## Smoothed Rate of Change (S-RoC)

### What is it?

Smoothed Rate of Change (S-RoC) is a refinement of Rate of Change (RoC) that was developed by Fred G Schutzman. It differs from the RoC in that it based on exponential moving averages (EMAs) rather than on price closes. Like the RoC, Smoothed RoC is a leading momentum indicator that can be used to determine the strength of a trend by determining if the trend is accelerating or decelerating. The S-RoC does this by comparing the current EMA to value that the EMA was a specified periods ago. Thus, a 7-day S-RoC compares the current EMA to the value that the EMA was seven days ago. The use of EMAs rather than the price close illuminates the erratic tendencies of the RoC.

### How is it calculated?

RoC is calculated in three steps. First, the EMA is calculated. Then the momentum of the change in the EMA is calculated by subtracting the previous value of the EMA from the current EMA. Finally, the result is divided by the previous value of the EMA and multiplied by 100 to give a percentage. As the S-RoC is a RoC of EMA, it takes two periods: the period of the EMA, with the default being 13; and the period of the RoC, with the default being 21. The formula is:
S-RoC = ( Current EMA - Previous EMA ) / ( Previous EMA ) x 100
where the previous EMA is the value that the EMA was at specified period ago. The result is a percentage that is plotted as an oscillator that oscillates between 100% and -100%.

### How is it used?

As with the RoC oscillator, the key consideration when using S-RoC is the center line. When the price of the underlying security is in an uptrend, a buy signal is generated when the S-RoC falls below its center line and starts to turn back up. When the price of the underlying security is in a downtrend, a sell signal is generated when the S-RoC moves above its center line and starts to turn back down.

In ranging markets (non-trending) the overbought and oversold reference lines are a key consideration. However, the reference lines must be drawn manually around the extreme areas of the S-RoC. As a general rule, the S-RoC should not spend more than 5% of the time above or below the reference lines. When the underlying security is in a range, a sell signal is generated when the RoC moves out of the overbought area over the upper reference line. Similarly, a buy signal is generated when the RoC moves out of the oversold area from below the lower reference line.

Divergence is another consideration. Bullish divergence occurs in a downtrend when the price makes a lower low but the S-RoC makes a higher low. This indicates that there is a weakness in the downtrend and that a trend reversal is quite probable. A bearish divergence occurs when the price makes a higher high but the S-RoC makes a lower high low. This indicates a weakness in the uptrend with a strong probability that the trend will reverse soon.

Entry signals are also generated when a trend line drawn on the S-RoC is violated.

## Wealth Warning

Trading equities, options, derivatives, currencies, commodities or any other financial security can offer significant returns BUT can also result in significant losses if the market moves against your position. It requires a strong commitment to skill development, knowledge acquisition, and emotional control. It should be treated as a business with a clear business plan, a risk analysis, and set of attainable goals. The risk associated with trading the vagaries of the stock markets is probably the most important consideration as it has a profound effect on emotional control. You should not trade the stock markets with money you cannot afford to lose as there is considerable exposure to risk in any stock market transaction.

Furthermore, the past success of any trading method, strategy, or system is only indicative of future success. Under no circumstances should past success be construed as a guarantee of future success!

### Momentum Indicators

A Momentum Indicator

Momentum indicators can be used to track the rate at which the price of the underlying security changes rather than the price changes itself. These indicators are usually leading indicators as they tend to be oscillators by nature.

Some momentum indicators, such as the Stochastic Oscillator and the Relative Strength Index (RSI), have an upper boundary (usually 100) and a lower boundary (usually -100) while others, such as the Commodity Channel Index and the MACD, do not have upper and lower boundaries. In the case of the latter, historical high and low levels ...

## Related Indicators:

### Rate of Change (RoC)

RoC

The Rate of Change (RoC) indicator is a leading momentum indicator that measures the strength of a trend by determining whether the trend is accelerating or decelerating. It does this by comparing the most recent price close to a price close of a specified number of bars ago. Thus, a 7-day RoC compares the latest price close to the price close of seven bars ago. However, the RoC tends to be very sensitive to price changes and can be quite erratic.

A refinement of the RoC, called the Smoothed Rate of Change (S-RoC) compares two EMAs ...

### Moving Averages (MAs)

Moving Average

A Moving Average (MA) is a very versatile and widely used trend indicator that attempts to remove market 'noise' by plotting an average of the recent price bars. A side effect of the process of averaging means that the MA lags price action. Numerous adaptations of the MA have been developed in an attempt to reduce price lag, resulting in different types of MAs, such as the Exponential Moving Average (EMA), the Smoothed Moving Average (SMMA), the Linear Weighted Moving Average (LWMA), the Variable Moving Average (VMA) and the Volume Adjusted Moving Average (VAMA). However, none of these adaptations can be ...