Expectations of functions of stochastic time with application to credit risk modeling

Ovidiu Costin, Michael Gordy, Min Huang and Pawel J. Szerszen
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Pawel J. Szerszen: https://www.federalreserve.gov/econres/pawel-j-szerszen.htm

No 2013-14, Finance and Economics Discussion Series from Board of Governors of the Federal Reserve System (U.S.)

Abstract: We develop two novel approaches to solving for the Laplace transform of a time-changed stochastic process. We discard the standard assumption that the background process (Xt) is Levy. Maintaining the assumption that the business clock (Tt) and the background process are independent, we develop two different series solutions for the Laplace transform of the time-changed process X-tildet=X(Tt). In fact, our methods apply not only to Laplace transforms, but more generically to expectations of smooth functions of random time. We apply the methods to introduce stochastic time change to the standard class of default intensity models of credit risk, and show that stochastic time-change has a very large effect on the pricing of deep out-of-the-money options on credit default swaps.

Date: 2013
New Economics Papers: this item is included in nep-ban and nep-ore
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Related works:
Journal Article: EXPECTATIONS OF FUNCTIONS OF STOCHASTIC TIME WITH APPLICATION TO CREDIT RISK MODELING (2016)
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