Optimal portfolios with stress analysis and the effect of a CVaR constraint

J. Z. Liu, Ka Fai Cedric Yiu, K. L. Teo

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)

Abstract

Risk-constrained allocation of risky assets in financial portfolios is particularly important in situations when asset returns appear to have large fluctuations. This problem is addressed here. The asset price is assumed to be driven by a Brownian motion perturbed by a compound Poisson process. This resembles a price process perturbed by an exogenous factor which may cause large movements in price. The jump size of the Poisson process and the rate of jump define, respectively, a scenario and its occurrence probability. The stress testing is conducted to evaluate the performance and assess the resilience of the portfolio subject to exceptional but major events. We examine how a conditional-value-at-risk constraint exerts an influence on the portfolio composition.
Original languageEnglish
Pages (from-to)83-95
Number of pages13
JournalPacific Journal of Optimization
Volume7
Issue number1
Publication statusPublished - 1 Jan 2011

Keywords

  • Conditional-value-at-risk
  • Jump-diffusion
  • Optimal portfolio
  • Stress testing

ASJC Scopus subject areas

  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics

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