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Published byPaul Maximilian Haynes Modified over 9 years ago
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Measures the potential loss in value of a risky asset or portfolio over a defined period for a given confidence interval For example: ◦ If the VaR on an asset is $100,000 at a one-week, 95% confidence level, then there is only a 5% chance that the value of the asset will drop more than $100,000 over any given week
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Focus is on downside risk and potential losses Most often used by commercial and investment banks to capture the potential loss in value of their traded portfolios from adverse market movements The VaR can be compared to available capital & cash reserves to ensure that the losses can be covered without putting firms at risk
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Variance-Covariance Method ◦ Using an assumed distribution for the asset return (e.g. normally distributed), estimated mean, variances & covariance, compute the associated probability for the VaR Historical Simulation ◦ Use sorted time series data to identify the percentile value associated with the desired VaR Monte Carlo Simulation ◦ Specify probability distributions & correlations for relevant market risk factors and build a simulation model that describes the relationship between the market risk factors and the asset return. After performing iterations, identify the return that produces the desired percentile for the VaR.
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Returns may not be distributed as assumed. Thus there could be more outliers than expected and the actual VaR could be much higher than the computed VaR Variance-Covariance matrix is based on historical data, which is a collection of estimates that might have large standard errors Variance-Covariance matrices can change over time when the fundamentals that drive these numbers change over time (e.g. oil prices)
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