LogNormalVaRFigure function

Figure of lognormal VaR and pdf against L/P

Gives figure showing the VaR and probability distribution function against L/P of a portfolio assuming geometric returns are normally distributed, for specified confidence level and holding period.

LogNormalVaRFigure(...)

Arguments

• ...: The input arguments contain either return data or else mean and standard deviation data. Accordingly, number of input arguments is either 4 or 5. In case there 4 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

  cl VaR confidence level and should be scalar

  hp VaR holding period in days and should be scalar

Examples

# Plots lognormal VaR and pdf against L/P data for given returns data
   data <- runif(5, min = 0, max = .2)
   LogNormalVaRFigure(returns = data, investment = 5, cl = .95, hp = 90)

   # Plots lognormal VaR and pdf against L/P data with given parameters
   LogNormalVaRFigure(mu = .012, sigma = .03, investment = 5, cl = .95, hp = 90)

Author(s)

Dinesh Acharya

References

Dowd, K. Measuring Market Risk, Wiley, 2007.