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Stochastic control of credit default insurance for subprime residential mortgage‐backed securities
Author(s) -
Petersen M. A.,
Mulaudzi M. P.,
MukuddemPetersen J.,
Schoeman I. M.,
Waal B.
Publication year - 2011
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.1001
Subject(s) - securitization , mortgage insurance , synthetic cdo , subprime mortgage crisis , collateralized debt obligation , credit default swap , mortgage underwriting , secondary mortgage market , business , itraxx , commercial mortgage backed security , collateralized mortgage obligation , structured finance , credit default swap index , financial system , credit risk , actuarial science , finance , economics , credit enhancement , insurance policy , financial crisis , credit reference , general insurance , collateral , macroeconomics
SUMMARY Subprime residential mortgage securitization and its associated risks have been a major topic of discussion since the onset of the mortgage crisis in July 2007. In this paper, we provide a stochastic dynamic model for investing bank profit under mortgage securitization. In addition, aspects of this model are illustrated by means of a numerical example. In addition, we solve a stochastic optimal credit default insurance problem that has the cash outflow rate for satisfying depositor obligations, the investment in structured mortgage products and credit default insurance as controls. As far as the latter is concerned, we compute credit default swap and accrued premiums by considering the credit rating of structured mortgage products such as residential mortgage‐backed securities and collateralized debt obligations. Copyright © 2011 John Wiley & Sons, Ltd.