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Recovery rates in investment-grade pools of credit assets: A large deviations analysis
Authors:Konstantinos Spiliopoulos  Richard B Sowers
Institution:aDivision of Applied Mathematics, Brown University, Providence, RI 02912, United States;bDepartment of Mathematics, University of Illinois at Urbana–Champaign, Urbana, IL 61801, United States
Abstract:We consider the effect of recovery rates on a pool of credit assets. We allow the recovery rate to depend on the defaults in a general way. Using the theory of large deviations, we study the structure of losses in a pool consisting of a continuum of types. We derive the corresponding rate function and show that it has a natural interpretation as the favored way to rearrange recoveries and losses among the different types. Numerical examples are also provided.
Keywords:MSC: 60F05  60F10  91G40
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