So my figure is correct. square root of 256 is 16, and I use the factor of 15 instead of 16 for a rough estimate.
Perhaps I got lost along the way with various Q's, but yes - you take the StDev calculated from daily data and multiply by sqrt(256) to give you the annualised volatility %.
I think you divide (not multiply) the daily stdev by sqrt(256) to find the annualized volatility. So the annual Sharpe ratio is sqrt(256) = 16 times higher than the daily Sharpe ratio.
You are right. You need to multiply the square root of time to get annual volatility, but you need to multiply t with daily return to get annual return. The effect is: Annual Sharpe ratio = square root of 256* daily sharpe ratio = 16*daily sharpe ratio. I hope i got it right this time.
Profitaker, I think i got it right. There is web info from Sharpe in case someone is interested to know more. http://www.stanford.edu/~wfsharpe/art/sr/sr.htm