portfolio_2024_2025_no_syntax

portfolio_construction.md

Portfolio Construction Memo: Without Syntax (6 Strategies)

Analysis Period: 2024-01-01 to 2025-10-20 (487 trading days) Report Date: 2026-01-14 Universe: highwater, mt2x, persistent, tellurian, quantstrat, velox


1. Executive Summary

Recommendation: MinVar Portfolio

For the 6-strategy universe excluding syntax, the MinVar optimization delivers the highest Sharpe ratio (8.80) with the lowest volatility profile. This portfolio offers superior risk-adjusted returns and the most defensive posture among all optimization methods.

Key Performance Metrics

MetricMinVarCVaRMaxSharpeRiskParityEqualWeight
Expected Return18.25%17.90%22.71%21.30%28.07%
Volatility1.62%1.63%2.20%2.42%6.02%
Sharpe Ratio8.808.538.527.144.00
CVaR (95%)-0.07%-0.06%-0.13%-0.17%-0.49%
Max Drawdown-0.23%-0.27%-0.42%-0.61%-1.58%

Source: portfolio_performance.csv

Rationale for MinVar Selection:

  1. Highest Sharpe Ratio (8.80): Outperforms MaxSharpe (8.52) and all other methods in the reduced universe
  2. Lowest Volatility (1.62%): Provides the most stable return profile
  3. Superior Drawdown Protection: Max drawdown of -0.23% is best-in-class
  4. Excellent Tail Risk: CVaR of -0.07% demonstrates strong left-tail management

Note on Universe Change: Removing syntax from the universe shifts the optimal allocation toward MinVar. Without syntax's diversification contribution (low correlations with most strategies), the optimizer favors lower-volatility constructions to maintain risk-adjusted performance.


2. Correlation Analysis

Strategy Correlation Matrix

highwatermt2xpersistenttellurianquantstratvelox
highwater1.000.27-0.090.060.030.11
mt2x0.271.00-0.040.260.030.03
persistent-0.09-0.041.000.040.130.06
tellurian0.060.260.041.00-0.220.04
quantstrat0.030.030.13-0.221.00-0.04
velox0.110.030.060.04-0.041.00

Source: portfolio_correlation.csv

Diversification Assessment

Correlation Characteristics:

  • Average Pairwise Correlation: 0.04 (excellent diversification)
  • Highest Correlation: highwater/mt2x (0.27) and mt2x/tellurian (0.26) - moderate, manageable
  • Key Negative Correlations:
    • tellurian/quantstrat: -0.22 (strongest hedge relationship)
    • highwater/persistent: -0.09

Diversification Impact of Removing Syntax:

  1. Lost Diversification: Syntax provided negative correlations with highwater (-0.04), mt2x (-0.03), tellurian (-0.04), and velox (-0.01)
  2. Reduced Hedging: The portfolio loses the persistent/syntax (0.30) correlation pair, which represented a distinct return driver
  3. Compensation Required: Optimizer shifts weight toward quantstrat and velox to maintain diversification benefits

Remaining Diversification Benefits:

  • Low inter-strategy correlation persists across the 6-strategy universe
  • Natural hedge between tellurian and quantstrat (-0.22) remains intact
  • No dominant correlation clusters create systemic risk

3. Optimization Results

Performance Comparison Across Objectives

PortfolioReturnVolatilitySharpeCVaR (95%)Max DDRank
MinVar18.25%1.62%8.80-0.07%-0.23%1
CVaR17.90%1.63%8.53-0.06%-0.27%2
MaxSharpe22.71%2.20%8.52-0.13%-0.42%3
RiskParity21.30%2.42%7.14-0.17%-0.61%4
EqualWeight28.07%6.02%4.00-0.49%-1.58%5

Source: portfolio_performance.csv

Weight Allocations by Optimization Method

StrategyMinVarCVaRMaxSharpeRiskParityEqualWeight
highwater1.73%0.00%6.47%7.08%16.67%
mt2x4.10%0.29%4.41%8.88%16.67%
persistent20.97%24.84%38.37%22.53%16.67%
tellurian0.86%0.87%2.02%4.08%16.67%
quantstrat33.22%35.20%15.59%28.47%16.67%
velox39.13%38.80%33.14%28.95%16.67%
Total100.00%100.00%100.00%100.00%100.00%

