Variable Rate of Return
The logarithmic or continuously compounded return, sometimes called force of interest, is a function of time defined as follows:
which is the rate of change with time of the natural logarithm of the accumulation function.
Conversely:
reducing to
for constant .
The effective annual percentage rate at any time is:
Read more about this topic: Accumulation Function
Famous quotes containing the words variable, rate and/or return:
“There is not so variable a thing in nature as a ladys head-dress.”
—Joseph Addison (16721719)
“You are more than entitled not to know what the word performative means. It is a new word and an ugly word, and perhaps it does not mean anything very much. But at any rate there is one thing in its favor, it is not a profound word.”
—J.L. (John Langshaw)
“The soul establishes itself.
But how far can it swim out through the eyes
And still return safely to its nest?”
—John Ashbery (b. 1927)