Default Model Definition

What Is a Default Model?

A default model is constructed by financial institutions (FIs) to determine the likelihood of a default on credit obligations by a corporation or sovereign entity. These statistical models often use regression analysis with certain market variables that are pertinent to a company’s financial situation to identify the nature and scope of credit risk

Internally, a lender runs default models on loan exposure to their customers to determine risk limits, pricing, tenor, and other terms. Credit agencies, meanwhile, calculate probabilities of default with the models in order to assign credit ratings.

Key Takeaways

  • A default model is constructed by financial institutions to determine default probabilities on credit obligations by a corporation or sovereign entity.
  • Default models often use regression analysis with market variables that are relevant to a company’s financial situation.
  • Lenders run default models on loan exposure to their customers to establish risk limits, pricing, tenor, and other terms.
  • Credit agencies calculate probabilities of default with default models to assign credit ratings.

Understanding Default Models

Before a bank or other lending institution extends substantial credit to a customer, it will set up a default model, running all the relevant numbers to calculate potential loss exposure. The relationships between dependent and independent variables will be established, and with the input of varying sets of assumptions into the model, an output of default probabilities (under sensitivity analysis) will be produced. 

A default model is essential for a standard loan, but it is also critical in quantifying risk for more sophisticated products such as credit default swaps (CDSs). For a CDS, a financial derivative or contract that allows an investor to “swap” or offset their credit risk with that of another investor, the buyer and seller would run their own default models on an underlying credit to determine the terms of the transaction.

The bread-and-butter business of credit agencies such as Moody’s and Standard & Poor’s is developing sophisticated default models. The goal of these models is to designate credit ratings that are standard in most cases for bond (or other credit-linked product) issuance into the public markets. 

The entities for which a default model is established can be corporations, municipalities, countries, government agencies, and special purpose vehicles. In all cases, the model will estimate the probabilities of default under various scenarios. Generally, the higher the default probability, the higher the interest rate the lender will charge the borrower.

Types of Default Models

There exist two different schools of thought on how best to measure credit risk that influence the manner in which default models are pieced together. They are:

Structural Models

Structural models assume complete knowledge of a company’s assets and liabilities, resulting in a predictable default time. Often called Merton models, after the Nobel laureate academic Robert C. Merton, these models conclude that default risks occur at the maturing date if, at that stage, the value of a company’s assets fall below its outstanding debt.

Reduced-Form Models

Reduced-form models, on the other hand, take the view that the modeler is in the dark about the company’s financial condition. Defaulting is treated as an unexpected event that can be governed by a multitude of different factors going on in the market.

One of the first reduced-form models was the Jarrow Turnbull model, which utilizes multi-factor and dynamic analysis of interest rates to calculate the probability of default.


Most banks and credit rating agencies use a combination of structural and reduced-form models, as well as proprietary variants, to assess credit risk.

Criticism of Default Models

Default models are by no means flawless and have attracted plenty of controversy over the years. One big example is the 2008 financial crisis.

Credit agencies were blamed for being partly responsible for the great recession of the late 2000s because they gave triple-A ratings to hundreds of billions of dollars worth of collateralized debt obligations (CDO) packed with subprime loans.

With the stamp of approval of high credit ratings, CDOs were prostituted out around the markets by Wall Street. What happened to those CDOs is well known. One can only hope that credit agencies have made the necessary adjustments to their default models to avoid future mishaps.

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