Rogers & Satchell Volatility Estimation

First off, a huge thank you to the following people:


The Rogers & Satchell function is a volatility estimator that outperforms other estimators when the underlying follows a geometric Brownian motion with a drift (historical data mean returns different from zero). As a result, it provides a better volatility estimation when the underlying is trending. However, the Rogers & Satchell estimator does not account for jumps in price (gaps). It assumes no opening jump. The function uses the open, close, high, and low price series in its calculation and it has only one parameter, which is the period to use to estimate the volatility .

This script allows you to transform the volatility reading. The intention of this is to be able to compare volatility across different assets and timeframes. Having a relative reading of volatility also allows you to better gauge volatility within the context of current market conditions.

For the signal lie I chose a repulsion moving average to remove choppy crossovers of the estimator and the signal. This may have been a mistake, so in the near-future I might update so that the MA can be selected. Let me know if you have any opinions either way.

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