Exponential Power Jump Diffusion Model Applied to Credit Risk / Nejlevnější knihy
Exponential Power Jump Diffusion Model Applied to Credit Risk

Kód: 37326766

Exponential Power Jump Diffusion Model Applied to Credit Risk

Autor A. A. Olosunde, A. A. Osuntuyi

This study formulated a model for the evolution of a firm's value, obtained the probability of a firm's default under the formulated model. More precisely, based on the structural approach to credit risk modeling, the dynamics of ... celý popis

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This study formulated a model for the evolution of a firm's value, obtained the probability of a firm's default under the formulated model. More precisely, based on the structural approach to credit risk modeling, the dynamics of the value of the firm is assumed to be a combination of a diffusion process and a jump process driven by an exponential power distribution. Within the framework of structural models of credit risk, the Nikkie 225 asset value was modelled by a jump-diffusion process. A compound Poisson process driven by an exponential power distribution was used as the jump component to construct a jump diffusion model for the Nikkie 225 asset value and the diffusion component was modelled by a geometric Brownian process. The Ito's formula for a jump-diffusion process was used to establish the solution to the proposed model. The distribution of the jump-diffusion process together with the assumption that default on the debt contract can only occur at maturity was used to obtain the probability of default of the firm.

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