Bivar Capital — Quantitative Research

Combined PortfolioUSA + Canada + Germany momentum

The three live momentum sleeves — USA (top-7 large caps), Canada (top-10 TSX) and Germany (run at N=10, the top-10 of the published ranking) — combined at 1/3 each, monthly. Common window 2006-03-31 — 2026-04-30 (242 meses) (limited by the USA series start). Each sleeve's own caveats (survivorship windows, capacity, in-sample selection) carry through; see the per-strategy audits.

I. The Case for Combining

SleeveSharpeSortinoCAGRMaxDD
US0.921.94+25.6%-30.3%
CA1.273.32+34.3%-24.5%
DE0.761.45+18.4%-39.1%
COMBINED 1/3 each1.523.67+27.5%-16.6%

The combined portfolio's Sharpe (1.52) exceeds every individual sleeve's, and its MaxDD (−16.6%) is barely half the best individual sleeve's. That is the diversification premium of three strategies with 0.19–0.25 correlations and regimes that de-risk independently.

Combined portfolio equity curve vs sleeves

II. Correlations

DECAUS
DE1.000.190.244
CA0.191.000.247
US0.2440.2471.00

Full-series monthly correlations. Two structural sources: different stock selection (measured 0.23–0.45 when both sleeves are invested) plus regime divergence — roughly a quarter of all months have one sleeve in cash while another is invested, and the invested sleeve earns above its average in those months. Caveat: rolling 36-month correlations are unstable — DE-CA has ranged -0.14 to 0.57, DE-US -0.13 to 0.62, CA-US -0.21 to 0.64. Do not budget on the averages holding in every triennium.

Pairwise combos (what each sleeve adds)

Pair (50/50)SharpeSortinoCAGRMaxDD
DE+CA1.43.39+27.3%-25.4%
DE+US1.132.34+23.0%-21.7%
CA+US1.453.52+31.2%-16.3%

III. Monthly Return Distribution

Mean +2.15%/month, standard deviation 4.66% (annualized ~25.8% / 16.1% vol). 62% of months positive, skew +0.78 — the fat tail is on the upside. Worst month in 242 meses: -7.52%; best: +20.75%.

IV. Worst Months — How It Fails

MonthComboDECAUS
2018-10-31-7.5%-0.0%-0.0%-22.5%
2026-03-31-7.1%3.5%-15.6%-9.1%
2020-02-29-6.7%-3.8%-10.7%-5.7%
2006-05-31-6.5%-7.9%-7.4%-4.3%
2019-09-30-6.5%2.0%-9.0%-12.5%
2007-11-30-6.5%-10.5%-4.9%-4.0%
2014-07-31-6.1%-13.4%-2.6%-2.2%
2008-01-31-5.7%-16.9%-0.2%0.0%
2015-08-31-5.5%-9.4%-0.2%-7.0%
2011-08-31-5.3%-8.1%-0.1%-7.7%

The failure mode is always one sleeve blowing up while the others cushion (US −22.5% in Oct-2018 → combo −7.5%; CA −15.6% in Mar-2026 → combo −7.1%). In 242 months the three sleeves never all fell hard together — the common regime mechanism pulls them all to cash in genuine crises instead.

Best Months — How It Wins

MonthComboDECAUS
2021-02-28+20.7%+23.8%+39.9%-1.4%
2024-02-29+18.8%+11.8%+8.5%+36.1%
2025-09-30+16.3%+11.0%+14.5%+23.3%
2017-01-31+15.1%+11.7%+27.1%+6.5%
2026-04-30+14.5%-0.2%+5.9%+37.8%
2018-08-31+13.1%-1.4%+23.4%+17.4%
2024-01-31+12.7%+4.1%+18.0%+16.1%
2020-12-31+12.5%+13.4%+15.0%+9.1%
2026-01-31+11.8%+3.0%+10.1%+22.1%
2020-06-30+10.7%-0.1%+21.4%+10.7%

V. Drawdown Profile

MaxDD -16.6%. Time spent in >5% drawdown: 28% of months (normal operation, not a malfunction); in >10%: 9%. All drawdown episodes deeper than 8%:

StartTroughDepth
2006-06-302006-09-30-13.0%
2008-01-312009-04-30-16.6%
2010-06-302010-06-30-9.4%
2011-08-312011-12-31-9.5%
2018-12-312019-01-31-10.5%
2021-09-302021-09-30-8.3%
2023-05-312023-10-31-13.1%

VI. Weight Sensitivity

WeightsSharpeSortinoCAGRMaxDD
1/3 cada (baseline)1.523.67+27.5%-16.6%
DE25/CA40/US351.543.82+28.7%-16.0%
DE20/CA50/US301.553.94+29.9%-17.1%
DE50/CA25/US251.423.25+25.5%-19.3%
DE25/CA25/US501.423.34+27.3%-15.4%
sem DE (50/50 CA+US)1.453.52+31.2%-16.3%

Equal weight is within 0.03 Sharpe of every sensible tilt — the diversification does the work, not the weights. Dropping Germany entirely costs 0.07 Sharpe and ~1.6pp of MaxDD; overweighting any single sleeve to 50% costs ~0.10. There is nothing to optimize here.

VII. Calendar Years

YearComboUSCADE
2006+17.3%-3.7%+41.1%+13.9%
2007+36.8%+79.4%+40.6%-1.3%
2008-10.2%+0.0%-13.0%-18.2%
2009+25.3%+9.8%+30.2%+34.3%
2010+34.6%+12.3%+54.2%+37.0%
2011-5.4%-3.4%+3.6%-16.8%
2012+29.9%+21.1%+30.7%+36.8%
2013+73.1%+64.1%+84.4%+68.0%
2014+16.5%+27.9%+17.6%+2.3%
2015+26.9%+23.3%+11.5%+46.9%
2016+30.4%+18.4%+78.2%+2.1%
2017+64.3%+37.2%+79.2%+69.7%
2018+9.0%-10.0%+25.2%+8.2%
2019+21.7%+3.7%+16.1%+47.1%
2020+47.5%+71.8%+50.6%+18.7%
2021+23.3%+20.4%+29.5%+12.6%
2022+6.9%+0.2%+25.8%-7.9%
2023-5.6%+4.0%-5.9%-16.2%
2024+72.5%+116.2%+63.0%+37.8%
2025+49.6%+14.8%+82.7%+48.4%
2026+31.3%+88.7%+5.4%+7.3%

Mean year +28.4%; 3 negative years in 21 (worst: -10.2% in 2008); best +73.1% (2013).

VIII. Rolling 3-Year Performance

Combined portfolio rolling 3-year CAGR

Mean rolling 3-year CAGR +25.9%, range +7.6% to +50.2%, negative in 0.0% of all 3-year windows.

IX. Honest Forward Expectations

Backtest numbers are in-sample compositions of in-sample strategies. Applying the standard live haircut (expected live Sharpe ≈ 0.6–0.75× backtest): expect roughly 15–20%/year at Sharpe ~1.0–1.2, and budget for a real MaxDD around −20 to −25% rather than the backtest's −16.6%. Judge the portfolio against a month-by-month simulated track, over 3+ year horizons — any single year between −10% and +40% is within script.

XI. Germany Sleeve: N=10 vs N=20

VariantSharpeCAGRAnn. volMaxDD
Germany sleeve N=10 (standalone)0.76+18.4%20.2%-39.1%
Germany sleeve N=20 (standalone)0.88+17.4%16.3%-27.8%
Combo with DE N=10 (operational choice)1.52+27.5%16.1%-16.6%
Combo with DE N=201.54+27.0%15.5%-15.2%

Standalone, N=10 is clearly worse for the German sleeve (MaxDD −39% vs −28%). At the combo level the difference nearly vanishes — 0.02 of Sharpe and 1.4pp of MaxDD — because the extra idiosyncratic risk diversifies away (N=10's correlations to the other sleeves are even slightly lower). N=10 is the operational choice: buy the top-10 of the published top-20 at 10% each.