Source: portfolio_weights.csv

Key Observations:

  1. Velox Dominance: All optimizations favor velox (29-39%), now at/near the 40% constraint
  2. Quantstrat Increased: Without syntax, quantstrat receives higher allocation (28-35% in defensive portfolios)
  3. Persistent Remains Core: Maintains significant allocation (21-38%) across all methods
  4. Tellurian/Highwater Minimal: Consistently underweighted (<5%) due to lower risk-adjusted performance

4. Risk Contribution Analysis

Estimated Risk Contribution (Weight-Based Proxy)

Using portfolio weights as a proxy for marginal risk contribution:

StrategyMinVar WeightRisk Contribution Estimate
velox39.13%High (primary contributor)
quantstrat33.22%High (primary contributor)
persistent20.97%Moderate
mt2x4.10%Low
highwater1.73%Minimal
tellurian0.86%Minimal

Source: Derived from portfolio_weights.csv

Concentration Assessment

Concentration Metrics:

  • Top 2 Holdings: 72.4% (velox + quantstrat)
  • Top 3 Holdings: 93.3% (adding persistent)
  • Herfindahl-Hirschman Index (HHI): 0.30 (elevated concentration)

Assessment:

  • Portfolio exhibits higher concentration than the 7-strategy variant
  • Concentration is driven by removing syntax's diversification benefits
  • Top-3 concentration of 93.3% approaches the 85% soft warning level
  • velox at 39.13% is near the 40% hard cap - requires monitoring
  • The remaining 6.7% in three strategies provides limited diversification buffer

Risk Implication: Higher concentration increases sensitivity to individual strategy performance. The negative correlation between quantstrat/velox (-0.04) and quantstrat/tellurian (-0.22) partially offsets this concern.


5. Implementation Considerations

Rebalancing Framework

Recommended Approach: Calendar-based with threshold triggers (tighter than 7-strategy portfolio)

ParameterSpecification
Base FrequencyMonthly
Drift Threshold+/- 3% from target (tighter due to concentration)
Hard RebalanceQuarterly
Minimum Trade Size1% of portfolio
velox Cap MonitorWeekly (near 40% limit)

Rebalancing Rationale:

  • Tighter 3% drift threshold reflects higher concentration risk
  • velox position requires closer monitoring given proximity to 40% cap
  • More frequent rebalancing may be needed to prevent constraint breaches

Transaction Cost Considerations

Cost ComponentEstimateImpact
Execution Slippage5-10 bpsLow (liquid strategies)
Bid-Ask Spread2-5 bpsMinimal
Management FeesStrategy-dependentEmbedded in returns
Rebalancing Drag~15-25 bps/yearSlightly higher due to concentration

Cost Impact of Concentration:

  • Higher turnover expected in velox/quantstrat due to constraint management
  • Estimate 20-30% higher transaction costs versus 7-strategy portfolio

Position Sizing Guidance

Kelly-Adjusted Sizing:

  • Full Kelly allocation not recommended due to concentration risk
  • Recommended: 0.20-0.40x Kelly for initial deployment (more conservative than 7-strategy)
  • Scale-up contingent on live performance verification

AUM Capacity Considerations:

  • Reduced universe concentrates AUM in fewer strategies
  • Monitor capacity constraints more carefully
  • velox and quantstrat must support ~70%+ of portfolio AUM
  • Consider capacity-adjusted optimization if scaling above $30M total

6. Governance & Limits

Position Limits

Limit TypeThresholdActionStatus
Single Strategy Maximum40.0%Hard cap, rebalance requiredvelox at 39.1% - WATCH
Single Strategy Minimum0.0%Permitted (full exit allowed)OK
Top-3 Concentration85.0%Soft warning, review required93.3% - EXCEEDED
Cash/Buffer0-5%Tactical flexibilityOK

Concentration Warning: Top-3 concentration (93.3%) exceeds the 85% soft warning threshold. Investment Committee should acknowledge and approve this elevated concentration, or consider alternative objectives (e.g., constrained MaxSharpe with concentration limits).

