Present value of firm in case of correlated defaults

In this article, the valuation of firm’s present value in case of correlated defaults is studied. We showed that the valuation of portfolio credit risk can be interpreted as a valuation of the multiple contingent option. In this article, some results for valuation of multiple contingent options are...

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Main Author: Mantas Valužis
Format: Article
Language:English
Published: Vilnius University Press 2023-09-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/30731
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author Mantas Valužis
author_facet Mantas Valužis
author_sort Mantas Valužis
collection DOAJ
description In this article, the valuation of firm’s present value in case of correlated defaults is studied. We showed that the valuation of portfolio credit risk can be interpreted as a valuation of the multiple contingent option. In this article, some results for valuation of multiple contingent options are generalized in case of stochastic barriers and the financial interpretation is given. Also, the modelling of other financial risks, notably, the market risk (the change of debt value) and the operational risk (the adequacy of selected credibility criteria) are included in these theorems. Using the principle of conservatism in credit risk assessment, the debtor credibility, the debt value and the firm value are assumed to follow geometric Wiener process.
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institution Kabale University
issn 0132-2818
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series Lietuvos Matematikos Rinkinys
spelling doaj-art-ca7f8e11ba9844f6a4b010a90b8f687b2025-02-11T18:12:35ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-09-0146spec.10.15388/LMR.2006.30731Present value of firm in case of correlated defaultsMantas Valužis0Vilnius University In this article, the valuation of firm’s present value in case of correlated defaults is studied. We showed that the valuation of portfolio credit risk can be interpreted as a valuation of the multiple contingent option. In this article, some results for valuation of multiple contingent options are generalized in case of stochastic barriers and the financial interpretation is given. Also, the modelling of other financial risks, notably, the market risk (the change of debt value) and the operational risk (the adequacy of selected credibility criteria) are included in these theorems. Using the principle of conservatism in credit risk assessment, the debtor credibility, the debt value and the firm value are assumed to follow geometric Wiener process. https://www.zurnalai.vu.lt/LMR/article/view/30731credit riskdefault correlationcontingent option
spellingShingle Mantas Valužis
Present value of firm in case of correlated defaults
Lietuvos Matematikos Rinkinys
credit risk
default correlation
contingent option
title Present value of firm in case of correlated defaults
title_full Present value of firm in case of correlated defaults
title_fullStr Present value of firm in case of correlated defaults
title_full_unstemmed Present value of firm in case of correlated defaults
title_short Present value of firm in case of correlated defaults
title_sort present value of firm in case of correlated defaults
topic credit risk
default correlation
contingent option
url https://www.zurnalai.vu.lt/LMR/article/view/30731
work_keys_str_mv AT mantasvaluzis presentvalueoffirmincaseofcorrelateddefaults