Annualized net return
The strategy's net return expressed at an annual rate under the frozen evaluator. It is useful for comparison, but survival was based on excess return versus the benchmark rather than this number alone.
Published strategy replication
We tested all four published BTC trend-following horizons on a subsequent out-of-sample period. Every variant reduced maximum drawdown, but every mean excess-return estimate was negative. Under the frozen family rule, 0 of 4 variants survived.
Reading the result
The headline metrics answer different questions. These short definitions are the interpretation used on this page, not additional evaluation criteria.
The strategy's net return expressed at an annual rate under the frozen evaluator. It is useful for comparison, but survival was based on excess return versus the benchmark rather than this number alone.
Return relative to observed volatility after costs. A higher Sharpe can coexist with lower absolute return, which is exactly what happened for some longer lookbacks here.
The largest peak-to-trough decline in wealth. Every trend filter reduced this relative to the frozen buy-and-hold benchmark.
Mean daily net log return minus the corresponding benchmark return, shown in basis points per day. The frozen rule required this value to be positive.
A one-sided 95% lower confidence bound for mean daily excess log return using Bartlett-HAC with lag 20. The rule required the lower bound itself to remain above zero.
A lookback survived only if all three variant criteria passed. The four-horizon family survived only if at least three of the four published lookbacks independently survived.
The published BTC trend-following family did something economically meaningful in our subsequent evaluation: every one of the four filters reduced maximum drawdown. None of them survived the frozen test, because every lookback also produced a negative mean excess return versus buy-and-hold and a negative one-sided 95% HAC lower bound.
The terminal result was therefore FALSIFIED, with 0 of 4 published variants surviving.
That tension is the useful part of the case. A strategy can make the ride less severe without producing excess return.
Trinh Le and Ummul Ruthbah’s August 2023 paper, Trend-following Strategies for Crypto Investors, studies Bitcoin, Ether and a broader crypto index using trend horizons of 20, 65, 150 and 200 days. Its historical BTC sample runs through 31 January 2023. The paper reports strong historical performance for trend-following portfolios and explicitly examines how transaction costs reduce those returns.
For the long-only momentum family, the basic idea is simple: compare the asset with a moving average over a published lookback, hold the crypto asset when the trend condition is active, and otherwise move out of the risky position. The paper compares those portfolios with buy-and-hold and reports particularly strong historical results for shorter horizons.
We did not take the historically strongest BTC horizon and call that the strategy. All four published lookbacks were carried forward as one frozen family.
The purpose of this experiment was not to reproduce the paper’s historical performance table from the same source data. It was to take the published mechanism seriously enough to specify it as a new prospective test.
That required several choices that are easy to leave vague in a research paper but cannot remain vague in a deterministic evaluator.
We used BTCUSDT daily bars from the official Binance Spot public API. Signals were calculated only after a completed UTC daily bar. If the target position changed, the new target became effective at the following UTC daily open. That next-open rule was frozen before capture as the conservative execution interpretation because the paper does not specify exchange execution timing precisely enough for a literal tradable implementation.
The cost was fixed at 0.1% per traded leg. The benchmark was a cost-adjusted BTC buy-and-hold portfolio evaluated under the same frozen contract.
The capture itself was bounded: warm-up began on 16 July 2022, the data request returned 1509 of 1509 expected daily bars, and the entire public capture used two provider requests.
One wording point matters here. The paper is dated August 2023, while its historical BTC sample ends on 31 January 2023 and our evaluation period begins on 1 February 2023. The clean description is therefore a subsequent out-of-sample / post-sample evaluation. It would be inaccurate to describe every evaluation observation as post-publication data.
Each published horizon had to satisfy all three requirements independently:
The family survived only if at least three of the four published horizons survived individually.
That final condition matters because it prevents a familiar form of hindsight selection. We could not inspect the four results, choose the nicest-looking row and promote it afterward. No winning lookback could be selected after evaluation.
The benchmark compounded to +239.13%, corresponding to a 40.60% annualized net return, a Sharpe ratio of 0.736, and a 52.97% maximum drawdown under the frozen evaluator.
All four trend filters reduced drawdown. None beat the benchmark on mean daily excess return.
| Lookback | Annualized return | Sharpe | Max drawdown | Mean excess bps/day | Result |
|---|---|---|---|---|---|
| Benchmark | 40.60% | 0.736 | 52.97% | — | Benchmark |
| 20 days | 17.47% | 0.494 | 33.13% | −4.93 | FAIL |
| 65 days | 32.02% | 0.830 | 35.45% | −1.73 | FAIL |
| 150 days | 34.65% | 0.829 | 25.59% | −1.19 | FAIL |
| 200 days | 34.00% | 0.785 | 31.67% | −1.32 | FAIL |
The statistical confidence calculation did not turn otherwise-positive estimates into failures. The point estimates themselves were already negative: −4.93, −1.73, −1.19 and −1.32 basis points per day for the 20, 65, 150 and 200-day variants respectively.
