Direct answer
A “worked example of RSI reversal” is a fully specified, numbers-based scenario that shows how the Relative Strength Index (RSI) changes and how you would interpret a reversal in RSI direction (or around threshold levels). The key is transparency: you state the RSI settings, the price changes you assume, the intermediate calculations, and what would have to be true in price action for your interpretation to be consistent.
Because no real-time data is assumed here, the example uses invented inputs. This makes the mechanics verifiable, but it does not imply that the same outcome would occur in live markets.
Mechanism or definition
RSI is an oscillator that converts recent gains and losses into a value between 0 and 100. In simple terms, RSI rises when average gains outweigh average losses; it falls when average losses outweigh average gains.
A common way “RSI reversal” is discussed is: RSI stops falling and turns upward after a decline (an RSI direction reversal), sometimes after being in or near a low/high zone (threshold-based interpretation). Another related idea is “divergence,” where RSI and price move differently. These interpretations are not guaranteed signals; they are ways to describe changes in RSI behavior.
To keep this example self-contained, we will separate:
- Stable indicator mechanics (how RSI is computed from assumed gains/losses).
- Variable conditions (market regime, volatility, trading costs, and how the RSI interpretation is applied).
Evidence or example
Below is one transparent scenario showing RSI reversal as an RSI direction change.
Assumptions (state everything used)
- RSI period = 5.
- We compute RSI using the classic gain/loss approach with an initial “average” formed from the first 5 one-step changes, then a next-step update.
- We use a simplified sequence of closing prices that produces explicit gains and losses.
- We define “RSI reversal” for this example as: RSI moves upward (RSI value at time T becomes larger than at time T-1) after having been lower at T-1.
Step 1: Choose assumed prices (close-to-close changes)
Assume 6 closing prices (so we have 5 one-step changes for the initial average, and one additional change for the reversal check):
- P0 = 100
- P1 = 98 (change −2)
- P2 = 99 (change +1)
- P3 = 97 (change −2)
- P4 = 96 (change −1)
- P5 = 99 (change +3)
The five one-step changes for the initial window are: −2, +1, −2, −1, +3.
Convert each to gain and loss:
- Gain = positive change, Loss = absolute value of negative change.
- Gains: 0, 1, 0, 0, 3
- Losses: 2, 0, 2, 1, 0
Step 2: Compute initial averages (period = 5)
Average gain = (0 + 1 + 0 + 0 + 3) / 5 = 4/5 = 0.8.
Average loss = (2 + 0 + 2 + 1 + 0) / 5 = 5/5 = 1.0.
Relative Strength (RS) = AvgGain / AvgLoss = 0.8 / 1.0 = 0.8.
RSI = 100 − [100 / (1 + RS)] = 100 − [100 / (1 + 0.8)] = 100 − [100 / 1.8] ≈ 100 − 55.555… ≈ 44.44.
Interpretation at time T=5 (end of initial window): RSI is about 44.44.
Step 3: Add one more step to test “reversal” in RSI direction
Now assume the next close change after P5 is positive again, producing an upward RSI. For a reversal check we need one more time point, so we assume P6.
Assume P6 = 101 (change from P5: +2). So the new gain is +2, new loss is 0.
Using the same averaging idea as the common RSI update style (with period smoothing), a typical next-step update is:
- AvgGain_new = (AvgGain_old * (period−1) + Gain_new) / period
- AvgLoss_new = (AvgLoss_old * (period−1) + Loss_new) / period
With period=5: AvgGain_new = (0.8 * 4 + 2) / 5 = (3.2 + 2) / 5 = 5.2/5 = 1.04.
AvgLoss_new = (1.0 * 4 + 0) / 5 = 4/5 = 0.8.
RS_new = 1.04 / 0.8 = 1.3.
RSI_new = 100 − [100 / (1 + 1.3)] = 100 − [100 / 2.3] ≈ 100 − 43.478… ≈ 56.52.
What happened?
- RSI at time 5 ≈ 44.44.
- RSI at time 6 ≈ 56.52.
So RSI increased, meaning RSI direction reversed upward after the prior RSI level.
Material limitation in this example
This scenario only demonstrates how RSI can move upward when assumed gains outweigh losses. It does not prove that price reversal occurs, because RSI describes momentum of recent gains/losses, not a guaranteed turning point in price.