Inverted pyramid on new profits (up to 5 units, every 1 day(s), 60-day average)
A trade already in profit is confirming its own thesis, and deserves more capital than one that has yet to prove anything. Concentrating resources in the trades that are working captures more of the few large moves that pay for everything.
Measured in forex — EUR/USD and GBP/USD · daily bars built from 15m · 1 pip spread (~0.009% per round trip) · no survivorship bias
- ✗invariance
- ?costs
- ✗placebo
- ✗benchmark
- ✗out of sample
- ?multiple testing
At its worst the account was worth 1% less than its own best previous moment, and it spent 1,368 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
What this result does NOT say
- One market, one universe
- Measured on 2 spot currency pairs. 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 2020-01-01 to 2026-06-26. 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 a 1.0 pip spread, crossed once. 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, entering in tranches (weighted average price). 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 211 trades, but only 97 independent market episodes: trades that overlap in time are not independent observations, and counting them as if they were inflates any result. It is the smaller number that governs the arithmetic. With 97 episodes, what the data supports is a range from -0.59% to +0.12% 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 | -1.35 | 1.99 | 97 |
| placebo | failed | -1.47 | 1.99 | 97 |
| benchmark | failed | — | — | — |
| out of sample | failed | — | — | — |
| multiple testing | inconclusive | — | — | — |
- invariance78% of the gross profit comes from 10 trades (5% of the total) — lotteryconcentration: +78.09% of the profit sits in the top 5% of trades — with the dates shuffled, +46.64% (fails above +50.00%)
- costsgross -0.234% · cost 0.008% · net -0.243% (t=-1.35) · the range runs from -0.599% to +0.113%
- placeboactual -0.243% · placebo +0.023% · excess -0.265% ± 0.180% (t=-1.47 against a threshold of 1.99, 97 real groups, 10,550 sham dates, draw error ±0.018%)
- benchmarktechnique -0.24% · buy and hold (same horizon) +0.05% · excess -0.29%
- out of sampleasset half A: -0.258% (t=-1.54, 67 episodes) · asset half B: -0.226% (t=-0.91, 62 episodes) · liquid half (>= US$ 0/day): -0.243% (t=-1.35, 97 episodes) · period 1/4 (50193281-04-02 a 51712819-08-23): -0.139% (t=-0.43, 26 episodes) · period 2/4 (51740198-09-17 a 53276164-07-17): -0.119% (t=-0.18, 19 episodes) · period 3/4 (53413059-11-23 a 55140679-03-20): -0.302% (t=-1.37, 28 episodes) · period 4/4 (55143417-02-14 a 56443922-12-14): -0.408% (t=-1.71, 25 episodes)
- multiple testing4 variation(s) tested · t=-1.35 across 97 episodes (equivalent to t=-1.34) · p≈0.1812 · false positives expected by chance ≈ 0.72
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
- ×0.99
- worst drawdown from the peak
- −1%
- days below the previous peak
- 1,368
- signals refused for lack of capital
- 0%
- paths where the account halved (out of 12)
- 0
Reproducibility
- period
- 2020-01-01 to 2026-06-26
- assets that traded
- 2
- variations tested before this one
- 4
- gross per trade
- −0.23%
- net per trade
- −0.24%
- exit rule
- the technique itself, entering in tranches (weighted average price)
- measured return
- per unit of position opened — NOT weighted by capital allocated
- median duration bars
- 3
- mean duration bars
- 18.6
- max duration bars
- 217
- spread pips
- 1.0
- episode days
- 7
- seed
- 20260728
- pyramid on
- profit
- tranche spacing
- 1
- tranches
- 5
- scaled pyramid
- 0
- slope period
- 60
Twelve Data forex (15m aggregated to 1d) · collected on 2026-07-25 · 2 assets · 4,055 bars · 2020-01-01 to 2026-06-26
Hypothesis, filed before the result
