Plots the ES of a portfolio against confidence level and holding period assuming that geometric returns are Student-t distributed, for specified confidence level and holding period.
The input arguments contain either return data or else mean and standard deviation data. Accordingly, number of input arguments is either 5 or 6. In case there 5 input arguments, the mean and standard deviation of data is computed from return data. See examples for details.
returns Vector of daily geometric return data
mu Mean of daily geometric return data
sigma Standard deviation of daily geometric return data
investment Size of investment
df Number of degrees of freedom in the t distribution
cl VaR confidence level and must be a vector
hp VaR holding period and must be a vector
Dowd, K. Measuring Market Risk, Wiley, 2007.
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# Plots ES against confidene level given geometric return data data <- rnorm(5, .09, .03) LogtESPlot3D(returns = data, investment = 5, df = 6, cl = seq(.9,.99,.01), hp = 1:100) # Computes ES against confidence level given mean and standard deviation of return data LogtESPlot3D(mu = .012, sigma = .03, investment = 5, df = 6, cl = seq(.9,.99,.01), hp = 1:100)