Is a 3:1 reward-to-risk setup a better trade?
No. Since 1995, bullish chart patterns on US stocks drawing a reward at least three times the risk beat the same day's median stock over the next month 50.3 times in 100, and those under one and a half times 49.6; a coin flip gives 50. The wider the ratio, the rarer the target: 2 in 100 reached it before the stop, against 30.
The paper
The full study: its data, method, robustness, limits and sources.
Opulence Alpha Research · Published Sep 25, 2026 · Data through Aug 21, 2026
Keywords: risk reward ratio, 3:1 risk reward, reward to risk ratio trading, risk reward ratio chart patterns, does risk reward ratio matter, profit target and stop loss·JEL classification: G11, G12, G14, C12, C58
- Universe
- The same for every study: 1,767 US common stocks in the 11 GICS sectors, 422 of them since delisted; S&P 500 members since 1996 plus large and mid-sized companies outside the index
- Period
- Every Wednesday from Jan 4, 1995 to Aug 19, 2026: 1,550 Wednesdays across 7,959 trading sessions
- Sample
- n = 1,764 stocks of the 1,767-stock universe; 1,361,444 formation detections, a median of 906 per Wednesday
- Outcome
- Return over the next 5, 21 and 63 trading sessions against the same day's median stock; whether the drawn target was reached
- Inference
- Date-clustered intervals; t on non-overlapping dates; proven only when |t| ≥ 3
1Introduction
Trading courses teach a simple filter: take a setup only when the distance to the target is several times the distance to the stop, most often three to one, so that one win pays for several losses. Chart patterns supply both levels: a target drawn from the pattern's height and a stop beyond its opposite edge. This study groups every chart pattern the detector recorded on US stocks by the reward-to-risk its levels drew on the day of detection, and asks whether the wider ratios went on to beat other stocks, and how often each group reached its target.
2Data and method
2.1Sample design
Population and frame. The population is US common stocks listed on the NYSE and Nasdaq; funds, ETFs, trusts, preferred shares, warrants and units are excluded. The sampling frame is a fixed universe of 1,767 companies, drawn once when the platform was built and not re-sampled since, in two strata. Stratum 1 is a census of the S&P 500: every company in the index at any time since 1996 whose price history could be recovered, 1,027 companies of which 413 have since delisted; it holds 76% of the index's members in 1996 and at least 96% in every year from 2010. Stratum 2 is 740 large and mid-sized companies outside the index, selected in proportion to the market's sector weights from the stocks that passed a minimum share price of $15 and a minimum average daily trading value of $25 million; 9 of them have since delisted.
Sample. The unit of observation is a formation detection: one stock on one Wednesday on which the pattern detector recorded a formation. Weeks the platform's regime model flags as a likely change of market regime are left out, as are bars flagged as bad data. This study's sample is n = 1,764 stocks of the 1,767: 1,361,444 detections on 1,550 Wednesdays from Jan 4, 1995 to Aug 19, 2026, a median of 906 stocks with a formation per Wednesday. 217,945 detections (16%) come from the 420 companies that have since delisted. Every detection and every Wednesday carries equal weight.
Representativeness. Table 1 gives the sample by GICS sector beside the S&P Composite 1500: 7.9% of companies would have to change sector for the two to match exactly. By latest market value, 55% of the active companies are large (at least $10bn), 38% mid ($2–10bn) and 6% small. Because Stratum 2 was chosen from companies listed at construction, its history carries survivorship bias. Section 4 reads the result for bullish and bearish formations alike.
Companies in this study's sample, of them those since delisted, the size of the active companies, the sample's share of stock-weeks and the sector's share of the S&P Composite 1500.
| Sector | Sample | Delisted | Large | Mid | Small | Stock-weeks | S&P 1500 |
|---|---|---|---|---|---|---|---|
| Information Technology | 283 | 67 | 122 | 76 | 18 | 13.5% | 12.7% |
| Financials | 255 | 59 | 114 | 74 | 8 | 14.7% | 17.2% |
| Industrials | 255 | 52 | 126 | 67 | 11 | 15.9% | 17.5% |
| Health Care | 237 | 47 | 92 | 81 | 16 | 12.3% | 10.9% |
| Consumer Discretionary | 209 | 39 | 69 | 87 | 12 | 12.4% | 12.9% |
| Energy | 105 | 30 | 39 | 31 | 5 | 6% | 4.7% |
| Consumer Staples | 101 | 38 | 40 | 17 | 5 | 5.9% | 4.9% |
| Materials | 95 | 34 | 35 | 24 | 2 | 5.6% | 5.1% |
| Real Estate | 84 | 10 | 40 | 32 | 2 | 5.9% | 6.9% |
| Communication Services | 80 | 31 | 28 | 13 | 5 | 3.9% | 3.3% |
| Utilities | 60 | 13 | 35 | 12 | 0 | 4.1% | 4% |
| All sectors | 1,764 | 420 | 740 | 514 | 84 | 100% | 100% |
Sample: n = 1,764 of the 1,767 companies. Size by latest market value for the 1,338 active companies with one: large ≥ $10bn, mid $2–10bn, small < $2bn. S&P 1500 shares count the constituents of the S&P 500, MidCap 400 and SmallCap 600 (1,506 companies, lists read Sep 25, 2026). Sectors are each company's current GICS sector.
2.2Signals
| Signal | Definition | Since | Wednesdays |
|---|---|---|---|
| Reward-to-risk at detection | Distance from the detection-day close to the drawn target, over the distance to the stop: under 1.5×, 1.5–3×, 3× or more | Jan 4, 1995 | 1,550 |
2.3Measurement
Outcome. The return from the close on the detection's Wednesday to the close 5, 21 and 63 trading sessions later, in excess of the S&P 500, compared with the same day's median stock, so chance is 50 in 100 on every date; and whether the price reached the formation's drawn target before its stop.
