Wardell Rotation Strategy

A Multi-Regime Asset Rotation Framework Incorporating Cryptocurrency as a Risk-On Asset: Empirical Evidence 2016–2025

We present a systematic monthly-rebalancing rotation strategy that allocates capital across Bitcoin, a broad equity index, gold, and sovereign bonds based on a composite regime score. Using real historical monthly return data from January 2016 to April 2025 (112 months), the hindsight-optimal strategy achieves a CAGR of 100.3%, Sharpe ratio of 1.47, and maximum drawdown of −34% vs Bitcoin buy-and-hold (CAGR 79.2%, MaxDD −75.6%). We provide full institutional-grade audit findings, Monte Carlo uncertainty quantification, and an honest assessment of live deployment limitations.
Research Paper Systematic Strategy Real Market Data Audit-Grade Analysis
Working Paper — May 2026 SSRN Reference: 6653818 Period: Jan 2016 – Apr 2025

Contents

  1. Abstract
  2. Introduction
  3. Strategy Description
  4. Data & Methodology
  5. Performance Results
  6. Regime Analysis
  7. Risk & Drawdown Analysis
  8. Rolling Statistics
  9. Monte Carlo Simulation
  10. Robustness & Sensitivity Tests
  11. Benchmark Comparison
  12. Full Monthly Record
  13. Audit Findings
  14. Conclusions & Forward Outlook
  15. Appendix

Abstract

Abstract

This paper presents and rigorously evaluates the Wardell Rotation Strategy (MARS V2), a monthly-rebalancing systematic rotation framework that dynamically allocates capital between Bitcoin (BTC), a broad equity index ETF (CSPX/SPY proxy), a gold ETF (SGLN/GLD proxy), and a sovereign bond ETF (IGLS/TLT proxy), based on a composite regime score C incorporating technical momentum, news sentiment, macroeconomic indicators, and market exposure signals.

Using actual monthly closing price data from January 2016 to April 2025 (112 monthly observations), and applying a retrospectively constructed regime classification map, we find the strategy achieves a compound annual growth rate (CAGR) of 100.3%, Sharpe ratio of 1.473, Sortino ratio of 4.193, and maximum drawdown of -34.0% on an initial investment of £4,000. This materially outperforms naive Bitcoin buy-and-hold (CAGR 79.2%, MaxDD -75.6%) and the S&P 500 (CAGR 13.5%, MaxDD -23.9%), while demonstrating 41.6 percentage points of maximum drawdown reduction versus unhedged Bitcoin exposure.

We conduct an institutional-grade audit identifying three critical methodological limitations: (1) the regime map was constructed retrospectively, constituting look-ahead bias; (2) greater than 95% of excess returns derive from three Bitcoin bull cycles, making performance contingent on regime identification accuracy in live trading; and (3) with only 4 independent bull cycles, statistical confidence in parameter estimates remains limited. Monte Carlo analysis (2,000 block-bootstrap paths) yields a 5th–95th percentile final balance range of £145,823–£54,219,161, confirming substantial outcome uncertainty. We conclude the framework is conceptually sound and warrants live validation through paper trading before capital deployment.

Keywords: systematic rotation, cryptocurrency, regime detection, multi-asset, momentum, risk management, drawdown control

JEL Classification: G11, G12, G17

Risk Disclosure: This paper is for research purposes only. Past performance does not guarantee future results. All simulations use a hindsight-optimal regime map that is not achievable in live trading. See Section 13 for full audit findings.


1. Introduction

The emergence of Bitcoin (BTC) as an institutionally recognised asset class since 2017 presents systematic portfolio managers with both challenge and opportunity. With annualised volatility regularly exceeding 80% and occasional monthly gains above 50%, Bitcoin's return distribution is fundamentally incompatible with classical mean-variance optimisation frameworks that assume Gaussian returns.

Simultaneously, Bitcoin's halving cycle creates a well-documented four-year structural pattern of alternating bull and bear regimes (Panagiotidis et al., 2019). An investor who correctly identifies and participates in Bitcoin bull markets while rotating to defensive assets during bear markets would theoretically capture extraordinary risk-adjusted returns. The central question is whether such identification is achievable systematically in real time.

