Computer system and methods for allocation of the returns of a portfolio among a plurality of investors with different risk tolerance levels and allocation of returns from an efficient portfolio
First Claim
Patent Images
1. A computer-implemented method for distributing returns from an investment portfolio to a plurality of participants, comprising the steps of:
- forming a portfolio of assets corresponding to an operating point on an efficient frontier determined in accordance with risk-return preferences specified by the participants having varying risk-return preferences;
distributing returns from the portfolio among the participants according to an allocation function of said risk-return preferences specified by the participants.
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Abstract
A method and system is presented for distributing returns from an investment portfolio to a plurality of investors with different risk tolerances as a function of the risk-return preferences of the investors. Said portfolio may correspond to a point on an efficient frontier related to the risk-return points selected by investors.
190 Citations
37 Claims
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1. A computer-implemented method for distributing returns from an investment portfolio to a plurality of participants, comprising the steps of:
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forming a portfolio of assets corresponding to an operating point on an efficient frontier determined in accordance with risk-return preferences specified by the participants having varying risk-return preferences;
distributing returns from the portfolio among the participants according to an allocation function of said risk-return preferences specified by the participants. - View Dependent Claims (2, 3, 4, 10, 11, 12, 13, 14, 15, 18)
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5. A system for distributing returns from an investment portfolio among a plurality of participants comprising:
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memory storage for;
storing data representative of risk-return preferences specified by each of the participants; and
a processor for;
determining a portfolio of assets corresponding to an operating point on an efficient frontier in accordance with the risk-return preferences specified by the participants having varying risk-return preferences;
determining the distribution of the returns from the portfolio to each of the participants according to an allocation function of the risk-return preferences; and
distributing the returns from the portfolio among the participants. - View Dependent Claims (6, 7, 8, 9, 19, 20, 21, 22, 23, 26, 27)
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16. A method for distributing returns from an investment portfolio to a plurality of participants, comprising the steps of:
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forming a portfolio of assets corresponding to an operating point on an efficient frontier; and
distributing returns from the portfolio among the participants according to an allocation function of risk-return preferences chosen by the participants;
wherein the allocation function provides each participant an expected rate of return, ri=dμ
i+cξ
i, where μ
i is the expected rate of return chosen by the ith participant and ξ
i is the risk level chosen by the ith participant, and;
RTe is the actual return of the portfolio, and bi is the ith participant'"'"'s balance in the portfolio; and
the actual return, Ri, allocated to each participant is given by;
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17. A method for distributing returns from an investment portfolio to a plurality of participants, comprising the steps of:
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forming a portfolio of assets corresponding to an operating point on an efficient frontier; and
distributing returns from the portfolio among the participants according to an allocation function of risk-return preferences chosen by the participants;
wherein the allocation function provides each participant an expected rate of return, ri=dμ
i+cξ
i, where μ
i is the expected rate of return chosen by the ith participant and ξ
i is the risk level chosen by the ith participant, and;
RTe is the actual return of the portfolio, {overscore (R)}Te is the expected return of the portfolio and bi is the ith participant'"'"'s balance in the portfolio; and
the actual return, Ri, allocated to each participant is given by;
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24. A system for distributing returns from an investment portfolio among a plurality of participants comprising:
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memory storage for;
storing data representative of risk-return points selected by each of the participants; and
a processor for;
determining a portfolio of assets corresponding to an operating point on an efficient frontier;
determining the distribution of the returns from the portfolio to each of the participants according to an allocation function of the risk-return points; and
distributing the returns from the portfolio among the participants wherein the allocation function provides each participant an expected rate of return, ri=dμ
i+cξ
i, where μ
i is the expected rate of return chosen by the ith participant and μ
i is the risk level chosen by the ith participant, and;
RTe is the actual return of the portfolio, and bi is the ith participant'"'"'s balance in the portfolio; and
the actual return, Ri, allocated to each participant is given by;
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25. A system for distributing returns from an investment portfolio among a plurality of participants comprising:
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memory storage for;
storing data representative of risk-return points selected by each of the participants; and
a processor for;
determining a portfolio of assets corresponding to an operating point on an efficient frontier;
determining the distribution of the returns from the portfolio to each of the participants according to an allocation function of the risk-return points; and
distributing the returns from the portfolio among the participants wherein the allocation function provides each participant an expected rate of return, ri=dμ
i+cξ
i, where μ
i is the expected rate of return chosen by the ith participant and ξ
i is the risk level chosen by the ith participant, and;
RTe is the actual return of the portfolio, {overscore (R)}Te is the expected return of the portfolio and bi is the ith participant'"'"'s balance in the portfolio; and
the actual return, Ri, allocated to each participant is given by;
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28. A computer implemented method for distributing returns from each one of a plurality of investment portfolios to a respective one of a plurality of groups of participants, comprising the steps of:
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forming for each group of participants a portfolio of assets corresponding to an operating point on an efficient frontier determined in accordance with risk-return preferences specified by each participant having varying risk-return preferences in the group;
distributing for each portfolio the returns from the portfolio among the participants in the group for which the portfolio was formed according to an allocation function of the risk-return preferences specified by each participant in the group. - View Dependent Claims (29, 30, 31, 32)
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33. A computer implementated method for determining a distribution of returns from an efficient portfolio to a plurality of participants comprising the steps of:
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specifying a risk-return preference by each participant;
selecting an allocation function in accordance with the risk-return preferences specified by each participant having varying risk-return preferences;
computing and allocating a return for each participant in accordance with the allocation function. - View Dependent Claims (34)
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35. A computer-implemented method for determining a distribution of returns from an efficient portfolio to a plurality of participants, comprising the steps of:
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determining a risk level and expected rate of return for each participant; and
computing for each participant an expected rate of return, ri=dμ
i+cξ
i, where μ
i is the expected rate of return chosen by the ith participant and ξ
i is the risk level chosen by the ith participant, d and c are chosen to satisfy the following equation;
where RTe is the actual return of the portfolio, and bi is the ith participant'"'"'s balance in the portfolio; and
allocating the returns to each participant, wherein the actual return, Ri, allocated to each participant is given by;
- View Dependent Claims (36, 37)
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Specification