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ariliveitup
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Joined: May 29th, 2007, 7:28 pm

Geometric Compounded Return

January 11th, 2008, 2:47 pm

I just need to make sure that I am using the correct formula:Lets say I have a time series data of daily returns, then in order to calculate the geometric compounded return I am using the following formula:[CumProduct ( 1 + ri)] - 1 where i = 1 to nIf I want to annualize it, then i multiply [CumProduct ( 1 + ri)] - 1 where i = 1 to n by SQRT(252). Everything fine so far. If I want an average monthly number, I multiply [CumProduct ( 1 + ri)] - 1 where i = 1 to n by SQRT(21) assuming 21 trading days in a month. Is that the correct formula to get an estimate of the average monthly return?I got a risk analysis software and the manuals show that the monthly number is obtained by multiplying by SQRT(12) instead of SQRT(21)
 
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amit7ul
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Joined: December 7th, 2004, 8:36 am

Geometric Compounded Return

January 15th, 2008, 11:14 am

thats as year can be thought of as 12 months... or that software is doing palindromic flipping, kidding!
 
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quantmeh
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Joined: April 6th, 2007, 1:39 pm

Geometric Compounded Return

January 15th, 2008, 11:27 am

what's sqrt(21)? and why do u do it to get monthly return? it doesnt make any sense to me.if sqrt(12) is the the same as x^(1/12), then it's the right thing to do to get monthly return from annual return, assuming 30/360.
 
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ariliveitup
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Joined: May 29th, 2007, 7:28 pm

Geometric Compounded Return

January 15th, 2008, 1:54 pm

Thanks for the feedback guys. I figured it out. The software takes monthly returns as the input. Jawabean - you are right as well about I have to do something like "x^(1/12)" along these lines