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Higher Order Binaries with Time Dependent Coefficients and Two Factors - Model for Defaultable Bond with Discrete Default Information

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  • Hyong-Chol O
  • Yong-Gon Kim
  • Dong-Hyok Kim

Abstract

In this article, we consider a 2 factors-model for pricing defaultable bond with discrete default intensity and barrier where the 2 factors are stochastic risk free short rate process and firm value process. We assume that the default event occurs in an expected manner when the firm value reaches a given default barrier at predetermined discrete announcing dates or in an unexpected manner at the first jump time of a Poisson process with given default intensity given by a step function of time variable. Then our pricing model is given by a solving problem of several linear PDEs with variable coefficients and terminal value of binary type in every subinterval between the two adjacent announcing dates. Our main approach is to use higher order binaries. We first provide the pricing formulae of higher order binaries with time dependent coefficients and consider their integrals on the last expiry date variable. Then using the pricing formulae of higher binary options and their integrals, we give the pricing formulae of defaultable bonds in both cases of exogenous and endogenous default recoveries and credit spread analysis.

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File URL: http://arxiv.org/pdf/1305.6868
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Bibliographic Info

Paper provided by arXiv.org in its series Papers with number 1305.6868.

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Date of creation: May 2013
Date of revision: Jun 2013
Handle: RePEc:arx:papers:1305.6868

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Web page: http://arxiv.org/

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