The Wardell Rotation System (MARS V2) addresses this by implementing a regime-conditional allocation framework: a monthly composite score derived from four independent signal components drives allocation across a spectrum from aggressive (100% BTC) to defensive (100% government bonds), with two intermediate states using equity and gold.

This paper makes three contributions. First, we provide the first rigorous independent evaluation of the MARS V2 strategy using real monthly price data rather than the simulated Gaussian returns used in earlier versions. Second, we conduct institutional-grade robustness testing including execution lag analysis, regime noise sensitivity, Monte Carlo simulation, and stress tests. Third, we provide a frank assessment of the strategy's limitations and the conditions under which live performance would deviate from the historical simulation.

⚠ Important Methodological Caveat

All results in this paper use a retrospectively constructed regime map — every allocation decision was labelled with full knowledge of subsequent market outcomes. This constitutes look-ahead bias. The headline performance figures represent an upper bound on achievable returns, not a forecast of live performance. Section 13 quantifies the degradation expected from a real-time signal engine.

2. Strategy Description

2.1 Composite Regime Score

The composite score C is computed monthly as a weighted linear combination of four normalised signal components:

C = T × 0.50  +  N × 0.20  +  M × 0.20  +  E × 0.10

where each component is normalised to [0, 1]. The components are:

2.2 Regime Classification

Score RangeRegimeAsset AllocatedRationale
C ≥ 0.70BULLBitcoin (BTC)Strong multi-signal consensus for risk-on conditions
0.55 ≤ C < 0.70NEUTRALEquity Index (CSPX)Moderate optimism; broad market participation without BTC volatility
0.40 ≤ C < 0.55WARNINGGold (SGLN)Deteriorating signals; defensive precious metals as store of value
C < 0.40BEARBonds (IGLS)Multi-signal bear consensus; capital preservation in sovereigns

2.3 Portfolio Construction Rules

2.4 S6 Combined Variant

An enhanced variant (S6) adds two risk filters: (1) an asymmetric confirmation filter requiring 2-month consensus before upgrading to a higher-risk asset (but allowing immediate downgrade), and (2) a BTC gate that suspends BTC allocation for one month following a single-month BTC return below −15%. These filters reduce whipsawing near regime boundaries and limit BTC tail exposure.

3. Data & Methodology

3.1 Data Sources

All performance simulations in this paper use real monthly price data downloaded from Yahoo Finance via the yfinance Python library, using month-end closing prices. This represents a methodological improvement over earlier versions of this research that used Gaussian-simulated returns parameterised on historical annual means and volatilities.

AssetTickerRolePeriodSource
BitcoinBTC-USDBULL regime assetJan 2016 – Apr 2025Yahoo Finance
S&P 500 ETFSPYNEUTRAL regime proxy (CSPX)Jan 2016 – Apr 2025Yahoo Finance
Gold ETFGLDWARNING regime proxy (SGLN)Jan 2016 – Apr 2025Yahoo Finance
Long Bond ETFTLTBEAR regime proxy (IGLS)Jan 2016 – Apr 2025Yahoo Finance

3.2 Return Computation

Monthly returns are computed as end-of-month price relatives: rt = Pt/Pt-1 − 1, where Pt is the last trading day closing price in month t. All prices are adjusted for dividends and splits (auto_adjust=True in yfinance).

3.3 Transaction Cost Model

Transaction costs are applied whenever the strategy rotates between assets. The cost model is:

BTC fee = balance × 0.18% + balance × 0.10%  (= 0.28% all-in)
ETF fee = £1.70 + balance × 0.009%  (IBKR flat + slippage)

3.4 Deposit Schedule

The simulation models an initial deposit of £1,500 at inception (January 2016), followed by five additional monthly deposits of £500 each (months 2–6), totalling £4,000 invested capital. All subsequent months have zero new deposits — returns are purely from compounding.

3.5 Critical Methodological Note: The Oracle Regime Map

Critical: Look-Ahead Bias

The regime sequence used in all base simulations was manually constructed with full knowledge of market outcomes. We denote this the oracle regime map Ω*. A live strategy must generate a regime forecast Ω̂ in real time from noisy signal data. The oracle map represents an upper bound on achievable performance. Section 10 quantifies performance degradation under increasing signal error rates.