The first of the three limited cases on p. 1082, and the structure Figure 23.14b calls «adding equal amounts (inverted pyramid) gives maximum leverage». The rules, over a 60-day base: «(1) enter 1 unit on the new trend signal; (2) enter another unit after n days only if the trade is at new maximum profits; (3) stop entering after five units have been added». THE SPACING IS A PUBLISHED SEARCH OPTIMUM — the source sweeps n over {1, 3, 5, 10} and publishes the winner per market («10-year notes peak with a 3-day wait, the emini S&P with 5 days for profit and 10 for the profit factor»); it enters as a SWEEP of 4 values. THE SOURCE RECORDS THE TRADE-OFF AGAINST ITSELF: «the average return per share (profit/trade) will drop because the average entry price will rise for longs and fall for shorts» — the profit factor improves while profit per trade worsens, and they are different quantities. AND IT CONFESSES THE SEARCH: «there are many combinations that could have been tested, a wide range of trend speeds, a mean-reversion system, and different ways of adding to the trade». Audited by the average entry price, with the published weighting caveat. And the source declares the risk: «compounding will result in the largest positions at the highest (or lowest) price; when the market reverses, losses occur on a larger base, and profits can disappear quickly». 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. MEASURED IN FOREX (EUR/USD and GBP/USD, daily aggregated from 15m), and not in crypto. This is a pre-registered REPLICATION — not a new discovery —, and the multiple-testing count treats it as such. And there is one difference that matters to this family: waiting for a better price is measured in multiples of the asset's own true range, so it adapts to the market by construction — but a pullback that happens every week in crypto may be rare in a currency pair, and the 5-day window is the same in both.
filed on 2026-08-04, before the number existed
The original, as it was filed
O primeiro dos três casos limitados da p. 1082, e a estrutura que a Figura 23.14b chama de «adicionar quantidades iguais (pirâmide invertida) dá alavancagem máxima». As regras, sobre base de 60 dias: «(1) entre 1 unidade no novo sinal de tendência; (2) entre outra unidade depois de n dias somente se a operação estiver em novos lucros máximos; (3) pare de entrar depois que cinco unidades tiverem sido acrescentadas». ⚠️ O ESPAÇAMENTO É ÓTIMO DE BUSCA PUBLICADO — a fonte varre n em {1, 3, 5, 10} e publica o vencedor por mercado («os títulos de 10 anos atingem o pico com espera de 3 dias, o emini S&P com 5 dias para lucro e 10 para o fator de lucro»); entra como VARREDURA de 4 valores. ⚠️ A FONTE REGISTRA O TRADE-OFF CONTRA SI MESMA: «o retorno médio por papel (lucro/operação) vai cair porque o preço médio de entrada vai subir para compradas e cair para vendidas» — o fator de lucro melhora enquanto o lucro por operação piora, e são grandezas diferentes. ⚠️ E ELA CONFESSA A BUSCA: «há muitas combinações que poderiam ter sido testadas, uma ampla faixa de velocidades de tendência, um sistema de reversão à média, e formas diferentes de adicionar à operação». ⚠️ Auditada pelo preço médio de entrada, com a ressalva de ponderação publicada. ⚠️ E a fonte declara o risco: «a composição resultará nas maiores posições ao preço mais alto (ou mais baixo); quando o mercado reverte, as perdas ocorrem sobre uma base maior, e os lucros podem desaparecer rapidamente». 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. ⚠️ MEDIDO EM FOREX (EUR/USD e GBP/USD, diário agregado de 15m), e não em cripto. Isto é uma REPLICAÇÃO pré-registrada — não uma descoberta nova —, e a conta de múltiplos testes a trata como tal. ⚠️ E há uma diferença que importa a esta família: a espera por preço melhor é medida em múltiplos da amplitude real do próprio ativo, então ela se adapta ao mercado por construção — mas um repique que em cripto acontece toda semana pode ser raro num par de moedas, e a janela de 5 dias é a mesma nos dois.
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.
- forexFAILED← this one
- cryptoFAILEDopen that card
This claim has been audited once — there is no history to compare against.