Estimating risk of a portfolio of financial investments
First Claim
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1. A method, performed at least in part by a computer, for providing an estimate of risk of a portfolio of a plurality of financial investment holdings to fluctuations in a portfolio value, the method comprising:
- receiving, by a computer processor, an indication of a first set of values of at least two parameters, the first set of values including a first value for each of the at least two parameters;
accessing, from a computer memory, an indication of a predetermined measurement of risk of a portfolio holdings to a second set of values of the at least two parameters, the second set of values including a second value for each of the at least two parameters;
accessing, from the computer memory, an indication of a predetermined measurement of risk of the portfolio holdings to a third set of values of the at least two parameters, the third set of values including a third value for each of the at least two parameters such that the third set of values is different from the second set of values; and
performing a stress testing estimating a measurement of risk of the portfolio holdings by performing operations that include;
performing by one or more computer processors a Taylor Series expansion identifying multiple estimated measurements of risk of the portfolio holdings to multiple values of one of the at least two parameters based on the accessed indication of the predetermined measurement of risk of the portfolio holdings to the second set of values, and the accessed indication of the predetermined measurement of risk of the portfolio holdings to the third set of values; and
performing by the one or more computer processors a polynomial interpolation estimating a measurement of risk of the portfolio holdings to the first set of values based on the multiple estimated measurements of risk, wherein the operations performed for the stress testing include the Taylor Series expansion performed on a set of previously calculated risk measurements that reflect the outputs of a finite difference grid model where each term in the Taylor Series expansion is a prescription for the polynomial interpolation.
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Abstract
An estimate of the effect of a market condition or conditions on a portfolio of financial investments is determined. Financial risk for a portfolio of financial investments is estimated for particular observed parameter values that affect the value of the portfolio. The financial risk is estimated based on previously calculated measurements of risk of the portfolio for a previously selected range of values of the parameters.
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Citations
40 Claims
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1. A method, performed at least in part by a computer, for providing an estimate of risk of a portfolio of a plurality of financial investment holdings to fluctuations in a portfolio value, the method comprising:
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receiving, by a computer processor, an indication of a first set of values of at least two parameters, the first set of values including a first value for each of the at least two parameters; accessing, from a computer memory, an indication of a predetermined measurement of risk of a portfolio holdings to a second set of values of the at least two parameters, the second set of values including a second value for each of the at least two parameters; accessing, from the computer memory, an indication of a predetermined measurement of risk of the portfolio holdings to a third set of values of the at least two parameters, the third set of values including a third value for each of the at least two parameters such that the third set of values is different from the second set of values; and performing a stress testing estimating a measurement of risk of the portfolio holdings by performing operations that include; performing by one or more computer processors a Taylor Series expansion identifying multiple estimated measurements of risk of the portfolio holdings to multiple values of one of the at least two parameters based on the accessed indication of the predetermined measurement of risk of the portfolio holdings to the second set of values, and the accessed indication of the predetermined measurement of risk of the portfolio holdings to the third set of values; and performing by the one or more computer processors a polynomial interpolation estimating a measurement of risk of the portfolio holdings to the first set of values based on the multiple estimated measurements of risk, wherein the operations performed for the stress testing include the Taylor Series expansion performed on a set of previously calculated risk measurements that reflect the outputs of a finite difference grid model where each term in the Taylor Series expansion is a prescription for the polynomial interpolation. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20)
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21. A computer program product tangibly embodied in an machine-readable storage device, the computer program product including instructions that, when executed by a computer processor, provide an estimate of risk of a portfolio of a plurality of financial investment holdings to fluctuations in a portfolio value, the computer program product configured to:
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receive an indication of a first set of values of at least two parameters, the first set of values including a first value for each of the at least two parameters; access an indication of a predetermined measurement of risk of a portfolio holdings to a second set of values of the at least two parameters, the second set of values including a second value for each of the at least two parameters; access an indication of a predetermined measurement of risk of the portfolio holdings to a third set of values of the at least two parameters, the third set of values including a third value for each of the at least two parameters such that the third set of values is different from the second set of values; and performing a stress testing estimating a measurement of risk of the portfolio holdings by performing operations that include; perform a Taylor Series expansion identifying multiple estimated measurements of risk of the portfolio holdings to multiple values of one of the at least two parameters based on the accessed indication of the predetermined measurement of risk of the portfolio holdings to the second set of values, and the accessed indication of the predetermined measurement of risk of the portfolio holdings to the third set of values; and perform a polynomial interpolation estimating a measurement of risk of the portfolio holdings to the first set of values based on the multiple estimated measurements of risk, wherein the operations performed for the stress testing include the Taylor Series expansion performed on a set of previously calculated risk measurements that reflect the outputs of a finite difference grid model where each term in the Taylor Series expansion is a prescription for the polynomial interpolation. - View Dependent Claims (22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40)
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Specification