Exponential Power Jump Diffusion Model Applied to Credit Risk

David Clarence Gray

ISBN 10: 6204207504 / ISBN 13: 9786204207506

Published by LAP LAMBERT Academic Publishing Sep 2021, 2021

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 104 pp. Englisch.

Seller Inventory # 9786204207506

Bibliographic Details

• Title: Exponential Power Jump Diffusion Model Applied to Credit Risk
• Publisher: LAP LAMBERT Academic Publishing Sep 2021
• Publication Date: 2021
• Language: English
• ISBN 10: 6204207504
• ISBN 13: 9786204207506
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 7D millimeters 220 millimeters width by 150 millimeters height by 7 millimeters depth
• Weight: 173 grams

About this title

Synopsis

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.