The Jarrow–Turnbull model is a widely used "reduced-form" credit risk model. It was published in 1995 by Robert A. Jarrow and Stuart Turnbull.[1] Under the model, which returns the corporate's probability of default, bankruptcy is modeled as a statistical process.The model extends the reduced-form model of Merton (1976) [2] to a random interest rates framework.
Reduced-form models are an approach to credit risk modeling that contrasts sharply with "structural credit models",the best known of which is the Merton model of 1974.Reduced-form models focus on modeling the probability of default as a statistical process, whereas structural-models inhere a microeconomic model of the firm's capital structure, deriving the (single-period) probability of default from the random variation in the (unobservable) value of the firm's assets.[3]
Large financial institutions employ default models of both the structural and reduced-form types. The Merton structural default probabilities were first offered by KMV LLC in the early 1990s. KMV LLC was acquired by Moody's Investors Service in 2002.