The quantum harmonic oscillator expected shortfall model

Authors

  • Vladimir M. Markovic Faculty of Science, University of Kragujevac
  • Nikola Radivojevic Academy at applied studies Sumadia in Kragujevac
  • Tatjana Ivanovic Faculty of Agriculture, University of Pristina
  • Slobodan Radisic Faculty of Technical Sciences, University of Novi Sad
  • Nenad Novakovic Faculty of Technical Sciences, University of Novi Sad

Abstract

This paper presents a new Expected Shortfall (ES) model based on the Quantum Harmonic Oscillator (QHO). It is used to estimate market risk in banks and other financial institutions according to Basel III standard. Predictions of the model agree with the empirical data which displays deviations from normality. Using backtesting, it is shown that the model can be reliably used to assess market risk.

Keywords:

Expected Shortfall, market risk, Basel III standard, stock returns, S&P index