calculate it as follows:
with⁡Finance:
effectiverate⁡0.12,12
0.126825030
or about 12.7%. This can also be seen as:
1+0.121212−1
Compounded continuously, the effective rate is:
effectiverate⁡0.12,∞
0.127496852
The Finance[effectiverate] command was introduced in Maple 15.
For more information on Maple 15 changes, see Updates in Maple 15.
See Also
examples,finance
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