PUBLIC RESEARCH / 01

BTC Strategy
The complete factsheet.

Performance, risk, implementation assumptions and source-reported validation studies.

01 Jan 2015 — 31 Aug 2026Spot · Fully funded
Evidence status: source-reported simulation.No independent BTC performance audit, broker-verified BTC live record, BTC raw daily history or BTC production engine was supplied. BTC charts are preserved from the original package. The new ETF/index CSV is used only for Dual Engine. Read the scope and limitations ↗

How to read this report. Daily simulation. BTC Hold is the benchmark. Modeled costs: 10 bps per executed side; no base-case annual carry. The historical return is unusually high. It is a research result, not an annual return target.

References to internal testing describe what the published research reports; they are not certification by an external auditor. Positive historical windows, bootstrap frequencies and synthetic stress results are not probabilities or limits for the future.

Executive Summary (Net Base Case)

CAGR
158.33%
BTC: 60.52%
Max Drawdown
-27.02%
BTC: -83.62%
Sharpe (rf=0)
2.50
BTC: 1.04
Calmar
5.86
BTC: 0.72
Volatility (ann.)
41.36%
BTC: 67.38%
Ulcer Index
7.99
BTC: 41.81
Historical loss-window frequency (12m)
0.00%
BTC: 26.33%
Historical loss-window frequency (36m)
0.00%
BTC: 0.19%
Period: 2015-01-01–2026-08-31 · Initial capital: $10,000 · Updated: 2026-08-31
Execution assumptions (base): 10 bps per side, annual carry 0.0%.

Equity Curve (Net Base Case)

Strategy (Net)
CAGR: 158.33% | Max DD: -27.02% | Calmar: 5.86 | Longest DD: 284 days
BTC Hold
CAGR: 60.52% | Max DD: -83.62% | Calmar: 0.72 | Longest DD: 1,079 days
Y-axis shown as Index (Base 100) with a secondary Multiple (×) scale for readability.
Equity shown in logarithmic scale.
Initial capital: $10,000 · Period: January 2015 – August 2026 · Daily mark-to-market simulation · Data source: reported historical market data

Data & Methodology

Execution Model: The base model assumes a fully funded spot implementation with no leverage or margin borrowing. The complete instrument set, allocation limits, transition rules and internal safeguards are proprietary and are intentionally omitted from the public factsheet.

BTC Benchmark: BTC benchmark represents a buy-and-hold spot BTC position normalized to the same initial capital as the strategy, with no trading costs applied.

Turnover Measure: Spread and slippage stress tests use a consistent modeled portfolio-turnover reference. The exact allocation series and internal portfolio construction fields are not disclosed publicly.

Carry Assumptions: Additional carry scenarios are shown only as generic implementation-cost diagnostics. They are not part of the public base implementation, which is fully funded and spot-only.

Backtest window: January 2015 – August 2026. The starting date was selected to ensure consistent data integrity, sufficient market liquidity, and reliable trading infrastructure conditions.
Performance is calculated using daily mark-to-market equity based on historical market reference prices. Strategy results are shown net of execution costs as specified in the assumptions section.

Key Metrics (Strategy vs BTC Hold)

