Archive / Crypto & DeFi / E003
Bitcoin hour-of-day and weekday patterns do not pay
A Bitcoin weekday rule, long 6 days of 7, beat buy-and-hold in only 2 of 3 windows (Sharpe gaps +0.06, -0.58, +0.62), and the Thursday it skipped did not hold up on a 24-coin basket.
People say Bitcoin has strong and weak hours and weekdays. We picked the long or short side of each hour and weekday bucket on the first 60% of history and traded it in the next two windows, paying 7 bp per side. The weekday rule was long on 6 of 7 days, so it mostly held Bitcoin. Net Sharpe was 1.04, 0.96 and 0.39, but buy-and-hold scored 0.98, 1.54 and -0.23: the rule lost to holding in validation. Hour-of-day rules had a net Sharpe around -10. Thursday, skipped by the rule, was -32 bp a day on Bitcoin and +29 bp on a basket, one bucket picked afterwards.
Bitcoin has hours of the day and days of the week that are reliably strong or weak, and a trader can lean on them.
Why people believe it
People point to the rhythm of trading sessions, the weekend lull and the habits of traders in different time zones, and expect returns to repeat by the clock. A rule that only needs a calendar looks like a free signal.
Why it would persist The argument, as stated before testing
The belief is that a pattern tied to the clock has no news to trade on and is too small to interest large funds, so it would remain.
For each of the 24 hours, each of the 7 weekdays and each of the 168 hours of the week, we looked at Bitcoin's average return in the first 60% of the history and took that bucket long if it was positive and short if negative. We then traded that fixed choice in the next two windows, paying a cost every time the position changed, and compared the weekday rule with simply holding Bitcoin over the same windows. A follow-up checked the weakest weekday, Thursday, on a basket of 24 coins as independent evidence.
Standard pass rule used for all tests; not pre-registered for this test. Net Sharpe above 0 in selection, validation and holdout, above buy-and-hold in the same windows, a bootstrap interval of the validation and holdout Sharpe that excludes 0, and survival at 2x costs. The Thursday follow-up had no pass rule; it reported the mean daily return and a t-statistic per window.
Standard rejection rule used for all tests; not pre-registered for this test. Any default criterion failed. The weekday rule failed the buy-and-hold criterion: its Sharpe was below buy-and-hold in validation (0.96 vs 1.54). Hour-of-day rules failed on net Sharpe.
7 bp one way (5 bp fee + 2 bp slippage), charged on the absolute change of position, per entry and exit. The Thursday follow-up is gross daily return with no cost applied.
Long-only buy-and-hold of Bitcoin in the same three windows, for the weekday rule. For Thursday, the same weekday on a 24-coin equal-weight basket.
The weekday rule failed the default requirement to beat buy-and-hold in every window (it lost in validation, 0.96 vs 1.54), and hour-of-day rules had a net Sharpe around -10.
- Hour-of-day and hour-of-week rules had a gross Sharpe of about 0 out of sample and a net Sharpe around -10, after 7 bp per side.
- The weekday rule is long on 6 of the 7 days. Its net Sharpe was 1.04, 0.96 and 0.39 in selection, validation and holdout, positive in all three. Because it is long on 6 of 7 days, it mostly held Bitcoin.
- Buy-and-hold Bitcoin scored 0.98, 1.54 and -0.23 in the same windows. The rule beat it in 2 of 3 windows, with Sharpe gaps of +0.06 (selection), -0.58 (validation) and +0.62 (holdout), so it failed the requirement to beat buy-and-hold in every window.
- Thursday was picked after the fact as the one weekday to skip: -32 bp per day on Bitcoin in selection (t about 1.4) against +29 bp on an equal-weight 24-coin basket (t 0.8). Its effect did not hold up as a rule. All figures are gross of cost.
The weekday rule lost to holding in validation
Weekday rule, net of 7 bpBuy-and-hold
Annualised net Sharpe of the weekday rule (long on 6 of 7 days) against simply holding Bitcoin, per window. The rule is ahead by 0.06 in selection, behind by 0.58 in validation (0.96 vs 1.54) and ahead by 0.62 in holdout, where holding lost (-0.23).
Chart data (net Sharpe)
| Weekday rule, net of 7 bp | Buy-and-hold | |
|---|---|---|
| Selection | 1.04 | 0.98 |
| Validation | 0.96 | 1.54 |
| Holdout | 0.39 | -0.23 |
Why it failed Interpretation · not established
Interpretation: hour rules have no gross signal for 7 bp per side to erode. The weekday rule is mostly a long position, so beta rather than seasonality may explain most of its Sharpe. Thursday is one bucket out of seven, picked after the fact, and a pattern chosen that way is expected to look strong in the sample it was chosen from.
Lesson
Always put buy-and-hold next to a calendar rule: a rule that is long 6 days in 7 inherits the trend of the sample. A bucket picked after seeing the data needs an independent test, and here the same weekday on a 24-coin basket was +29 bp in selection against -32 bp on Bitcoin.
Scope of this result
Covers Bitcoin perpetual hourly closes from 2020-01 to 2026-10, sign-of-mean rules per hour of day, weekday and hour of week, 7 bp per side, and the Thursday daily return on a 24-coin equal-weight basket over the same windows without costs.
A rejected experiment applies to the tested conditions and does not prove an idea can never work. bp = basis point, 0.01%.
1. Test design
Pre-registeredDataUniverseSignalExecutionCostsControlsSample splitPass criterionKill criterionPower2. Result
ObservationsInstrumentsNet mean95% intervalMedianWorstFinding 1Finding 2Finding 3Finding 43. Interpretation
Why it failedLessonScope4. Reproducibility
StepsGrade