Mean/Var for Loss rate given Loss and Balance

St210

New Member
#1
We have a variable X (Loss Dollars) with known Mean and Stdev, and variable Y (Balance) with known Mean and Stdev. Let’s also assume we know the Correlation between X and Y.

Is there a closed form solution for the Mean and the Stdev (or Coefficient of Variation) for Loss% = Loss$/Balance (X/Y)?