Title
Granularity adjustment for risk measures: Systematic vs unsystematic risks.
Abstract
The granularity principle (Gordy, 2003) 17 allows for closed form expressions of the risk measures of a large portfolio at order 1/n, where n is the portfolio size. The granularity principle yields a decomposition of such risk measures that highlights the different effects of systematic and unsystematic risks. This paper derives the granularity adjustment of the Value-at-Risk (VaR), the Expected Shortfall and the other distortion risk measures for both static and dynamic risk factor models. The systematic factor can be multidimensional. The methodology is illustrated by several examples, such as the stochastic drift and volatility model, or the dynamic factor model for joint analysis of default and loss given default.
Year
DOI
Venue
2013
10.1016/j.ijar.2013.01.003
International Journal of Approximate Reasoning
Keywords
Field
DocType
Value-at-Risk,Granularity,Large Portfolio,Credit Risk,Systematic Risk,Loss Given Default
Econometrics,Actuarial science,Systematic risk,Portfolio,Artificial intelligence,Granularity,Credit risk,Expected shortfall,Time consistency,Loss given default,Mathematics,Machine learning,Value at risk
Journal
Volume
Issue
ISSN
54
6
0888-613X
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Patrick Gagliardini100.68
Christian Gouriéroux200.68