Hedging the Risk of Delayed Data in Defaultable Markets. Issue 2 (4th March 2019)

• Record Type: Journal Article
• Authors: Okhrati, Ramin
• Is Part Of: Applied mathematical finance. Volume 26:Issue 2(2019)
• Page Start: 101
• Page End: 130
• Publication Date: 2019-03-04
• Subjects: Defaultable claims -- pseudo local risk minimization -- intensity -- delayed data -- random time change; Business mathematics -- Periodicals; 650.0151
• DOI: 10.1080/1350486X.2019.1590784
• Languages: English
• ISSNs: 1350-486X

Abstract

ABSTRACT: We investigate hedging the risk of delayed data in certain defaultable securities through the local risk minimization approach. From a financial point of view, this indicates that in addition to the risk of default, investors also face incomplete accounting data. In our analysis, the delay is modelled by a random time change, and different levels of information, including the full market's, management's, and investors' information, are distinguished. We obtain semi-explicit solutions for pseudo locally risk minimizing hedging strategies from the perspective of investors where the results are presented according to the solutions of partial differential equations. In obtaining the main results of this paper, we apply a filtration expansion theorem that determines the canonical decomposition of stopped special semimartingales in an enlarged filtration of investors' information.