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Hedging of the credit risk embedded in derivative transactions

Posted on:2001-09-22Degree:Ph.DType:Dissertation
University:Carnegie Mellon UniversityCandidate:Greenfield, Yuri MichaelFull Text:PDF
GTID:1469390014954752Subject:Mathematics
Abstract/Summary:
In this document, we start with an overview of the fixed income and foreign exchange markets. The fundamental derivatives concepts, such as the swap curve and mark-to-market, are introduced. We study the credit risk associated with derivative transactions, as resulting from possible counterparty default. Our credit model assumes liquid trading of default-free and counterparty bonds of all relevant maturities. In contrast to the Jarrow-Turnbull model characterized by the exponential distribution of default time, we use the risky bond prices observed in the marketplace as a starting point and imply the distribution of default time. Using this model, we price the credit risk associated with a variety of standard fixed income and currency derivatives. Most importantly, we find a hedging portfolio that utilizes dynamic trading of default-free instruments and counterparty bonds to neutralize the credit risk of any derivative transaction. A few specific examples of transactions that can be an asset to either party, such as interest rate and currency swaps, are explored in the last chapter.
Keywords/Search Tags:Credit risk, Derivative
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