A strong recent trend predicts mild price mean‑reversion over the following one to two months - in both mainstream and leveraged ETFs. But the money moves in opposite directions relative to that fading trend, depending on which one you're holding.
We built a continuous trend-strength score for ETF NAVs - a risk-adjusted blend of exponential moving-average crossovers and rolling breakout channels, in the style used by systematic trend-following funds - and tested whether it predicts what happens next to a product's flows, NAV return, and AUM, at four horizons (5, 10, 20, and 40 trading days). Across 189 mainstream “Pareto” ETFs and 604 leveraged/inverse ETFs with enough history, a strong recent trend predicts mild price mean-reversion over the following one to two months in both groups. But the two groups' money moves in opposite directions relative to that trend: Pareto flows keep modestly chasing a trend that is already fading (median r = +0.09 at 40 days), while leveraged/inverse flows increasingly do the reverse - buying dips and selling rallies - and that contrarian tendency strengthens with leverage, from a coin flip at 1x to a 71%-majority pattern at 3x.
Our earlier work on flow persistence asked whether daily ETF flows have “memory” - whether an inflow tends to be followed by more inflows. That told us something about the shape of flows in isolation, but not whether flows have any relationship to the thing investors are presumably reacting to: the product's own price trend.
A natural way to test that is to build an explicit, continuous measure of how strong and how established a product's current price trend is, and see whether it leads, lags, or has no relationship with flows. Rather than invent one from scratch, we adapted a well-established one from systematic trading: Robert Carver's forecast-scaling framework combines an exponentially-weighted moving-average crossover - the difference between a fast and a slow EMA of price, risk-adjusted by the instrument's own annualised volatility - with a rolling breakout-channel measure, into a single score conventionally capped at plus or minus 20.1 We ported that construction from its usual home (futures price series) to daily ETF NAV history, then tested it against three things: daily flow as a percentage of prior AUM, daily NAV return, and daily AUM growth, at multiple forward and backward horizons.
We ran this across two of our existing dashboard universes: “Pareto” (roughly 200 mainstream megacap ETFs - iShares, Vanguard, SPDR, and similar) and “Leveraged/Inverse” (roughly 1,200 products, 2x/3x and short funds), so we could see whether a relationship looks the same for a buy-and-hold index fund as for a product built for tactical, short-term use.
Two directions matter here, and they mean very different things. Looking backward - does the past 5–40 days of NAV return or AUM growth line up with today's trend score - is close to circular, since the score is built from trailing price history; it strengthens from around 0.1 at 5 days to around 0.8 at 40 days in both universes, and mainly confirms the score measures what it's supposed to, not a discovery about investor behaviour. The forward-looking direction - does today's score predict what happens over the next 5–40 days - isn't guaranteed by construction, and it's where the two universes part ways.
| Median correlation: today's trend score vs. NAV return over the next N trading days | ||
| Horizon | Pareto (n=175–187) | Leveraged/Inverse (n=513–557) |
| 5 days | −0.08 | −0.09 |
| 10 days | −0.13 | −0.13 |
| 20 days | −0.19 | −0.21 |
| 40 days | −0.18 | −0.29 |
| Median correlation: today's trend score vs. flow (% of prior AUM) over the next N trading days | ||
| Horizon | Pareto (n=175–187) | Leveraged/Inverse (n=513–557) |
| 5 days | +0.01 | −0.04 |
| 10 days | +0.03 | −0.04 |
| 20 days | +0.05 | −0.02 |
| 40 days | +0.09 | +0.03 |
AUM growth (not shown separately here) sits between the two at every horizon in both universes, exactly as it should given AUM growth is arithmetically close to NAV return plus flow.
The aggregate “leveraged/inverse flows are contrarian” number turned out to be hiding a cleaner and more specific pattern once we split it out by leverage tier. We looked at the correlation between the trailing 40 days of cumulative flow and today's trend score for each product - a negative number here means recent outflows have coincided with a currently strong uptrend (or recent inflows with a currently strong downtrend): classic “sell the rally, buy the dip.”
At 1x - simple, unleveraged inverse hedges, the ProShares Short S&P 500 type of product - that pattern is a coin flip: roughly a third of products lean contrarian, a third lean trend-chasing, a third show no clear relationship either way. Once leverage steps up to 2x, a clear majority (59%) turn contrarian. At 3x, that majority grows to 71%, with trend-chasing down to just 9% of products.
