# LogtESPlot2DHP: Plots log-t ES against holding period In Dowd: Functions Ported from 'MMR2' Toolbox Offered in Kevin Dowd's Book Measuring Market Risk

## Description

Plots the ES of a portfolio against holding period assuming that geometric returns are Student t distributed, for specified confidence level and holding period.

## Usage

 `1` ```LogtESPlot2DHP(...) ```

## Arguments

 `...` 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 ES confidence level and must be a scalar hp ES holding period and must be a vector

Dinesh Acharya

## References

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

## Examples

 ```1 2 3 4 5 6``` ```# Computes ES given geometric return data data <- runif(5, min = 0, max = .2) LogtESPlot2DHP(returns = data, investment = 5, df = 6, cl = .95, hp = 60:90) # Computes v given mean and standard deviation of return data LogtESPlot2DHP(mu = .012, sigma = .03, investment = 5, df = 6, cl = .99, hp = 40:80) ```

Dowd documentation built on May 30, 2017, 1:30 a.m.