Financial Portfolio Risk Estimation via Pre-computed Interpolation

Resolve Bottlenecks,
Find Innovative Solutions
Generate Solutions

Solution Overview

Problem

Existing methods for estimating the risk of a financial portfolio with multiple derivative holdings are inefficient, as they require significant time to calculate the value of derivatives under fluctuating market conditions, especially when dealing with large portfolios, due to the complexity of representing derivative prices as analytic functions of market conditions and underlying assets.

Innovation Solution

The use of Taylor Series expansion and polynomial interpolation to estimate risk measurements based on pre-calculated values, allowing for rapid estimation of risk changes without explicit recalculation, and enabling reallocation strategies to minimize risk.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional calculation methods are used to estimate risk of derivative holdings, then measurement precision is maintained, but loss of time increases significantly

Engineering Contradiction:
Improverisk measurement precisionVSAvoidtime to calculate risk
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent pre-calculates and stores risk measurements for derivative holdings at multiple parameter values before actual risk estimation is needed. These pre-computed values are stored in a data structure that enables rapid retrieval and interpolation, eliminating the need for time-consuming calculations during actual risk assessment while maintaining precision through mathematical interpolation methods

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent creates a simplified computational model by storing copies of risk measurements at discrete parameter points. Instead of recalculating complex derivative valuations, the system uses interpolated values from pre-computed data points, effectively copying the essential risk information in a more efficient format that can be rapidly accessed and combined for portfolio-level risk estimation

Inventive Principle:
Principle #26Copying

2Measurement precision

If complex analytical functions are used to represent derivative prices, then measurement precision is improved, but device complexity increases

Engineering Contradiction:
Improvederivative price representation accuracyVSAvoidcalculation system complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent transforms the complex analytical representation problem by changing from continuous analytical functions to discrete parameter-based representations. Risk measurements are pre-computed at specific parameter values and stored in lookup tables, allowing the system to work with discrete parameter sets rather than complex continuous functions, thereby reducing computational complexity while maintaining accuracy through interpolation

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent replaces expensive, complex analytical calculations with simpler, pre-computed numerical values stored in data structures. Instead of maintaining and evaluating complex analytical models, the system uses lightweight numerical representations that can be rapidly retrieved and combined, effectively substituting heavy computational objects with lighter, more efficient alternatives

Inventive Principle:
Principle #27Cheap short-living objects (Disposable)

Data Source

PatentUS8326722B2Estimating risk of a portfolio of financial investments
Publication Date: 2012.12.04 WARP 11 HLDG
  • US8326722B2 patent drawing
  • US8326722B2 patent drawing
  • US8326722B2 patent drawing

AI summary

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.