4. Performance Results

4.1 Headline Statistics

100%
CAGR
£2611k
Final Balance
1.47
Sharpe Ratio
4.19
Sortino Ratio
-34%
Max Drawdown
2.95
Calmar Ratio
58%
Ann. Volatility
59%
Win Rate
4.80
Omega Ratio
4.80
Profit Factor
-8.3%
VaR 95% (mo.)
0.119
Ulcer Index
Figure 1 — Equity Curves vs Benchmarks
Equity Curves
Figure 1: Strategy equity curve (teal) vs SPY buy-and-hold (grey dashed), QQQ (dark grey), Bitcoin buy-and-hold (orange dashed), naive Bitcoin B&H (gold dashed), and 60/40 portfolio (purple dash-dot). Lower panel: underwater drawdown chart. Bottom strip: regime classification timeline (oracle labels). Period: January 2016 – April 2025. Starting capital: £1,500 + £500/month for 5 months.

4.2 Full Performance Attribution Table

Metric MARS V2 * Bitcoin B&H S&P 500 (SPY) QQQ 60/40 Portfolio
Final Balance £2,611,418 £926,052 £13,039 £19,300 £8,061
CAGR100.3%79.2%13.5%18.4%7.8%
Sharpe Ratio1.4731.2681.1361.2530.974
Sortino Ratio4.193
Calmar Ratio2.952
Omega Ratio4.800
Max Drawdown-34.0%-75.6%-23.9%-32.6%-26.2%
Ann. Volatility58.3%78.3%22.9%24.5%20.8%
VaR 95% (monthly)-8.3%
CVaR 95% (monthly)-11.2%
Skewness+1.802
Excess Kurtosis+2.997
Ulcer Index0.1185
Win Rate (monthly)58.9%
Profit Factor4.800
Total Trades43111
Total Fees£23,715
t-statistic4.501
p-value (H₀: ret=0)0.0000

* MARS V2 uses hindsight oracle regime map. Live performance will differ. See Section 13.

Figure 5 — Benchmark Comparison
Benchmark Comparison
Figure 5: Side-by-side comparison of CAGR (left), Sharpe ratio (centre), and maximum drawdown (right) across MARS V2, SPY, QQQ, BTC buy-and-hold, 60/40, and naive Bitcoin B&H. MARS V2 highlighted in teal.

5. Regime Analysis

5.1 Regime Time Allocation & Return Contribution

RegimeAssetMonths% of PeriodAvg Monthly ReturnAnnualised Equivalent
BULL BTC 54 48.2% +14.59% +412%
NEUTRAL CSPX 26 23.2% +0.98% +12%
WARNING SGLN 17 15.2% +0.17% +2%
BEAR IGLS 15 13.4% -0.99% -11%
Key Finding: Return Attribution

The BULL regime (48.2% of months) generates an average monthly return of +14.59% — equivalent to +412% annualised. The remaining 51.8% of months in defensive assets (NEUTRAL, WARNING, BEAR) average only +0.05% monthly. This confirms the strategy's excess returns are primarily driven by Bitcoin bull cycle participation. Removing all BTC exposure reduces CAGR to 17.1%, isolating the defensive rotation contribution.

5.2 Regime Transition Matrix

From \ To BULL NEUTRAL WARNING BEAR
BULL79.6%9.3%9.3%1.9%
NEUTRAL23.1%46.2%26.9%3.8%
WARNING25.0%25.0%25.0%25.0%
BEAR6.7%26.7%6.7%60.0%
Figure 7 — Return Distributions by Regime
Regime Return Distributions
Figure 7: Monthly return histograms for each of the four regimes. BULL months (top-left) show a wide right-skewed distribution driven by Bitcoin's bull cycles. BEAR months (bottom-right) show mostly small negative returns from sovereign bonds in a low-yield environment.

6. Risk & Drawdown Analysis

6.1 Drawdown Profile

The strategy's maximum drawdown of -34.0% occurred during the 2021–2022 transition from late bull to bear regime. This compares favourably to Bitcoin buy-and-hold (-75.6%) and represents a 41.6 percentage point reduction in peak-to-trough decline. The Calmar ratio of 2.952 (CAGR / |MaxDD|) indicates favourable return-per-unit-of-drawdown relative to the benchmarks.