MetricStrategyBTC Hold
CAGR (Lower-friction reference: 7.5 bps/side)159.43%60.52%
CAGR (Net: 10 bps/leg)158.33%60.52%
CAGR (Carry stress: +5% annual)145.41%60.52%
Maximum Drawdown (Lower-friction reference)-27.01%-83.62%
Maximum Drawdown (Net: 10 bps/leg)-27.02%-83.62%
Calmar Ratio (Net)5.860.72
Sharpe Ratio (Net, rf=0)2.501.04
Sortino Ratio (Net, rf=0)3.641.38
Volatility (Net, ann.)41.36%67.38%
Ulcer Index (Net)7.9941.81
Observed loss-window frequency (12m)0.00%26.33%
Observed loss-window frequency (36m)0.00%0.19%
Worst Rolling 1Y Return (Net) · metrics.json10.34%-83.56%
Worst Rolling 2Y Return (Net) · metrics.json73.09%-65.42%
Worst Rolling 3Y Return (Net) · metrics.json301.29%-9.80%
Outperformance vs BTC (CAGR, Net)97.81 pp—
Drawdown Reduction vs BTC (Net)56.60 pp—
Daily Historical VaR 95% (Net)-2.60%-5.25%
Daily Historical Expected Shortfall 95% (Net)-4.51%-8.25%
Daily Parametric VaR 95% (Net)-3.28%-5.61%
Daily Parametric Expected Shortfall 95% (Net)-4.18%-7.08%
Worst Daily Return Observed-13.41%-38.97%
Final Equity (Net, USD; initial $10,000)$641,660,494.13$2,494,912.05
Average Drawdown (Net)-5.95%-34.00%
Median Drawdown (Net)-4.64%-30.19%

Daily Tail Risk: VaR & Expected Shortfall

All values below use metrics.json → risk_tail. The original static table and the JSON contained different values; the source choice is documented in the transparency notes. This is a consistency correction, not a backtest rerun.

Series / source methodDaily VaR 95%Expected shortfall 95%Worst reported day
Strategy Net · historical-2.60%-4.51%-13.41%
Strategy Net · supplied parametric estimate-3.28%-4.18%Not applicable
BTC Hold · historical-5.25%-8.25%-38.97%
BTC Hold · supplied parametric estimate-5.61%-7.08%Not applicable

The supplied parametric estimates must not be conflated with a zero-drift normal calculation. Raw returns and the calculation engine are not available in this package. VaR is not a maximum-loss estimate.

Implementation Scenarios & Generic Carry Stress

ScenarioCAGRMax DDSharpeProb Loss (12m)Prob Loss (36m)
Lower-friction reference (7.5 bps/side)159.43%-27.01% 2.510.00%0.00%
Net base (10 bps/leg)158.33%-27.02% 2.500.00%0.00%
Carry stress (+5% annual)145.41%-27.16% 2.380.00%0.00%
Carry-stress scenario uses a conservative 5% annual generic carry assumption applied daily to invested BTC allocation. The public base implementation remains spot-only and fully funded.

Out-of-Sample Validation (Time-Based Holdout)

The development/holdout labels are those of the published research. The chronological model-freeze record and untouched raw validation data are not included, so independence from model selection has not been established by this website review.

This is a time-based holdout split designed to evaluate robustness across distinct market regimes. It is not walk-forward re-optimization. The split reduces hindsight bias while keeping proprietary signal logic undisclosed.
Development: 2015–2019 · Out-of-sample: 2020–August 2026 (net base case)
PeriodStrategy CAGRStrategy Max DDStrategy SharpeBTC CAGRBTC Max DDBTC Sharpe
Development (2015–2019) 227.68%-27.02%2.71 86.90%-83.62%1.21
Out-of-sample (2020–August 2026) 116.20%-17.89%2.35 43.21%-76.67%0.90

Rolling Stability (1Y)

Rolling max drawdown (1Y)
Rolling volatility (1Y, annualized)
Rolling metrics help validate consistency across regimes without revealing model internals.

Rolling-window summary

Unreconciled source values. The static rolling table below reports 68.79% for the worst 2Y window and 290.49% for the worst 3Y window. The supplied metrics.json → extended_table reports 73.09% and 301.29%, respectively. The key-metrics table uses the JSON values consistently. The static distribution is retained here for traceability, not silently blended into the JSON series. Raw observations are required to resolve the discrepancy.
WindowWorstMedianMeanPositive windows
6M-20.84%45.19%80.45%94.9%
1Y10.34%128.23%251.29%100.0%
2Y68.79%489.56%1069.95%100.0%
3Y290.49%1526.45%3246.63%100.0%
Windows start on every available date and overlap. They are entry-date sensitivity diagnostics, not thousands of independent market histories.

