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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/19231

Title: Utility Indifference Pricing of Credit Instruments
Authors: Sigloch, Georg
Advisor: Jaimungal, Sebastian
Department: Mathematics
Keywords: utility indifference pricing
credit instruments
risk aversion
model uncertainty
stochastic optimal control
Issue Date: 3-Mar-2010
Abstract: While the market for credit instruments grew continuously in the decade before 2008, its liquidity has dried up significantly in the current crisis, and investors have become aware of the possible consequences of being exposed to credit risk. In this thesis we address these issues by pricing credit instruments using utility indifference pricing, a method that takes into account the investor's personal risk aversion and which is not affected by the lack of liquidity. Through stochastic optimal control methods, we use indifference pricing with exponential utility to determine corporate bond prices and CDS spreads. In the first part we examine how these quantities are affected by risk aversion under different models of default. The emphasis lies on a hybrid model, in which a regime switch of the reference entity is triggered by a creditworthiness index correlated to its stock price. The second part generalizes this setup by introducing uncertainty in the model parameters. Robust optimal control has been used independently in the literature to address model uncertainty for portfolio selection problems. Here, we incorporate this approach with utility indifference and derive some analytical and numerical results on how model uncertainty affects credit spreads.
URI: http://hdl.handle.net/1807/19231
Appears in Collections:Doctoral
Department of Mathematics - Doctoral theses

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