Tag: Trend Following

Welles Wilder gave technical analysis some of its most enduring tools in his 1978 book — RSI, ATR, Parabolic SAR, and the Directional Movement system: +DI, −DI, and ADX. The idea is elegant. The +DI measures upward directional pressure, the −DI downward, and the ADX measures how strong the trend is regardless of direction. The rule taught to millions is the crossover: when +DI crosses above −DI, go long; when −DI crosses above +DI, go short. So does one of the most respected trend systems in history make money on crypto? We ran it through the 7-Gate Protocol across six robustness axes. Verdict: reject — with one honest twist that points back to how ADX was actually meant to be used.

Methodology

• Data: Binance spot, Jul 2024–Jul 2026 (2 years), BTC/ETH/SOL/BNB/XRP
• Timeframes: 5m–1D (9 buckets, incl. resampled)
• Execution: on the bar close, no look-ahead; Wilder-smoothed +DI/−DI/ADX, period 14
• Friction: 0.06%/side (real); 0-fee gross reported too. Benchmark: buy & hold
• Six axes: timeframe, ADX-filter threshold, TP:SL, multi-coin, yearly, out-of-sample

Gate 0 — Fidelity

Standard Wilder DMI(14): +DI and −DI from smoothed directional movement over the true range, ADX from the smoothed DX. Signal on the closed bar, no look-ahead. Reproduced faithfully (pass).

The Exact Rules

• Signal: +DI crosses above −DI → long; −DI crosses above +DI → short (stop-and-reverse)
• Default: period 14, no ADX filter (the raw taught crossover)

BTC 4H ends at −47% against buy & hold’s +12%. And the gross (0-fee) line finishes at −22% — deeply negative before a single cent of fees. This is the recurring death sentence on this site: no gross edge to erode. But the DI crossover fails for a specific, diagnosable reason.

Why It Bleeds: a 29% Win Rate

Look at the bottom panel. The +DI and −DI lines cross after a move is already underway — directional movement has to accumulate before the lines swap order. So the entry is chronically late, and in choppy conditions the lines cross back and forth constantly. The result is a win rate of just 29% on 4H: the system is wrong roughly seven times out of ten, entering the direction of a move only once it’s half over and reversing right before it resumes. ADX (gold) tells you the trend is strong — but the crossover tells you the direction far too slowly.

Axis 1 — Timeframe (gross vs net)

Timeframe	Trades	Gross (0 fee)	Net (real)
5m	18,310	−41%	−100%
15m	5,822	−10%	−100%
30m	2,799	+25%	−96%
1h	1,325	−25%	−85%
2h	620	+20%	−43%
4h	323	−22%	−47%
6h	225	−22%	−40%
12h	111	−9%	−20%
1D	55	+3%	−4%

Zero net-positive timeframes. A few buckets are gross-positive (30m +25%, 2h +20%, 1D +3%) — there’s a faint directional signal — but the trade counts are brutal (18,310 on 5m) and fees bury every one of them. The daily is the least-bad at −4%, still behind holding.

Axis 2 — The ADX Filter (the honest twist)

Here is where DMI differs from a plain oscillator. ADX was designed as a filter — “only trade when the trend is strong.” So we swept the minimum-ADX threshold on BTC 4H.

ADX filter	Trades	Net	PF
≥0 (raw cross)	323	−47%	0.98
≥10	319	−52%	0.95
≥15	261	−46%	0.97
≥20	195	−16%	1.09
≥25	115	+30%	1.29
≥30	64	+45%	1.46
≥35	44	−36%	0.86
≥40	23	+103%	2.67

This is the one genuinely interesting result on this site. The raw crossover (ADX≥0) loses 47%, but requiring ADX≥25–30 flips it positive (+30% to +45%) on a still-reasonable 64–115 trades — consistent with the theory that DI crosses only pay inside strong trends. But do not over-read it. The surface is unstable (ADX≥35 drops back to −36%), and the eye-catching ADX≥40 (+103%) rests on just 23 trades — classic over-fit. The filter’s proper use shows a flicker of merit, but the crossover that’s actually taught — unfiltered — has no edge, and even the filtered version is fragile and would still face the yearly problem below.

