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Structured Monte Carlo. Estimated value at risk in a stock portfolio in Colombia

机译:结构化的蒙特卡洛。哥伦比亚某股票投资组合的估计风险价值

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This research explores various methods to estimate Value at Risk for a portfolio of high and medium liquidity Colombian stocks. It concludes that, according to the characteristics of these assets, Full Montecarlo is more robust than other parametric methods –particularly the Normal method-, and the historical simulation. However, to avoid model risk, it requires a correct specification of the stochastic process followed by each of the risk factors. Given the evidence of fat tails on the return series, volatility models such as GARCH, EGARCH, PARCH and APARCH are used for this purpose. After that, we compare the one-step ahead VaR forecast given by these models with the one obtained by parametric methods. It is found that Garch models predict VaR better since they capture the fat tails characteristic of these series. Once the stochastic process for each asset is properly identified, the Full Montecarlo is applied to estimate VaR.
机译:这项研究探索了各种方法来估算高流动性哥伦比亚股票组合的风险价值。结论是,根据这些资产的特征,Full Montecarlo比其他参数化方法(尤其是Normal方法)和历史模拟要强大。但是,为了避免模型风险,它要求对随机过程进行正确的说明,并附带每个风险因素。考虑到收益序列上存在大量拖尾的证据,为此使用了波动率模型(例如GARCH,EGARCH,PARCH和APARCH)。之后,我们将这些模型给出的提前一步的VaR预测与通过参数方法获得的预测进行了比较。发现Garch模型可以更好地预测VaR,因为它们捕获了这些序列的胖尾特征。一旦正确识别了每种资产的随机过程,就可以应用全蒙特卡罗法来估计VaR。

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