Their one-sided 95% HAC lower bounds were also negative: −11.91, −8.24, −7.35 and −7.48 bps/day.
The 150-day variant makes the distinction especially clear.
Its annualized net return was 34.65%, below the benchmark’s 40.60%. Its Sharpe ratio was 0.829, above the benchmark’s 0.736. Its maximum drawdown was 25.59%, less than half the benchmark’s 52.97%.
Those are meaningful differences in risk characteristics. A reader who cared primarily about drawdown or return per unit of observed volatility could reasonably find that path more attractive than unfiltered BTC exposure.
But that was not the experiment we had declared.
The frozen rule required positive excess return, a positive dependence-aware lower confidence bound, and improved drawdown. The 150-day filter passed only the third condition. Calling it a success after seeing its Sharpe and drawdown would redefine the target after the result was known.
So the 150-day row is useful as a post-result observation about risk management, not as a promoted strategy.
There is an important difference between these two statements:
This experiment produced the second result for every horizon.
The HAC lower bounds matter because daily strategy returns are not safely assumed to be independent and identically distributed. But the terminal interpretation does not depend on statistical subtlety alone. Before looking at confidence intervals, all four observed mean excess-return estimates were already on the wrong side of zero.
It does not establish that the original paper was wrong.
The paper evaluated a different historical period and different source/index data. It reported the behavior of its strategies on that sample. Our experiment used Binance Spot BTCUSDT daily bars, a specific next-open execution convention, a fixed 0.1% per-leg cost, a frozen benchmark and a predeclared family-survival rule.
The supported conclusion is narrower:
the published BTC trend-following mechanism did not survive this subsequent evaluation under our frozen data, timing, cost, benchmark and survival contract.
That is a replication result, not a universal claim about trend following and not an accusation about the original authors’ work.
Published strategies are unusually easy to evaluate badly after the fact. One can choose the best published parameter, adjust the execution convention, change costs, emphasize Sharpe instead of return, or decide that drawdown reduction was the real objective only after seeing the results.
Freezing the whole published parameter family removes much of that freedom.
Here it produced a result with more information than a simple “worked / did not work” label. The trend filters continued to behave like risk overlays: they spent substantial time flat and materially reduced drawdown. At the same time, they did not earn positive excess return over the benchmark in the frozen evaluation.
Both observations can be true. Keeping them separate is the discipline.
This page is derived from the preserved terminal research artifacts; the strategy was not rerun, retuned or re-evaluated for publication.
The deterministic lineage was:
published paper → prospectively specified proposal → capability assessment → official-source admission → immutable experiment freeze → explicit authorization gate → bounded Binance capture → normalized dataset with provenance → deterministic four-horizon evaluation → FALSIFIED terminal result → immutable novelty-history registration
The principal identities are:
48080d526ea006e31aafb25b250e59c3025ba5a309d3d4848200f94b5c35466fe8b616f494a35fe43ef16f46ef1fac1590189c1d9358a0304fa06202ec2973157ea7f981bedd01448579d14d76ebcdbc649da8657ab0c06c215ec790cc1181731ea305ddffd464380c64c007f05da0b2397947f57d061ac5536f37c0163715f04e2700eb52bb549d6110e1ad5cc543eccc2f3e3d8437c2b4ef94373425f3bb70329ef70346266423bec9377f07553cf89a3bacd7d5cf237d388a7630ede4624df9fccc6394470b15213a5f0a4d8a32505ba2609cef246ed72ce6dcffbf3142aaNo qualification occurred. No strategy was exported. No paper or live order was placed, and no integration with the separate trading runtime occurred.
Frozen decision rule
Every lookback improved drawdown, but survival required all three conditions. Negative excess-return estimates prevented every variant from passing, so the 3-of-4 family rule could not be met.
Inspect the evidence
These two compact terminal artifacts expose the deterministic evaluation and final research verdict. The original paper is linked separately; raw market payloads and internal runner material are not republished here.
4e2700eb52bb549d6110e1ad5cc543eccc2f3e3d8437c2b4ef94373425f3bb70
Terminal research result
The FALSIFIED outcome, terminal reason, core lineage identities and action counters.
SHA-256
329ef70346266423bec9377f07553cf89a3bacd7d5cf237d388a7630ede4624d