A Note on the Link between Asymmetric Risk and Shortfall Risk

2008 ◽  
Author(s):  
Ba M. Chu
Keyword(s):  



2000 ◽  
Vol 4 (2) ◽  
pp. 117-146 ◽  
Author(s):  
Hans Föllmer ◽  
Peter Leukert




2022 ◽  
Author(s):  
Erick Delage ◽  
Shaoyan Guo ◽  
Huifu Xu

Utility-based shortfall risk measures effectively captures a decision maker's risk attitude on tail losses. In this paper, we consider a situation where the decision maker's risk attitude toward tail losses is ambiguous and introduce a robust version of shortfall risk, which mitigates the risk arising from such ambiguity. Specifically, we use some available partial information or subjective judgement to construct a set of plausible utility-based shortfall risk measures and define a so-called preference robust shortfall risk as through the worst risk that can be measured in this (ambiguity) set. We then apply the robust shortfall risk paradigm to optimal decision-making problems and demonstrate how the latter can be reformulated as tractable convex programs when the underlying exogenous uncertainty is discretely distributed.







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