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SSRN Electronic Journal
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SSRN Electronic Journal
Article . 2014 . Peer-reviewed
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A Structural Model with Jump Diffusion Processes

Authors: Dao, Thi Thanh Binh;

A Structural Model with Jump Diffusion Processes

Abstract

In this paper, we extend the framework of Leland’s 94 by examining corporate debt, equity and firm values with jump-difffusion processes. We choose two kinds of jumps such as the uniform and double exponential jumps to model the distribution of the log jump sizes. By this choice, we are able to derive closed-form results in both models for equity, debt and firm values. Analysis of credit spread, debt value and firm value has been done for three proposed models: diffusion process diffusion with uniform jump and diffusion with double exponential jumps. Our results have the same forms as those of Leland’s 94. However, in both of our models, the spreads are modified significantly in comparison with those of Leland due to jumps’ assumption.

Keywords

Equity debt; Corporate debt; Leland;, [SHS.ECO] Humanities and Social Sciences/Economics and Finance, jel: jel:G3

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
hybrid