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The portfolio optimization functions assist portfolio managers in constructing portfolios that optimize risk and return.

Efficient Frontier Computation | Description |
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Computes portfolios along the efficient frontier for a given group of assets. The computation is based on sets of constraints representing the maximum and minimum weights for each asset, and the maximum and minimum total weight for specified groups of assets. | |

Computes portfolios along the efficient frontier for a given group of assets. Generates a surface of efficient frontiers showing how asset allocation influences risk and return over time. | |

Computes portfolios along the efficient frontier for a given group of assets. The computation is based on a set of user-specified linear constraints. Typically, these constraints are generated using the constraint specification functions described below. |

Constraint Specification | Description |
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Generates the portfolio constraints matrix for a portfolio
of asset investments using linear inequalities. The inequalities are
of the type | |

Portfolio value at risk (VaR) returns the maximum potential
loss in the value of a portfolio over one period of time, given the
loss probability level | |

Asset minimum and maximum allocation. Generates a constraint set to fix the minimum and maximum weight for each individual asset. | |

Group-to-group ratio constraint. Generates a constraint set specifying the maximum and minimum ratios between pairs of groups. | |

Asset group minimum and maximum allocation. Generates a constraint set to fix the minimum and maximum total weight for each defined group of assets. | |

Total portfolio value. Generates a constraint set to fix the total value of the portfolio. |

Constraint Conversion | Description |
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Transforms a constraint matrix expressed in absolute weight format to an equivalent matrix expressed in active weight format. | |

Transforms a constraint matrix expressed in active weight format to an equivalent matrix expressed in absolute weight format. |

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