Learn R Programming

Dowd (version 0.12)

CdfOfSumUsingProductCopula: Derives prob ( X + Y < quantile) using Product copula

Description

If X and Y are position P/Ls, then the VaR is equal to minus quantile. In such cases, we insert the negative of the VaR as the quantile, and the function gives us the value of 1 minus VaR confidence level. In other words, if X and Y are position P/Ls, the quantile is the negative of the VaR, and the output is 1 minus the VaR confidence level.

Usage

CdfOfSumUsingProductCopula(quantile, mu1, mu2, sigma1, sigma2)

Arguments

quantile
Portfolio quantile (or negative of Var, if X, Y are position P/Ls)
mu1
Mean of Profit/Loss on first position
mu2
Mean of Profit/Loss on second position
sigma1
Standard Deviation of Profit/Loss on first position
sigma2
Standard Deviation of Profit/Loss on second position

Value

Probability of X + Y being less than quantile

References

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

Dowd, K. and Fackler, P. Estimating VaR with copulas. Financial Engineering News, 2004.

Examples

Run this code
# Prob ( X + Y < q ) using Product Copula for X with mean 2.3 and std. .2
   # and Y with mean 4.5 and std. 1.5 with beta 1.2 at 0.9 quantile
   CdfOfSumUsingProductCopula(0.9, 2.3, 4.5, 1.2, 1.5)

Run the code above in your browser using DataLab