What’s the difference between 1D and 2D?
A two-dimensional model—sometimes called an Expected Loss (EL) model—breaks things down into three parts:
- Probability of Default (PD): How likely it is that the borrower will default.
- Loss Given Default (LGD): How much we’d lose (as a percentage) if that default actually happens.
- Exposure at Default (EAD): The dollar amount at risk if default occurs.
The math behind this calculation is:
EL = PD × LGD × EAD
In contrast, a one-dimensional model combines PD and LGD into a single score or rating. It also tends to factor in other elements that may (or may not) have anything to do with actual credit risk.
The big selling point of the 2D model has always been clarity. Bankers using this model can see how much risk is tied to the borrower vs. the structure of the facility. And when CECL came along, with its focus on expected loss, it seemed to align naturally with the 2D approach—at least at first.