Methodology & Governance

Investor summary: This factsheet presents the strategy universe, assumptions, historical simulation, risk metrics, stress tests and governance process in a format designed for investor review. Approved clients receive the live execution instructions required to follow the strategy.
Research & validation approach
Parameter selection: The source-reported production strategy is frozen for public reporting. The factsheet discloses performance, risk, implementation assumptions and validation evidence while keeping portfolio construction and decision rules confidential.
Holdout validation: Development 2015–2019; out-of-sample 2020–August 2026. No walk-forward re-optimization is implied in this factsheet.
Notes: The strategy is a fully funded spot framework centered on Bitcoin exposure. Additional portfolio components and all signal, ranking, threshold, sizing and reallocation logic remain confidential.

Fees & Slippage Sensitivity

CAGR sensitivity vs round-trip cost (bps)
Cost (bps/side)Round-trip (bps)CAGRMax DDSharpeCalmar
7.515 159.43%-27.01%2.515.90
1020 158.33%-27.02%2.505.86
1530 155.88%-27.05%2.485.76
2040 153.62%-27.07%2.455.67
3060 149.74%-27.12%2.415.52
Costs are applied per leg/side. Round-trip cost = 2× per-side.

Implementation Scenarios

Base portfolio compared with generic implementation-cost stress scenarios. Exact allocation logic is not disclosed.
CAGR sensitivity to generic annual implementation-cost drag.
Same comparison in log scale for readability across regimes.
Relative outperformance vs BTC (equity-normalized): Strategy / BTC - 1.

Cost Robustness Frontier

Joint implementation-cost stress test. Heatmap shows the strategy’s CAGR advantage versus passive Bitcoin under progressively harsher cost assumptions.

Cost Sensitivity

Same strategy, different implementation-cost assumptions. Scenarios below illustrate how results may vary under the spot base case, higher fee/slippage assumptions and generic annual carry stress. Carry stress is modeled as an annualized implementation-cost drag on the portfolio.
ScenarioVenueFees+Slip (bps/side)Carry (ann.)TypeAssumptionsCAGRMax DDCalmarSharpe
Base (Spot)Spot (exchange)10.0——Fees+slip 10.0 bps/side (20.0 rt); Carry none158.33%-27.02%5.862.50
Carry stress (-3%/yr)Generic carry stress10.03.00%CarryFees+slip 10.0 bps/side (20.0 rt); Carry Carry 3.00% annNot suppliedNot suppliedNot suppliedNot supplied
Carry stress (-5%/yr)Generic carry stress10.05.00%CarryFees+slip 10.0 bps/side (20.0 rt); Carry Carry 5.00% ann145.41%-27.16%5.352.38
High carry stress (-8%/yr)High carry stress10.08.00%CarryFees+slip 10.0 bps/side (20.0 rt); Carry Carry 8.00% annNot suppliedNot suppliedNot suppliedNot supplied
High carry stress (-12%/yr)High carry stress10.012.00%CarryFees+slip 10.0 bps/side (20.0 rt); Carry Carry 12.00% annNot suppliedNot suppliedNot suppliedNot supplied
Stress: Fees+Slippage ×2Any20.0——Fees+slip 20.0 bps/side (40.0 rt); Carry none153.62%-27.07%5.672.45
Carry costs are applied on average BTC allocation (—). Assumptions can be overridden via meta.execution_assumptions.cost_sensitivity_overrides in metrics.json.

Source consistency correction: the original website fallback repeated the base-case result for every carry rate. Only the 5% carry stress has a distinct result in metrics.json → headline.strategy_carry_stress. Outcomes for 3%, 8% and 12% are not supplied and have not been estimated. Original chart images are preserved and are not independent evidence for the missing outcomes.

