80-day average by the direction of the line
What matters is the direction of the trend line, not where price sits relative to it: entering when the average turns and holding while it keeps that direction captures the main move without being shaken out by price coming and going around the line.
Measured in crypto — Binance spot · 540 pairs, delisted ones included · 0.2% per round trip
- ✗invariance
- ?costs
- ?placebo
- ✓benchmark
- ✓out of sample
- ?multiple testing
At its worst the account was worth 72% less than its own best previous moment, and it spent 1,928 days below that peak.
What was measured
How many of those trades actually count
What it paid, before any deductions
Why it did not pass — it died here · where the result came from
What would have happened to the money
The account would not fit every signal
What this result does NOT say
- One market, one universe
- Measured on 538 spot cryptocurrency pairs, delisted ones included. It says nothing about futures, equities or indices, nor about how the same technique behaves in another market.
- One window of time, not every window
- The measured period runs from 2017-08-17 to 2026-07-28. A market moves through regimes, and a technique can work in one and fail in another — the card measures the regimes that fit inside this window, not the ones still to come.
- One cost structure
- The cost charged is 0.10% per leg, in and out. Anyone paying more than that gets a worse result, and anyone paying less gets a better one — the verdict holds for this fee.
- One exit rule
- The trade was closed by: the technique itself (held until the opposite signal). The same entry measured with a different exit is a different strategy, and can earn a different verdict — it happens in this archive.
- The number of trades is not the sample size
- There are 32,982 trades, but only 29 independent market episodes: a single move fires the technique across dozens of assets at once, and counting those as separate observations inflates any result. It is the smaller number that governs the arithmetic. With 29 episodes, what the data supports is a range from -2.74% to +6.41% per trade — the published average is the centre of it, not the exact measurement.
- Daily bars
- Measured at the daily close. Nothing here measures what happens inside the day, and an intraday technique is not auditable with this data.
Numbers and reproducibility
The six controls
| control | status | t | threshold | episodes |
|---|---|---|---|---|
| invariance | failed | — | — | — |
| costs | inconclusive | 0.73 | 2.05 | 29 |
| placebo | inconclusive | 0.70 | 2.05 | 29 |
| benchmark | passed | — | — | — |
| out of sample | passed | — | — | — |
| multiple testing | inconclusive | — | — | — |
- invariance76% of the gross profit comes from 1649 trades (5% of the total) — lotteryconcentration: +75.64% of the profit sits in the top 5% of trades — with the dates shuffled, +55.74% (fails above +50.00%)
- costsgross +1.833% · cost 0.200% · net +1.633% (t=0.73) · the range runs from -2.945% to +6.211%
- placeboactual +1.633% · placebo +0.046% · excess +1.587% ± 2.260% (t=0.70 against a threshold of 2.05, 29 real groups, 1,649,100 sham dates, draw error ±0.046%)
- benchmarktechnique +1.63% · buy and hold (same horizon) +1.62% · excess +0.01%
- out of sampleasset half A: +2.338% (t=0.84, 29 episodes) · asset half B: +1.031% (t=0.54, 29 episodes) · liquid half (>= US$ 2,069,756/day): +2.669% (t=1.05, 29 episodes) · illiquid half: +0.423% (t=0.12, 28 episodes) · period 1/4 (2017-11-05 a 2022-04-16): +6.719% (t=1.62, 15 episodes) · period 2/4 (2022-04-17 a 2023-11-04): +1.236% (6 episodes — too small, does not count) · period 3/4 (2023-11-05 a 2025-05-15): +0.373% (6 episodes — too small, does not count) · period 4/4 (2025-05-16 a 2026-07-27): -1.790% (5 episodes — too small, does not count)
- multiple testing1 variation(s) tested · t=0.73 across 29 episodes (equivalent to t=0.70) · p≈0.4844 · false positives expected by chance ≈ 0.48
Equity — outside the six controls, and here is why
The t of the trade series is invariant to bet size: 0.5%, 1% and 3% agree to the sixth decimal. Nothing here moves the verdict — it moves what the account would have lived through.
