EconPapers    
Economics at your fingertips  
 

Geometric Distribution as Means of Increasing Power in Backtesting VaR

Marta Małecka ()
Additional contact information
Marta Małecka: University of Łódź

A chapter in Contemporary Trends and Challenges in Finance, 2020, pp 159-167 from Springer

Abstract: Abstract We explore properties of the geometric distribution as means of constructing conditional coverage VaR tests. We study properties of these tests using asymptotic convergence of the test statistics. In this way, we replace Monte Carlo simulated distributions. We provide a unified framework that allows for effective comparison of various procedures. To achieve comparability we modify test statistics and adapt them to the conditional coverage hypothesis. We show that two tests that indirectly use properties of the geometric distribution—the test based on the General Method of Moments and the test based on the Gini coefficient—may be conveniently implemented with the use of known theoretical distributions. We argue that replacing Monte Carlo simulations with these distributions does not pose the risk of overrejecting correct risk models. We also demonstrate their efficiency at detecting incorrect models. We include practical guidelines about significance level and sample size that ensure accurate and efficient testing.

Date: 2020
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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: https://EconPapers.repec.org/RePEc:spr:prbchp:978-3-030-43078-8_13

Ordering information: This item can be ordered from
http://www.springer.com/9783030430788

DOI: 10.1007/978-3-030-43078-8_13

Access Statistics for this chapter

More chapters in Springer Proceedings in Business and Economics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().

 
Page updated 2025-01-19
Handle: RePEc:spr:prbchp:978-3-030-43078-8_13