Probability of Ruin & Recovery After Shock

MetricValue
Ruin threshold80% loss (equity < 20% of initial)
Probability of ruin (bootstrap, full sample)0.00%
Probability of ruin (rolling 12m windows)0.00%
Probability of ruin (rolling 36m windows)0.00%
Shock event date (synthetic)2020-03-12
Recovery time after shock — Strategy (days)301
Recovery time after shock — BTC (days)302
“Ruin” is defined here as an ≥80% capital impairment (equity falling below 20% of initial capital). Probabilities are estimated from bootstrap resampling and rolling-window diagnostics.

Synthetic Stress Scenarios

ScenarioCAGRMax DDVol
Vol_x2101.12%-76.28%82.73%
Shock_-80124.91%-83.42%47.66%
Sideways_zero_drift-8.10%-93.61%41.36%
Transparent transformations of the daily return series (net base case).

Stress Comparison vs BTC

ScenarioStrategy CAGRStrategy Max DDBTC CAGRBTC Max DDCAGR Diff (pp)DD Reduction (pp)
Vol_x2 101.12%-76.28% -22.26%-99.96% 123.38 pp23.68 pp
Shock_-80 124.91%-83.42% 39.80%-95.01% 85.11 pp11.59 pp
Sideways_zero_drift -8.10%-93.61% -20.52%-99.27% 12.42 pp5.66 pp
Stress scenarios are synthetic transformations of returns and do not represent forecasts. The table highlights whether the strategy improves outcomes vs passive BTC under adverse conditions.
The audit improves confidence but cannot prove future profitability. Production portfolio-construction and decision logic are intentionally omitted from the public factsheet.
Test familyResult
Nearby-parameter sensitivity304 of 304 tested neighboring configurations remained above BTC Hold and the strategy remained inside a broad viable region.
Independent startsAll tested annual start dates remained positive versus BTC Hold over the available endpoint.
Leave-cycle-outThe advantage remained after excluding each major cycle block.
Asset failure / unavailabilityAnonymized component-removal and modeled disruption scenarios remained within the documented robustness range; component identities and exposure limits are confidential.
Order failure / missing signalsRandom missed implementation events and retry delays generally preserved the historical edge; extreme repeated failures can materially reduce it.
Adverse path clusteringThe main structural weakness in this diagnostic is a high concentration of severe adverse moves immediately after portfolio changes; sufficiently extreme clustering can materially reduce the historical edge.

Operational robustness summary

Anonymized implementation scenarioCAGRMax DDCalmar
Scenario A158.33%-27.02%5.86
Scenario B139.92%-29.26%4.78
Scenario C136.03%-29.92%4.55
Scenario D124.93%-31.42%3.98
Scenario E110.53%-31.09%3.55
Scenario F102.63%-36.26%2.83

Operational implementation sensitivity

Disciplined execution: the live process includes private safeguards intended to reduce uneconomic micro-adjustments and tracking noise. Exact thresholds, batching rules and synchronization logic are confidential.

Execution & Structural Robustness

Robustness & Risk

Underwater curve — Strategy (Net)
Underwater curve — BTC Hold
Rolling Sharpe (1Y, rf=0) — Net vs BTC Hold
Public process overview — portfolio components, weights and signal logic intentionally omitted.
Volatility-matched BTC benchmark (log)
Rolling CAGR (1Y) — Strategy (Net)
Rolling CAGR (3Y) — Strategy (Net)

Monte Carlo (Bootstrap)

Equity fan (P5–P95, log)
CAGR distribution
Max drawdown distribution
Monte Carlo Summary
Final Equity — P5: $97,225,792, P50: $769,387,869, P95: $10,089,221,628
CAGR — P5: 119.59%, P50: 162.35%, P95: 226.55%
Max Drawdown — P5: -36.81%, P50: -31.28%, P95: -23.85%

Regime Analysis (Bull / Bear / Sideways) — Strategy vs BTC

RegimeDaysStrategy CAGRBTC CAGRCAGR Diff (pp)Strategy Max DDBTC Max DDDD Reduction (pp)Strategy VolBTC Vol
Bull2228 383.83%349.02%34.81 pp -27.02%-57.97%30.95 pp 49.80%68.56%
Bear1351 38.74%-57.98%96.72 pp -20.80%-96.11%75.30 pp 28.88%68.79%
Sideways681 13.35%-20.98%34.33 pp -23.28%-61.83%38.55 pp 29.22%58.64%

Strategy Profile

The model is designed as a systematic, rules-based and low-turnover allocation framework rather than a high-frequency trading system.