6.2 Tail Risk Statistics

Tail Risk MetricValueInterpretation
VaR 95% (monthly)-8.3%5% chance of losing more than this in a month
CVaR 95% (monthly)-11.2%Expected loss in worst 5% of months
Worst single month-17.7%Single largest monthly loss
Best single month69.6%Single largest monthly gain
Skewness+1.802Positive = right-tailed (BTC upside)
Excess Kurtosis+2.997Fat tails vs Gaussian baseline
Ulcer Index0.1185Depth and duration of drawdowns combined
⚠ Fat Tail Warning

Excess kurtosis of 3.00 indicates the return distribution has significantly fatter tails than a Gaussian distribution. This means the probability of extreme monthly returns (both positive and negative) is underestimated by standard normal-distribution models.

Specifically: the original simulation using Gaussian noise (σ = prescribed monthly vol) substantially underestimates the frequency of months with returns exceeding ±30%.

Figure 6 — Audit Risk Matrix
Risk Matrix
Figure 6: Risk matrix plotting identified strategy risks by likelihood of materialising (x-axis) and impact on returns (y-axis). Red zone: critical risks requiring immediate attention. Amber zone: significant risks to monitor. Green zone: managed or minor risks.

7. Rolling Statistics

Rolling 12-month statistics reveal regime-dependent performance clustering. The strategy exhibits periods of exceptionally high rolling Sharpe (>2.0 during BTC bull phases) alternating with near-zero or slightly negative rolling Sharpe during bear/transition periods. This pattern confirms the strategy's returns are not uniformly distributed — they are concentrated in specific market regimes.

Figure 2 — Rolling 12-Month Statistics
Rolling Statistics
Figure 2: Top — Rolling 12-month Sharpe ratio. Green shading indicates positive SR periods; red shading negative SR periods. Centre — Rolling 12-month CAGR. Bottom — Rolling 12-month annualised volatility. All computed using a trailing window of 12 monthly returns.
Figure 3 — Monthly Returns Heatmap
Monthly Returns Heatmap
Figure 3: Monthly returns heatmap for the full 2016–2025 period. Green cells indicate positive months; red cells negative. The intensity of colour corresponds to return magnitude (scale: ±70%). Months in BULL/BTC regime (2017, mid-2019, 2020H2, 2021, 2023) display the highest positive values, while defensive months show compressed but mostly positive returns.

7.1 Annual Return Summary

YearMARS V2SPYBTCDominant RegimeMARS vs SPY
2016 +4.9% +17.9% +161.3% NEUTRAL -13.0pp
2017 +1368.9% +21.7% +1368.9% BULL +1347.2pp
2018 -3.3% -4.6% -73.6% BEAR +1.2pp
2019 +92.2% +31.2% +92.2% BULL +61.0pp
2020 +162.1% +18.3% +303.2% BULL +143.7pp
2021 +253.6% +28.7% +59.7% BULL +224.9pp
2022 -16.4% -18.2% -64.3% BEAR +1.8pp
2023 +41.9% +26.2% +155.4% BULL +15.8pp
2024 +91.3% +24.9% +121.1% BULL +66.4pp
2025 +15.3% -5.1% +0.9% WARNING +20.5pp
Figure 10 — Annual Returns
Annual Returns
Figure 10: Annual return bar chart comparing MARS V2 (teal), SPY (grey), and Bitcoin (orange) for each calendar year. Years where MARS V2 outperforms both benchmarks (2017, 2019–2020, 2023) correspond to correctly identified Bitcoin bull cycles.

8. Monte Carlo Simulation

To quantify outcome uncertainty, we run 2,000 block-bootstrap paths. In each path, monthly returns are drawn in 3-month blocks from the historical sequence (preserving short-term autocorrelation), with small Gaussian perturbations added (σ = 0.5% per month). The same deposit schedule is applied to each path.

£146k
5th Percentile
£744k
25th Percentile
£2382k
Median
£8605k
75th Percentile
£54219k
95th Percentile
PercentileFinal BalanceCAGRvs Actual Result
5th£145,82347.0%-94% below actual
25th£744,24375.1%-72% below actual
50th (Median)£2,381,78398.3%below actual by 9%
75th£8,605,102127.5%+230% above actual
95th£54,219,161177.2%+1976% above actual
Interpretation: Enormous Outcome Uncertainty

The 5th-to-95th percentile spread of £145,823 to £54,219,161 represents a 372× range. This reflects the strategy's high path-dependency — outcomes are dominated by whether BTC bull cycles are captured. This should not be interpreted as strategy failure; it reflects the underlying asset's extreme return distribution, which the strategy partially tames through defensive rotation.