Two real products illustrate the two ends of this pattern clearly. We checked both against raw NAV/shares data first, the same discipline our earlier flow-persistence work required after one candidate example turned out to be an issuer-wide split artifact rather than genuine trading - neither SOXL nor SH showed any split-boundary contamination or repeating-oscillation pattern in the analysis window.
Both patterns are consistent with existing literature on this corner of the market. Leveraged ETFs are well known to exhibit stronger path-dependent volatility drag than their 1x counterparts purely from daily rebalancing mechanics,2 consistent with the stronger price mean-reversion we found in leveraged/inverse products. Separately, recent work on market-wide levered-ETF rebalancing finds that contrarian investor flows - buying the dip - measurably offset the rebalancing demand that would otherwise follow a big index move, while momentum-chasing flows amplify it.3 Our finding is consistent with a good chunk of the higher-leverage, retail-facing universe sitting on the contrarian side of that split.
Next step: the same question, segmented by issuer and by underlying asset class (single stock vs. sector vs. broad index leveraged products), to see whether the leverage-tier gradient we found is itself driven by a narrower set of especially popular, retail-heavy single-name products (SOXL, CONL, and similar) rather than leveraged/inverse products generally.
For each ETF, we calculate three “fast-EMA-minus-slow-EMA” trend measures (EMA pairs of roughly 2–4 weeks vs. 3–12 months), each divided by the ETF's own trailing annualised volatility so a quiet bond fund and a volatile single-stock leveraged fund are judged on a comparable scale, then blend those three speeds with three rolling breakout-channel measures (is today's price near the top or bottom of its recent 20/40/80-day range) into one number, conventionally capped at plus or minus 20. A positive score means an established, risk-adjusted uptrend; a negative score, an established downtrend; values near zero mean no clear trend either way. This is the standard forecast construction from systematic trend-following,1 applied here to ETF NAV history instead of futures prices.
ETF NAV data isn't automatically split-adjusted the way most price feeds are. Feeding raw NAV into this kind of trend/volatility calculation means a real stock split - a clean, order-of-magnitude NAV change with no economic content - gets read as a giant single-day “return,” which corrupts the volatility estimate and the score for weeks afterward. We caught this on a real case (two State Street sector SPDRs, XLE and XLU, both 2:1 split on 2025-12-08) before running the full analysis, and fixed it by feeding the score a split-adjusted NAV series built from this project's existing split-detection pipeline - the same one used for flow calculations - rather than the raw figure.
“Does the past 40 days of NAV return correlate with today's score” is close to tautological because the score is a function of trailing price history by construction - it's a sanity check that the score behaves as designed, not a behavioral finding. “Does today's score predict the next 40 days” is the direction that isn't guaranteed and is where the real content is. We report both, and say so explicitly, so a mechanical relationship doesn't get mistaken for a discovered one.
We tested both an acceleration-only variant (the score's own rate of change, sensitive to turning points) and a blend of trend-level and acceleration (sensitive to both sustained trend and turning points), matching a toggle in the original systematic-trading construction. Both gave qualitatively similar results throughout; this article reports the blend variant only, for simplicity.
The 5/10/20/40-day windows are cumulative sums, not a day-by-day lag grid, chosen specifically because single-day flow is noisy enough that a real relationship can be invisible at daily granularity and only show up once averaged over a window - which is exactly the pattern we saw. What this doesn't fix: the four windows for the same product overlap heavily with each other (a 40-day window fully contains the 20-, 10-, and 5-day ones), so they are not independent draws. Treat the numbers here as descriptive tendencies across a broad set of products, not as formally significance-tested effects.
Daily NAV, AUM, and flow (split-adjusted, via this project's existing flow-calculation pipeline), Tracking-basket only, over up to five years of history per product, trimmed to the roughly three years most products in this database actually have clean coverage for. Of 221 Pareto and 1,211 Leveraged/Inverse products in the corresponding dashboard universes, 189 and 604 respectively had enough history (at least the ~330 trading days needed to warm up the slowest moving average and volatility estimate) to include. Leveraged/inverse's much higher attrition rate reflects how many of these products are recent launches, particularly single-stock leveraged funds.
1. Carver, R., 2015, Systematic Trading: A unique new method for designing trading and investing systems, Harriman House.
2. Avellaneda, M., and Zhang, S., 2010, Path-dependence of leveraged ETF returns, SIAM Journal on Financial Mathematics 1(1), 586–603.
3. Jain, P. K., Mishra, S., Pagano, M. S., and Rodriguez, I., 2024, Of seesaws and swings: the market-wide impact of levered ETF rebalancing during stressful times, working paper, presented at the European Financial Management Association 2024 Annual Meeting.