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# Historical Volatility based Standard Deviation

423 1
This Plots the Standard Deviation Price Band based on the Historical Volatility . SD             1, 2, 3.

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```//Created by UCSgears
//Plots Standard deviation on pricechart based on Historical Volatility.
//This Code will be revised when Implied Volatility is available in trading view.

study(title="UCS_Standard Deviation-Historical Volatility", shorttitle="UCS_StdDev(HV)", overlay = true)

length = input(10, minval=1)
DaystoExpire = input (30, minval=1)
stddev1=input(true,title="Standard Deviation 1")
stddev2=input(true,title="Standard Deviation 2")
stddev3=input(true,title="Standard Deviation 3")

annual = 365
per = isintraday or isdaily and interval == 1 ? 1 : 7
hv = stdev(log(close / close[1]), length) * sqrt(annual / per)
stdhv1 = close*hv*sqrt(DaystoExpire/365)
stdhv2 = stdhv1*1.3971
stdhv3 = stdhv1*1.4675

Stdhv1u = plot(stddev1 ? (close+stdhv1):na, color = red, title = "1st Standard Deviation Upperband")
Stdhv1d = plot(stddev1 ? (close-stdhv1):na, color = red, title = "1st Standard Deviation Lowerband")
Stdhv2u = plot(stddev2 ? (close+stdhv2):na, color = blue, title = "2nd Standard Deviation Upperband")
Stdhv2d = plot(stddev2 ? (close-stdhv2):na, color = blue, title = "2nd Standard Deviation Lowerband")
Stdhv3u = plot(stddev3 ? (close+stdhv3):na, color = black, title = "3rd Standard Deviation Upperband")
Stdhv3d = plot(stddev3 ? (close-stdhv3):na, color = black, title = "3rd Standard Deviation Lowerband")

fill (Stdhv1u,Stdhv3u, color = red)
fill (Stdhv1d,Stdhv3d, color = green)```
The Standard Deviation (1,2&3) are 68%, 95% and 99%. Not 1*SD, 2*SD, 3*SD.

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