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Continuous compounding rate of return is that rate when the interest amount is compounded annually. It is used to find out the future value of the present value.

In other words, when the interest amount is added in principle amount continuously, so that interest is charged again and again, that rate is called continuous compounding.

It is calculated as follows:

And to calculate the future value we use the following formula:

Where:

a Continuously compounded rate of return:

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Yield Hunters' New Tune Echoes Financial Engineering's Past  — Wall Street Journal
And fresh geopolitical angst is again pushing yields lower on benchmark government debt. All this creates incentives for financial engineering.

Prentice Hall Options, Futures, and Other Derivatives and DerivaGem CD Package (8th Edition)
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