System and method for providing reallocation and reverse optimization of a financial portfolio using a parametric leptokurtic distribution
First Claim
1. A computer-implemented system for providing reallocation and reverse optimization of a financial portfolio using a parametric leptokurtic distribution, comprising:
- a memory containing a database configured to store a time series comprising a plurality of risk factors applicable over at least one time horizon, a portfolio comprising a plurality of financial assets, a quantile, and one or more risk adjusted return points for the financial assets;
an input device to receive input from a user;
a network operatively coupled and providing communication between the memory, the input device, an output device, and a processor;
where the processor is programmed to execute program modules, the program modules comprising;
an association module configured to associate the financial assets with the risk factors;
a risk determining module configured to generate a subordinated parametric distribution model exhibiting leptokurtic behavior;
an expected tail loss determining module configured to express a function of expected tail loss for the quantile based on the parametric distribution model exhibiting leptokurtic behavior, wherein the expected tail loss, ETL(x,ε
), is defined in accordance with the equation;
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Abstract
A system and method for providing reallocation and reverse optimization of a financial portfolio using a parametric leptokurtic distribution are provided. A time series including risk factors applicable over at least one time horizon, a portfolio including financial assets, a quantile, and one or more risk adjusted return points for the financial assets is stored. The financial assets are associated with the risk factors. A subordinated parametric distribution model exhibiting leptokurtic behavior is generated. A function of expected tail loss for the quantile based on the subordinated parametric distribution model exhibiting leptokurtic behavior is expressed. A set of portfolio asset weight changes for each of the financial assets is determined based on the expected tail loss at each such time horizon and for each risk adjusted return point. Reallocation of the portfolio is provided based on the portfolio asset weight changes for each risk adjusted return point for the portfolio.
16 Citations
30 Claims
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1. A computer-implemented system for providing reallocation and reverse optimization of a financial portfolio using a parametric leptokurtic distribution, comprising:
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a memory containing a database configured to store a time series comprising a plurality of risk factors applicable over at least one time horizon, a portfolio comprising a plurality of financial assets, a quantile, and one or more risk adjusted return points for the financial assets; an input device to receive input from a user; a network operatively coupled and providing communication between the memory, the input device, an output device, and a processor;
where the processor is programmed to execute program modules, the program modules comprising;an association module configured to associate the financial assets with the risk factors; a risk determining module configured to generate a subordinated parametric distribution model exhibiting leptokurtic behavior; an expected tail loss determining module configured to express a function of expected tail loss for the quantile based on the parametric distribution model exhibiting leptokurtic behavior, wherein the expected tail loss, ETL(x,ε
), is defined in accordance with the equation; - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15)
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16. A computer-implemented method for providing reallocation and reverse optimization of a financial portfolio using a parametric leptokurtic distribution, the computer-implemented method comprising the steps of:
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storing a time series comprising a plurality of risk factors applicable over at least one time horizon, a portfolio comprising a plurality of financial assets, a quantile, and one or more risk adjusted return points for the financial assets in a database contained in a memory; maintaining a network operatively coupled and providing communication between the memory, an input device, an output device, and a processor, wherein the processor is configured to execute computer executable code stored in program modules, comprising; associating the financial assets with the risk factors; generating a subordinated parametric distribution model exhibiting leptokurtic behavior; expressing a function of expected tail loss for the quantile based on the subordinated parametric distribution model exhibiting leptokurtic behavior, wherein the expected tail loss, ETL(x,ε
) is defined in accordance with the equation; - View Dependent Claims (17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30)
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Specification