Computation of expected shortfall by fast detection of worst scenarios. Issue 7 (3rd July 2021)

• Record Type: Journal Article
• Authors: Bouchard, Bruno; Reghai, Adil; Virrion, Benjamin
• Is Part Of: Quantitative finance. Volume 21:Issue 7(2021)
• Page Start: 1087
• Page End: 1108
• Publication Date: 2021-07-03
• Subjects: Expected shortfall -- Ranking and selection -- Sequential design -- Bayesian filter; Finance -- Periodicals; Business mathematics -- Periodicals; Finance -- Mathematical models -- Periodicals; Investments -- Mathematics -- Periodicals; Economics -- Periodicals; Finances -- Modèles mathématiques -- Périodiques; 332.015118
• DOI: 10.1080/14697688.2021.1880618
• Languages: English
• ISSNs: 1469-7688

Abstract

Abstract : We consider multi-step algorithms for the computation of the historical expected shortfall. At each step of the algorithms, we use Monte Carlo simulations to reduce the number of historical scenarios that potentially belong to the set of worst-case scenarios. We show how this can be optimized by either solving a simple deterministic dynamic programming algorithm or in an adaptive way by using a stochastic dynamic programming procedure under a given prior. We prove L p -error bounds and numerical tests are performed.