Expectations of Functions of Stochastic Time with Application to Credit Risk Modeling
40 Pages Posted: 9 Apr 2013
Date Written: February 26, 2013
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
Keywords: Stochastic time change, default intensity, credit risk, CDS options
JEL Classification: G12, G13
Suggested Citation: Suggested Citation
Do you have negative results from your research you’d like to share?
Recommended Papers
-
Explaining the Rate Spread on Corporate Bonds
By Edwin J. Elton, Martin J. Gruber, ...
-
The Determinants of Credit Spread Changes
By Pierre Collin-dufresne, J. Spencer Martin, ...
-
How Much of Corporate-Treasury Yield Spread is Due to Credit Risk?
By Jing-zhi Huang and Ming Huang
-
How Much of the Corporate-Treasury Yield Spread is Due to Credit Risk?
By Jing-zhi Huang and Ming Huang
-
How Much of the Corporate-Treasury Yield Spread is Due to Credit Risk?
By Jing-zhi Huang and Ming Huang
-
Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit-Default Swap Market
By Francis A. Longstaff, Sanjay Mithal, ...
-
Equity Volatility and Corporate Bond Yields
By John Y. Campbell and Glen B. Taksler
-
Equity Volatility and Corporate Bond Yields
By John Y. Campbell and Glen B. Taksler
-
Structural Models of Corporate Bond Pricing: An Empirical Analysis
By Young Ho Eom, Jing-zhi Huang, ...
-
By Roberto Blanco, Simon Brennan, ...