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Choose MINLP Solvers for Portfolio Problems

The following table lists the type of Mixed Integer Nonlinear Programming (MINLP) solvers that you can select to find the solution to different portfolio problems using a Portfolio, PortfolioCVaR, or PortfolioMAD object. You can set the solvers using setSolverMINLP, where the first input argument, solverTypeMINLP, is one of the solvers listed in the table that follows.

  Available Solvers (Use setSolverMINLP to specify the solver)
Portfolio ProblemUse Function:Portfolio ObjectPortfolioCVaR ObjectPortfolioMAD Object
Estimate efficient frontierestimateFrontier(p)

(See estimateFrontier)

  • ExtendedCP

  • OuterApproximation (default)

    Supports extended formulation using the name-value argument ExtendedFormulation.

  • TrustRegionCP

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

Minimize risk without return constraintestimateFrontierLimits(p,'min')

(See estimateFrontierLimits)

  • ExtendedCP

  • OuterApproximation (default)

    Supports extended formulation using the name-value argument ExtendedFormulation.

  • TrustRegionCP

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

Maximize return without risk constraint or tracking error constraintestimateFrontierLimits(p,'max')

(See estimateFrontierLimits)

intlinprog

Use IntMainSolverOptions name-value argument to control intlinprog options.

intlinprog

Use IntMainSolverOptions name-value argument to control intlinprog options.

intlinprog

Use IntMainSolverOptions name-value argument to control intlinprog options.

Maximize return with risk constraint and/or tracking error constraintestimateFrontierLimits(p,'max')

(See estimateFrontierLimits)

  • ExtendedCP

  • OuterApproximation (default)

    Supports extended formulation using the name-value argument ExtendedFormulation.

  • TrustRegionCP

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

Minimize risk subject to a return constraintestimateFrontierByReturn(p,returnTarget)

(See estimateFrontierByReturn)

  • ExtendedCP

  • OuterApproximation (default)

    Supports extended formulation using the name-value argument ExtendedFormulation.

  • TrustRegionCP

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

Maximize return subject to a risk constraintestimateFrontierByRisk(p,riskTarget)

(See estimateFrontierByRisk)

  • ExtendedCP

  • OuterApproximation (default)

    Supports extended formulation using the name-value argument ExtendedFormulation.

  • TrustRegionCP

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

Maximize Sharpe ratioestimateMaxSharpeRatio(p)

(See estimateMaxSharpeRatio)

  • ExtendedCP

  • OuterApproximation (default)

    Supports extended formulation using the name-value argument ExtendedFormulation.

  • TrustRegionCP

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

  • ExtendedCP

  • OuterApproximation

  • TrustRegionCP (default)

Optimize custom linear objective without risk or tracking error constraintestimateCustomObjectivePortfolio(p,linFun)

(See estimateCustomObjectivePortfolio)

intlinprog

Use IntMainSolverOptions name-value argument to control intlinprog options.

Not supportedNot supported
Optimize custom linear objective with risk or/or tracking error constraintestimateCustomObjectivePortfolio(p,linFun)

(See estimateCustomObjectivePortfolio)

  • ExtendedCP

  • OuterApproximation (default)

    Supports extended formulation using the name-value argument ExtendedFormulation.

  • TrustRegionCP

Not supportedNot supported
Optimize custom quadratic objectiveestimateCustomObjectivePortfolio(p,quadFun)

(See estimateCustomObjectivePortfolio)

  • ExtendedCP

  • OuterApproximation (default)

    Supports extended formulation using the name-value argument ExtendedFormulation.

  • TrustRegionCP

Not supportedNot supported
Optimize custom nonlinear nonquadratic objectiveestimateCustomObjectivePortfolio(p,NLFun)

(See estimateCustomObjectivePortfolio)

  • ExtendedCP

  • OuterApproximation (default)

  • TrustRegionCP

Not supportedNot supported

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