Figure 4 — Monte Carlo Simulation Results
Monte Carlo
Figure 4: Left — histogram of 2,000 final balance outcomes. Right — histogram of CAGR across 2,000 paths. Teal dashed line = actual strategy result; orange = median Monte Carlo path; red dotted = 5th percentile. Block bootstrap method preserves short-term autocorrelation.

9. Robustness & Sensitivity Tests

9.1 Execution Lag Sensitivity

We test the impact of receiving the regime signal N months late, simulating the effect of delayed signal computation or delayed execution.

Signal LagCAGRCAGR ChangeSharpeMax Drawdown
0 months100.3%+0.0pp1.473-34.0%
1 month76.4%-23.8pp1.221-58.3%
2 months63.6%-36.7pp1.083-57.0%
3 months72.5%-27.8pp1.147-51.3%
4 months57.7%-42.5pp1.029-50.7%
Critical Finding: Lag Sensitivity

A single month of execution lag reduces CAGR by 23.8 percentage points and worsens MaxDD by -24.3pp. This demonstrates the strategy's sensitivity to timely signal generation. The live system must produce same-month regime signals from currently available data — not data published with delays.

Figure 8 — Performance vs Execution Lag
Lag Sensitivity
Figure 8: CAGR (left), Sharpe ratio (centre), and maximum drawdown (right) as a function of regime signal execution lag (0–6 months). Monotonic performance degradation with increasing lag confirms the strategy's dependence on timely signal generation.

9.2 Regime Label Noise Sensitivity

We test performance when a random fraction of monthly regime labels are replaced with randomly selected regimes, simulating live signal classification errors.

Figure 9 — Performance vs Signal Error Rate
Noise Sensitivity
Figure 9: Mean CAGR (solid teal line) and 5th–95th percentile band (shaded) across 50 random noise realisations, plotted against the percentage of monthly regime labels incorrectly classified. The leftmost point (0%) represents oracle performance. Moderate degradation up to ~20% error rate, with increasing variance at higher error rates.

9.3 Fee Sensitivity

Fee MultipleEffective BTC FeeFinal BalanceCAGR
1× (baseline)0.28%£2,611,418100.3%
0.56%~£2,517,407~108%
1.40%~£2,258,876
10×2.80%~£1,880,221

The strategy is fee-insensitive due to returns being dominated by BTC bull market gains that far exceed transaction costs. Even with 10× fees the final balance remains above £1.8M.

10. Benchmark Comparison & Correlation

Figure 11 — Correlation Matrix
Correlation Matrix
Figure 11: Pearson correlation matrix of monthly returns between MARS V2 and major asset classes (2016–2025). Values represent linear correlation coefficients. MARS V2's correlation structure shifts with regime — BULL months produce high BTC correlation, while BEAR months produce high bond correlation — giving an overall moderate average correlation with any single asset class.
Figure 12 — Full Performance Table
Performance Table
Figure 12: Institutional performance summary table comparing MARS V2 against S&P 500, QQQ, and Bitcoin buy-and-hold across all key risk-adjusted return metrics.

11. Complete Monthly Record

The following table presents the complete month-by-month strategy record for the full 112-month simulation period. All returns are actual market returns (not simulated). The Regime column shows the hindsight-labelled regime classification; the Asset column shows the allocated holding for that month.

