Introduction | Solver Overview | Convex Solvers | CVXR | ROI | osqp | Rglpk | Metaheuristic Solvers | Multi-Objective | Solver Summary | Objective & Constraint Support Matrix | Objective Support | Constraint Support | Worked Examples | Data Setup | Minimum Variance | DEoptim | GenSA | pso | Comparison | Minimum ES / CVaR | Minimum CSM | Maximum Return | Maximum Sharpe Ratio | Maximum STARR (Mean / ES) | Maximum Quadratic Utility | Risk Budgets | Equal ES Risk Contribution | ERC Comparison | Bounded Risk Contribution | Bounded Risk Budget Comparison | Weight Concentration (HHI) | Factor Exposure Constraints | Setup | Rglpk (maxReturn) | Factor Exposure with Different Objectives | Factor Models for Moment Estimation | Performance Benchmarks | Minimum ES | Solver Selection Guide | Decision Framework | Scalability | Gaps & Normalization Notes | Ratio Flag Defaults | EQS Ratio Constraints | CSM in Metaheuristic Solvers | Constraint Coverage Gaps | Factor Exposure Gaps | Appendix | Constraint Type Reference | Session Info

Introduction | Set Up PerformanceAnalytics | Review Performance | Summary

Visualization | Methods | Summary | Appendix: Set Up PerformanceAnalytics

Contents

Contents

Contents

Overview | Example | Potential Solutions

Contents

Contents

1 Introduction | 2 Getting Started | 3 Maximizing Mean Return | 4 Minimizing Variance | 5 Maximizing Quadratic Utility | 6 Minimizing Expected Shortfall | 7 Minimizing Portfolio Coherent Second Moment | 8 Maximizing Mean Return Per Unit Risk | 9 Backtest Performance of MCSM, MES and MV Portfolios | 10 Multiple Efficient Frontiers of Equal Risk Type Portfolios | 11 Multiple Efficient Frontiers With Different Risk Types | 12 General Multiple Efficient Frontiers | Acknowledgements | Reference

Introduction | Compute Classic GmvLO Portfolio Weights | Robust GmvLO Portfolios | Robust GmvLO Portfolio Backtests | Writing Your Own Custom Covariance Matrix Function | Acknowledgements | References

Contents

1 Introduction | 2 Packages Involved in the Computation of Standard Errors | 3 How to Compute Standard Errors in PerformanceAnalytics