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Analyzing Asymetric Dependence in Exchange Rates using Copula

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  • Alexie Alupoaiei
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    Abstract

    In this paper I aimed to analyze the use of copulas in financial application, namely to investigate the assumption of asymmetric dependence and to compute some measures of risk. For this purpose I used a portfolio consisting in four currencies from Central and Eastern Europe. Due to some stylized facts observed in exchange rate series I filter the data with an ARMA GJR model. The marginal distributions of filtered residuals are fitted with a semi-parametric CDF, using a Gaussian kernel for the interior of distribution and Generalized Pareto Distribution for tails. To obtain a better view of the dependence among the four currencies I proposed a decomposition of large portfolio in other three bivariate sub-portfolios. For each of them I compute Value-at-Risk and Conditional Value-at-Risk and then backtest the results.

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    File URL: http://www.dofin.ase.ro/Working%20papers/Alupoaiei%20Alexie/alupoaiei.alexie.dissertation.pdf
    File Function: First version, 2010
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    Bibliographic Info

    Paper provided by Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB in its series Advances in Economic and Financial Research - DOFIN Working Paper Series with number 44.

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    Date of creation: Oct 2010
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    Handle: RePEc:cab:wpaefr:44

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    Keywords: Value-at-Risk; copula; Generalized Pareto Distribution;

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