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Paper / 2026SMQ / 242639343176497
Weighted Generalized Risk Measure and Risk Quadrangle: Characterization, Optimization and Application
Xintao Ye / Yang Liu / Yunran Wei
optimization / portfolio optimizationResource overview

Weighted Generalized Risk Measure and Risk Quadrangle: Characterization, Optimization and Application

Paper2026

by Xintao Ye, Yang Liu, Yunran Wei

Tags
optimizationportfolio optimizationrisk management

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Understand this paper

Suggested foundations for risk measurement and stress and portfolio construction. Specialist prerequisites vary by paper.

Before you read

  1. Random Variables and Distributions

    Represent losses as a distribution rather than one forecast.

  2. Expected Shortfall and Other Tail Risk Measures

    Distinguish a loss quantile from the average loss in the tail.

  3. Eigenvalues and Covariance Matrices

    Understand the covariance structure of portfolio risk.

  4. Constrained and Convex Optimisation

    Read objectives, constraints and optimality conditions.

Go further

  1. VaR Estimation in Practice: Variance-Covariance, Historical Simulation, Monte Carlo

    Compare risk estimators and their assumptions.

  2. Backtesting VaR and ES: Coverage Tests and Model Validation

    Check forecasts against realised losses.

  3. Mean-Variance Optimisation

    Construct allocations and examine sensitivity to estimated inputs.

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