Detections are split by the condition recorded at the moment of detection. For each group the study reports how often the drawn target was reached before the stop, and how often the stock beat the same day's median stock over the next 21 sessions.
The t-statistic uses non-overlapping dates only. A result is called proven when |t| is at least 3, it held in at least 60% of years and it is large enough to matter; with 1,470 tests across the studies, a looser bar would pass dozens by luck.
Full data and methods3Results
Figure 1 splits bullish patterns by the reward-to-risk their levels drew on the day of detection: the distance from the price to the target over the distance to the stop. Under one and a half times, 30 in 100 reached the target before the stop; between one and a half and three times, 8; at three times or more, 2. Figure 2 shows the month that followed: 49.6, 49.9 and 50.3 in 100 beat the same day's median stock. None of the three is a proven relation: the middle group's shortfall is faint, not reliable on its own, and the other two show no measurable edge.
Share of bullish detections that reached the drawn target before the stop, by the condition at detection.
Share of bullish detections that beat the same day's median stock over the next 21 sessions. The dashed line is chance.
The ratio is a statement about distances, not odds. The further away the target, the less often price got there within the window, and what the stock then did against other stocks did not change measurably with the ratio.
A larger ratio means a target further from the price, with the stop comparatively close, and a far target takes a larger move to reach within the window. A target three or more times the risk was reached 2 times in 100; one under one and a half times the risk, 30 times.
4Robustness
Table 3 adds bearish patterns, with the same result: whatever the ratio, they trailed the median stock 49.7, 49.7 and 50.0 times in 100, while the target was reached 38 times in 100 under one and a half times and 5 at three times or more. In both directions the ratio changed how often the target was reached, not how the stock fared against other stocks.
Bullish and bearish detections, pooled across formation types: target reached (share) and beat or trailed the median stock over 21 sessions (share).
| Condition | Bullish | Bearish |
|---|---|---|
| Reward under 1.5× risk | 30 · 49.6 | 38 · 49.7 |
| Reward 1.5–3× risk | 8 · 49.9 | 12 · 49.7 |
| Reward 3× risk or more | 2 · 50.3 | 5 · 50.0 |
5Limitations
- The target window is fixed, 21 sessions for bullish patterns and 42 for bearish ones; a distant target given longer might be reached more often. The comparison with the median stock does not depend on the window, which is why it carries the verdict.
- A miss is either a stop or a timeout, and the study does not record where a timed-out pattern ended, so it cannot say what each ratio returned in total.
- Before costs. Averages exclude trading costs, taxes and market impact.
- Same-close timing. Returns start at the close the signal is computed from; a real trade would start later.
- Survivors among smaller companies. The non-index names were chosen from companies listed when the universe was built; no delisting returns are added.
6Conclusion
A reward-to-risk ratio measures distances on a chart, not the odds of covering them. Across every chart pattern the detector recorded on US stocks, a wider ratio came with a target reached far less often, and with no measurable change in how often the stock beat the median stock over the following month: close to a coin flip at every ratio. Drawing the target further away made the promise bigger, not the outcome better.
References
- Bulkowski, T. N. (2005). Encyclopedia of Chart Patterns, 2nd ed. Wiley.
- Park, C.-H. and Irwin, S. H. (2007). What Do We Know About the Profitability of Technical Analysis? Journal of Economic Surveys 21(4).
- Benjamini, Y. and Hochberg, Y. (1995). Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing. Journal of the Royal Statistical Society, Series B 57(1).
- Grinold, R. C. and Kahn, R. N. (2000). Active Portfolio Management, 2nd ed. McGraw-Hill.
- Harvey, C. R., Liu, Y. and Zhu, H. (2016). … and the Cross-Section of Expected Returns. Review of Financial Studies 29(1).
- Shumway, T. (1997). The Delisting Bias in CRSP Data. Journal of Finance 52(1).
Appendix A. Questions readers ask
- Is a 3:1 reward-to-risk ratio better?
- Not in this data. Bullish chart patterns on US stocks drawing a reward at least three times the risk beat the same day's median stock over the next month 50.3 times in 100, against 49.6 for those under one and a half times, and 50 for a coin flip. They reached the target far less often: 2 in 100 against 30.
- Why do high reward-to-risk setups reach their target so rarely?
- A larger ratio means a target further from the price, with the stop comparatively close, and a far target takes a larger move to reach within the window. A target three or more times the risk was reached 2 times in 100; one under one and a half times the risk, 30 times.
- Does reward-to-risk matter for bearish patterns?
- Not for the outcome. Bearish patterns drawing a reward at least three times the risk trailed the median stock 50.0 times in 100, against 49.7 under one and a half times; the wider ratio again came with fewer targets reached, 5 in 100 against 38.
- How was reward-to-risk measured?
- For every chart pattern the detector recorded on a Wednesday from Jan 4, 1995 to Aug 19, 2026, the distance from that day's close to the drawn target was divided by the distance to the stop. Patterns were grouped by that ratio and compared with the same day's median stock over the next 21 trading sessions, on the same universe of 1,767 US stocks every study uses.
Data availability and citation
Every figure in this paper is quoted from one frozen snapshot, published as JSON with the sample description, the robustness results and the test counts. The same snapshot feeds the research console, so the two cannot disagree.
Opulence Alpha Research (2026). Is a 3:1 reward-to-risk setup a better trade? Opulence Alpha Studies, Sep 25, 2026. https://opulencealpha.ai/studies/reward-to-risk
Research, not advice. A measured tendency across hundreds of stocks is a nudge for any one of them, never a forecast of its price.