Axis 3 — TP:SL

Fixing the stop at 2.5×ATR and sweeping the take-profit ratio on BTC 4H:

TP:SL	Net	PF
1:0.5	−33%	0.86
1:1	−49%	0.82
1:1.5	−42%	0.88
1:2	−40%	0.89
1:2.5	−38%	0.90
1:3	−45%	0.87
1:4	−44%	0.88
1:5	−38%	0.92

Unlike some strategies, there is no take-profit setting that rescues the DI crossover — every ratio from 1:0.5 to 1:5 loses (−33% to −49%). A signal that’s wrong 71% of the time can’t be fixed by adjusting where you take profit.

Axis 4 — Five Coins

Coin	DMI net	Buy & Hold	Excess
BTC	−47%	+12%	−59pp
ETH	−32%	−40%	+8pp
SOL	−39%	−40%	+2pp
BNB	−62%	+17%	−79pp
XRP	+85%	+163%	−78pp

Only XRP (1 of 5) is net-positive, and even it (+85%) badly trails its own buy & hold (+163%). BTC loses 47%, BNB 62%. The one green coin is the one that trended hardest — trend-luck, not edge.

Axis 5 — Yearly

Year	BTC 4H net
2024	+16%
2025	−58%
2026 (to Jul)	+7%

2024 and 2026 are positive, but 2025’s −58% is catastrophic and sinks everything. This is even more regime-dependent than most: a laggy crossover in a choppy, mean-reverting year gets destroyed.

Axis 6 — Friction & Out-of-Sample

Friction (BTC 4H): −22% gross → −47% net at 0.06%. The out-of-sample split looks green — 4 of 5 coins positive out-of-sample — but don’t be fooled: the full-sample is a 47% wipeout, and a less-bad final six months after that is a window artifact, not evidence of edge. We report it rather than lean on it.

The Verdict: REJECT

• Gate 0 — Indicator fidelity — pass (standard Wilder DMI(14): +DI/−DI/ADX)
• Gate 1 — Sanity — pass (signal on the closed bar, no look-ahead)
• Gate 2 — Friction — fail (−22% at zero fees on 4H, −47% net; 5m → −100%)
• Gate 3 — Yearly consistency — fail (2024 +16 / 2025 −58 / 2026 +7 — 2025 is catastrophic)
• Gate 4 — Out-of-sample — fail (window artifact) (4/5 looks green but the full sample is a −47% wipeout)
• Gate 5 — Robustness — fail (raw crossover loses; the ADX≥25–30 filter helps but is unstable, and ≥40 is 23-trade over-fit)
• Gate 6 — Multi-market — fail (1 of 5 coins; only XRP, a monster trender)
• Gate 7 — vs Buy & Hold — fail (0 of 5 timeframes beat holding; net-positive on one coin)

ADX measures trend strength; the DI crossover measures direction — too late. By the time +DI and −DI swap places a move is half-spent, and a 29% win rate is the arithmetic of always arriving after the party. The one honest bright spot is that ADX used as a filter (≥25–30) nudges the crossover positive — which is exactly how Wilder intended ADX to be used, and an argument against trading the naked cross at all. But that edge is unstable, single-regime, and evaporated in 2025. As the taught crossover, DMI is a reject.

FAQ

You’re supposed to use ADX as a filter, not trade the raw cross.
Agreed — and that’s the point. The raw crossover is what’s taught to beginners, so we tested it; it loses. Filtering to ADX≥25–30 does help, but our sweep shows that edge is fragile (it breaks by ≥35) and the standout ≥40 result is 23 trades of noise. A real ADX-filtered system would still have to clear the yearly and multi-coin gates, where it stumbles.

Why is the win rate so low?
Directional movement has to build before the DI lines cross, so entries lag; in ranges the lines cross repeatedly. Being right on direction but late means small wins and frequent stop-and-reverse losses — 29% winners.

Can I replicate this?
Yes — Wilder DMI(14), +DI/−DI crossover, public Binance data, 0.06%/side, five coins, nine timeframes. Every table reproduces.

See also: Donchian / Turtle Breakout, Triple SuperTrend, UT Bot, Parabolic SAR, and the conditional passes VWAP and Ichimoku (daily).

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Disclaimer: educational research, not financial advice. Past performance does not guarantee future results. Never trade money you cannot afford to lose.