Trading glossary
Relative strength index (RSI)
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The relative strength index compares the average size of a market's recent gains with the average size of its recent losses and reports the comparison on a bounded scale from zero to one hundred.
A momentum oscillator published by J. Welles Wilder in the late nineteen seventies, computed over a look back period whose default is fourteen intervals. Each interval's change is sorted into a gain or a loss, the two are averaged separately using Wilder's smoothing, and their ratio is compressed onto a scale that cannot leave the range from zero to one hundred. A reading near the top means recent gains have been large relative to recent losses; a reading near the bottom means the reverse.
Two conventions do most of the work in practice, and both are conventions rather than findings. The first labels readings above a high threshold as overbought and below a low one as oversold, using the thresholds Wilder himself suggested. The second is divergence, where price makes a new extreme and the indicator does not. Both labels describe the reading. Neither is a statement about the market, and the literature that tests them reaches different conclusions depending on which thresholds and look back it encodes.
The name is the biggest trap in the letter. Relative strength here means a market measured against its own recent history, not against another market or an index, which is a different measure entirely and is what an equity analyst usually means by the phrase. The second trap follows from the first: because the scale is bounded, a strongly trending market can hold an extreme reading for weeks, so an overbought reading is a description of momentum and not evidence that a fall is due. Changing the look back or the thresholds changes every signal the indicator has ever produced, which is why comparisons between published tests are so hard to make.
How it is calculated
The relative strength index is one hundred less one hundred divided by one plus the ratio of the average gain to the average loss over the look back period.
One reading from an assumed pair of averages
- Look back period
- 14 intervals
- Average gain over the period
- 1.20
- Average loss over the period
- 0.80
- Ratio of the two
- 1.20 ÷ 0.80 = 1.50
- Reading
- 100 − 100 ÷ 2.50 = 60.00
Illustrative arithmetic. The averages are assumptions chosen to keep the calculation legible, they describe no instrument and no period, and the smoothing used on a live chart carries earlier intervals forward rather than averaging a window in isolation.
Where you see it
MetaTrader 5 ships it as a standard oscillator, and exposes the look back period and the applied price as settings, so two charts of the same instrument can show different readings if those settings differ.
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