Constructing a consensus and volatility-normalized value oscillator

Classical tools for short-term valuation

The relative strength index and the stochastic oscillator are presented as classical tools that attempt a short-term relative valuation of an underlying price series. The relative strength index is a range-compression oscillator that maps ordered prices into a fixed interval so short-horizon strength can be read as a valuation score. The stochastic oscillator places the latest close inside a lookback high-low window to express short-term relative valuation.

The commodity channel index is a lookback oscillator that scales the gap between price and a typical-price average by mean deviation. It is retained here as a construction peer for centered valuation readings.

Range compression, stickiness, and lag

Range-compression oscillators such as the relative strength index squeeze a price path into a fixed interval, commonly 0 to 100 or -1 to +1. During strong trends they tend to remain pinned near their interval extremes because most of the bounded range is reserved for short-term reactions. That stickiness produces prolonged overbought or oversold readings while the trend continues.

Smoothing oscillators inherit the lag of the moving averages they are built from. Parameterized oscillators introduce subjectivity that can encourage curve-fitting in backtests.

Why absolute price cannot be the input

A one-unit price change is treated as a larger volatility event for a 5-priced instrument than for a 50-priced instrument, so absolute price cannot serve as the valuation input.

Recentering around a short-term consensus

A short-horizon consensus is defined as an x-period moving average of each bar midpoint, computed as the average of that bar high and low, with x kept to only a few periods. Subtracting that consensus from the open, high, low, and close recenters each bar around a straight zero line while preserving the bar relative position to the consensus.

If price rises and then holds the new level, a consensus-based oscillator is specified to fade rather than stay elevated, because that new level becomes the short-term consensus.

Scaling by true-range volatility

True range is the difference between true high and true low. True high is the larger of the current high and the prior close. True low is the smaller of the current low and the prior close.

Dividing the recentered open-high-low-close values by an x-period simple moving average of true range yields a volatility-normalized series. The adjusted close of that series is the constructed oscillator reading for that period.

What the construction checks

Editorial reading: the historical workflow is a design check, not a claim that a consensus and volatility-normalized reading replaces the relative strength index, the stochastic oscillator, or the commodity channel index. It asks whether the valuation score is a recentered, locally scaled series or a compressed path that can pin or lag.