Frey, Rüdiger. 2012. Dynamics of Corporate Security Prices and Option Pricing in Firm Value Models with Incomplete Information. Actuarial and Financial Mathematics Conference 2012, Brussels, Belgien, 09.02-10.02.

RIS

@CONFERENCE{Frey2012,
title = {Dynamics of Corporate Security Prices and Option Pricing in Firm Value Models with Incomplete Information},
author = {Rüdiger Frey},
year = {2012},
address = {Brussels},
url = {http://www.afmathconf.ugent.be/index.php?page=programme},
language = {EN},
misc = {Actuarial and Financial Mathematics Conference 2012},
abstract = {This talk is concerned with structural credit risk models with incomplete information of the asset value. It is shown that the pricing of typical corporate securities such as equity, corporate bonds or CDSs leads to a nonlinear filtering problem. This problem cannot be tackled with standard techniques as the default time does not have an intensity under full information. Using the Dellacherie-formula the problem is transformed to a standard filtering problem for a stopped diffusion process. This problem is analyzed via SPDE results from the filtering literature. In particular we are able to characterize the default intensity under incomplete information in terms of the conditional density of the asset value process, thereby generalizing an earlier result of Duffie and Lando (2001). Moreover, we give an explicit description of the dynamics of corporate security prices. The last part is devoted to applications of the model in the pricing of bond and equity options.},
}