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

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...

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Autores:
María Auxiliadora Vergara Cogollo
Cecilia Maya Ochoa
Tipo de recurso:
Fecha de publicación:
2019
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/14018
Acceso en línea:
http://hdl.handle.net/10784/14018
Palabra clave:
VaR
Market Risk
Full Montecarlo
Garch
Egarch
Parch
Aparch.
VaR
riesgo de mercado
método Montecarlo Estructurado
Garch
Rights
License
Copyright © 2009 María Auxiliadora Vergara Cogollo, Cecilia Maya Ochoa
Description
Summary: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.