Methods and systems for building and managing portfolios based on ordinal ranks of securities
First Claim
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1. A method of assigning portfolio weights to each financial instrument in a portfolio of financial instruments, the method comprising:
- obtaining, with a processor, a ranking of each financial instrument in the portfolio and a portfolio-wide cutoff rank;
assigning, with the processor, a long-short portfolio weight to each financial instrument in the portfolio, wherein the long-short portfolio weight assigned to the ith financial instrument is determined according to the relationship
PorWgti=BmkWgti+(LSRM*RelWgti),and wherein;
BmkWgti denotes a benchmark weight for the ith financial instrument,LSRM denotes a long-short risk multiplier parameter for the portfolio indicative of a magnitude of active positions in the long-short portfolio, andRelWgti denotes a relative weight of the ith financial instrument proportional to a difference between the ranking of the ith financial instrument and the cutoff rank; and
assigning, with the processor, a long-only portfolio weight to each financial instrument in the portfolio having a ranking larger than the cutoff rank, wherein the long-only portfolio weight assigned to the ith financial instrument is based on a difference between the ranking of the ith financial instrument and the cutoff rank, the benchmark weight of the ith financial instrument, and a sum of long-short portfolio weights corresponding to short-held financial instruments in the long-short portfolio.
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Abstract
A system, method, and computer-readable medium are provided for managing a portfolio using financial instrument rankings. A processor determines portfolio weights for financial instruments based on a ranking associated with each instrument, a cutoff rank, and a risk multiplier.
42 Citations
20 Claims
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1. A method of assigning portfolio weights to each financial instrument in a portfolio of financial instruments, the method comprising:
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obtaining, with a processor, a ranking of each financial instrument in the portfolio and a portfolio-wide cutoff rank; assigning, with the processor, a long-short portfolio weight to each financial instrument in the portfolio, wherein the long-short portfolio weight assigned to the ith financial instrument is determined according to the relationship
PorWgti=BmkWgti+(LSRM*RelWgti),and wherein; BmkWgti denotes a benchmark weight for the ith financial instrument, LSRM denotes a long-short risk multiplier parameter for the portfolio indicative of a magnitude of active positions in the long-short portfolio, and RelWgti denotes a relative weight of the ith financial instrument proportional to a difference between the ranking of the ith financial instrument and the cutoff rank; and assigning, with the processor, a long-only portfolio weight to each financial instrument in the portfolio having a ranking larger than the cutoff rank, wherein the long-only portfolio weight assigned to the ith financial instrument is based on a difference between the ranking of the ith financial instrument and the cutoff rank, the benchmark weight of the ith financial instrument, and a sum of long-short portfolio weights corresponding to short-held financial instruments in the long-short portfolio. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
RelWgti=(Ranki−
Rankc)/Σ
Ranki<
Rankc|(Ranki−
Rankc)|, for all i with Ranki<
Rankc, wherein Ranki denotes the ranking for the ith financial instrument and Rankc denotes the cutoff rank.
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3. The method of claim 1, further comprising determining, with the processor, a long-only adjustment multiplier (LOAM) parameter based on the LSRM parameter and a sum of long-short portfolio weights corresponding to short-held financial instruments in the long-short portfolio.
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4. The method of claim 3, wherein the LOAM is determined according to the relationship
LOAM=(−- Σ
PorWgti)/LSRM, for all PorWgti<
0.
- Σ
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5. The method of claim 1, wherein the benchmark weight for a respective financial instrument in the portfolio is determined to correspond to a weight of the respective financial instrument in a financial index selected from the S&
- P 500, Russell 1000, Russell 2000, MSCI Europe, and MSCI Japan indices.
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6. The method of claim 1, wherein the cutoff rank is generated from historical financial data.
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7. The method of claim 1, wherein the rank for each financial instrument in the portfolio is determined according to a grouped ranking scheme in which at least two financial instruments in the portfolio are assigned a shared ranking.
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8. The method of claim 1, wherein a first financial instrument in the portfolio has a closest ranking to a second financial instrument in the portfolio and the first financial instrument and the second financial instrument have rankings that are non-consecutive values.
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9. The method of claim 1, wherein the financial portfolio comprises a first financial instrument, a second financial instrument, and a third financial instrument that are consecutively sequenced by their respective rankings, and wherein a difference between the ranking of the first financial instrument and the second financial instrument is greater than a difference between the ranking of the second financial instrument and the third financial instrument.
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10. The method of claim 1, wherein the ranking of at least one financial instrument in the portfolio is a non-integer value.
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11. A system for assigning portfolio weights to each financial instrument in a portfolio of financial instruments, the system comprising:
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a database; and a processor configured to; obtain a ranking of each financial instrument in the portfolio and a portfolio-wide cutoff rank; assign a long-short portfolio weight to each financial instrument in the portfolio, wherein the long-short portfolio weight assigned to the ith financial instrument is determined according to the relationship
PorWgti=BmkWgti+(LSRM*RelWgti),and wherein; BmkWgti denotes a benchmark weight for the ith financial instrument, LSRM denotes a long-short risk multiplier parameter for the portfolio indicative of a magnitude of active positions in the long-short portfolio, and RelWgti denotes a relative weight of the ith financial instrument proportional to a difference between the ranking of the ith financial instrument and the cutoff rank; and assign a long-only portfolio weight to each financial instrument in the portfolio having a ranking larger than the cutoff rank, wherein the long-only portfolio weight assigned to the ith financial instrument is based on a difference between the ranking of the ith financial instrument and the cutoff rank, the benchmark weight of the ith financial instrument, and a sum of long-short portfolio weights corresponding to short-held financial instruments in the long-short portfolio. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19, 20)
RelWgti=(Ranki−
Rankc)/Σ
Ranki<
Rankc|(Ranki−
Rankc)|, for all i with Ranki<
Rankc, wherein Ranki denotes the ranking for the ith financial instrument and Rankc denotes the cutoff rank.
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13. The system of claim 11, wherein the processor is further configured to determine a long-only adjustment multiplier (LOAM) parameter based on the LSRM parameter and a sum of long-short portfolio weights corresponding to short-held financial instruments in the long-short portfolio.
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14. The system of claim 13, wherein the processor is further configured to determine the LOAM according to the relationship
LOAM=(−- Σ
PorWgti)/LSRM, for all PorWgti<
0.
- Σ
-
15. The system of claim 11, wherein the processor is further configured to determine the benchmark weight for a respective financial instrument in the portfolio to correspond to a weight of the respective financial instrument in a financial index selected from the S&
- P 500, Russell 1000, Russell 2000, MSCI Europe, and MSCI Japan indices.
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16. The system of claim 11, wherein the processor is further configured to generate the cutoff rank from historical financial data.
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17. The system of claim 11, wherein the processor is further configured to determine the rank for each financial instrument in the portfolio according to a grouped ranking scheme in which at least two financial instruments in the portfolio are assigned a shared ranking.
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18. The system of claim 11, wherein a first financial instrument in the portfolio has a closest ranking to a second financial instrument in the portfolio and the first financial instrument and the second financial instrument have rankings that are non-consecutive values.
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19. The system of claim 11, wherein the financial portfolio comprises a first financial instrument, a second financial instrument, and a third financial instrument that are consecutively sequenced by their respective rankings, and wherein a difference between the ranking of the first financial instrument and the second financial instrument is greater than a difference between the ranking of the second financial instrument and the third financial instrument.
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20. The system of claim 11, wherein the ranking of at least one financial instrument in the portfolio is a non-integer value.
Specification