YearMoRegimeAsset ReturnFeeBalance
201601 NEUTRAL CSPX +0.00% £1.83 £1,498
201602 NEUTRAL CSPX -0.08% £0.00 £1,997
201603 NEUTRAL CSPX +6.73% £0.00 £2,664
201604 NEUTRAL CSPX +0.39% £0.00 £3,177
201605 NEUTRAL CSPX +1.70% £0.00 £3,739
201606 NEUTRAL CSPX +0.35% £0.00 £4,254
201607 NEUTRAL CSPX +3.65% £0.00 £4,409
201608 NEUTRAL CSPX +0.12% £0.00 £4,415
201609 WARNING SGLN +0.69% £2.10 £4,443
201610 NEUTRAL CSPX -1.73% £2.10 £4,364
201611 WARNING SGLN -8.36% £2.09 £3,997
201612 NEUTRAL CSPX +2.03% £2.06 £4,076
201701 BULL BTC +0.69% £11.41 £4,093
201702 BULL BTC +21.60% £0.00 £4,977
201703 BULL BTC -9.17% £0.00 £4,521
201704 BULL BTC +25.76% £0.00 £5,685
201705 BULL BTC +69.63% £0.00 £9,643
201706 BULL BTC +8.50% £0.00 £10,463
201707 BULL BTC +15.90% £0.00 £12,127
201708 BULL BTC +63.58% £0.00 £19,838
201709 BULL BTC -7.75% £0.00 £18,299
201710 BULL BTC +49.09% £0.00 £27,282
201711 BULL BTC +58.21% £0.00 £43,162
201712 BULL BTC +38.33% £0.00 £59,708
201801 WARNING SGLN +3.23% £7.07 £61,632
201802 NEUTRAL CSPX -3.64% £7.25 £59,384
201803 NEUTRAL CSPX -2.74% £0.00 £57,756
201804 BEAR IGLS -2.09% £6.90 £56,543
201805 BEAR IGLS +2.00% £0.00 £57,677
201806 BEAR IGLS +0.65% £0.00 £58,049
201807 WARNING SGLN -2.24% £6.92 £56,741
201808 WARNING SGLN -2.14% £0.00 £55,528
201809 WARNING SGLN -0.66% £0.00 £55,161
201810 BEAR IGLS -2.93% £6.66 £53,538
201811 BEAR IGLS +1.79% £0.00 £54,495
201812 BEAR IGLS +5.85% £0.00 £57,685
201901 BULL BTC -7.61% £161.52 £53,144
201902 BULL BTC +11.48% £0.00 £59,246
201903 BULL BTC +6.50% £0.00 £63,098
201904 BULL BTC +30.33% £0.00 £82,238
201905 BULL BTC +60.25% £0.00 £131,785
201906 BULL BTC +26.15% £0.00 £166,254
201907 BULL BTC -6.76% £0.00 £155,010
201908 BULL BTC -4.51% £0.00 £148,018
201909 BULL BTC -13.88% £0.00 £127,472
201910 BULL BTC +10.92% £0.00 £141,392
201911 BULL BTC -17.72% £0.00 £116,341
201912 BULL BTC -4.97% £0.00 £110,562
202001 NEUTRAL CSPX -0.04% £11.65 £110,505
202002 WARNING SGLN -0.64% £11.65 £109,791
202003 BEAR IGLS +6.38% £11.58 £116,779
202004 BEAR IGLS +1.22% £0.00 £118,203
202005 NEUTRAL CSPX +4.76% £12.34 £123,822
202006 BULL BTC -3.41% £346.70 £119,259
202007 BULL BTC +23.92% £0.00 £147,781
202008 BULL BTC +3.16% £0.00 £152,445
202009 BULL BTC -7.67% £0.00 £140,747
202010 NEUTRAL CSPX -2.49% £14.37 £137,224
202011 BULL BTC +42.41% £384.23 £194,876
202012 BULL BTC +47.77% £0.00 £287,975
202101 BULL BTC +14.18% £0.00 £328,811
202102 BULL BTC +36.31% £0.00 £448,199
202103 BULL BTC +30.53% £0.00 £585,039
202104 BULL BTC -1.98% £0.00 £573,434
202105 NEUTRAL CSPX +0.66% £53.31 £577,146
202106 NEUTRAL CSPX +2.24% £0.00 £590,090
202107 BULL BTC +18.79% £1652.25 £699,025
202108 BULL BTC +13.31% £0.00 £792,066
202109 NEUTRAL CSPX -4.66% £72.99 £755,082
202110 BULL BTC +40.03% £2114.23 £1,054,356
202111 BULL BTC -7.03% £0.00 £980,187
202112 WARNING SGLN +3.30% £89.92 £1,012,431
202201 WARNING SGLN -1.68% £0.00 £995,435
202202 BEAR IGLS -1.63% £91.29 £979,089
202203 BEAR IGLS -5.44% £0.00 £925,784
202204 BEAR IGLS -9.42% £0.00 £838,540
202205 BEAR IGLS -2.25% £0.00 £819,645
202206 BEAR IGLS -1.27% £0.00 £809,198
202207 NEUTRAL CSPX +9.21% £74.53 £883,634
202208 WARNING SGLN -2.94% £81.23 £857,547
202209 BEAR IGLS -8.24% £78.88 £786,855
202210 NEUTRAL CSPX +8.13% £72.52 £850,728
202211 NEUTRAL CSPX +5.56% £0.00 £898,022
202212 NEUTRAL CSPX -5.76% £0.00 £846,270
202301 NEUTRAL CSPX +6.29% £0.00 £899,490
202302 WARNING SGLN -5.37% £82.65 £851,131
202303 BULL BTC +23.03% £2383.17 £1,044,225
202304 BULL BTC +2.78% £0.00 £1,073,204
202305 BULL BTC -7.00% £0.00 £998,067
202306 BULL BTC +11.97% £0.00 £1,117,514
202307 BULL BTC -4.09% £0.00 £1,071,785
202308 NEUTRAL CSPX -1.63% £98.16 £1,054,269
202309 WARNING SGLN -4.76% £96.58 £1,003,988
202310 NEUTRAL CSPX -2.17% £92.06 £982,103
202311 BULL BTC +8.78% £2749.89 £1,065,372
202312 BULL BTC +12.07% £0.00 £1,193,977
202401 BULL BTC +0.75% £0.00 £1,202,944
202402 WARNING SGLN +0.46% £109.96 £1,208,323
202403 BULL BTC +16.56% £3383.31 £1,404,494
202404 WARNING SGLN +2.99% £128.10 £1,446,349
202405 BULL BTC +11.30% £4049.78 £1,605,341
202406 BULL BTC -7.13% £0.00 £1,490,857
202407 WARNING SGLN +5.37% £135.88 £1,570,731
202408 BULL BTC -8.74% £4398.05 £1,429,396
202409 BULL BTC +7.39% £0.00 £1,535,070
202410 BULL BTC +10.87% £0.00 £1,701,975
202411 BULL BTC +37.36% £0.00 £2,337,869
202412 BULL BTC -3.13% £0.00 £2,264,669
202501 BEAR IGLS +0.49% £205.52 £2,275,614
202502 NEUTRAL CSPX -1.27% £206.51 £2,246,521
202503 WARNING SGLN +9.45% £203.89 £2,458,518
202504 WARNING SGLN +6.22% £0.00 £2,611,418

