Relative Strength Index


Relative Strength Index

The Relative Strength Index (RSI) is a technical analysis oscillator showing price strength by comparing upward and downward close-to-close movements.

The RSI is popular because it is relatively easy to interpret. It was developed by J. Welles Wilder and published in Commodities magazine (now called Futures magazine) in June 1978, and in his New Concepts in Technical Trading Systems the same year.1

Note that the term relative strength also refers to the strength of a security in relation to the overall market or to its sector. For instance XYZ might rise 2% when the rest of the market rises 1%.2 This is sometimes called relative strength comparative to avoid confusion. It's unrelated to the Relative Strength Index described here.

Interpretation

Wilder recommended a smoothing period of N=14. This is by his reckoning of EMA smoothing (see the EMA article on that), ie. ?=1/14.

Wilder considered a security overbought if it reached the 70 level, meaning that the speculator should consider selling. Or conversely oversold at the 30 level. The principle is that when there's a high proportion of daily movement in one direction it suggests an extreme, and prices are likely to reverse. Levels 80 and 20 are also used, or may be varied according to market conditions (eg. a bull market may have an upward bias).

Large surges and drops in securities will affect RSI, but it could just be a false buy or sell. The RSI is best used as a complement with other technical analysis indicators.

Cutler's RSI

A variation called Cutler's RSI is based on a simple moving average of U and D,3 instead of the exponential average above.

RS = { SMA[N] \; of \; U \over SMA[N] \; of \; D }

This is like the initial data point calculation shown above, but used on every day, not just the first. The divisor N in the SMAs in the numerator and denominator cancel out, so one needn't do those divisions, instead just a sum of U and a sum of D over the past N days can be made.

Cutler's RSI generally comes out slightly different from the normal Wilder RSI, but the two are similar, since an SMA and EMA are of course quite similar.

Further reading


  • New Concepts in Technical Trading Systems by J. Welles Wilder, ISBN 0-89459-027-8

  1. 1. Relative Strength Index (RSI) at borsanaliz.com

  2. 2. Relative Strength, Comparative at MarketScreen.com

  3. 3. Cutler's RSI page at Aspen Graphics Technical Analysis Software