# Trix by Sumati Sethia

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```									Trix (technical analysis) Trix (or TRIX) is a technical analysis oscillator developed in the 1980s by Jack Hutson, editor of Technical Analysis of Stocks and Commodities magazine. It shows the slope (ie. derivative) of a triple-smoothed exponential moving average. The name Trix is from "triple exponential." Trix is calculated with a given N-day period as follows: * Smooth prices (often closing prices) using an N-day exponential moving average (EMA). * Smooth that series using another N-day EMA. * Smooth a third time, using a further N-day EMA. * Calculate the percentage difference between today's and yesterday's value in that final smoothed series. Like any moving average, the triple EMA is just a smoothing of price data and therefore is trendfollowing. A rising or falling line is an uptrend or downtrend and Trix shows the slope of that line, so it's positive for a steady uptrend, negative for a downtrend, and a crossing through zero is a trend-change, ie. a peak or trough in the underlying average. The triple-smoothed EMA is very different from a plain EMA. In a plain EMA the latest few days dominate and the EMA follows recent prices quite closely; however, applying it three times results in weightings spread much more broadly, and the weights for the latest few days are in fact smaller than those of days further past. The following graph shows the weightings for an N=10 triple EMA (most recent days at the left):

Note that the distribution's mode will lie with pN-2's weight, i.e. in the graph above p8 carries the highest weighting. An N of 1 is invalid. The easiest way to calculate the triple EMA based on successive values is just to apply the EMA three times, creating single-, then double-, then triple-smoothed series. The triple EMA can also

be expressed directly in terms of the prices as below, with p0 today's close, p1 yesterday's, etc, and with (as for a plain EMA): The coefficients are the triangle numbers, n(n+1)/2. In theory, the sum is infinite, using all past data, but as f is less than 1 the powers fn become smaller as the series progresses, and they decrease faster than the coefficients increase, so beyond a certain point the terms are negligible. Triple Exponential Average (TRIX) : The Triple Exponential Average (TRIX) is an indicator used to identify divergences and overbought and oversold conditions, as well as give buy and sell signals. The TRIX is helpful because it tends to filter out short-term noise. A 9-day TRIX is shown below in the chart of the E-mini S&P 500 Futures contract:

TRIX Buy Signal : Buy when the TRIX crosses above the zero line. TRIX Sell Signal: Sell when the TRIX crosses below the zero line. The buy and sell signals are for entries. Using the above buy and sell signals for exits could prove profitless. A trader could consider exiting a long entry when the TRIX enters the oversold area and begins to turn downwards toward the zero line. Likewise, a trader could exit a short

when the TRIX enters the oversold area and begins to turn upward and move toward the zero line. Shown on the next page, another valuable use of the Triple Exponential Average is to confirm price action or not confirm price action through divergences.

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