{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/50694"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/50694","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Clearing financial network and its stability","abstract":"In the first part of this thesis, we study the application of a clearing mechanism of a financial network to a specific type of financial network, which is established upon an abstract underlying asset. In particular, we focus on the stability of the network against the fluctuation of underlying market, which is measured by default threshold sequence. We also consider the behavior of this sequence with some perturbation to configuration of the network itself. We will prove the continuity of the sequence, based upon which we will take a look at the aspect of large deviation principle of the sequence with appropriate random settings. In the second part, we also consider an operation, called novation, which changes the topology of a financial network and hence its stability. However, the stability in this case is measured by the exposure to the central counterparty, which novates trades between members in the network. We will see how the stability is related to two important characteristics of a novation structure, tiering and concentration.","abstract_html":"In the first part of this thesis, we study the application of a clearing mechanism of a financial network to a specific type of financial network, which is established upon an abstract underlying asset. In particular, we focus on the stability of the network against the fluctuation of underlying market, which is measured by default threshold sequence. We also consider the behavior of this sequence with some perturbation to configuration of the network itself. We will prove the continuity of the sequence, based upon which we will take a look at the aspect of large deviation principle of the sequence with appropriate random settings. In the second part, we also consider an operation, called novation, which changes the topology of a financial network and hence its stability. However, the stability in this case is measured by the exposure to the central counterparty, which novates trades between members in the network. We will see how the stability is related to two important characteristics of a novation structure, tiering and concentration.","abstract_has_math":false,"creators":["Song, Rui"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Sowers, Richard B.","Song, Renming","DeVille, Robert E.","Fen, Runhuan"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-09-16T17:25:21Z","date_published":"2014-09-16T17:25:21Z","updated_at":"2026-07-22T22:25:41Z","subjects":["Financial Network","Clearing","Eisenberg-Noe","Novation","Large Deviation"],"languages":["en"],"rights":["Copyright 2014 Rui Song"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/50694","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Sowers, Richard B.","Song, Renming","DeVille, Robert E.","Fen, Runhuan"]},{"key":"dc:creator","label":"Author","values":["Song, Rui"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-09-16T17:25:21Z","2014-08","2014-09-16"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Financial Network","Clearing","Eisenberg-Noe","Novation","Large Deviation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2014 Rui Song"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/50694"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In the first part of this thesis, we study the application of a clearing mechanism of a financial network to a specific type of financial network, which is established upon an abstract underlying asset. 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We also consider the behavior of this sequence with some perturbation to configuration of the network itself. We will prove the continuity of the sequence, based upon which we will take a look at the aspect of large deviation principle of the sequence with appropriate random settings. In the second part, we also consider an operation, called novation, which changes the topology of a financial network and hence its stability. However, the stability in this case is measured by the exposure to the central counterparty, which novates trades between members in the network. 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