The strategy has been backtested, stress-tested, source-reported against the internal engine package, and placed under a defined review protocol so that future parameter changes require evidence rather than discretionary adjustment.

Its objective is to improve long-horizon risk-adjusted outcomes relative to passive Bitcoin exposure through a proprietary systematic portfolio process.

Portfolio changes are systematic and relatively infrequent. The production decision logic is confidential.

The objective is not to maximize trading frequency, but to improve risk-adjusted performance relative to passive Bitcoin exposure through disciplined systematic portfolio management.

The strategy is therefore structurally different from leveraged or high-frequency crypto trading systems.

Capacity & Liquidity Considerations

The strategy is designed for liquid Bitcoin markets with low turnover relative to typical crypto trading systems. Execution assumptions use the base execution cost of 10 bps per leg, with additional sensitivity tests.
  • Primary implementation: fully funded spot allocation across a private approved instrument set; no leverage or short selling
  • Turnover: moderate to low compared to high‑frequency crypto strategies
  • Cost modeling: includes fees, slippage, and generic carry stress scenarios
  • Capacity expected to scale with market liquidity conditions

Review & Optimization Protocol

Recommended control framework

Governance objective: preserve the strategy as a systematic, tested and auditable process. The review protocol exists to monitor degradation, execution risk, data quality and structural market changes without turning the model into discretionary or reactive optimization.

Recommendation: this should not be treated as a single automatic optimization every two years. The safer approach is a full biennial research review plus ongoing monitoring. Parameters remain frozen unless the evidence shows a real structural change and a candidate passes robustness gates.

Monthly / quarterly monitoring: rolling performance and risk, data quality, implementation quality, turnover, modeled costs and return concentration.

Every two years: re-run the complete backtest and refresh rolling, stress, Monte Carlo, resampling and implementation-sensitivity studies before considering any model change.

Change gates: any candidate must improve robustness without materially worsening Max DD, Ulcer, worst 1Y/2Y, average drawdown, trade concentration or execution burden. No parameter should be changed only because a new two-year date arrived.

Review decision: keep the strategy logic frozen and use this protocol as surveillance. Research changes require material evidence from data quality, implementation conditions and reported performance diagnostics.

Institutional Notes (Methodology & Interpretations)

Why “Shock −80” can show ~83.70 Max DD
The “Shock −80” scenario is a deliberately severe tail-risk diagnostic built by injecting an extreme crash into the daily return series (net base case). This stress exceeds typical historical conditions and is intended to probe structural resilience rather than represent a baseline expectation. Under such a discontinuous shock, peak-to-trough drawdowns can approach total impairment even for robust strategies.
Interpretation is based on comparative behavior (strategy vs BTC), recovery characteristics, and probability metrics—not the single worst point estimate.
This factsheet therefore also reports: recovery time after shock, probability of ruin, and stress comparisons vs BTC.
Directional exposure policy
The public implementation is fully funded and non-leveraged. Exploratory research alternatives are not part of the production strategy and do not reveal the private portfolio-construction logic.
Parameter sensitivity
Parameter sensitivity checks were performed manually across reasonable ranges to confirm the model is not dependent on a narrow “knife-edge” configuration. Results remained stable within practical parameter bands, supporting robustness and reducing overfitting concerns.

End of the public factsheet.

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Source research chart

Original source figure. Historical simulation, not a live performance record.

BTC Spot copy trading · account-setup tutorial

Original instructions for configuring the Azimuth BTC Binance Spot Copy Trading account, 2:19. Use the written settings and platform notes. For BTC Spot only; not a Dual Engine signal guide.

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