1 In the setting of ''affine'' jump-diffusion state processes, this paper provides an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical treatment of a range of valuation and econometric problems. Example applications include fixed-income pricing models, with a role for… (More)
the exercise should ask for a demonstration that the proposed strategies are consistent with a Nash equilibrium, and not imply that they are unique in that regard.
This article presents convenient reduced-form models of the valuation of contingent claims subject to default risk, focusing on applications to the term structure of interest rates for corporate or sovereign bonds. Examples include the valuation of a credit-spread option. This article presents a new approach to modeling term structures of bonds and other… (More)
I find that the standard class of affine models produces poor forecasts of future changes in Treasury yields. Better forecasts are generated by assuming that yields follow random walks. The failure of these models is driven by one of their key features: The compensation that investors receive for facing risk is a multiple of the variance of the risk. This… (More)
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How Much of the Corporate-Treasury Yield Spread Is Due to Credit Risk? No consensus has yet emerged from the existing credit risk literature on how much of the observed corporate-Treasury yield spreads can be explained by credit risk. In this paper, we propose a new calibration approach based on historical default data and show that one can indeed obtain… (More)
We study the implications of imperfect information for term structures of credit spreads on corporate bonds. We suppose that bond investors cannot observe the issuer's assets directly, and receive instead only periodic and imperfect accounting reports. For a setting in which the assets of the firm are a geometric Brownian motion until informed equityholders… (More)
We provide the definition and a complete characterization of regular affine processes. This type of process unifies the concepts of continuous-state branching processes with immigration and Ornstein-Uhlenbeck type processes. We show, and provide foundations for, a wide range of financial applications for regular affine processes.
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Sanjay Mithal is a Director in the North American struc-turing group at Deutsche Bank in New York. The views in this paper are his own, and do not represent those of Deutsche Bank. are particularly grateful for the comments of the Editor Robert Stambaugh and an anonymous referee. All errors are our responsibility. ABSTRACT We use the information in… (More)