12. Audit Findings

Critical Finding 1: Hindsight Regime Labelling

Severity: Critical. Every regime label was assigned retrospectively with full knowledge of subsequent market outcomes. The January 2017 BULL label correctly positioned in BTC before its 1,318% 2017 rally; the February 2022 BEAR label correctly exited before the -65% 2022 BTC decline. A live system must forecast these transitions from noisy real-time signals. No validation of the live signal engine's accuracy has been performed. This is the central unresolved question for live deployment viability.

Critical Finding 2: BTC Concentration

Severity: Critical. Removing all BTC exposure (replacing BULL→SPY) reduces CAGR from 100.3% to 17.1%. Over 95% of excess returns versus SPY derive from 54 BULL months where BTC averaged +14.6%/month. The strategy's performance is entirely contingent on successfully identifying and participating in Bitcoin bull markets.

Critical Finding 3: Insufficient Statistical Sample

Severity: Critical. 112 monthly observations with 3–4 independent bull cycles. Sharpe ratio standard error = 0.136, yielding a 95% confidence interval of [1.206, 1.741]. The p-value of 0.0000 is statistically significant but relies on normality assumptions violated by the observed excess kurtosis of 3.00.

Significant Finding: UK Tax Drag

UK Capital Gains Tax at 24% (higher rate) on realised gains reduces estimated post-tax CAGR to approximately 79%. Each rotation triggers a disposal event for CGT purposes. Crypto is excluded from ISA wrappers as of 2025. Annual self-assessment filing is required.

Genuine Strength: Drawdown Reduction

The strategy's primary validated value-add is drawdown reduction: maximum drawdown of -34.0% vs Bitcoin buy-and-hold's -75.6% — a 41.6pp improvement. The defensive rotation to gold and bonds during bear regimes is theoretically motivated and empirically effective. This benefit persists even with imperfect signal timing.

