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Analysis on the Pricing model for a Discrete Coupon Bond with Early redemption provision by the Structural Approach

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  • Hyong Chol O
  • Tae Song Kim

Abstract

In this paper, using the structural approach is derived a mathematical model of the discrete coupon bond with the provision that allow the holder to demand early redemption at any coupon dates prior to the maturity and based on this model is provided some analysis including min-max and gradient estimates of the bond price. Using these estimates the existence and uniqueness of the default boundaries and some relationships between the design parameters of the discrete coupon bond with early redemption provision are described. Then under some assumptions the existence and uniqueness of the early redemption boundaries is proved and the analytic formula of the bond price is provided using higher binary options. Finally for our bond is provided the analysis on the duration and credit spread, which are used widely in financial reality. Our works provide a design guide of the discrete coupon bond with the early redemption provision

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  • Hyong Chol O & Tae Song Kim, 2020. "Analysis on the Pricing model for a Discrete Coupon Bond with Early redemption provision by the Structural Approach," Papers 2007.01511, arXiv.org.
    • Handle: RePEc:arx:papers:2007.01511
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    References listed on IDEAS

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    Cited by:

    1. Hyong Chol O & Dae Song Choe & Gyong-Dok Rim, 2022. "Analytical Pricing of 2 Factor Structural PDE model for a Puttable Bond with Credit Risk," Papers 2203.05719, arXiv.org.
    2. Hyong-Chol O & Tae-Song Kim & Tae-Song Choe, 2021. "Solution Representations of Solving Problems for the Black-Scholes equations and Application to the Pricing Options on Bond with Credit Risk," Papers 2109.10818, arXiv.org, revised Nov 2021.

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