Economics at your fingertips  

Detecting underestimates of risk in VaR models

Stephen Thiele

Journal of Banking & Finance, 2019, vol. 101, issue C, 12-20

Abstract: This paper explores avenues to improve VaR backtesting against violations of unconditional coverage, with emphasis on detecting underestimates of risk. I show that existing tests for unconditional coverage have an undesirable asymmetry in power, making them less (more) effective at detecting underestimates (overestimates) of risk. A set of Lagrange multiplier (LM) tests is proposed, leading to improved power against the more dangerous underestimates. Also, the use of one-sided coverage tests is revisited, with a one-sided version of the new LM test performing best. Results are supported by simulations, showing the effectiveness of the new tests in finite samples. The same issues of asymmetric power are shown to carry over to the case of conditional coverage, though it appears that finite sample issues affecting the independence component of the tests can adversely impact performance. A simple weighted test statistic is shown to help alleviate this problem, providing an avenue to exploit the advantages of the LM approach in a conditional coverage setting.

Keywords: Risk management; Model validation; One-sided alternatives; Lagrange multiplier tests (search for similar items in EconPapers)
JEL-codes: C12 C52 C53 C58 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed

Downloads: (external link)
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link:

Access Statistics for this article

Journal of Banking & Finance is currently edited by Ike Mathur

More articles in Journal of Banking & Finance from Elsevier
Bibliographic data for series maintained by Dana Niculescu ().

Page updated 2019-05-11
Handle: RePEc:eee:jbfina:v:101:y:2019:i:c:p:12-20