Drawdown Triggers & Response Protocol

Drawdown LevelClassificationRequired Action
-0.75%WatchEnhanced monitoring, daily review
-1.5%WarningReduce position sizes by 25%
-2.5%AlertReduce to 50% exposure, IC review
-4.0%CriticalExit to 25% exposure, full IC meeting

Note: Drawdown thresholds are tighter than 7-strategy portfolio due to:

  • Higher concentration increases potential for rapid drawdown
  • Less diversification buffer to absorb strategy-specific losses

Historical Context:

  • MinVar max drawdown: -0.23% (well within tolerances)
  • All optimizations stayed below -1.6% drawdown
  • Tighter thresholds provide earlier warning given concentration

Risk Metric Monitoring

MetricTargetWarning LevelCritical Level
Portfolio Volatility<2.5%>3.5%>4.5%
Sharpe Ratio (rolling 60d)>5.0<3.0<1.5
CVaR (95%)>-0.10%<-0.20%<-0.40%
velox Weight<40%>38%>40%
Top-3 Concentration<85%>90%>95%

7. Recommendation

Final Recommended Weights (MinVar Portfolio)

StrategyTarget WeightAcceptable Range
velox39.13%35-40% (hard cap)
quantstrat33.22%28-38%
persistent20.97%16-26%
mt2x4.10%2-8%
highwater1.73%0-5%
tellurian0.86%0-4%
Total100.00%

Source: portfolio_weights.csv (MinVar row)

Conditions for Implementation

  1. Concentration Acknowledgment: IC must formally approve the 93.3% top-3 concentration
  2. Capacity Verification: Confirm velox and quantstrat can absorb ~70% portfolio AUM
  3. Enhanced Monitoring: Establish daily velox position monitoring (near 40% cap)
  4. Operational Readiness: Ensure execution infrastructure supports concentrated allocation
  5. Governance Approval: IC sign-off on tighter risk limits

Key Risks & Mitigants

RiskProbabilityImpactMitigant
velox Concentration RiskHighHigh40% hard cap; weekly monitoring; contingency rebalance plan
Top-3 Concentration BreachMediumMediumMonthly concentration review; diversification reserve
Capacity ConstraintsMediumHighCapacity tracking; AUM limits per strategy
Correlation Regime ChangeMediumHighMonthly correlation monitoring; reduced buffer requires faster response
Drawdown AccelerationMediumHighTighter triggers; faster escalation protocol
Parameter Estimation ErrorMediumMediumConservative Kelly sizing (0.2-0.4x)

Comparison with 7-Strategy Portfolio (With Syntax)

MetricWith Syntax (MaxSharpe)Without Syntax (MinVar)Delta
Sharpe Ratio8.648.80+0.16
Volatility2.06%1.62%-0.44%
Max Drawdown-0.36%-0.23%+0.13%
Top-3 Concentration80.6%93.3%+12.7%
HHI (Concentration)0.240.30+0.06

Trade-off Analysis:

  • Without syntax, portfolio achieves slightly higher Sharpe and lower volatility
  • However, concentration risk increases significantly (+12.7% in top-3)
  • Diversification benefits of syntax (low correlations) are lost
  • Recommend maintaining syntax in universe if capacity permits

Approval & Review Schedule

ItemFrequencyOwner
Performance ReviewMonthlyPortfolio Manager
Concentration ReviewWeeklyRisk Committee
Risk Limit ReviewQuarterlyRisk Committee
Full ReoptimizationSemi-AnnualInvestment Committee
Strategy Due DiligenceAnnualResearch Team

Document Prepared By: Allocator Analysis System Parameters Used:

  • Risk-Free Rate: 4.00%
  • Max Weight Constraint: 40.0%
  • CVaR Alpha: 5.0%
  • Optimization Window: 2024-01-01 to 2025-10-20 (487 trading days)

Data Sources:

  • portfolio_performance.csv
  • portfolio_weights.csv
  • portfolio_correlation.csv

Special Notes:

  • This analysis excludes the syntax strategy from the investment universe
  • Higher concentration levels require enhanced governance oversight
  • Consider re-including syntax if diversification is prioritized over marginal Sharpe improvement