Distribution detail (combo)

DE N=10DE N=20
Mean monthly return+2.15%+2.11%
Monthly standard deviation4.66%4.48%
Annualized volatility16.1%15.5%
Worst month-7.5%-8.2%
Best month+20.7%+18.4%
Months positive62%62%

XII. Monthly Returns Over Time

Combined portfolio monthly returns with sigma bands

Every monthly return of the combo (DE N=10 variant), with ±1σ (dashed) and ±2σ (dotted) bands around the mean. Full month-by-month table:

YearJanFebMarAprMayJunJulAugSepOctNovDecYear
2006+7.0+3.8-6.5-3.7-0.2+1.6-4.7+8.6+1.5+10.2+17.3
2007+2.6+0.3+2.3+6.1+7.7+2.7+1.9+0.6+3.5+9.1-6.5+2.4+36.8
2008-5.7-0.1-0.5+0.2+0.9-1.2-3.8-0.1+-0.0-0.1-0.1-0.1-10.2
2009-0.1-0.1-0.1-2.8+5.6+0.9+3.6+1.8+6.8+0.4+7.4-0.2+25.3
2010-1.9+5.6+9.7+4.8-5.2-4.4+4.2+1.1+2.8+6.1+5.7+2.5+34.6
2011-1.4+5.9-0.9+0.2-0.9-1.8+-0.0-5.3-0.1-0.1+-0.0-0.8-5.4
2012+3.2+6.6+3.0+1.2-3.5+0.4+3.0+1.7+3.0+1.2+4.5+2.5+29.9
2013+7.2+4.3+6.5+0.5+2.6-2.0+8.4+2.9+9.6+10.1+4.4+2.4+73.1
2014+2.2+6.0+3.5-1.6+6.5-0.2-6.1+2.0+1.6-1.1+2.3+1.0+16.5
2015+4.7+9.1+6.4-1.7+6.7-0.3+3.4-5.5-0.1-0.1+1.1+1.1+26.9
2016-0.1+-0.0+1.2+4.0+1.9+7.7+5.6-1.0+4.0-3.8+3.1+4.8+30.4
2017+15.1+1.2+3.4+1.4+9.0-0.6+0.8-1.0+6.3+4.0+3.6+8.7+64.3
2018+0.9+3.6-2.0+0.3+4.2+5.1-4.9+13.1+0.6-7.5-0.1-3.1+9.0
2019-0.1+1.7+4.8-0.9+1.8+3.0+0.9+1.4-6.5+4.1+3.3+6.9+21.7
2020+0.8-6.7-0.1-0.1-0.1+10.7+7.2+9.4+5.6-2.3+4.6+12.5+47.5
2021+10.6+20.7+0.1-2.9+1.5-0.9-3.7-0.8-1.6+5.3-3.8-0.8+23.3
2022+2.5+5.1-0.1+1.3+0.0+-0.0-0.1-0.1-0.1-0.1+0.9-2.5+6.9
2023+0.1-5.2+1.7-2.2-4.0+4.0+5.0-5.1-1.7-3.3+3.6+2.2-5.6
2024+12.7+18.8+7.2+1.2+9.3-1.5-3.5+1.5+6.7+2.9+7.5-4.7+72.5
2025+7.8-1.3+0.7+3.4+2.8-1.0+9.9+2.8+16.3+1.1-4.5+4.6+49.6
2026+11.8+10.4-7.1+14.5+31.3

X. Limitations

  1. Common window starts 2006 (USA series); Canada/Germany sleeve numbers over this window differ slightly from their full-sample (2000+) headline figures.
  2. Each sleeve's own caveats compound here: Canada/Germany pre-2015-ish survivorship, capacity limits (CA/DE sub-$2M sleeves), multi-market selection bias.
  3. Correlations are regime-dependent — the 0.2 averages have ranged to 0.65 in 3-year stretches.
  4. Germany sleeve here is N=10 (top-10 of the published top-20, 10% each) — the operational choice; N=20 gives a near-identical combo (Sharpe 1.54, MaxDD −15.2%).