Systems and methods for initial sampling in multi-objective portfolio analysis
First Claim
1. A method for multi-objective portfolio optimization for use in investment decisions based on competing objectives and a plurality of constraints constituting a portfolio problem, the method comprising:
- generating an initial population of solutions of portfolio allocations in a computing device to substantially cover a portfolio configuration space having a plurality of dimensions defined by the competing objectives and the plurality of constraints;
performing a first multi-objective process based on the initial population and the competing objectives to generate a first interim efficient frontier in a portfolio performance space having at least three dimensions;
performing a second multi-objective process based on the initial population and the competing objectives to generate a second interim efficient frontier in the portfolio performance space; and
fusing the first interim efficient frontier with the second interim efficient frontier to create a fused efficient frontier for use in investment decisions.
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Abstract
The systems and methods of the invention are directed to portfolio optimization and related techniques. For example, the invention provides a method for multi-objective portfolio optimization for use in investment decisions based on competing objectives and a plurality of constraints constituting a portfolio problem, the method comprising: generating an initial population of solutions of portfolio allocations, the generating the initial population of solutions of portfolio allocations including systematically generating the initial population of solutions to substantially cover the space defined by the competing objectives and the plurality of constraints; and generating an efficient frontier in the space based on the initial population, the efficient frontier for use in investment decisioning.
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Citations
18 Claims
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1. A method for multi-objective portfolio optimization for use in investment decisions based on competing objectives and a plurality of constraints constituting a portfolio problem, the method comprising:
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generating an initial population of solutions of portfolio allocations in a computing device to substantially cover a portfolio configuration space having a plurality of dimensions defined by the competing objectives and the plurality of constraints; performing a first multi-objective process based on the initial population and the competing objectives to generate a first interim efficient frontier in a portfolio performance space having at least three dimensions; performing a second multi-objective process based on the initial population and the competing objectives to generate a second interim efficient frontier in the portfolio performance space; and fusing the first interim efficient frontier with the second interim efficient frontier to create a fused efficient frontier for use in investment decisions. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14)
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15. A system for multi-objective portfolio optimization for use in investment decisions based on competing objectives and a plurality of constraints constituting a portfolio problem, the system comprising:
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a computing device; a population generation portion, executed by the computing device, for generating an initial population of solutions of portfolio allocations, the population generation portion systematically generating the initial population of solutions to substantially cover a portfolio configuration space having a plurality of dimensions defined by the competing objectives, the population generation portion including a range value generation portion for varying values of the competing objectives over a range of each competing objective, and a linear program portion, for solving a linear program, for each of the linear constraints, multiple times by setting a weight vector equal to one of the linear constraints and a randomly generated vector; an efficient frontier portion, executed by the computing device, and including a first processing portion for performing a first multi-objective process based on the initial population and the competing objectives to generate a first interim efficient frontier in the portfolio performance space having at least three dimensions, and a second processing portion for performing a second multi-objective process based on the initial population and the competing objectives to generate a second interim efficient frontier in the portfolio performance space; and a fusion portion, executed by the computing device, for fusing the first interim efficient frontier with the second interim efficient frontier to create a fused efficient frontier for use in investment decisions. - View Dependent Claims (16, 17)
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18. A non-transitory computer readable medium for multi-objective portfolio optimization for use in investment decisions based on competing objectives and a plurality of constraints constituting a portfolio problem, the computer readable medium comprising:
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a population generation portion for generating an initial population of solutions of portfolio allocations in a computing device to substantially cover a portfolio configuration space having a plurality of dimensions defined by the competing objectives and the plurality of constraints; an efficient frontier portion for performing a first multi-objective process based on the initial population and the competing objectives to generate a first interim efficient frontier in a portfolio performance space having at least three dimensions, and for performing a second multi-objective process based on the initial population and the competing objectives to generate a second interim efficient frontier in the portfolio performance space; and a fusion portion for fusing the first interim efficient frontier with the second interim efficient frontier to create a fused efficient frontier for use in investment decisions.
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Specification