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To: Tom K. who wrote (1291)1/18/2000 7:27:00 PM
From: RoseCampion  Read Replies (1) | Respond to of 8096
 
To get it to less than an annual period like daily, divide by the square root of the time period (252(?) trading days). Gad, I hope my memory is right..... can anyone else confirm?

Tom, I think you are correct:

std_dev = annual_volatility x sqrt(days/365) x current_price

or more accurately:

std_dev = annual_volatility x sqrt(trading_days/252) x current_price

So what's the formula to get the second standard deviation during a particular time period? It can't be just 2x the first one, can it? (which would be below zero on the low end for most of the stocks I follow!)

-Rose-



To: Tom K. who wrote (1291)1/18/2000 11:52:00 PM
From: manohar kanuri  Read Replies (2) | Respond to of 8096
 
If volatility is 20% on a $50 stock your one std. dev. would be $20 (20% on both sides of the "mean" of 50, ie., 40 to 60).

So at the end of one year 20x3 would capture 99.?% of possible price outcomes. You'll have to jog something in there to fit it into a lognormal distribution so you don't end up with a price less than zero on the downside. Can't recall offhand the whys and wherefores of how the model accomplishes that; I think it had something to do with relative changes being normally distributed and absolute changes lognormally distributed? For estimations, implied volatility = 1SD works fine for me. Such sloppiness probably wouldn't work in LTCM? Oh wait, they went belly up....

You're right about deriving the daily from the annual number.



To: Tom K. who wrote (1291)1/20/2000 3:11:00 PM
From: rkral  Respond to of 8096
 
Thanks for your reply. Got my McMillan OSI. Your volatility/standard deviation answer was on the money. Volatilities for different time periods related by square root of the ratio of the number of trading days involved .. so you were almost on their too. Ron