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Backtesting VaR Estimation under GARCH and GJR-GARCH Models

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F13%3A86087388" target="_blank" >RIV/61989100:27510/13:86087388 - isvavai.cz</a>

  • Result on the web

    <a href="http://msed.vse.cz/files/2013/191-Kresta-Ales-paper.pdf" target="_blank" >http://msed.vse.cz/files/2013/191-Kresta-Ales-paper.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Backtesting VaR Estimation under GARCH and GJR-GARCH Models

  • Original language description

    The important and no less interesting part of financial risk management is the risk modelling. Commonly utilized measure of risk (not only by banks and insurance companies) is Value at Risk. Since the financial time series are typical by non-constant volatility over time, it is crucial for Value at Risk calculation to model the standard deviation of returns correctly. In the paper we assume (relatively simple) models based on GARCH and GJR-GARCH models with Student distributions of innovations. These models are back-tested assuming the investment into Prague stock market index. The period utilized for back-testing is from 1993 till 2012, i.e. 4,627 daily values. The evaluation is made by means of the detected number of exceptions, i.e. the cases in which the observed losses were bigger than estimated Value at Risk on a given probability level. Also well-known statistical tests due to Kupiec and Christoffersen are utilized. According to results the assumed models are not accurate ? the

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    AH - Economics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    The 7th International Days of Statistics and Economics : conference proceedings : September 19-21, 2013, Prague, Czech Republic

  • ISBN

    978-80-86175-87-4

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    700-710

  • Publisher name

    Melandrium

  • Place of publication

    Slaný

  • Event location

    Praha

  • Event date

    Sep 19, 2013

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article