- risking 1.0% per trade
- ×1.25(×0.96–×1.57 depending on the drawn ordering)
- worst drawdown from the peak
- −72%
- days below the previous peak
- 1,928
- signals refused for lack of capital
- 62%
- paths where the account halved (out of 12)
- 0
Reproducibility
- period
- 2017-08-17 to 2026-07-28
- assets that traded
- 538
- variations tested before this one
- 1
- gross per trade
- +1.83%
- net per trade
- +1.63%
- exit rule
- the technique itself (held until the opposite signal)
- median duration bars
- 3
- mean duration bars
- 20.4
- max duration bars
- 377
- fee per leg
- 0.001
- episode days
- 112
- seed
- 20260728
- slope period
- 80
Binance spot klines (delisted pairs included) · collected from 2026-07-27 23:31 to 2026-08-03 10:49 · 540 assets · 750,934 bars · 2017-08-17 to 2026-07-28
Hypothesis, filed before the result
The new base of this family, and a technique in its own right: a single 80-day moving average decides the side by ITS OWN SLOPE — buy when the line turns up, sell when it turns down, and price does not enter the rule. It is the reference case of four of the section's six sub-studies: «we applied an 80-day moving average from 1990 through mid-2011 as the benchmark case» (p. 1076). THE DIRECTION IS A READING, and it is declared: the source does not repeat here the explicit definition it gives in ch. 20, but the whole language of this section is one of direction — «if the trend changes direction before the entire position is set», «the point where the trend first changed». It is not the moving average crossover the corpus already publishes: there is no second average and no comparison with price. And it is not the 60-day one, which is a published card of the `volatilidade` family — this is the period that was missing. Family-level prediction, recorded before measuring: (1) NONE survives the corpus-wide Benjamini-Hochberg; (2) the FRACTIONAL ENTRY and the two PYRAMIDS ON PROFIT will move the mean by LESS THAN THE ERROR BAR and will NARROW the deviation — it is the mechanism the protocol has already measured twice, at breakeven (median from −2.75% to 0.00%, mean unchanged) and at partial profit taking (−0.023% ± 0.518%, deviation from 19.9% to 12.4%): position management moves the SHAPE and is read as if it had moved the CENTRE; (3) the EQUITY CURVE GATE fails, and for lack of autocorrelation — this is the family's most falsifiable prediction, because the number already exists in the corpus: the source states that «first one must find out whether returns are positively autocorrelated», and `confirmacoes.py` publishes, over 742,175 crypto days, that daily direction is a coin flip WITH NO MEMORY; (4) AVERAGING DOWN will be the worst in the family and will die at CONTROL 1, concentration, because adding to losses fattens the tail — and the source itself already rejects it in 3 of 4 markets; (5) the gravedigger in crypto will be CONTROL 1 and not the benchmark, which is the correction of the prediction refuted in part 76 and what part 74 had already established: in crypto, what pays a lot pays it concentrated; (6) the 80-day BASE will do better than any layer built on top of it.
filed on 2026-08-04, before the number existed
The original, as it was filed
A base nova desta família, e técnica por direito próprio: uma única média móvel de 80 dias decide o lado pela PRÓPRIA INCLINAÇÃO — compra quando a linha vira para cima, vende quando vira para baixo, e o preço não entra na regra. É o caso de referência de quatro dos seis sub-estudos da seção: «aplicamos uma média móvel de 80 dias de 1990 até meados de 2011 como o caso de referência» (p. 1076). ⚠️ A DIREÇÃO É LEITURA, e ela está declarada: a fonte não repete aqui a definição explícita que dá no cap. 20, mas toda a linguagem desta seção é de direção — «se a tendência mudar de direção antes de a posição inteira estar montada», «o ponto onde a tendência mudou pela primeira vez». ⚠️ Não é o cruzamento de médias que o corpus já publica: não há segunda média nem comparação com o preço. ⚠️ E não é a de 60 dias, que é card publicado da família `volatilidade` — esta é o período que falta. Previsão da família, registrada antes de medir: (1) NENHUMA sobrevive ao Benjamini-Hochberg do corpus; (2) a ENTRADA FRACIONADA e as duas PIRÂMIDES SOBRE LUCRO moverão a média por MENOS QUE A BARRA DE ERRO e ESTREITARÃO o desvio — é o mecanismo que o protocolo já mediu duas vezes, no breakeven (mediana de −2,75% para 0,00%, média parada) e na realização parcial (−0,023% ± 0,518%, desvio de 19,9% para 12,4%): gestão de posição mexe no FORMATO e é lida como se tivesse mexido no CENTRO; (3) o GATE PELA CURVA DE PATRIMÔNIO reprova, e por falta de autocorrelação — esta é a previsão mais falsificável da família, porque o número já existe no corpus: a fonte declara que «primeiro é preciso descobrir se os retornos são positivamente autocorrelacionados», e `confirmacoes.py` publica, em 742.175 dias de cripto, que a direção diária é cara-ou-coroa SEM MEMÓRIA; (4) a MÉDIA PARA BAIXO será a pior da família e morrerá no CONTROLE 1, concentração, porque adicionar nas perdas engorda a cauda — e a própria fonte já a reprova em 3 de 4 mercados; (5) o coveiro em cripto será o CONTROLE 1 e não o benchmark, que é a correção da previsão refutada na parte 76 e o que a parte 74 já tinha estabelecido: em cripto, o que rende muito rende concentrado; (6) a BASE de 80 dias irá melhor que qualquer camada sobre ela.
Quotations from the source were translated from the Portuguese record and back into English — they are not the author's exact words.
Pre-registration exists to keep prediction apart from rationalisation: written after the number, every hypothesis is right.
The same technique in the other market
The verdict held in the other market too, on independent data.
- cryptoFAILED← this one
- forexFAILEDopen that card
This claim has been audited once — there is no history to compare against.