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Mixture normal Value at Risk models of some European market portfolios

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F12%3A86082694" target="_blank" >RIV/61989100:27510/12:86082694 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Mixture normal Value at Risk models of some European market portfolios

  • Original language description

    The assumption of normal probability distribution belongs to the biggest imperfections of estimating Value at Risk. In point of fact, the returns of financial time series are rather distributed leptokurtic than normally. Moreover, the empirical distributions are often skewed. In these cases, the assumption of normal distribution results in over- or underestimation of VaR especially when the quantiles are very high/low. Therefore it is necessary to put emphasis on respecting the leptokurtic and skewed return distribution. In this paper, we interpret the one out of the method how to estimate VaR with respect to the empirical distributions. We describe the analytical solution of VaR under mixture and Markov-Switching normal distribution condition and we compare the estimates according to both approaches. We also present the estimation method of distribution parameters. Thus, we briefly describe and derive the maximum likelihood method based on the iterative EM-algorithm. Using the four se

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    AH - Economics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GPP403%2F12%2FP692" target="_blank" >GPP403/12/P692: Managing and modelling of insurance risks within Solvency II</a><br>

  • Continuities

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

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Řízení a modelování finančních rizik : sborník příspěvků z 6. mezinárodní vědecké konference : 10.-11. září 2012, Ostrava, Česká republika

  • ISBN

    978-80-248-2835-0

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    653-663

  • Publisher name

    VŠB - Technická univerzita Ostrava

  • Place of publication

    Ostrava

  • Event location

    Ostrava

  • Event date

    Sep 10, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000317528600074