On a subjective approach to risk measurement
Author:
Piotr Jaworski a
| Affiliation: | a Institute of Mathematics, Warsaw University, 02-097 Warszawa, Poland |
DOI:
10.1080/14697680600739120
Publication Frequency:
8 issues per year
Formats available:
HTML
(English)
:
PDF
(English)
View Article:
View Article (PDF)
View Article (HTML)
Abstract
This study is based on the analogy between hedging a risky asset and keeping reserves to meet an unknown demand. The optimal hedging level, which depends on individual preferences, is regarded as a measure of risk. We determine the set of optimal levels and investigate the properties of the associated risk measures. This approach provides a new insight into Value at Risk (VaR). We consider it as a solution of a certain optimal inventory problem with linear cost and loss functions. We show that these functions determine the confidence level of VaR. In this way we obtain a simple model that helps us to choose a proper confidence level
and explains why supervisory institutions (such as the Basle Committee) choose a higher than financial institutions themselves.
|
| Keywords: Risk measures; Value at Risk; Inventory theory; Stochastic optimization; Convex analysis |
| view references (31) |

Download Citation

and explains why supervisory institutions (such as the Basle Committee) choose a higher
CiteULike
Del.icio.us
BibSonomy
Connotea