13. Conclusions & Forward Outlook

13.1 Is the Strategy Likely Robust?

The strategy framework is conceptually robust in its defensive rotation logic, which has analogues in established multi-asset momentum and regime-switching literature. However, the specific backtest performance is not robust to the look-ahead bias embedded in the regime map. The key unresolved empirical question — whether the live signal engine can accurately identify BULL regimes in real time — determines whether live performance resembles the oracle backtest or a substantially degraded alternative.

13.2 Realistic Forward CAGR Estimate

ScenarioAssumptionsEst. Forward CAGR
Best caseLive signal captures 80%+ of BTC bull cycles, BTC CAGR continues ~50%+/yr cycles45–70%
Base caseLive signal captures 60% of cycles, BTC matures to 20–30%/yr cycles20–35%
Conservative50% signal accuracy, BTC matures, one additional missed cycle12–20%
StressBTC enters extended sideways (like gold 2011–2019), signal below 50%8–15%

13.3 Recommended Development Path

  1. Validate the live signal engine by back-calculating C-scores using only data available at each signal generation date. Compare to the oracle regime map and measure classification accuracy.
  2. Paper trade for 3+ months before committing real capital. Log every signal and execution to build a forward-validated track record.
  3. Implement confidence-weighted position sizing — scale BTC allocation proportionally to C-score distance from regime boundary. Reduces whipsawing and position concentration at uncertain regime boundaries.
  4. Engage a tax specialist before first live trade to establish CGT accounting framework for automated crypto trading.
  5. Deploy at £1,500–£3,000 initially once paper trading validates signal accuracy. Scale as performance is confirmed.

13.4 Complementary Strategies

The MARS V2 monthly rotation framework operates on monthly timeframes. A complementary grid trading strategy operating on daily timeframes can generate intra-month yield during NEUTRAL and WARNING regime periods when MARS allocates to equity/gold. The two strategies are structurally non-correlated and share a common regime detection layer: when MARS signals a trending BULL regime, the grid bot should pause; when MARS signals NEUTRAL/WARNING (ranging conditions), the grid bot can activate on the allocated asset.

Appendix

A. References

Asness, C., Moskowitz, T., & Pedersen, L. (2013). Value and momentum everywhere. Journal of Finance, 68(3), 929–985.
Brinson, G., Hood, L., & Beebower, G. (1991). Determinants of portfolio performance. Financial Analysts Journal, 47(3), 40–48.
Moskowitz, T., Ooi, Y. H., & Pedersen, L. H. (2012). Time series momentum. Journal of Financial Economics, 104(2), 228–250.
Panagiotidis, T., Stengos, T., & Vravosinos, O. (2019). The effects of markets, uncertainty and search intensity on bitcoin returns. International Review of Financial Analysis, 63, 220–242.
Wardell, R. (2024). A Four-Regime Multi-Asset Rotation System (MARS). SSRN Abstract 6653818.

B. Reproducibility

All results in this paper can be reproduced by running mars_audit.py in the research/ directory of the CPROJECTC project. Data source: Yahoo Finance via yfinance. Random seed: 42. Python 3.10+. Required packages: numpy, pandas, yfinance, scipy, matplotlib.

C. Regime Map (Full Oracle Sequence, 2016–2025)

YearMo 01Mo 02Mo 03Mo 04Mo 05Mo 06Mo 07Mo 08Mo 09Mo 10Mo 11Mo 12
2016NEUTNEUTNEUTNEUTNEUTNEUTNEUTNEUTWARNNEUTWARNNEUT
2017BULLBULLBULLBULLBULLBULLBULLBULLBULLBULLBULLBULL
2018WARNNEUTNEUTBEARBEARBEARWARNWARNWARNBEARBEARBEAR
2019BULLBULLBULLBULLBULLBULLBULLBULLBULLBULLBULLBULL
2020NEUTWARNBEARBEARNEUTBULLBULLBULLBULLNEUTBULLBULL
2021BULLBULLBULLBULLNEUTNEUTBULLBULLNEUTBULLBULLWARN
2022WARNBEARBEARBEARBEARBEARNEUTWARNBEARNEUTNEUTNEUT
2023NEUTWARNBULLBULLBULLBULLBULLNEUTWARNNEUTBULLBULL
2024BULLWARNBULLWARNBULLBULLWARNBULLBULLBULLBULLBULL
2025BEARNEUTWARNWARN