Anti-Benchmark Portfolio Construction via Inverse Correlation

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Solution Overview

Problem

Existing securities portfolio management methods fail to optimize diversification, leading to suboptimal return-to-risk ratios and higher volatility, particularly in market cap weighted indices, which can result in biased investments towards overvalued securities.

Innovation Solution

The Anti-Benchmark method and system maximize diversification within a predefined universe of securities by computing correlations and volatilities, selecting a portfolio that captures risk premium with lower volatility and higher Sharpe ratio, using a purely quantitative approach that optimizes portfolio weightings based on risk characteristics without relying on alpha predictions or explicit tracking error constraints.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of operation

If market cap weighted indices are used for portfolio management, then ease of operation is improved, but diversification is worsened leading to higher volatility and suboptimal return-to-risk ratios

Engineering Contradiction:
Improveease of portfolio managementVSAvoiddiversification quality
Core Design Contradiction:
Ease of operationVSReliability

Solution Approach 1:

The patent inverts the traditional market-cap-weighted approach by constructing an 'Anti-Benchmark' portfolio that deliberately selects securities with low correlations to the benchmark and to each other. Instead of weighting by market cap (which concentrates in large caps), the methodology weights by inverse correlation and inverse volatility, systematically selecting smaller, less correlated securities to achieve superior diversification while maintaining operational simplicity through automated quantitative selection.

Inventive Principle:
Principle #13The other way round (Inversion)

2Adaptability or versatility

If traditional benchmark portfolios are used, then adaptability to market standards is improved, but return-to-risk ratio is worsened due to suboptimal diversification

Engineering Contradiction:
Improvealignment with market benchmarkVSAvoidreturn-to-risk ratio
Core Design Contradiction:
Adaptability or versatilityVSManufacturing precision

Solution Approach 1:

The patent changes the fundamental parameters of portfolio construction by replacing market-cap weights with correlation-based and volatility-based weights. The methodology computes pairwise correlations between all securities and selects those with lowest correlations to the benchmark and to each other, then applies inverse volatility weighting. This parameter transformation maintains adaptability to any benchmark while achieving superior risk-adjusted returns through mathematically optimized diversification.

Inventive Principle:
Principle #35Parameter changes

3Reliability

If securities are selected to maximize diversification, then volatility is reduced, but portfolio complexity increases requiring computation of correlations and volatilities

Engineering Contradiction:
Improvevolatility reductionVSAvoidcomputational complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent implements a self-service computational system where the portfolio construction methodology automatically performs all necessary correlation and volatility calculations, security selection, and weight optimization without requiring external expert intervention. The systematic quantitative framework self-determines the optimal portfolio composition by computing pairwise correlations, identifying low-correlation securities, and automatically assigning weights based on inverse volatility, thereby managing complexity through automation rather than simplification.

Inventive Principle:
Principle #25Self-service

Data Source

PatentUS7958038B2Methods and systems for providing an anti-benchmark portfolio
Publication Date: 2011.06.07 LEHMAN BROS INT EURO
  • US7958038B2 patent drawing
  • US7958038B2 patent drawing
  • US7958038B2 patent drawing

AI summary

In one aspect, the invention comprises a method comprising: (a) acquiring data regarding a first group of securities in a first portfolio; (b) based on said data and on risk characteristics of said first group of securities, identifying a second group of securities to be included in a second portfolio; and (c) calculating holdings in said second portfolio based on one or more portfolio optimization procedures. In another aspect, the invention comprises software for performing the steps described above (as well as steps of other embodiments), and in another aspect, the invention comprises one or more computer systems operable to perform those steps.