Methods and apparatus employing hierarchical conditional variance to minimize downside risk of a multi-asset class portfolio and improved graphical user interface

Abstract

The traditional Markowitz mean-variance-optimization (MVO) framework that uses the standard deviation of the possible portfolio returns as a measure of risk does not accurately measure the risk of multi-asset class portfolios whose return distributions are non-Gaussian and asymmetric. A scenario-based conditional value-at-risk (CVaR) approach for minimizing the downside risk of a multi-asset class portfolio is addressed that uses Monte-Carlo simulations to generate the asset return scenarios. These return scenarios are incorporated into a modified Rockafellar-Uryasev based convex programming formulation to generate an optimized hedge. One example addresses hedging in an equity portfolio with options. Testing shows that a hierarchical CVaR approach generates portfolios with better predicted worst case loss, downside risk, standard deviation, and skew.

Description

[0001]The present application claims the benefit of U.S. Provisional Application Ser. No. 62 / 333,563 filed May 9, 2016 which is incorporated by reference in its entirety.RELATED APPLICATIONS[0002]The present invention may advantageously be used in conjunction with one or more of the following applications and patents: U.S. patent application Ser. No. 11 / 668,294 filed Jan. 29, 2007 which issued as U.S. Pat. No. 7,698,202; U.S. patent application Ser. No. 12 / 958,778 filed Dec. 2, 2010 which issued as U.S. Pat. No. 8,533,089; U.S. patent application Ser. No. 12 / 711,554 filed Feb. 24, 2010 which issued as U.S. Pat. No. 8,315,936; U.S. patent application Ser. No. 12 / 827,358 filed Jun. 30, 2010; U.S. patent application Ser. No. 13 / 503,696 filed Apr. 24, 2012 which issued as U.S. Pat. No. 8,533,107; U.S. patent application Ser. No. 13 / 503,698 filed Apr. 24, 2012 which issued as U.S. Pat. No. 8,700,516; U.S. patent application Ser. No. 13 / 892,644 filed May 13, 2013; U.S. patent application ...

AI Technical Summary

Benefits of technology

The present invention provides new methods for efficiently allocating a budget towards purchase of overlays, hedging market risk and credit risk, and minimizing the downside risk of a portfolio. These methods include modeling possible performance of multi-asset portfolios, constructing portfolios and trade lists with the goal of minimizing downside risk, and iteratively interacting with a graphical user interface to compare and identify a preferred portfolio, overlay, or trade list. Additionally, the present invention provides for efficient transmission of a preferred portfolio, overlay, or trade list to a portfolio database or electronic trading system.

Problems solved by technology

Market risk is the risk of a change in the value of a portfolio due to changes in the value of its holdings, for example, changes in the market value of an existing portfolio.

Credit risk is the risk of not receiving promised payments due to default of the counterparty in investments such as credit default swaps.

Such underestimation is commonly the case for multi-asset class portfolios, and it is an important limitation of traditional portfolio construction tools.

When portfolios, hedges, and trade lists are constructed for multi-asset class securities, the likelihood of underestimating the risk of the portfolio is high.

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