A Confidence Interval Procedure for Expected Shortfall Risk Measurement via Two-Level Simulation

  • Authors:
  • Hai Lan;Barry L. Nelson;Jeremy Staum

  • Affiliations:
  • Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai 200052, China;Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, Illinois 60208;Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, Illinois 60208

  • Venue:
  • Operations Research
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

We develop and evaluate a two-level simulation procedure that produces a confidence interval for expected shortfall. The outer level of simulation generates financial scenarios, whereas the inner level estimates expected loss conditional on each scenario. Our procedure uses the statistical theory of empirical likelihood to construct a confidence interval. It also uses tools from the ranking-and-selection literature to make the simulation efficient.